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Journal articles on the topic 'Telegraph process'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

NOAKES, RICHARD J. "Telegraphy is an occult art: Cromwell Fleetwood Varley and the diffusion of electricity to the other world." British Journal for the History of Science 32, no. 4 (1999): 421–59. http://dx.doi.org/10.1017/s0007087499003763.

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In May 1862 Desmond G. Fitzgerald, the editor of the Electrician, lamented thattelegraphy has been until lately an art occult even to many of the votaries of electrical science. Submarine telegraphy, initiated by a bold and tentative process – the laying of the Dover cable in the year 1850 – opened out a vast field of opportunity both to merit and competency, and to unscrupulous determination. For the purposes of the latter, the field was to be kept close [sic], and science, which can alone be secured by merit, more or less ignored.To Fitzgerald, the ‘occult’ status of the telegraph looked set

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2

Ratanov, Nikita, and Mikhail Turov. "On Local Time for Telegraph Processes." Mathematics 11, no. 4 (2023): 934. http://dx.doi.org/10.3390/math11040934.

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The article consists of an introduction into the theory of passage times associated with telegraph processes. Local time for the telegraph process is defined and analysed. We provide some limited results for telegraphic local times.

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3

Pogorui, Anatoliy A., Anatoliy Swishchuk, and Ramón M. Rodríguez-Dagnino. "Transformations of Telegraph Processes and Their Financial Applications." Risks 9, no. 8 (2021): 147. http://dx.doi.org/10.3390/risks9080147.

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In this paper, we consider non-linear transformations of classical telegraph process. The main results consist of deriving a general partial differential Equation (PDE) for the probability density (pdf) of the transformed telegraph process, and then presenting the limiting PDE under Kac’s conditions, which may be interpreted as the equation for a diffusion process on a circle. This general case includes, for example, classical cases, such as limiting diffusion and geometric Brownian motion under some specifications of non-linear transformations (i.e., linear, exponential, etc.). We also give t

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4

Pogorui, Anatoliy, Anatoly Swishchuk, Ramón M. Rodríguez-Dagnino, and Alexander Sarana. "Cox-Based and Elliptical Telegraph Processes and Their Applications." Risks 11, no. 7 (2023): 126. http://dx.doi.org/10.3390/risks11070126.

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This paper studies two new models for a telegraph process: Cox-based and elliptical telegraph processes. The paper deals with the stochastic motion of a particle on a straight line and on an ellipse with random positive velocity and two opposite directions of motion, which is governed by a telegraph–Cox switching process. A relevant result of our analysis on the straight line is obtaining a linear Volterra integral equation of the first kind for the characteristic function of the probability density function (PDF) of the particle position at a given time. We also generalize Kac’s condition for

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5

ORSINGHER, E., and XUELEI ZHAO. "THE SPACE-FRACTIONAL TELEGRAPH EQUATION AND THE RELATED FRACTIONAL TELEGRAPH PROCESS." Chinese Annals of Mathematics 24, no. 01 (2003): 45–56. http://dx.doi.org/10.1142/s0252959903000050.

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6

Bshouty, Daoud, Antonio Di Crescenzo, Barbara Martinucci, and Shelemyahu Zacks. "Generalized Telegraph Process with Random Delays." Journal of Applied Probability 49, no. 3 (2012): 850–65. http://dx.doi.org/10.1239/jap/1346955338.

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In this paper we study the distribution of the location, at time t, of a particle moving U time units upwards, V time units downwards, and W time units of no movement (idle). These are repeated cyclically, according to independent alternating renewals. The distributions of U, V, and W are absolutely continuous. The velocities are v = +1 upwards, v = -1 downwards, and v = 0 during idle periods. Let Y+(t), Y−(t), and Y0(t) denote the total time in (0, t) of movements upwards, downwards, and no movements, respectively. The exact distribution of Y+(t) is derived. We also obtain the probability law

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7

Di Crescenzo, Antonio, Antonella Iuliano, Barbara Martinucci, and Shelemyahu Zacks. "Generalized Telegraph Process with Random Jumps." Journal of Applied Probability 50, no. 2 (2013): 450–63. http://dx.doi.org/10.1239/jap/1371648953.

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We consider a generalized telegraph process which follows an alternating renewal process and is subject to random jumps. More specifically, consider a particle at the origin of the real line at time t=0. Then it goes along two alternating velocities with opposite directions, and performs a random jump toward the alternating direction at each velocity reversal. We develop the distribution of the location of the particle at an arbitrary fixed time t, and study this distribution under the assumption of exponentially distributed alternating random times. The cases of jumps having exponential distr

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8

Bshouty, Daoud, Antonio Di Crescenzo, Barbara Martinucci, and Shelemyahu Zacks. "Generalized Telegraph Process with Random Delays." Journal of Applied Probability 49, no. 03 (2012): 850–65. http://dx.doi.org/10.1017/s002190020000958x.

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In this paper we study the distribution of the location, at time t, of a particle moving U time units upwards, V time units downwards, and W time units of no movement (idle). These are repeated cyclically, according to independent alternating renewals. The distributions of U, V, and W are absolutely continuous. The velocities are v = +1 upwards, v = -1 downwards, and v = 0 during idle periods. Let Y +(t), Y −(t), and Y 0(t) denote the total time in (0, t) of movements upwards, downwards, and no movements, respectively. The exact distribution of Y +(t) is derived. We also obtain the probability

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9

Di Crescenzo, Antonio, Antonella Iuliano, Barbara Martinucci, and Shelemyahu Zacks. "Generalized Telegraph Process with Random Jumps." Journal of Applied Probability 50, no. 02 (2013): 450–63. http://dx.doi.org/10.1017/s0021900200013486.

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We consider a generalized telegraph process which follows an alternating renewal process and is subject to random jumps. More specifically, consider a particle at the origin of the real line at timet=0. Then it goes along two alternating velocities with opposite directions, and performs a random jump toward the alternating direction at each velocity reversal. We develop the distribution of the location of the particle at an arbitrary fixed timet, and study this distribution under the assumption of exponentially distributed alternating random times. The cases of jumps having exponential distrib

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10

Yizhi, Sun, and Ia S. Guzei. "MODERNIZATION OF TRANSPORT INFRASTRUCTURE ON THE CHINESE EASTERN RAILWAY: ESTABLISHMENT OF THE POSTAL AND TELEGRAPH SYSTEM ALONG THE KAIDALOVSKAYA LINE AT THE TURN OF THE 19th AND 20th CENTURIES." LOMONOSOV HISTORY JOURNAL 65, no. 2024, №1 (2024): 70–85. http://dx.doi.org/10.55959/msu0130-0083-8-2024-65-1-70-85.

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In the late 19th and early 20th centuries, the development of a robust postal and telegraph system, alongside the construction of railways, was a crucial indicator of social modernization. Th e effi cient operation of the Chinese Eastern Railway and its connecting Kaidalovskaya line depended heavily on the organization of communication along the railway. Establishing comprehensive postal and telegraphic communication was also vital for the local population. Th is study aims to examine the formation of the postal and telegraphic system along the Kaidalovskaya line of the Transbaikal Railway. Du

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11

D'Arrigo, A., G. Falci, and E. Paladino. "Dynamical decoupling of random telegraph noise in a two-qubit gate." International Journal of Quantum Information 12, no. 02 (2014): 1461008. http://dx.doi.org/10.1142/s0219749914610085.

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Controlling the dynamics of entanglement and preventing its disappearance are central requisites for any implementation of quantum information processing. Solid state qubits are frequently affected by random telegraph noise due to bistable impurities of different nature coupled to the device. In this paper, we investigate the possibility to achieve an efficient universal two-qubit gate in the presence of random telegraph noise by periodic dynamical decoupling. We find an analytic form of the gate error as a function of the number of applied pulses valid when the gate time is much shorter then

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12

Dhino, Ronal. "TELEGRAM AS A MEDIUM OF ACADEMIC INTERACTION (Study of Academic Use and Services for Students of the Faculty of Islamic Religion, Nurul Jadid University)." Wasilatuna: Jurnal Komunikasi dan Penyiaran Islam 6, no. 01 (2023): 49–63. https://doi.org/10.38073/wasilatuna.v6i01.894.

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Telegram is so popular on the campus of Nurul Jadid University, especially at the faculty of Islamic religion since 2018 students as active users. The development of the function of using Telegram, there are several factors, one of which is due to busyness and to make it easier for lecturers who require students and lecturers to conduct learning and notification of information through online media and especially on this campus that utilizes Telegram media. The purpose of this study is to describe Telegram which has relevant features in online information notifications from academic faculty, as

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13

Khasminskii, Rafail Z., and Yury A. Kutoyants. "On parameter estimation of hidden telegraph process." Bernoulli 24, no. 3 (2018): 2064–90. http://dx.doi.org/10.3150/16-bej920.

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14

Iacus, S. M., and N. Yoshida. "Estimation for the discretely observed telegraph process." Theory of Probability and Mathematical Statistics 78 (2009): 37–47. http://dx.doi.org/10.1090/s0094-9000-09-00760-1.

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15

Bogachev, Leonid, and Nikita Ratanov. "Occupation time distributions for the telegraph process." Stochastic Processes and their Applications 121, no. 8 (2011): 1816–44. http://dx.doi.org/10.1016/j.spa.2011.03.016.

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16

Ratanov, Nikita, Antonio Di Crescenzo, and Barbara Martinucci. "Piecewise deterministic processes following two alternating patterns." Journal of Applied Probability 56, no. 4 (2019): 1006–19. http://dx.doi.org/10.1017/jpr.2019.58.

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AbstractWe propose a wide generalization of known results related to the telegraph process. Functionals of the simple telegraph process on a straight line and their generalizations on an arbitrary state space are studied.

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17

Woods, Robert O. "A Cable to Shrink the Earth." Mechanical Engineering 133, no. 01 (2011): 40–44. http://dx.doi.org/10.1115/1.2011-jan-5.

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This article discusses how the invention of the telegram revolutionized the communication process in the mid-19th century. On August 15, 1858, Queen Victoria sent a telegram to President Buchanan. It was a joint American and British effort, spearheaded from the American side by an indefatigable financier, Cyrus West Field, and on the British side by a telegraph company. The message of 98 words took sixteen and a half hours to transmit. The cable that carried Victoria’s message was laid in two sections beginning from a rendezvous point in mid-Atlantic. Two converted battleships spliced their ca

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18

Martinucci, Barbara, and Alessandra Meoli. "Certain functionals of squared telegraph processes." Stochastics and Dynamics 20, no. 01 (2019): 2050005. http://dx.doi.org/10.1142/s0219493720500057.

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We investigate the stochastic process defined as the square of the (integrated) symmetric telegraph process. Specifically, we obtain its probability law and a closed form expression of the moment generating function. Some results on the first-passage time through a fixed positive level are also provided. Moreover, we analyze some functionals [Formula: see text] of two independent squared telegraph processes, both in the case [Formula: see text] and [Formula: see text]. Starting from this study, we provide some results on the probability density functions of the two-dimensional radial telegraph

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19

Surur, Agus Miftakus, Yudi Ari Adi, and Sugiyanto Sugiyanto. "Penyelesaian Persamaan Telegraph Dan Simulasinya." Jurnal Fourier 2, no. 1 (2013): 33. http://dx.doi.org/10.14421/fourier.2013.21.33-43.

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Equation Telegraph is one of type from wave equation. Solving of the wave equation obtainable by using Green's function with the method of boundary condition problem. This research aim to to show the process obtain;get the mathematical formula from wave equation and also know the form of solution of wave equation by using Green's function. Result of analysis indicate that the process get the mathematical formula from wave equation from applicable Green's function in equation which deal with the wave equation, that is applied in equation Telegraph. Solution started with searching public form fr

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20

Di Crescenzo, Antonio, and Barbara Martinucci. "On the Generalized Telegraph Process with Deterministic Jumps." Methodology and Computing in Applied Probability 15, no. 1 (2011): 215–35. http://dx.doi.org/10.1007/s11009-011-9235-x.

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21

Di Crescenzo, Antonio, Barbara Martinucci, and Shelemyahu Zacks. "Telegraph Process with Elastic Boundary at the Origin." Methodology and Computing in Applied Probability 20, no. 1 (2017): 333–52. http://dx.doi.org/10.1007/s11009-017-9549-4.

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22

Kielbowicz, Richard B. "Electrifying news! Journalists, audiences, and the culture of timeliness in the United States, 1840--1920." Time & Society 28, no. 1 (2016): 200–230. http://dx.doi.org/10.1177/0961463x16634724.

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The telegraph literally and figuratively electrified news by transforming reporting into a process that delivered impulses of information whose timeliness often riveted and sometimes excited newspaper audiences. The now-familiar daily news cycle—scheduled reports of recent news punctuated by even more timely breaking news—originated with telegraphic journalism. Daily papers began presenting themselves as the public’s portal to an electrified national and international newsgathering network. Looking beyond the role of telegraph firms and wire services, this study explores how the culture of jou

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23

Orsingher, Enzo. "Random motions governed by third-order equations." Advances in Applied Probability 22, no. 04 (1990): 915–28. http://dx.doi.org/10.1017/s0001867800023193.

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In this paper we analyse the motion of a particle P whose velocity is represented by a three-valued telegraph process. We prove that the probability law of the process describing the position of P is a solution of a third-order, linear, partial differential equation. We obtain probability distributions of some generalised versions of the process of random signals, as well as other probabilistic features of the related process. Finally, accelerated motions of P (where acceleration follows the classical telegraph process) are also analysed.

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Orsingher, Enzo. "Random motions governed by third-order equations." Advances in Applied Probability 22, no. 4 (1990): 915–28. http://dx.doi.org/10.2307/1427568.

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In this paper we analyse the motion of a particle P whose velocity is represented by a three-valued telegraph process. We prove that the probability law of the process describing the position of P is a solution of a third-order, linear, partial differential equation.We obtain probability distributions of some generalised versions of the process of random signals, as well as other probabilistic features of the related process.Finally, accelerated motions of P (where acceleration follows the classical telegraph process) are also analysed.

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25

Khoa, Doan Quoc, Chu Van Lanh, Phan Xuan Sanh, et al. "An Exactly Soluble Equation for the Stationary Probability Distribution in a Nonlinear System under the Influence of Two-telegraph Noise: Application to the Noise Reduction in a Raman Ring Laser." Communications in Physics 26, no. 1 (2016): 75. http://dx.doi.org/10.15625/0868-3166/26/1/8352.

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In this paper, we will consider a model of nonlinear system with random telegraph noises and a Raman ring laser by modeling the laser pump light by a pregaussian process and find an exactly soluble equations for the stationary probability distribution of fluctuations in this nonlinear system under the influence of two-telegraph noise. In consequence, we will obtain the so-called noise reduction in this system: the Stokes output of this laser tends to the stabilize under the influence of the broad-band two-telegraph pregaussian pump and compare this results with that obtained in our previous pa

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26

Stadje, W., and S. Zacks. "Telegraph processes with random velocities." Journal of Applied Probability 41, no. 03 (2004): 665–78. http://dx.doi.org/10.1017/s0021900200020465.

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We study a one-dimensional telegraph process (Mt)t≥0describing the position of a particle moving at constant speed between Poisson times at which new velocities are chosen randomly. The exact distribution ofMtand its first two moments are derived. We characterize the level hitting times ofMtin terms of integro-differential equations which can be solved in special cases.

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Di Crescenzo, Antonio, and Alessandra Meoli. "On a jump-telegraph process driven by an alternating fractional Poisson process." Journal of Applied Probability 55, no. 1 (2018): 94–111. http://dx.doi.org/10.1017/jpr.2018.8.

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AbstractThe basic jump-telegraph process with exponentially distributed interarrival times deserves interest in various applied fields such as financial modelling and queueing theory. Aiming to propose a more general setting, we analyse such a stochastic process when the interarrival times separating consecutive velocity changes (and jumps) have generalized Mittag-Leffler distributions, and constitute the random times of a fractional alternating Poisson process. By means of renewal theory-based issues we obtain the forward and backward transition densities of the motion in series form, and pro

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28

Stadje, W., and S. Zacks. "Telegraph processes with random velocities." Journal of Applied Probability 41, no. 3 (2004): 665–78. http://dx.doi.org/10.1239/jap/1091543417.

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We study a one-dimensional telegraph process (Mt)t≥0 describing the position of a particle moving at constant speed between Poisson times at which new velocities are chosen randomly. The exact distribution of Mt and its first two moments are derived. We characterize the level hitting times of Mt in terms of integro-differential equations which can be solved in special cases.

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Di Crescenzo, Antonio, and Barbara Martinucci. "A Damped Telegraph Random Process with Logistic Stationary Distribution." Journal of Applied Probability 47, no. 1 (2010): 84–96. http://dx.doi.org/10.1239/jap/1269610818.

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We introduce a stochastic process that describes a finite-velocity damped motion on the real line. Differently from the telegraph process, the random times between consecutive velocity changes have exponential distribution with linearly increasing parameters. We obtain the probability law of the motion, which admits a logistic stationary limit in a special case. Various results on the distributions of the maximum of the process and of the first passage time through a constant boundary are also given.

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30

Di Crescenzo, Antonio, and Barbara Martinucci. "A Damped Telegraph Random Process with Logistic Stationary Distribution." Journal of Applied Probability 47, no. 01 (2010): 84–96. http://dx.doi.org/10.1017/s0021900200006410.

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We introduce a stochastic process that describes a finite-velocity damped motion on the real line. Differently from the telegraph process, the random times between consecutive velocity changes have exponential distribution with linearly increasing parameters. We obtain the probability law of the motion, which admits a logistic stationary limit in a special case. Various results on the distributions of the maximum of the process and of the first passage time through a constant boundary are also given.

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31

Pozdnyakov, Vladimir, L. Mark Elbroch, Anthony Labarga, Thomas Meyer, and Jun Yan. "Discretely Observed Brownian Motion Governed by Telegraph Process: Estimation." Methodology and Computing in Applied Probability 21, no. 3 (2017): 907–20. http://dx.doi.org/10.1007/s11009-017-9547-6.

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32

HERRMANN, S., and P. VALLOIS. "FROM PERSISTENT RANDOM WALK TO THE TELEGRAPH NOISE." Stochastics and Dynamics 10, no. 02 (2010): 161–96. http://dx.doi.org/10.1142/s0219493710002905.

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We study a family of memory-based persistent random walks and we prove weak convergences after space-time rescaling. The limit processes are not only Brownian motions with drift. We have obtained a continuous but non-Markov process (Zt) which can be easily expressed in terms of a counting process (Nt). In a particular case the counting process is a Poisson process, and (Zt) permits to represent the solution of the telegraph equation. We study in detail the Markov process ((Zt, Nt); t ≥ 0).

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33

Di Matteo, Ilaria, and Enzo Orsingher. "Detailed probabilistic analysis of the integrated three-valued telegraph signal." Journal of Applied Probability 34, no. 3 (1997): 671–84. http://dx.doi.org/10.2307/3215093.

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In this paper the integrated three-valued telegraph process is examined. In particular, the third-order equations governing the distributions , (where N(t) denotes the number of changes of the telegraph process up to time t) are derived and recurrence relationships for them are obtained by solving suitable initial-value problems. These recurrence formulas are related to the Fourier transform of the conditional distributions and are used to obtain explicit results for small values of k. The conditional mean values (where V(0) denotes the initial velocity of motions) are obtained and discussed.

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Di Matteo, Ilaria, and Enzo Orsingher. "Detailed probabilistic analysis of the integrated three-valued telegraph signal." Journal of Applied Probability 34, no. 03 (1997): 671–84. http://dx.doi.org/10.1017/s0021900200101330.

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In this paper the integrated three-valued telegraph process is examined. In particular, the third-order equations governing the distributions , (where N(t) denotes the number of changes of the telegraph process up to time t) are derived and recurrence relationships for them are obtained by solving suitable initial-value problems. These recurrence formulas are related to the Fourier transform of the conditional distributions and are used to obtain explicit results for small values of k. The conditional mean values (where V(0) denotes the initial velocity of motions) are obtained and discussed.

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35

Wang, Fuzhang, and Enran Hou. "A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations." Journal of Mathematics 2020 (November 10, 2020): 1–9. http://dx.doi.org/10.1155/2020/8832197.

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In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two-dimensional second-order hyperbolic telegraph equations. Since these hyperbolic telegraph equations are time dependent, we present two schemes for the basis functions from radial and nonradial aspects. The first scheme is fulfilled by considering time variable as normal space variable to construct an “isotropic” space-time radial basis function. The other scheme considered a realistic relationship between space variable and time variable which is not rad

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36

Cinque, F., and E. Orsingher. "On the distribution of the maximum of the telegraph process." Theory of Probability and Mathematical Statistics 102 (March 29, 2021): 73–95. http://dx.doi.org/10.1090/tpms/1128.

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37

Pospelov, I. G., and S. A. Radionov. "Optimal Dividend Policy when Cash Surplus Follows the Telegraph Process." Mathematical Notes 109, no. 1-2 (2021): 125–35. http://dx.doi.org/10.1134/s0001434621010156.

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38

Cinque, Fabrizio. "A note on the conditional probabilities of the telegraph process." Statistics & Probability Letters 185 (June 2022): 109431. http://dx.doi.org/10.1016/j.spl.2022.109431.

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39

Crimaldi, Irene, Antonio Di Crescenzo, Antonella Iuliano, and Barbara Martinucci. "A Generalized Telegraph Process with Velocity Driven by Random Trials." Advances in Applied Probability 45, no. 4 (2013): 1111–36. http://dx.doi.org/10.1239/aap/1386857860.

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We consider a random trial-based telegraph process, which describes a motion on the real line with two constant velocities along opposite directions. At each epoch of the underlying counting process the new velocity is determined by the outcome of a random trial. Two schemes are taken into account: Bernoulli trials and classical Pólya urn trials. We investigate the probability law of the process and the mean of the velocity of the moving particle. We finally discuss two cases of interest: (i) the case of Bernoulli trials and intertimes having exponential distributions with linear rates (in whi

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40

López, Oscar, and Nikita Ratanov. "Option Pricing Driven by a Telegraph Process with Random Jumps." Journal of Applied Probability 49, no. 3 (2012): 838–49. http://dx.doi.org/10.1239/jap/1346955337.

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In this paper we propose a class of financial market models which are based on telegraph processes with alternating tendencies and jumps. It is assumed that the jumps have random sizes and that they occur when the tendencies are switching. These models are typically incomplete, but the set of equivalent martingale measures can be described in detail. We provide additional suggestions which permit arbitrage-free option prices as well as hedging strategies to be obtained.

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41

Crimaldi, Irene, Antonio Di Crescenzo, Antonella Iuliano, and Barbara Martinucci. "A Generalized Telegraph Process with Velocity Driven by Random Trials." Advances in Applied Probability 45, no. 04 (2013): 1111–36. http://dx.doi.org/10.1017/s0001867800006790.

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We consider a random trial-based telegraph process, which describes a motion on the real line with two constant velocities along opposite directions. At each epoch of the underlying counting process the new velocity is determined by the outcome of a random trial. Two schemes are taken into account: Bernoulli trials and classical Pólya urn trials. We investigate the probability law of the process and the mean of the velocity of the moving particle. We finally discuss two cases of interest: (i) the case of Bernoulli trials and intertimes having exponential distributions with linear rates (in whi

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42

López, Oscar, and Nikita Ratanov. "Option Pricing Driven by a Telegraph Process with Random Jumps." Journal of Applied Probability 49, no. 03 (2012): 838–49. http://dx.doi.org/10.1017/s0021900200009578.

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In this paper we propose a class of financial market models which are based on telegraph processes with alternating tendencies and jumps. It is assumed that the jumps have random sizes and that they occur when the tendencies are switching. These models are typically incomplete, but the set of equivalent martingale measures can be described in detail. We provide additional suggestions which permit arbitrage-free option prices as well as hedging strategies to be obtained.

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43

Beghin, L., L. Nieddu, and E. Orsingher. "Probabilistic analysis of the telegrapher's process with drift by means of relativistic transformations." Journal of Applied Mathematics and Stochastic Analysis 14, no. 1 (2001): 11–25. http://dx.doi.org/10.1155/s104895330100003x.

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The telegrapher's process with drift is here examined and its distribution is obtained by applying the Lorentz transformation. The related characteristic function as well as the distribution are also derived by solving an initial value problem for the generalized telegraph equation.

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44

Górska, Katarzyna, Francisco J. Sevilla, Guillermo Chacón-Acosta, and Trifce Sandev. "Fractional Telegrapher’s Equation under Resetting: Non-Equilibrium Stationary States and First-Passage Times." Entropy 26, no. 8 (2024): 665. http://dx.doi.org/10.3390/e26080665.

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We consider two different time fractional telegrapher’s equations under stochastic resetting. Using the integral decomposition method, we found the probability density functions and the mean squared displacements. In the long-time limit, the system approaches non-equilibrium stationary states, while the mean squared displacement saturates due to the resetting mechanism. We also obtain the fractional telegraph process as a subordinated telegraph process by introducing operational time such that the physical time is considered as a Lévy stable process whose characteristic function is the Lévy st

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Strekalova, Natalya V., and Sergey V. Shcherbakov. "Employees of communications institutions of the Tambov Governorate in the second half of the 19th – early 20th centuries: number, staff, professional mobility." Tambov University Review. Series: Humanities, no. 188 (2020): 164–75. http://dx.doi.org/10.20310/1810-0201-2020-25-188-164-175.

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The role and importance of information and communication infrastructure in the modern world is growing, which increases the relevance of studying the history of the formation and development of postal, telegraph and telephone communications in Russia, primarily regional features of the social component of this process. Based on interdisciplinary approaches, involving a wide range of historical sources, the work explores the problems of the postal, telegraph and telephone service in the Tambov Governorate in the second half of the 19th – early 20th centuries. The issues of the number and staff

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Balmori, Diana. "George B. Post: The Process of Design and the New American Architectural Office (1868-1913)." Journal of the Society of Architectural Historians 46, no. 4 (1987): 342–55. http://dx.doi.org/10.2307/990273.

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This article deals with an American architect, George B. Post, and the organization of his office. Post's practice was one of the earliest to be conducted as an office rather than an atelier. It was also the first large architectural practice based on what came to be considered the prototypical American building, the office tower. The article examines the organization of Post's office, the way work was done, the building types designed, and the nature of its clients. It concentrates on the design process of one particular building, the Western Union Telegraph Building in New York, which was pi

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Chunjuan, ZHU, GUO Ying, LIANG Yiqi, and JIAO Feng. "Dynamic Distribution for Inactive Genes in Telephone Model." Journal of Chinese Statistical Sciences 1, no. 1 (2023): 1–18. http://dx.doi.org/10.48014/fcpm.20221110001.

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Gene transcription is the central part of life process and has been a hot topic in life science research for many years. In this work, we discuss the dynamics of inactive genes in two conditions for telegraph model. We obtain the decaying dynamical distribution for the inactive genes. Furthermore, we find that the dynamical distribution is almost horizontal in the beginning region, if the synthesis rate is appropriately large. And we give some simulations to instruct the results. Keywords: Telegraph model; generating function; inactive gene; distribution.

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Melnyk, Sergei A., and Anna A. Kharkhota. "Differential Representation of a Samuelson Model with a Telegraph Drift." Tatra Mountains Mathematical Publications 69, no. 1 (2017): 45–59. http://dx.doi.org/10.1515/tmmp-2017-0013.

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Abstract In this paper we construct a system of three stochastic differential equations, which has a solution composed of a generalized telegraph signal process and a basic process. This system enabled us to find the escape probability of the basic process from an interval through its endpoint.

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Orsingher, Enzo, and Bruno Bassan. "On a 2n-valued telegraph signal and the related integrated process." Stochastics and Stochastic Reports 38, no. 3 (1992): 159–73. http://dx.doi.org/10.1080/17442509208833753.

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Tilles, Paulo F. C., and Sergei V. Petrovskii. "On the Consistency of the Reaction-Telegraph Process Within Finite Domains." Journal of Statistical Physics 177, no. 4 (2019): 569–87. http://dx.doi.org/10.1007/s10955-019-02379-0.

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