Relevant bibliographies by topics / Lévy systems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Lévy systems'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Lévy systems"

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Klafter, J., G. Zumofen, and M. F. Shlesinger. "Lévy walks in dynamical systems." Physica A: Statistical Mechanics and its Applications 200, no. 1-4 (1993): 222–30. http://dx.doi.org/10.1016/0378-4371(93)90520-e.

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Volpert, V. A., Y. Nec, and A. A. Nepomnyashchy. "Fronts in anomalous diffusion–reaction systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1982 (2013): 20120179. http://dx.doi.org/10.1098/rsta.2012.0179.

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A review of recent developments in the field of front dynamics in anomalous diffusion–reaction systems is presented. Both fronts between stable phases and those propagating into an unstable phase are considered. A number of models of anomalous diffusion with reaction are discussed, including models with Lévy flights, truncated Lévy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.
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Drysdale, P. M., and P. A. Robinson. "Lévy random walks in finite systems." Physical Review E 58, no. 5 (1998): 5382–94. http://dx.doi.org/10.1103/physreve.58.5382.

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Manwadkar, Viraj, Alessandro A. Trani, and Nathan W. C. Leigh. "Chaos and Lévy flights in the three-body problem." Monthly Notices of the Royal Astronomical Society 497, no. 3 (2020): 3694–712. http://dx.doi.org/10.1093/mnras/staa1722.

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ABSTRACT We study chaos and Lévy flights in the general gravitational three-body problem. We introduce new metrics to characterize the time evolution and final lifetime distributions, namely Scramble Density $\mathcal {S}$ and the Lévy flight (LF) index $\mathcal {L}$, that are derived from the Agekyan–Anosova maps and homology radius $R_{\mathcal {H}}$. Based on these metrics, we develop detailed procedures to isolate the ergodic interactions and Lévy flight interactions. This enables us to study the three-body lifetime distribution in more detail by decomposing it into the individual distrib
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Liu, Meng, and Ke Wang. "Stochastic Lotka–Volterra systems with Lévy noise." Journal of Mathematical Analysis and Applications 410, no. 2 (2014): 750–63. http://dx.doi.org/10.1016/j.jmaa.2013.07.078.

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Qiao, Huijie, and Jinqiao Duan. "Nonlinear filtering of stochastic dynamical systems with Lévy noises." Advances in Applied Probability 47, no. 03 (2015): 902–18. http://dx.doi.org/10.1017/s0001867800048886.

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Nonlinear filtering is investigated in a system where both the signal system and the observation system are under non-Gaussian Lévy fluctuations. Firstly, the Zakai equation is derived, and it is further used to derive the Kushner-Stratonovich equation. Secondly, by a filtered martingale problem, uniqueness for strong solutions of the Kushner-Stratonovich equation and the Zakai equation is proved. Thirdly, under some extra regularity conditions, the Zakai equation for the unnormalized density is also derived in the case of α-stable Lévy noise.
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Qiao, Huijie, and Jinqiao Duan. "Nonlinear filtering of stochastic dynamical systems with Lévy noises." Advances in Applied Probability 47, no. 3 (2015): 902–18. http://dx.doi.org/10.1239/aap/1444308887.

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Nonlinear filtering is investigated in a system where both the signal system and the observation system are under non-Gaussian Lévy fluctuations. Firstly, the Zakai equation is derived, and it is further used to derive the Kushner-Stratonovich equation. Secondly, by a filtered martingale problem, uniqueness for strong solutions of the Kushner-Stratonovich equation and the Zakai equation is proved. Thirdly, under some extra regularity conditions, the Zakai equation for the unnormalized density is also derived in the case of α-stable Lévy noise.
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QIAO, HUIJIE, and JINQIAO DUAN. "TOPOLOGICAL EQUIVALENCE FOR DISCONTINUOUS RANDOM DYNAMICAL SYSTEMS AND APPLICATIONS." Stochastics and Dynamics 14, no. 01 (2013): 1350007. http://dx.doi.org/10.1142/s021949371350007x.

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After defining non-Gaussian Lévy processes for two-sided time, stochastic differential equations with such Lévy processes are considered. Solution paths for these stochastic differential equations have countable jump discontinuities in time. Topological equivalence (or conjugacy) for such an Itô stochastic differential equation and its transformed random differential equation is established. Consequently, a stochastic Hartman–Grobman theorem is proved for the linearization of the Itô stochastic differential equation. Furthermore, for Marcus stochastic differential equations, this topological e
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Sibatov, Renat T., and HongGuang Sun. "Tempered Fractional Equations for Quantum Transport in Mesoscopic One-Dimensional Systems with Fractal Disorder." Fractal and Fractional 3, no. 4 (2019): 47. http://dx.doi.org/10.3390/fractalfract3040047.

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New aspects of electron transport in quantum wires with Lévy-type disorder are described. We study the weak scattering and the incoherent sequential tunneling in one-dimensional quantum systems characterized by a tempered Lévy stable distribution of spacing between scatterers or tunneling barriers. The generalized Dorokhov–Mello–Pereyra–Kumar equation contains the tempered fractional derivative on wire length. The solution describes the evolution from the anomalous conductance distribution to the Dorokhov function for a long wire. For sequential tunneling, average values and relative fluctuati
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Fricke, G. M., J. P. Hecker, J. L. Cannon, and M. E. Moses. "Immune-inspired search strategies for robot swarms." Robotica 34, no. 8 (2016): 1791–810. http://dx.doi.org/10.1017/s0263574716000382.

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SUMMARYDetection of targets distributed randomly in space is a task common to both robotic and biological systems. Lévy search has previously been used to characterize T cell search in the immune system. We use a robot swarm to evaluate the effectiveness of a Lévy search strategy and map the relationship between search parameters and target configurations. We show that the fractal dimension of the Lévy search which optimizes search efficiency depends strongly on the distribution of targets but only weakly on the number of agents involved in search. Lévy search can therefore be tuned to the tar
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Dissertations / Theses on the topic "Lévy systems"

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Högele, Michael, and Ilya Pavlyukevich. "Metastability of Morse-Smale dynamical systems perturbed by heavy-tailed Lévy type noise." Universität Potsdam, 2014. http://opus.kobv.de/ubp/volltexte/2014/7063/.

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We consider a general class of finite dimensional deterministic dynamical systems with finitely many local attractors each of which supports a unique ergodic probability measure, which includes in particular the class of Morse–Smale systems in any finite dimension. The dynamical system is perturbed by a multiplicative non-Gaussian heavytailed Lévy type noise of small intensity ε > 0. Specifically we consider perturbations leading to a Itô, Stratonovich and canonical (Marcus) stochastic differential equation. The respective asymptotic first exit time and location problem from each of the domai
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De, Oliveira Gomes André. "Large Deviations Studies for Small Noise Limits of Dynamical Systems Perturbed by Lévy Processes." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19118.

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Die vorliegende Dissertation beschäftigt sich mit der Anwendung der Theorie der großen Abweichungen auf verschiedene Fragestellungen der stochastischen Analysis und stochastischen Dynamik von Sprungprozessen. Die erste Fragestellung behandelt die erste Austrittszeit aus einem beschränkten Gebiet für eine bestimmte Klasse von Sprungdiffusionen mit exponentiell leichten Sprüngen. In Abhängigkeit von der Leichtheit des Sprungmaßes wird das asymptotische Verhalten der Verteilung und insbesondere der Erwartung der ersten Austrittszeit bestimmt wenn das Rauschen verschwindet. Dabei folgt die
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Gairing, Jan Martin. "Variational and Ergodic Methods for Stochastic Differential Equations Driven by Lévy Processes." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/18984.

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Diese Dissertation untersucht Aspekte des Zusammenspiels von ergodischem Langzeitver- halten und der Glättungseigenschaft dynamischer Systeme, die von stochastischen Differen- tialgleichungen (SDEs) mit Sprüngen erzeugt sind. Im Speziellen werden SDEs getrieben von Lévy-Prozessen und der Marcusschen kanonischen Gleichung untersucht. Ein vari- ationeller Ansatz für den Malliavin-Kalkül liefert eine partielle Integration, sodass eine Variation im Raum in eine Variation im Wahrscheinlichkeitsmaß überführt werden kann. Damit lässt sich die starke Feller-Eigenschaft und die Existenz glatter D
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Högele, Michael [Gutachter], Peter [Gutachter] Imkeller, and Dirk [Gutachter] Becherer. "Large Deviations Studies for Small Noise Limits of Dynamical Systems Perturbed by Lévy Processes / Gutachter: Michael Högele, Peter Imkeller, Dirk Becherer." Berlin : Humboldt-Universität zu Berlin, 2018. http://d-nb.info/1182541208/34.

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Bautista, Ruiz Esteban. "Laplacian Powers for Graph-Based Semi-Supervised Learning." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSEN081.

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Les techniques d’apprentissage semi-supervisé basées sur des graphes (G-SSL) permettent d’exploiter des données étiquetées et non étiquetées pour construire de meilleurs classifiers. Malgré de nombreuses réussites, leur performances peuvent encore être améliorées, en particulier dans des situations ou` les graphes ont une faible séparabilité de classes ou quand le nombres de sujets supervisés par l’expert est déséquilibrés. Pour aborder ces limitations on introduit une nouvelle méthode pour G-SSL, appel´ee Lγ -PageRank, qui constitue la principal contribution de cette th`ese. Il s’agit d’une g
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Roux, Raphaël. "Étude probabiliste de systèmes de particules en interaction : applications à la simulation moléculaire." Phd thesis, Université Paris-Est, 2010. http://tel.archives-ouvertes.fr/tel-00597479.

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Ce travail présente quelques résultats sur les systèmes de particules en interaction pour l'interprétation probabiliste des équations aux dérivées partielles, avec des applications à des questions de dynamique moléculaire et de chimie quantique. On présente notamment une méthode particulaire permettant d'analyser le processus de la force biaisante adaptative, utilisé en dynamique moléculaire pour le calcul de différences d'énergies libres. On étudie également la sensibilité de dynamiques stochastiques par rapport à un paramètre, en vue du calcul des forces dans l'approximation de Born-Oppenhei
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Burghoff, Toralf [Verfasser], Ilya [Akademischer Betreuer] Pavlyukevich, Peter [Akademischer Betreuer] Imkeller, and Erika [Akademischer Betreuer] Hausenblas. "Spectral properties of a discrete lévy-driven metastable system / Toralf Burghoff. Gutachter: Ilya Pavlyukevich ; Peter Imkeller ; Erika Hausenblas." Jena : Thüringer Universitäts- und Landesbibliothek Jena, 2015. http://d-nb.info/1067098747/34.

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Santos, Edson Bastos e. "Ensaios em finanças quantitativas: apreçamento de derivativos multidimensionais via processos de Lévy, e topologia e propagação do risco sistêmico." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-10052010-151041/.

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Este estudo contempla dois ensaios em finanças quantitativas, relacionados, respectivamente, a modelos de apreçamento e risco sistêmico. No Capitulo 1, e apresentado uma alternativa para modelar opções multidimensionais, cujas estruturas de ganhos e perdas dependam das trajetórias dos processos dos preços dos ativos objetos. A modelagem sugerida considera os processos de Levy, uma classe de processos estocásticos bastante ampla, que permite a existência de saltos (descontinuidades) no processo dos preços dos ativos financeiros, e tem como caso particular o movimento Browniano. Para escrever a
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Moypemna, sembona Cyrille clovis. "Caractérisations des modèles multivariés de stables-Tweedie multiples." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2071/document.

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Ce travail de thèse porte sur différentes caractérisations des modèles multivariés de stables-Tweedie multiples dans le cadre des familles exponentielles naturelles sous la propriété de "steepness". Ces modèles parus en 2014 dans la littérature ont été d’abord introduits et décrits sous une forme restreinte des stables-Tweedie normaux avant les extensions aux cas multiples. Ils sont composés d’un mélange d’une loi unidimensionnelle stable-Tweedie de variable réelle positive fixée, et des lois stables-Tweedie de variables réelles indépendantes conditionnées par la première fixée, de même varian
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Ben, Salah Zied. "Some Applications of Markov Additive Processes as Models in Insurance and Financial Mathematics." Thèse, 2012. http://hdl.handle.net/1866/9066.

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Cette thèse est principalement constituée de trois articles traitant des processus markoviens additifs, des processus de Lévy et d'applications en finance et en assurance. Le premier chapitre est une introduction aux processus markoviens additifs (PMA), et une présentation du problème de ruine et de notions fondamentales des mathématiques financières. Le deuxième chapitre est essentiellement l'article "Lévy Systems and the Time Value of Ruin for Markov Additive Processes" écrit en collaboration avec Manuel Morales
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Books on the topic "Lévy systems"

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Stochastic processes for physicists: Understanding noisy systems. Cambridge University Press, 2010.

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Tremlett, Paul-François. (Post)structuralism. Edited by Michael Stausberg and Steven Engler. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198729570.013.16.

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This chapter suggests that structuralism and poststructuralism should be understood as part of a ‘turn’ in social theory and philosophy to ‘systems.’ It explores Claude Lévi-Strauss’s approach to myth, demonstrating that his approach entwines elements from linguistics and dynamic systems theory that point ‘back’ to formalism and ‘forward’ to poststructuralism. It then examines Lévi-Strauss’s critique of evolutionist and functionalist accounts of ‘primitive’ religion and his engagements with work by Frazer and Malinowski. The chapter shows the extent to which Lévi-Strauss’s approach undermined
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Jahanbegloo, Ramin, and Dipankar Gupta. Talking Sociology. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199489374.001.0001.

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A well-known name in contemporary sociology, Dipankar Gupta’s wide range of scholarship and popular columns have justly earned him the reputation of being one of India’s leading public intellectuals. Talking Sociology provides a complete panorama of Gupta’s life and works and his contribution to Indian sociology. In this book of conversations, he shares insights into the key areas of Indian sociology, such as the problem of social stratification, citizenship and democracy, and the caste system and ethnic groups in India. In his view, once we understand the discrete nature of caste identity we
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Cruickshank, Ruth. Leftovers. Liverpool University Press, 2020. http://dx.doi.org/10.3828/liverpool/9781789620672.001.0001.

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Eating and drinking are essential to survival. Yet for human animals, they are ambivalent, proliferating with ideological, historical and psychological leftovers. This study reveals and mobilizes the provisional meanings, repressed experiences and unacknowledged tensions bound up with representations of food, drink and their consumption. It creates a flexible critical framework by bringing together an unexploited convergence of post-war French thinkers who use – or whose thought is legible through – figures of eating and drinking, including Barthes, Bataille, Beauvoir, Bourdieu, Certeau, Cixou
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Book chapters on the topic "Lévy systems"

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Fitzsimmons, P. J., and R. K. Getoor. "Lévy Systems and Time Changes." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01763-6_9.

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Chechkin, Aleksei V., Vsevolod Y. Gonchar, Joseph Klafter, and Ralf Metzler. "Fundamentals of Lévy Flight Processes." In Fractals, Diffusion, and Relaxation in Disordered Complex Systems. John Wiley & Sons, Inc., 2006. http://dx.doi.org/10.1002/0470037148.ch9.

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Yang, Xin-She. "Firefly Algorithm, Lévy Flights and Global Optimization." In Research and Development in Intelligent Systems XXVI. Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-983-1_15.

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Grigoriu, Mircea, and Gennady Samorodnitsky. "Dynamic Systems Driven by Poisson/Lévy White Noise." In Solid Mechanics and Its Applications. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0179-3_28.

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Sumpunsri, Somchai, Chaiyo Thammarat, and Deacha Puangdownreong. "Multiobjective Lévy-Flight Firefly Algorithm for Multiobjective Optimization." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-68154-8_15.

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Tabar, M. Reza Rahimi. "Lévy Noise-Driven Langevin Equation and Its Time Series–Based Reconstruction." In Understanding Complex Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18472-8_10.

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Sugihara, Kouichirou, and Naohiro Hayashibara. "Collecting Data in Sensor Networks Using Homesick Lévy Walk." In Advances in Network-Based Information Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65521-5_70.

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Engel, Janina, Matthias Scherer, and Leonhard Spiegelberg. "One-Factor Lévy-Frailty Copulas with Inhomogeneous Trigger Rates." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42972-4_26.

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Garrido-Atienza, María J., Kening Lu, and Björn Schmalfuß. "Lévy–Areas of Ornstein–Uhlenbeck Processes in Hilbert–Spaces." In Studies in Systems, Decision and Control. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19075-4_10.

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Zhou, Wuneng, Jun Yang, Liuwei Zhou, and Dongbing Tong. "Stability and Synchronization of Neural Networks with Lévy Noise." In Studies in Systems, Decision and Control. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-47833-2_6.

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Conference papers on the topic "Lévy systems"

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Godsill, Simon, Marina Riabiz, and Ioannis Kontoyiannis. "The Lévy State Space Model." In 2019 53rd Asilomar Conference on Signals, Systems, and Computers. IEEE, 2019. http://dx.doi.org/10.1109/ieeeconf44664.2019.9048715.

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Ramakrishnan, Subramanian, Collin Lambrecht, and Connor Edlund. "Stochastic Dynamics of a Piezoelectric Energy Harvester Subjected to Lévy Flight Excitations." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5404.

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Vibration energy harvesting seeks to exploit the energy of ambient random vibration for power generation, particularly in small scale devices. Piezoelectric transduction is often used as a conversion mechanism in harvesting and the random excitation is typically modeled as a Brownian stochastic process. However, non-Brownian excitations are of potential interest, particularly in the nonequilibrium regime of harvester dynamics. In this work, we investigate the averaged power output of a generic piezoelectric harvester driven by Brownian as well as (non-Brownian) Lévy stable excitations both in
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SKEIDE, MICHAEL. "LÉVY PROCESSES AND TENSOR PRODUCT SYSTEMS OF HILBERT MODULES." In From Foundations to Applications. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702104_0032.

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Zedadra, Ouarda, Meysa Idiri, Nicolas Jouandeau, Hamid Seridi, and Giancarlo Fortino. "Lévy walk-based search strategy: Application to destructive foraging." In 2018 International Symposium on Programming and Systems (ISPS). IEEE, 2018. http://dx.doi.org/10.1109/isps.2018.8379010.

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Deshpande, Aditya, Manish Kumar, and Subramanian Ramakrishnan. "Robot Swarm for Efficient Area Coverage Inspired by Ant Foraging: The Case of Adaptive Switching Between Brownian Motion and Lévy Flight." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5229.

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Design of robot swarms inspired by self-organization in social insect groups is currently an active research area with a diverse portfolio of potential applications. In this work, the authors propose a control law for efficient area coverage by a robot swarm in a 2D spatial domain, inspired by the unique dynamical characteristics of ant foraging. The novel idea pursued in the effort is that dynamic, adaptive switching between Brownian motion and Lévy flight in the stochastic component of the search increases the efficiency of the search. Influence of different pheromone (the virtual chemotacti
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Ramakrishnan, Subramanian, and Connor Edlund. "Stochastic Stability of a Piezoelectric Vibration Energy Harvester and Stabilization Using Noise." In ASME 2018 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/dscc2018-9216.

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Vibration energy harvesters convert the energy of ambient, random vibration into electrical power often using piezoelectric transduction. The stochastic dynamics of a piezoelectric harvester with parameteric uncertainties is yet to be fully explored in the nonequilibrium regime. Motivated by mathematical results that establish the counterintuitive phenomenon of stabilization of response in certain nonlinear systems using noise, we investigate the stochastic stability of a generic harvester in the linear and the monostable nonlinear regimes excited by multiplicative noise characterized by both
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Manfay, Mate, and Laszlo Gerencser. "Identification of finite dimensional linear stochastic systems driven by Lévy processes." In 2013 European Control Conference (ECC). IEEE, 2013. http://dx.doi.org/10.23919/ecc.2013.6669468.

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Safar, Jamie L., Chad A. Bollmann, Murali Tummala, and John C. McEachen. "A Novel Lévy-Impulse Mixture Based Connection Model for Computer Network Traffic." In 2020 14th International Conference on Signal Processing and Communication Systems (ICSPCS). IEEE, 2020. http://dx.doi.org/10.1109/icspcs50536.2020.9310015.

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Dey, Sukanta, Satyabrata Dash, Sukumar Nandi, and Gaurav Trivedi. "Markov Chain Model Using Lévy Flight for VLSI Power Grid Analysis." In 2017 30th International Conference on VLSI Design and 2017 16th International Conference on Embedded Systems (VLSID). IEEE, 2017. http://dx.doi.org/10.1109/vlsid.2017.8.

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"Is Human Visual Activity in Simple Human-Computer Interaction Search Tasks a Lévy Flight?" In 2nd International Conference on Physiological Computing Systems. SCITEPRESS - Science and and Technology Publications, 2015. http://dx.doi.org/10.5220/0005329500670071.

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