Relevant bibliographies by topics / Geometric theory probability

Contents

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

Academic literature on the topic 'Geometric theory probability'

Author: Grafiati
Published: 28 May 2022
Last updated: 31 July 2025

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Journal articles on the topic "Geometric theory probability"

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Holik, Federico, Cesar Massri, and A. Plastino. "Geometric probability theory and Jaynes’s methodology." International Journal of Geometric Methods in Modern Physics 13, no. 03 (2016): 1650025. http://dx.doi.org/10.1142/s0219887816500250.

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We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In particular, we use this generalization to provide an improvement of the Jaynes’ MaxEnt method. The improvement consists in providing a framework for the introduction of symmetry constraints. This allows us to include group theory within MaxEnt. Some examples are provided.
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Vakhrameev, S. A., and A. V. Sarychev. "Geometric control theory." Journal of Soviet Mathematics 40, no. 3 (1988): 384–447. http://dx.doi.org/10.1007/bf01092893.

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Hykšová, Magdalena, Anna Kalousová, and †Ivan Saxl. "EARLY HISTORY OF GEOMETRIC PROBABILITY AND STEREOLOGY." Image Analysis & Stereology 31, no. 1 (2012): 1. http://dx.doi.org/10.5566/ias.v31.p1-16.

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The paper provides an account of the history of geometric probability and stereology from the time of Newton to the early 20th century. It depicts the development of two parallel ways: on one hand, the theory of geometric probability was formed with minor attention paid to other applications than those concerning spatial chance games. On the other hand, practical rules of the estimation of area or volume fraction and other characteristics, easily deducible from geometric probability theory, were proposed without the knowledge of this branch. A special attention is paid to the paper of J.-É. Ba
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Chen, W. W. L. "Davenport's theorem in geometric discrepancy theory." International Journal of Number Theory 11, no. 05 (2015): 1437–49. http://dx.doi.org/10.1142/s1793042115400047.

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Davenport's theorem was established nearly a lifetime ago, but there have been some very interesting recent developments. The various proofs over the years bring in different ideas from number theory, probability theory, analysis and group theory. In this short survey, we shall not present complete proofs, but will describe instead some of these underlying ideas.
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Tyurin, Yu N. "Multivariate Statistical Analysis: The Geometric Theory." Theory of Probability & Its Applications 55, no. 1 (2011): 91–109. http://dx.doi.org/10.1137/s0040585x97984620.

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Šikić, Hrvoje, Renming Song, and Zoran Vondraček. "Potential Theory of Geometric Stable Processes." Probability Theory and Related Fields 135, no. 4 (2005): 547–75. http://dx.doi.org/10.1007/s00440-005-0470-3.

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Gates, D. J. "Asymptotics of two integrals from optimization theory and geometric probability." Advances in Applied Probability 17, no. 4 (1985): 908–10. http://dx.doi.org/10.2307/1427094.

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Gates, D. J. "Asymptotics of two integrals from optimization theory and geometric probability." Advances in Applied Probability 17, no. 04 (1985): 908–10. http://dx.doi.org/10.1017/s0001867800015470.

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Vakhrameev, S. A. "Morse theory and Lyusternik-Shnirelman theory in geometric control theory." Journal of Mathematical Sciences 71, no. 3 (1994): 2434–85. http://dx.doi.org/10.1007/bf02111558.

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Gbolagade, A. M., and I. T. Awolere. "GENERALIZED DISTRIBUTION FOR BI-UNIVALENT FUNCTIONS DEFINED BY ERROR AND POISSON DISTRIBUTION VIA BELL NUMBER." COAST JOURNAL OF THE SCHOOL OF SCIENCE 6, no. 2 (2024): 1120–28. https://doi.org/10.61281/coastjss.v6i2.12.

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In the field of geometric function theory, generalized distributions have revealed novel insights and applications, particularly in understanding the behaviour of various complex functions. This paper focuses on estimating bounds for bi-univalent functions within probability distribution series defined by error and Poisson distributions, particularly in relation to the Bell numbers. These distributions are utilized to establish coefficient bounds, which hold significance for both the structural properties of bi-univalent functions and their applications in probability theory. By extending thes
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Dissertations / Theses on the topic "Geometric theory probability"

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Ma, Kin-Keung. "Infinite prefix codes for geometric distributions /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?COMP%202004%20MA.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2004.<br>Includes bibliographical references (leaves 74-76). Also available in electronic version. Access restricted to campus users.
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Saive, Yannick. "DirCNN: Rotation Invariant Geometric Deep Learning." Thesis, KTH, Matematisk statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-252573.

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Recently geometric deep learning introduced a new way for machine learning algorithms to tackle point cloud data in its raw form. Pioneers like PointNet and many architectures building on top of its success realize the importance of invariance to initial data transformations. These include shifting, scaling and rotating the point cloud in 3D space. Similarly to our desire for image classifying machine learning models to classify an upside down dog as a dog, we wish geometric deep learning models to succeed on transformed data. As such, many models employ an initial data transform in their mode
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Charmoy, Philippe H. A. "On the geometric and analytic properties of some random fractals." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:a9bbee2c-9958-464a-ac9e-bb8c42e107ea.

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The heat content of a domain D of &Ropf;<sup>d</sup> is defined as</sp> < p >E(s) = &int;<sub>D</sub> u(s,x)dx, where u is the solution to the heat equation with zero initial condition and unit Dirichlet boundary condition. This thesis studies the behaviour of E(s) for small s with a particular emphasis on the case where $D$ is a planar domain whose boundary is a random Koch curve. When &part;D is spatially homogeneous, we show that we can recover the upper and lower Minkowski dimensions of &part;D from E(s). Furthermore, in some cases where the Minkowski dimension does exist, finer fluctuatio
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Ho, Pak-kei. "Parametric and non-parametric inference for Geometric Process." Click to view the E-thesis via HKUTO, 2005. http://sunzi.lib.hku.hk/hkuto/record/B31483859.

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Ho, Pak-kei, and 何柏基. "Parametric and non-parametric inference for Geometric Process." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B31483859.

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Pereira, Carlos André Bogéa. "Alguns tópicos em probabilidade geométrica." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306582.

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Orientador: Simão Nicolau Stelmastchuk<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-17T21:15:56Z (GMT). No. of bitstreams: 1 Pereira_CarlosAndreBogea_M.pdf: 2160729 bytes, checksum: f46cc601d486b802f179e9fd8befb099 (MD5) Previous issue date: 2011<br>Resumo: Ao nosso entender, a Probabilidade Geométrica quantifica a probabilidade de ocorrer alguns fenômenos associados a entes geométricos. O primeiro estudo, talvez o mais famoso, a ser realizado neste sentido é o p
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Spencer, Steven Robert. "Renewal theory for uniform random variables." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2248.

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This project will focus on finding formulas for E[N(t)] using one of the classical problems in the discipline first, and then extending the scope of the problem to include overall times greater than the time t in the original problem. The expected values in these cases will be found using the uniform and exponential distributions of random variables.
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Sisto, Alessandro. "Geometric and probabilistic aspects of groups with hyperbolic features." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:bcf456c4-eef0-4fe8-bb7d-8b15f9cf7b18.

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The main objects of interest in this thesis are relatively hyperbolic groups. We will study some of their geometric properties, and we will be especially concerned with geometric properties of their boundaries, like linear connectedness, avoidability of parabolic points, etc. Exploiting such properties will allow us to construct, under suitable hypotheses, quasi-isometric embeddings of hyperbolic planes into relatively hyperbolic groups and quasi-isometric embeddings of relatively hyperbolic groups into products of trees. Both results have applications to fundamental groups of 3-manifolds. We
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Brodd, Tobias, and Adrian Djerf. "Monte Carlo Simulations of Stock Prices : Modelling the probability of future stock returns." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229752.

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The financial market is a stochastic and complex system that is challenging to model. It is crucial for investors to be able to model the probability of possible outcomes of financial investments and financing decisions in order to produce fruitful and productive investments. This study investigates how Monte Carlo simulations of random walks can be used to model the probability of future stock returns and how the simulations can be improved in order to provide better accuracy. The implemented method uses a mathematical model called Geometric Brownian Motion (GBM) in order to simulate stock pr
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Лук'янихін, О. В. "Статистичне обчислення числа Пі в досліді Бюффона". Thesis, Сумський державний університет, 2015. http://essuir.sumdu.edu.ua/handle/123456789/43351.

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У роботі розглянута класична задача теорії геометричних ймовірностей з експериментального обчислення числа Пі. Видатний французький вчений XVIII ст. Жорж-Луї Леклерк де Бюффон навів її разом із розв'язанням у доповненнях до "Природничої історії" в 1777 році. В рамках дистанційного курсу "Теорія ймовірностей та математична статистика" (http://dl.sumdu.edu.ua) створене інтерактивне практичне завдання для проведення досліду Бюффона.
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Books on the topic "Geometric theory probability"

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V, Buldygin V., and Kharazishvili A. B, eds. Geometric aspects of probability theory and mathematical statistics. Kluwer Academic, 2000.

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Buldygin, V. V., and A. B. Kharazishvili. Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1.

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Kalashnikov, Vladimir Vi͡acheslavovich. Geometric sums, bounds for rare events with applications: Risk analysis, reliability, queueing. Kluwer Academic, 1997.

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Kalashnikov, Vladimir. Geometric Sums: Bounds for Rare Events with Applications: Risk Analysis, Reliability, Queueing. Springer Netherlands, 1997.

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Mathai, A. M. An introduction to geometrical probability: Distributional aspects with applications. Gordon & Breach, 1999.

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Klartag, Bo'az. Geometric Aspects of Functional Analysis: Israel Seminar 2006–2010. Springer Berlin Heidelberg, 2012.

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Ludwig, Monika. Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program. Springer New York, 2013.

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Bolivar, A. O. Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit. Springer Berlin Heidelberg, 2004.

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1945-, Weil Wolfgang, ed. Stochastic and integral geometry. Springer, 2008.

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Balkema, Guus. High Risk Scenarios and Extremes: A geometric approach. European Mathematical Society Publishing House, 2007.

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Book chapters on the topic "Geometric theory probability"

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Tuckwell, Henry C. "Geometric probability." In Elementary Applications of Probability Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-1221-2_2.

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Tuckwell, Henry C. "Geometric probability." In Elementary Applications of Probability Theory. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-3290-7_2.

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Nelson, Randolph. "Matrix Geometric Solutions." In Probability, Stochastic Processes, and Queueing Theory. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4757-2426-4_9.

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Yukich, Joseph E. "Geometric location problems." In Probability Theory of Classical Euclidean Optimization Problems. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0093482.

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Airault, Hélène, and Paul Malliavin. "Functorial Analysis in Geometric Probability Theory." In Stochastic Analysis and Mathematical Physics. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0127-4_1.

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Buldygin, V. V., and A. B. Kharazishvili. "Quasi-invariant probability measures." In Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1_9.

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Buldygin, V. V., and A. B. Kharazishvili. "Probability measures and random elements." In Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1_6.

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Malthe-Sørenssen, Anders. "Subset Geometry." In Percolation Theory Using Python. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-59900-2_8.

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AbstractSo far, we have studied the geometry of the percolation system. Now, we will gradually address the physics of processes that occur in a percolation system. We have addressed one physics-like property of the system, the density of the spanning cluster, and we found that we could build a theory for the density P as a function of the porosity (occupation probability) p of the system. In order to address other physical properties, we need to have a clear description of the geometry of the percolation system close to the percolation threshold. In this chapter, we will develop a simplified g
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Buldygin, V. V., and A. B. Kharazishvili. "Convex sets in vector spaces." In Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1_1.

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Buldygin, V. V., and A. B. Kharazishvili. "Anderson inequality and unimodal distributions." In Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1_10.

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Conference papers on the topic "Geometric theory probability"

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Brenna, Andrea, Luciano Lazzari, and Marco Ormellese. "Probabilistic Model Based on Markov Chain for the Assessment of Localized Corrosion of Stainless Steels." In CORROSION 2014. NACE International, 2014. https://doi.org/10.5006/c2014-4091.

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Abstract Pitting, crevice and stress corrosion cracking are the most damaging corrosion forms of stainless steels in industrial applications. Generally, pitting and crevice susceptibility depends on a variety of factors related to the metal (chemical composition, differences in the metallurgical structure, inclusions), the environment (chloride content, pH, temperature, differential aeration) and the geometry of the system. Due to their unpredictable occurrence, localized corrosion events cannot be explained without using a proper statistical method. In this work a probabilistic approach based
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Langer, Doug, Muntaseer Kainat, and Janine Woo. "Reliability Assessment of Corrosion Features Interacting with Pipeline Dents." In CORROSION 2017. NACE International, 2017. https://doi.org/10.5006/c2017-09778.

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Abstract The existence of corrosion features in energy pipelines can adversely affect the stress/strain state of the pipe body leading to potential integrity concerns. These concerns can be intensified when a corrosion feature is suspected to be interacting with deformations in the pipe geometry. While deterministic models are available for the analysis of corrosion and some types of dent features, there is significant room for research and development in the assessment of interacting features. Additionally, the uncertainties associated with the input variables are often neglected or considere
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Kostecki, Ryszard Paweł. "Information dynamics and new geometric foundations of quantum theory." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 6. AIP, 2012. http://dx.doi.org/10.1063/1.3688971.

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Dhorje, M., S. Ekwaro-Osire, M. P. H. Khandaker, and F. Karpat. "A Weibull Failure Theory for Contact Loading in Gears With Asymmetric Teeth." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67852.

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Meshing gear pairs have regions of high stress gradients due to contact loading. In other applications, high stress gradients can also be generated due to geometric irregularities, material mismatch, or thermal mismatch. In meshing gear pairs, the extent of the region with a high stress gradient depends on the material and the geometric properties. It is common that failure, through crack initiation, will occur in the region of high stress and strain gradients. The conventional Weibull failure theory fails to accurately predict the probability of failure of components with high stress gradient
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Pleśniak, W. "Multivariate polynomial inequalities viapluripotential theory and subanalytic geometry methods." In Approximation and Probability. Institute of Mathematics Polish Academy of Sciences, 2006. http://dx.doi.org/10.4064/bc72-0-16.

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Harnett, Stephen J., Sean Brennan, Karl Reichard, and Jesse Pentzer. "DETERMINING A DIRECTION- AND POSITION-AGNOSTIC OCCUPANCY PROBABILITY AND OCCUPANCY RATIO FROM MAPS OF OBSTACLE FIELDS FOR GROUND VEHICLE NAVIGATION." In 2024 NDIA Michigan Chapter Ground Vehicle Systems Engineering and Technology Symposium. National Defense Industrial Association, 2024. http://dx.doi.org/10.4271/2024-01-4061.

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&lt;title&gt;ABSTRACT&lt;/title&gt; &lt;p&gt;Robot path-planning is a central task for navigation and most path-planners perform well in mapped environments with explicit obstacle boundaries. However, many obstacle fields are better defined by the probability of obstacles and obstacle geometries rather than by explicit locations. Few tools and data structures exist, other than repeated simulations, to predict robot mobility in these situations. Previously, it was shown that geometric obstacle properties could be used to estimate properties of paths routing around these obstacles, looking only
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Li, Guang, and R. P. Nordgren. "Reliability Analysis of the Burst of Elastic/Plastic Tubes." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51277.

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The computational method presented in this paper provides an efficient solution to the reliability problem of burst of pipes with random geometric imperfections. The statistical characterization of the geometric imperfections is based on measured data from seamless pipes. Application of the Model-Correction-Factor Method (MCFM) proves that the burst pressure for a given pipe depends almost entirely on its minimum wall thickness. Thus, the burst reliability problem becomes one of determining the probability distribution of minimum wall thickness from the imperfection statistics. This problem is
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Barukčić, Ilija. "Unification of geometry and probability theory." In 2023 International Conference on Applied Mathematics & Computer Science (ICAMCS). IEEE, 2023. http://dx.doi.org/10.1109/icamcs59110.2023.00011.

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Chen, Shiang-Fong, and Yong-Jin Liu. "A Multi-Level Genetic Assembly Planner." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14246.

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Abstract Assembly sequence planning (ASP) is a combinatorial optimization problem with highly non-linear geometric constraints. Most proposed methodologies are based on graph theory and involve complex geometric and physical analysis. As a result, even for a simple structure, it is difficult or impossible to take all important criteria into consideration. In order to bring assembly sequence planning closer to real-world application, this paper proposes a genetic planner for efficiently finding global-optimal assembly sequences. To optimize our genetic-algorithm-based approach, we propose a hie
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Friedrich, Tobias, Andreas Göbel, Maximilian Katzmann, and Leon Schiller. "Real-World Networks Are Low-Dimensional: Theoretical and Practical Assessment." In Thirty-Third International Joint Conference on Artificial Intelligence {IJCAI-24}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/ijcai.2024/225.

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Recent empirical evidence suggests that real-world networks have very low underlying dimensionality. We provide a theoretical explanation for this phenomenon as well as develop a linear-time algorithm for detecting the underlying dimensionality of such networks. Our theoretical analysis considers geometric inhomogeneous random graphs (GIRGs), a geometric random graph model, which captures a variety of properties observed in real-world networks. These properties include a heterogeneous degree distribution and non-vanishing clustering coefficient, which is the probability that two random neighbo
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Reports on the topic "Geometric theory probability"

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Tarko, Andrew P., Qiming Guo, and Raul Pineda-Mendez. Using Emerging and Extraordinary Data Sources to Improve Traffic Safety. Purdue University, 2021. http://dx.doi.org/10.5703/1288284317283.

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The current safety management program in Indiana uses a method based on aggregate crash data for conditions averaged over several-year periods with consideration of only major roadway features. This approach does not analyze the risk of crashes potentially affected by time-dependent conditions such as traffic control, operations, weather and their interaction with road geometry. With the rapid development of data collection techniques, time-dependent data have emerged, some of which have become available for safety management. This project investigated the feasibility of using emerging and exi
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Schultz, Martin, Leslie Campbell, Ramsay Bell, and Phillip Sauser. A study of phased-array ultrasonic testing (PAUT) for detecting, sizing, and characterizing flaws in the welds of existing hydraulic steel structures (HSS). Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48750.

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Hydraulic steel structures (HSS) are components of navigation, flood control, and hydropower projects that control or regulate the flow of water. Damage accumulates in HSS as they are operated over time, and they must be inspected periodically. This is often accomplished using nondestructive testing (NDT) techniques. If damage is detected, the structure’s fitness for continued service must be evaluated, which requires information on the location and size of discontinuities. This information can be obtained using ultrasonic testing (UT) techniques. However, there is limited information on the r
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Schultz, Martin, Leslie Campbell, Ramsay Bell, and Phillip Sauser. A study of phased-array ultrasonic testing (PAUT) for detecting, sizing, and characterizing flaws in the welds of existing hydraulic steel structures (HSS). Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48735.

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Hydraulic steel structures (HSS) are components of navigation, flood control, and hydropower projects that control or regulate the flow of water. Damage accumulates in HSS as they are operated over time, and they must be inspected periodically. This is often accomplished using nondestructive testing (NDT) techniques. If damage is detected, the structure’s fitness for continued service must be evaluated, which requires information on the location and size of discontinuities. This information can be obtained using ultrasonic testing (UT) techniques. However, there is limited information on the r
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Eiber. L51786 Development of Optimized Nondestructive Inspection Methods for Hot Tap Branch Connection Welds. Pipeline Research Council International, Inc. (PRCI), 1998. http://dx.doi.org/10.55274/r0010388.

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In the first two phases of this project, the accuracy and reliability of both conventional and more advanced nondestructive inspection techniques were evaluated by way of a round-robin program of blind inspections The results indicate that there is much variability in the accuracy and reliability of discontinuity detection and sizing depending on details of the NDT procedures adopted, which includes specification of equipment, techniques, calibration methods, and reporting requirements. In Phase III, optimized procedures for sleeve fillet welds and a limited number of branch groove welds were
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