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  1. 1

    A Probabilistic Approach to Classical Solutions of the Master Equation for Large Population Equilibria by Chassagneux, Jean-François, Crisan, Dan, Delarue, François

    ISBN: 9781470453756, 1470453754
    ISSN: 0065-9266, 1947-6221
    Published: Providence, Rhode Island American Mathematical Society 2022
    “…We analyze a class of nonlinear partial differential equations (PDEs) defined on…”
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  2. 2

    Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation by Hammond, Alan

    ISBN: 9781470452292, 1470452294
    ISSN: 0065-9266, 1947-6221
    Published: Providence, Rhode Island American Mathematical Society 2022
    “…The Airy line ensemble is a positive-integer indexed system of random continuous curves whose finite dimensional distributions are given by the multi-line Airy process…”
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  3. 3

    Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs by Geiss, Stefan, Ylinen, Juha

    ISBN: 9781470449353, 1470449358
    ISSN: 0065-9266, 1947-6221
    Published: Providence, Rhode Island American Mathematical Society 2021
    “… stochastic differential equations (BSDEs). As examples we discuss the Besov regularity (in the sense of our spaces…”
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  4. 4

    Regularity and strict positivity of densities for the nonlinear stochastic heat equations by Chen, Le, Hu, Yaozhong, Nualart, David

    ISBN: 9781470450007, 1470450003
    Published: Providence American Mathematical Society 2021
    “…View the abstract…”
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  5. 5

    Probability on algebraic and geometric structures: international research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois by Budzban, Gregory

    ISBN: 1470419459, 9781470419455
    Published: American Mathematical Society 30.06.2016
    “… A. Mohammed, and Arunava Mukherjea.These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras…”
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  6. 6

    Time-like Graphical Models by Tadi, Tvrtko

    ISBN: 147043685X, 9781470436858
    ISSN: 0065-9266, 1947-6221
    Published: Providence, Rhode Island American Mathematical Society 2019
    “…We study continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as…”
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  7. 7

    SpiSeMe: A multi-language package for spike train surrogate generation by Perinelli, Alessio, Castelluzzo, Michele, Minati, Ludovico, Ricci, Leonardo

    ISSN: 1089-7682, 1089-7682
    Published: 01.07.2020
    Published in Chaos (Woodbury, N.Y.) (01.07.2020)
    “…Many studies in nonlinear science heavily rely on surrogate-based hypothesis testing to provide significance estimations of analysis results…”
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    Journal Article
  8. 8

    One-dimensional empirical measures, order statistics, and Kantorovich transport distances by Bobkov, Sergey, Ledoux, Michel

    ISBN: 1470436507, 9781470436506
    ISSN: 0065-9266, 1947-6221
    Published: Providence, Rhode Island American Mathematical Society 2019
    “…This work is devoted to the study of rates of convergence of the empirical measures…”
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  9. 9

    Randomness of Shapes and Statistical Inference on Shapes via the Smooth Euler Characteristic Transform by Meng, Kun, Wang, Jinyu, Crawford, Lorin, Eloyan, Ani

    ISSN: 0162-1459, 1537-274X, 1537-274X
    Published: Alexandria Taylor & Francis 02.01.2025
    “…In this article, we establish the mathematical foundations for modeling the randomness of shapes and conducting statistical inference on shapes using the…”
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    Journal Article
  10. 10

    explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach by Lindgren, Finn, Rue, Håvard, Lindström, Johan

    ISSN: 1369-7412, 1467-9868, 1467-9868
    Published: Oxford, UK Blackwell Publishing Ltd 01.09.2011
    “…Continuously indexed Gaussian fields (GFs) are the most important ingredient in spatial statistical modelling and geostatistics. The specification through the…”
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    Journal Article
  11. 11

    Stochastic Geometry-Based Analysis of LEO Satellite Communication Systems by Talgat, Anna, Kishk, Mustafa A., Alouini, Mohamed-Slim

    ISSN: 1089-7798, 1558-2558
    Published: New York IEEE 01.08.2021
    Published in IEEE communications letters (01.08.2021)
    “…) are deployed on the ground to act as a relay between the users and the LEO satellites. We use tools from stochastic geometry to derive the coverage probability…”
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  12. 12

    Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions by Albeverio, Sergio, Borasi, Luigi, De Vecchi, Francesco C., Gubinelli, Massimiliano

    ISSN: 0178-8051, 1432-2064
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022
    Published in Probability theory and related fields (01.08.2022)
    “…We introduce a stochastic analysis of Grassmann random variables suitable for the stochastic quantization of Euclidean fermionic quantum field theories…”
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  13. 13

    Asynchronous l2–l∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities by Wu, Zheng-Guang, Shi, Peng, Su, Hongye, Chu, Jian

    ISSN: 0005-1098, 1873-2836
    Published: Kidlington Elsevier Ltd 01.01.2014
    Published in Automatica (Oxford) (01.01.2014)
    “…This paper is concerned with the problem of asynchronous l2–l∞ filtering for discrete-time stochastic Markov jump systems with sensor nonlinearity…”
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    Journal Article
  14. 14

    Algorithm of Classroom Teaching Quality Evaluation Based on Markov Chain by Yuan, Tongqing

    ISSN: 1076-2787, 1099-0526
    Published: Hoboken Hindawi 2021
    Published in Complexity (New York, N.Y.) (2021)
    “…The Markov chain model teaching evaluation method is a quantitative analysis method based on probability theory and stochastic process theory, which establishes a stochastic mathematical model…”
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    Journal Article
  15. 15

    Stochastic Processes and Functional Analysis: New Perspectives by Swift, Randall J, Krinik, Alan, Switkes, Jennifer M

    ISBN: 1470459825, 9781470459826
    ISSN: 0271-4132, 1098-3627
    Published: Providence, Rhode Island American Mathematical Society 17.11.2021
    “…, California.The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes…”
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  16. 16

    Stochastic Geometry Analysis of IRS-Assisted Downlink Cellular Networks by Shafique, Taniya, Tabassum, Hina, Hossain, Ekram

    ISSN: 0090-6778, 1558-0857
    Published: New York IEEE 01.02.2022
    Published in IEEE transactions on communications (01.02.2022)
    “…Using stochastic geometry tools, we develop a comprehensive framework to analyze the downlink performance of various types of users (e.g…”
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    Journal Article
  17. 17

    A priori estimates for integro-differential operators with measurable kernels by Kassmann, Moritz

    ISSN: 0944-2669, 1432-0835
    Published: Berlin/Heidelberg Springer-Verlag 01.01.2009
    “… Therefore, this work is related to probability theory and analysis, especially partial differential equations, at the same time…”
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  18. 18

    Debates—Stochastic subsurface hydrology from theory to practice: Does stochastic subsurface hydrology help solving practical problems of contaminant hydrogeology? by Cirpka, Olaf A., Valocchi, Albert J.

    ISSN: 0043-1397, 1944-7973
    Published: Washington John Wiley & Sons, Inc 01.12.2016
    Published in Water resources research (01.12.2016)
    “…While stochastic subsurface hydrology has been tremendously successful in understanding how the spatial variability of hydraulic conductivity affects conservative solute transport in idealized…”
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  19. 19

    Master equations and the theory of stochastic path integrals by Weber, Markus F, Frey, Erwin

    ISSN: 1361-6633, 1361-6633
    Published: England 01.04.2017
    Published in Reports on progress in physics (01.04.2017)
    “… Despite their simple appearance, analyses of master equations most often rely on low-noise approximations such as the Kramers-Moyal or the system size expansion, or require ad-hoc closure schemes…”
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  20. 20

    Survival probability of stochastic processes beyond persistence exponents by Levernier, N., Dolgushev, M., Bénichou, O., Voituriez, R., Guérin, T.

    ISSN: 2041-1723, 2041-1723
    Published: London Nature Publishing Group UK 05.07.2019
    Published in Nature communications (05.07.2019)
    “…For many stochastic processes, the probability S ( t ) of not-having reached a target in unbounded space up to time t follows a slow algebraic decay at long times, S ( t ) ~ S 0 ∕ t θ…”
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