Results 51 to 60 of about 1,345 (165)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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New Journal of PhysicsTopological phases have been a central focus of condensed-matter physics for over 50 years. Along with many experimental applications, they have provided much intellectual interest due to their characterization via some form of topological ordering, as ...
Michael F Faulkner
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Nonparametric Estimation for a Class of Piecewise-Deterministic Markov Processes [PDF]
Journal of Applied Probability, 2013 In this paper we study nonparametric estimation problems for a class of piecewise-deterministic Markov processes (PDMPs). Borovkov and Last (2008) proved a version of Rice's formula for PDMPs, which explains the relation between the stationary density and the level crossing intensity.
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Construction of Lyapunov functions for piecewise-deterministic Markov processes [PDF]
49th IEEE Conference on Decision and Control (CDC), 2010 The purpose of this contribution is twofold: 1) to present for the first time a Lyapunov function that proves exponential ergodicity of a process studied by the authors in [1], where the problem of controlling the probability density of a swarm of robotic agents was solved; 2) to introduce alongside the method used to construct this Lyapunov function ...
Alexandre Rodrigues Mesquita +1 more
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Occasionally Observed Piecewise-Deterministic Markov Processes
Communications on Applied Mathematics and Computation37 pages, 11 figures, submitted to Communications on Applied Mathematics and ...
Marissa Gee, Alexander Vladimirsky
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Average Continuous Control of Piecewise Deterministic Markov Processes [PDF]
SIAM Journal on Control and Optimization, 2006 34 ...
Oswaldo L. V. Costa, François Dufour
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Wasserstein Regression, Forecasting, and Change‐Point Detection for Daily Traffic Flow Distributions
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 3, June 2026.ABSTRACT We develop a distribution‐valued framework for modeling, forecasting, and monitoring traffic flow counts by treating each day as a probability distribution summarized by jittered empirical quantile signatures. Inference is conducted under the 2‐Wasserstein geometry, which in one dimension is isometric to the L2(0,1)$$ {L}^2\left(0,1\right ...
Abdolnasser Sadeghkhani
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Trait coevolution and causal inference using generalized dynamic phylogenetic models
Methods in Ecology and Evolution, Volume 17, Issue 6, Page 1818-1836, June 2026.Abstract Phylogenetic comparative methods are widely used to study trait coevolution across biological and cultural domains. The most common methods are phylogenetic generalized linear (mixed) models, phylogenetic path analysis, Pagel's ‘discrete’ method and Ornstein–Uhlenbeck models. While some frameworks like generalized linear mixed models are quite
Erik J. Ringen +3 more
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Enabling Stochastic Dynamic Games for Robotic Swarms
Advanced Intelligent Systems, Volume 8, Issue 5, May 2026.This paper scales stochastic dynamic games to large swarms of robots through selective agent modeling and variable partial belief space planning. We formulate these games using a belief space variant of iterative Linear Quadratic Gaussian (iLQG). We scale to teams of 50 agents through selective modeling based on the estimated influence of agents ...
Kamran Vakil, Alyssa Pierson
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Minimizing risk probability for infinite discounted piecewise deterministic Markov decision processes [PDF]
summary:The purpose of this paper is to study the risk probability problem for infinite horizon piecewise deterministic Markov decision processes (PDMDPs) with varying discount factors and unbounded transition rates.
Wen, Xian, Huo, Haifeng, Cui, Jinhua
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