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Journal of Statistical Software, 2016 Markov chains are well-established probabilistic models of a wide variety of real systems that evolve along time. Countless examples of applications of Markov chains that successfully capture the probabilistic nature of real problems include areas as ...
Pablo J. Villacorta, José L. Verdegay
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FINITE MARKOV CHAINS IN THE MODEL REPRESENTATION OF THE HUMAN OPERATOR ACTIVITY IN QUASI-FUNCTIONAL ENVIRONMENT [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2016 Subject of Research. We analyze the problems of finite Markov chains apparatus application for simulating a human operator activity in the quasi-static functional environment.
M. V. Serzhantova, A. V. Ushakov
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A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
Infectious Disease Modelling, 2017 Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used
Linda J.S. Allen
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A Markov Chain Model Checker [PDF]
, 2000 Markov chains are widely used in the context of performance and reliability evaluation of systems of various nature. Model checking of such chains with respect to a given (branching) temporal logic formula has been proposed for both the discrete [17,6 ...
Hermanns, Holger +3 more
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Microcanonical conditioning of Markov processes on time-additive observables [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2021 The recent study by De Bruyne et al (2021 J. Stat. Mech. 123204), concerning the conditioning of the Brownian motion and of random walks on global dynamical constraints over a finite time-window T, is reformulated as a general framework for the ...
C. Monthus
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Derivatives of Entropy Rate in Special Families of Hidden Markov Chains [PDF]
, 2006 Consider a hidden Markov chain obtained as the observation process of an ordinary Markov chain corrupted by noise. Zuk, et. al. [13], [14] showed how, in principle, one can explicitly compute the derivatives of the entropy rate of at extreme values of ...
Author(s Han +3 more
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Quantum Markov chains associated with open quantum random walks [PDF]
, 2018 In this paper we construct (nonhomogeneous) quantum Markov chains associated with open quantum random walks. The quantum Markov chain, like the classical Markov chain, is a fundamental tool for the investigation of the basic properties such as ...
Dhahri, Ameur +2 more
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Vlasov scaling for stochastic dynamics of continuous systems [PDF]
, 2010 We describe a general scheme of derivation of the Vlasov-type equations for Markov evolutions of particle systems in continuum. This scheme is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of ...
A. Lenard +34 more
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Bisimulation of Labelled State-to-Function Transition Systems Coalgebraically [PDF]
Logical Methods in Computer Science, 2015 Labeled state-to-function transition systems, FuTS for short, are characterized by transitions which relate states to functions of states over general semirings, equipped with a rich set of higher-order operators.
Diego Latella +2 more
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Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures [PDF]
Journal of Mathematics and Physics, 2019 The box-ball system (BBS) is a simple model of soliton interaction introduced by Takahashi and Satsuma in the 1990s. Recent work of the authors, together with Tsuyoshi Kato and Satoshi Tsujimoto, derived various families of invariant measures for the BBS
D. Croydon, M. Sasada
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