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Let G be a finite group. Let $H, K$ be subgroups of G and $H \backslash G / K$ the double coset space. If Q is a probability on G which is constant on conjugacy classes ( $Q(s^{-1} t s) = Q(t)$ ), then the random walk driven by Q on G ...
Persi Diaconis+2 more
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Fast reactions with non-interacting species in stochastic reaction networks
We consider stochastic reaction networks modeled by continuous-time Markov chains. Such reaction networks often contain many reactions, potentially occurring at different time scales, and have unknown parameters (kinetic rates, total amounts). This makes
Linard Hoessly , Carsten Wiuf
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Mixing Times of Markov Chains on Degree Constrained Orientations of Planar Graphs [PDF]
We study Markov chains for $\alpha$-orientations of plane graphs, these are orientations where the outdegree of each vertex is prescribed by the value of a given function $\alpha$.
Stefan Felsner, Daniel Heldt
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On the Structure of Quantum Markov Chains on Cayley Trees Associated with Open Quantum Random Walks
Quantum Markov chains (QMCs) and open quantum random walks (OQRWs) represent different quantum extensions of the classical Markov chain framework. QMCs stand as a more profound layer within the realm of Markovian dynamics.
Abdessatar Souissi+3 more
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Probabilistic analysis and simulation of crack propagation in concrete pavements and surfaces
The surface of concrete pavement is susceptible to cracking. The propagation of a crack in a concrete structure may take the form of a one-dimensional line crack, a two-dimensional surface crack, or a three-dimensional volume crack.
Moussa Leblouba+2 more
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We consider the computing issues of the steady probabilities for block-structured discrete-time Markov chains that are of upper-Hessenberg or lower-Hessenberg transition kernels with a continuous phase set.
Shuxia Jiang, Nian Liu, Yuanyuan Liu
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Open Markov Chains: Cumulant Dynamics, Fluctuations and Correlations
In this work we propose a model for open Markov chains that can be interpreted as a system of non-interacting particles evolving according to the rules of a Markov chain.
Raúl Salgado-García
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Coalgebraic Quantum Computation [PDF]
Coalgebras generalize various kinds of dynamical systems occuring in mathematics and computer science. Examples of systems that can be modeled as coalgebras include automata and Markov chains.
Frank Roumen
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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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Bisimulation of Labelled State-to-Function Transition Systems Coalgebraically [PDF]
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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