20.500.12556/RUL-181278 Reversible imprecise Markov chains Reversible Markov chains play a central role in stochastic modelling and in algorithms such as Markov chain Monte Carlo (MCMC). Motivated by the fundamental importance of reversibility in classical settings, this paper develops a theoretical framework for reversible imprecise Markov chains. We focus on their structural properties and their representation through joint distribution matrices. Adopting the complete independence interpretation, we reverse every precise chain compatible with a given imprecise Markov chain specification. Since the reversed ensemble generally cannot be encoded by the usual forward model defined by an imprecise initial distribution and a set of transition matrices, we introduce a symmetric representation based on credal sets of two-step joint distribution (or edge measure) matrices. This strictly more expressive framework naturally admits the reversal operation and reduces reversibility to simple matrix symmetry. Moreover, forward and reverse dynamics can be described simultaneously within a single closed convex set, providing a unified structural basis for the analysis of expectations of path-dependent functionals. We illustrate the theory with random walks on graphs and discuss computational approaches for evaluating lower and upper expectations of such functionals. reversible Markov chains imprecise probabilities joint distributions ergodicity time reversal verjetnosti Markovski procesi true false true Angleški jezik Slovenski jezik Članek v reviji 2026-03-30 11:47:30 2026-03-30 11:47:35 2026-03-31 04:47:06 0000-00-00 00:00:00 2026 0 0 18 str. Vol. 194 Jul. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.217 0888-613X 10.1016/j.ijar.2026.109672 273539331 Skulj_IJAR.pdf Skulj_IJAR.pdf 1 99885ECFB7342F60DEB28976DB1A09D0 3c63511bda82dd5aa11344c67039186e40b6e577de5dd1f657cd7e0329b3295a af0e236d-2c1d-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=231569 https://www.sciencedirect.com/science/article/pii/S0888613X26000484 0 be2b32de-2c1d-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=231570 Fakulteta za družbene vede 0 0 0