Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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In a mean-field driven lattice gas with obstacle, a nonequilibrium transition creates local invariants that shield the obstacle complex from external drive fluctuations and localize noise-induced fluctuations near the phase domain wall.
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Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
In a mean-field driven lattice gas with obstacle, a nonequilibrium transition creates local invariants that shield the obstacle complex from external drive fluctuations and localize noise-induced fluctuations near the phase domain wall.
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