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math.PR2014★ 2 cited
Attractor properties of non-reversible dynamics w.r.t invariant Gibbs measures on the lattice
Benedikt Jahnel, Christof Kuelske
We consider stochastic dynamics of lattice systems with finite local state space, possibly at low temperature, and possibly non-reversible. We assume the additional regularity prop…
math.PR2014
A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit
Benedikt Jahnel, Christof Kuelske
We provide an example of a discrete-time Markov process on the three-dimensional infinite integer lattice with Z_q-invariant Bernoulli-increments which has as local state space the…