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math.PR2025
Uniqueness of stationary compatible probability measures for chains of infinite order with forbidden transitions
Christophe Gallesco, Sandro Gallo, Daniel Yasumasa Takahashi
In this paper, we consider chains of infinite order on countable state spaces with prohibited transitions. We give a set of sufficient conditions on the structure of the probabilit…
math.PR2020
Optimal Gaussian concentration bounds for stochastic chains of unbounded memory
J. -R. Chazottes, S. Gallo, D. Takahashi
We obtain optimal Gaussian concentration bounds (GCBs) for stochastic chains of unbounded memory (SCUMs) on countable alphabets. These stochastic processes are also known as "chain…