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math.PR2025
Gaussian concentration bounds for probabilistic cellular automata
Jean-René Chazottes, Frank Redig, Edgardo Ugalde
We study lattice spin systems and analyze the evolution of Gaussian concentration bounds (GCB) under the action of probabilistic cellular automata (PCA), which serve as discrete-ti…
math.DS2025
Freezing Phase Transitions for Lattice Systems and Higher-Dimensional Subshifts
J. -R. Chazottes, T. Kucherenko, A. Quas
Let , where and is a finite set, equipped with the action of the shift map. For a given continuous potential $ϕ: \mathcal{A…
math.ST2025
Pathwise guessing in categorical time series with unbounded alphabets
J. -R. Chazottes, S. Gallo, D. Takahashi
The following learning problem arises naturally in various applications: Given a finite sample from a categorical or count time series, can we learn a function of the sample that (…