14 citations · 21 across the 14 of their papers we have counts for
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math.PR2003★ 2 cited
Chains with complete connections: General theory, uniqueness, loss of memory and mixing properties
Roberto Fernandez, Gregory Maillard
We introduce an statistical mechanical formalism for the study of discrete-time stochastic processes with which we prove: (i) General properties of extremal chains, including trivi…
math.PR2003★ 4 cited
Chains with complete connections and one-dimensional Gibbs measures
Roberto Fernandez, Gregory Maillard
We discuss the relationship between discrete-time processes (chains) and one-dimensional Gibbs measures. We consider finite-alphabet (finite-spin) systems, possibly with a grammar…