Two sequentially Markov coalescent models (SMC and SMC′) are available as tractable
approximations to the ancestral recombination graph (ARG). We present a Markov process …

The Thermodynamic Formalism provides a rigorous mathematical framework for studying
quantitative and qualitative aspects of dynamical systems. At its core, there is a variational …

We propose a generalization of the Wasserstein distance of order 1 to quantum spin
systems on the lattice Z d, which we call specific quantum W 1 distance. The proposal is …

Inferring the coupling structure of complex systems from time series data in general by
means of statistical and information-theoretic techniques is a challenging problem in applied …

Context tree models have been introduced by Rissanen in [25] as a parsimonious
generalization of Markov models. Since then, they have been widely used in applied …

Stochastic chains with memory of variable length constitute an interesting family of
stochastic chains of infinite order on a finite alphabet. The idea is that for each past, only a …

In this article we address two related issues on the learning of probabilistic sequences of
events. First, which features make the sequence of events generated by a stochastic chain …

We consider infinite order chains whose transition probabilities depend on a finite suffix of
the past. These suffixes are of variable length and the set of the lengths of all suffix is …

Coupling and perturbation techniques for categorical time series Page 1 Bernoulli 26(4), 2020,
3249–3279 https://doi.org/10.3150/20-BEJ1225 Coupling and perturbation techniques for …

In this paper we obtain non-uniform exponential upper bounds for the rate of convergence of
a version of the algorithm Context, when the underlying tree is not necessarily bounded. The …