94 citations · 180 across the 11 of their papers we have counts for
12 papers
Markov and almost Markov properties in one, two or more directions
Aernout van Enter, Arnaud Le Ny, Frédéric Paccaut
In this review-type paper written at the occasion of the Oberwolfach workshop {\em One-sided vs. Two-sided stochastic processes} (february 22-29, 2020), we discuss and compare Mark…
Variable Length Memory Chains: characterization of stationary probability measures
Peggy Cénac, Brigitte Chauvin, Camille Noûs +2
Variable Length Memory Chains (VLMC), which are generalizations of finite order Markov chains, turn out to be an essential tool to modelize random sequences in many domains, as wel…
Comparison principles and applications to mathematical modelling of vegetal meta-communities
Gauthier Delvoye, Olivier Goubet, Frédéric Paccaut
This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches…
Variable Length Markov Chains, Persistent Random Walks: a close encounter
P. Cénac, B. Chauvin, F. Paccaut +1
This is the story of the encounter between two worlds: the world of random walks and the world of Variable Length Markov Chains (VLMC). The meeting point turns around the semi-Mark…
Non-regular g-measures and variable length memory chains
Ricardo F. Ferreira, Sandro Gallo, Frédéric Paccaut
It is well-known that there always exists at least one stationary measure compatible with a continuous g-function g. Here we prove that if the set of discontinuities of the g-funct…
Characterization of stationary probability measures for Variable Length Markov Chains
Peggy Cénac, Brigitte Chauvin, Frédéric Paccaut +1
By introducing a key combinatorial structure for words produced by a Variable Length Markov Chain (VLMC), the longest internal suffix, precise characterizations of existence and un…
On non-regular g-measures
Sandro Gallo, Frédéric Paccaut
We prove that g-functions whose set of discontinuity points has strictly negative topological pressure and which satisfy an assumption that is weaker than non-nullness, have at lea…
Minimal polynomial dynamics on the set of 3-adic integers
Fabien Durand, Frédéric Paccaut
In this paper are characterized the polynomials, in terms of their coefficients, that have all their orbits dense in the set of 3-adic integers.
Uncommon Suffix Tries
Peggy Cénac, Brigitte Chauvin, Frédéric Paccaut +1
Common assumptions on the source producing the words inserted in a suffix trie with leaves lead to a height and saturation level. We provide an example of a suffix tri…
Variable length Markov chains and dynamical sources
Peggy Cénac, Brigitte Chauvin, Frédéric Paccaut +1
Infinite random sequences of letters can be viewed as stochastic chains or as strings produced by a source, in the sense of information theory. The relationship between Variable Le…
Random series of functions and applications
Frédéric Paccaut, Dominique Schneider
We study the continuity properties of trajectories for some random series of functions where is a complex sequence, a sequence of real independ…
The Lorenz attractor is mixing
Stefano Luzzatto, Ian Melbourne, Frederic Paccaut
We study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows…