24 citations · 132 across the 47 of their papers we have counts for
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Information and (co-)variances in discrete evolutionary genetics involving solely selection
Thierry Huillet
The purpose of this Note is twofold: First, we introduce the general formalism of evolutionary genetics dynamics involving fitnesses, under both the deterministic and stochastic se…
Duality and Intertwining for discrete Markov kernels: a relation and examples
Thierry Huillet, Servet Martinez
We work out some relations between duality and intertwining in the context of discrete Markov chains, fixing up the background of previous relations first established for birth and…
Random walk versus random line
Joel De Coninck, Francois Dunlop, Thierry Huillet
We consider random walks X_n in Z+, obeying a detailed balance condition, with a weak drift towards the origin when X_n tends to infinity. We reconsider the equivalence in law betw…
Random walks pertaining to a class of deterministic weighted graphs
Thierry Huillet
In this note, we try to analyze and clarify the intriguing interplay between some counting problems related to specific thermalized weighted graphs and random walks consistent with…