24 citations · 132 across the 47 of their papers we have counts for
50 papers
Level numbers preserving transformations on excursionsdefined by random walks with state dependent jump laws
Thierry Huillet, Servet Martinez
We study the number of individuals per level defined by excursions of random walks with state dependent jump law. These level numbersdetermine the probability of the excursion, and…
On the balance between Emigration and Immigration as Random Walks on the non-negative integers
Thierry Huillet
Life is on the razor's edge as resulting from competitive birth and death random forces. We illustrate this aphorism in the context of three Markov chain population models where sy…
Sterile versus prolific individuals pertaining to linear-fractional Bienaym{é}-Galton-Watson trees
Thierry Huillet, Servet Martinez
In a Bienaymé-Galton-Watson process for which there is a positiveprobability for individuals of having no offspring, there is a subtlebalance and dependence between the sterile nod…
How heterogeneous wettability enhances boiling
J. C. Fernandez Toledano, J. De Coninck, F. Dunlop +1
For super-heated water on a substrate with hydrophobic patches immersed in a hydrophilic matrix, one can choose the temperature so that micro-bubbles will form, grow and merge on t…
A Gibbsian random tree with nearest neighbour interaction
Pierre Collet, François Dunlop, Thierry Huillet +1
We revisit the random tree model with nearest-neighbour interaction as described in previous work, enhancing growth. When the underlying free Bienaymé-Galton-Watson (BGW) model is…
On Bernoulli trials with unequal harmonic success probabilities
Thierry Huillet, Martin Möhle
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the number of successes over some t…