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The Mabinogion urn is a simple model of the spread of influences amongst versatile populations. It corresponds to a non-standard urn with balls of two colours: each time a ball is drawn, it causes aâ€¦ (More)

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 death chains andâ€¦ (More)

- Thierry Huillet
- 2008

Discrete ancestral problems arising in population genetics are investigated. In the neutral case, the duality concept has proved of particular interest in the understanding of backward in timeâ€¦ (More)

- Thierry Huillet
- 2004

Consider the random Dirichlet partition of the interval into n fragments at temperature Î¸ > 0. Some statistical features of this random discrete distribution are recalled, together with explicitâ€¦ (More)

A Markov chain X with finite state space {0, . . . , N} and tridiagonal transition matrix is considered where transitions from i to i âˆ’ 1 occur with probability i/N(1 âˆ’ p(i/N)) and from i to i+1 withâ€¦ (More)

- Thierry Huillet, Martin MÃ¶hle
- Combinatorics, Probability & Computing
- 2015

Compound Poisson population models are particular conditional branching process models. A formula for the transition probabilities of the backward process for general compound Poisson models isâ€¦ (More)

- Thierry Huillet
- J. Computational Applied Mathematics
- 2016

Random variables with Mittag-Leffler distribution can take values either in the set of non-negative integers or in the positive real line. There can be of two different types, one (type-1)â€¦ (More)

- Thierry Huillet
- 2017

The goal of this manuscript is a comparative study of two WrightFisher-like diffusion processes on the interval, one due to Karlin and the other one due to Kimura. Each model accounts for theâ€¦ (More)

- JoÃ«l De Coninck, FranÃ§ois Dunlop, Thierry Huillet
- Physical review. E
- 2017

For a drop on an incline with small tilt angle Î±, when the contact line is a circle of radius r, we derive the relation mgsinÎ±=Î³rÏ€/2(cosÎ¸^{min}-cosÎ¸^{max}) at first order in Î±, where Î¸^{min} andâ€¦ (More)

We derive some additional results on the BienyamÃ©-Galton-Watson branching process with Î¸âˆ’linear fractional branching mechanism, as studied in [16]. This includes: the explicit expression of the limitâ€¦ (More)