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pro vyhledávání: '"Kagan, Alexis"'
Autor:
Kagan, Alexis
We consider the range $R^{(n)}$, the tree made up of visited vertices by a diffusive null-recurrent randomly biased walk $\mathbb{X}$ on a Galton-Watson tree $\mathbb{T}$ up to the $n$-th return time to its root and we consider the following genealog
Externí odkaz:
http://arxiv.org/abs/2410.08402
Autor:
Kagan, Alexis, Véchambre, Grégoire
We define a family of continuous-time branching particle systems on the non-negative real line called branching subordinators and closely related to branching L\'evy processes introduced by Bertoin and Mallein arXiv:1703.08078. We pay a particular at
Externí odkaz:
http://arxiv.org/abs/2409.16617
Autor:
Kagan, Alexis
We consider a null-recurrent randomly biased walk $\mathbb{X}$ on a Galton-Watson tree in the (sub)-diffusive regime and we prove that properly renormalized, the local time in a critical generation converges in law towards some function of a stable c
Externí odkaz:
http://arxiv.org/abs/2408.16955
Autor:
Kagan, Alexis
We consider a null recurrent random walk $\mathbb{X}$ on a super-critical Galton Watson marked tree $\mathbb{T}$ in the (sub-)diffusive regime. We are interested in the asymptotic behaviour of the local time of its root at $n$, which is the total amo
Externí odkaz:
http://arxiv.org/abs/2310.07278
Autor:
Kagan, Alexis
We investigate the range $\mathcal{R}_T$ of the diffusive biased walk $\mathbb{X}$ on a Galton-Watson tree $\mathbb{T}$ in random environment, that is to say the sub-tree of $\mathbb{T}$ of all distinct vertices visited by this walk up to the time $T
Externí odkaz:
http://arxiv.org/abs/2301.06509
Autor:
Andreoletti, Pierre, Kagan, Alexis
Publikováno v:
Ann. Inst. H. Poincar\'e Probab. Statist. 60(2): 1458-1509 (May 2024)
In this work, we are interested in the set of visited vertices of a tree $\mathbb{T}$ by a randomly biased random walk $\mathbb{X}:=(X_n,n \in \mathbb{N})$. The aim is to study a generalized range, that is to say the volume of the trace of $\mathbb{X
Externí odkaz:
http://arxiv.org/abs/2111.05029
Akademický článek
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Autor:
Cecilione, Jennifer L., Rappaport, Lance M., Hahn, Shannon E., Anderson, Audrey E., Hazlett, Laura E., Burchett, Jason R., Moore, Ashlee A., Savage, Jeanne E., Hettema, John M., Roberson-Nay, Roxann
Publikováno v:
Twin Research & Human Genetics; Feb2018, Vol. 21 Issue 1, p12-23, 12p, 7 Charts
