Y. Velenik

activity

20032026

most citedRandom permutations with cycle weights

61 citations · 279 across the 23 of their papers we have counts for

collaborators

23 papers

math-ph2026

Typical geometry of self-repelling polymers in a constant force field

Kamil Khettabi, Yvan Velenik

We study a general class of self-repelling polymers on $Z^{2}$ , including the simple random walk, the self-avoiding walk and the repulsive Domb-Joyce model, in the presence o…

math.PR2025

Random Walk conditioned to stay above a non-flat floor: curvature effects

Sébastien Ott, Yvan Velenik

Let $h : [0, 1] \to R$ be $C^{2}$ and such that $sup_{[0, 1]} h^{''} < 0$ . For a (large) positive integer $n$ , set $h_{n} (k) = nh (k / n)$ for any $k \in {0, \dots, n}$ . We consider a rando…

math.PR2025

Finite-time trajectorial estimates for inhomogeneous random walks

Sébastien Ott, Yvan Velenik

We consider integer-valued random walks with independent but not identically distributed increments, and extend to this context several classical estimates, including a local limit…

math.PR2023★ 1 cited

Fixed-magnetization Ising model with a slowly varying magnetic field

Yacine Aoun, Sébastien Ott, Yvan Velenik

The motivation for this paper is the analysis of the fixed-density Ising lattice gas in the presence of a gravitational field. This is a seen as a particular instance of an Ising m…

math.PR2022★ 5 cited

On the two-point function of the Potts model in the saturation regime

Yacine Aoun, Sébastien Ott, Yvan Velenik

We consider the Random-Cluster model on $Z^{d}$ with interactions of infinite range of the form $J_{x} = ψ (x) e^{- ρ (x)}$ with $ρ$ a norm on $Z^{d}$ and $ψ$ a su…

math-ph2021

Ornstein-Zernike behavior for Ising models with infinite-range interactions

Yacine Aoun, Sébastien Ott, Yvan Velenik

We prove Ornstein-Zernike behavior for the large-distance asymptotics of the two-point function of the Ising model above the critical temperature under essentially optimal assumpti…