Y. Velenik

collaborators

3 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

SÃ©bastien 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

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…