35 citations · 124 across the 14 of their papers we have counts for
14 papers
Modelling the age distribution of longevity leaders
Csaba Kiss, László Németh, Bálint Vető
Human longevity leaders with remarkably long lifespan play a crucial role in the advancement of longevity research. In this paper, we propose a stochastic model to describe the evo…
Borodin-Péché fluctuations of the free energy in directed random polymer models
Zsófia Talyigás, Bálint Vető
We consider two directed polymer models in the Kardar-Parisi-Zhang (KPZ) universality class: the O'Connell-Yor semi-discrete directed polymer with boundary sources and the continuu…
Ages of records in random walks
Réka Szabó, Bálint Vető
We consider random walks with continuous and symmetric step distributions. We prove universal asymptotics for the average proportion of the age of the kth longest lasting record fo…
Height fluctuations for the stationary KPZ equation
Alexei Borodin, Ivan Corwin, Patrik L. Ferrari +1
We compute the one-point probability distribution for the stationary KPZ equation (i.e. initial data H(0,X)=B(X), for B(X) a two-sided standard Brownian motion) and show that as ti…
Tracy-Widom asymptotics for q-TASEP
Patrik L. Ferrari, Balint Veto
We consider the q-TASEP that is a q-deformation of the totally asymmetric simple exclusion process (TASEP) on Z for q in [0,1) where the jump rates depend on the gap to the next pa…
Relaxed sector condition
Illes Horvath, Balint Toth, Balint Veto
In this note we present a new sufficient condition which guarantees martingale approximation and central limit theorem a la Kipnis-Varadhan to hold for additive functionals of Mark…
Non-colliding Brownian bridges and the asymmetric tacnode process
Patrik L. Ferrari, Balint Veto
We consider non-colliding Brownian bridges starting from two points and returning to the same position. These positions are chosen such that, in the limit of large number of bridge…
Random Walk in Periodic Environment
Istvan Redl, Balint Veto
We consider a special case of random walk in random environment (RWRE) on Z^d where the environment is periodic (RWPE). Under natural conditions, we show that law of large numbers…
Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in d >= 3
Illes Horvath, Balint Toth, Balint Veto
The problems considered in the present paper have their roots in two different cultures. The 'true' (or myopic) self-avoiding walk model (TSAW) was introduced in the physics litera…
Diffusive limit for the myopic (or "true") self-avoiding random walk in three and more dimension
Illes Horvath, Balint Toth, Balint Veto
The myopic (or `true') self-avoiding walk model (MSAW) was introduced in the physics literature by Amit, Parisi and Peliti (1983). It is a random motion in Z^d pushed towards domai…
Diffusive limit for self-repelling Brownian polymers in three and more dimensions
Illes Horvath, Balint Toth, Balint Veto
The self-repelling Brownian polymer model (SRBP) initiated by Durrett and Rogers in [Durrett-Rogers (1992)] is the continuous space-time counterpart of the myopic (or 'true') self-…
Continuous time `true' self-avoiding random walk on Z
Balint Toth, Balint Veto
We consider the continuous time version of the `true' or `myopic' self-avoiding random walk with site repulsion in 1d. The Ray-Knight-type method which was applied to the discrete…
Self-repelling random walk with directed edges on Z
Balint Toth, Balint Veto
We consider a variant of self-repelling random walk on the integer lattice Z where the self-repellence is defined in terms of the local time on oriented edges. The long-time asympt…
Skorohod-reflection of Brownian Paths and BES^3
Balint Toth, Balint Veto
Let B(t), X(t) and Y(t) be independent standard 1d Borwnian motions. Define X^+(t) and Y^-(t) as the trajectories of the processes X(t) and Y(t) pushed upwards and, respectively, d…