36 citations · 85 across the 29 of their papers we have counts for
31 papers
Microscopic sorting in a multispecies exclusion process
Balázs Maga, Bálint Tóth
We study a one-dimensional multispecies TASEP model with each particle type having an associated speed parameter and faster particles overtaking slower ones with the rate being the…
Central limit theorem for random walk in degenerate divergence-free random environment: reloaded with relaxed ellipticity
Bálint Tóth
This paper enhances the result of the work [G. Kozma, B. Tóth, Ann. Probab. vol. 45 (2017) 4307-4347] . We prove the central limit theorem (in probability w.r.t. the environment) f…
Diffusion and superdiffusion in lattice models of colliding particles with stored momentum
Edward Crane, Sean Ledger, Balint Toth
We introduce two discrete models of a collection of colliding particles with stored momentum and study the asymptotic growth of the mean-square displacement of an active particle.…
Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment: Suffices
Gady Kozma, Bálint Tóth
We prove a central limit theorem under diffusive scaling for the displacement of a random walk on in stationary and ergodic doubly stochastic random environment, un…
Coexistence of shocks and rarefaction fans: complex phase diagram of a simple hyperbolic particle system
Márton Balázs, Attila László Nagy, Bálint Tóth +1
This paper investigates the non-equilibrium hydrodynamic behavior of a simple totally asymmetric interacting particle system of particles, antiparticles and holes on .…
Invariance principle for the periodic Lorentz gas in the Boltzmann-Grad limit
Jens Marklof, Balint Toth
In earlier work we showed that the particle displacement for the multidimensional periodic Lorentz gas, in the limit of low scatterer density (Boltzmann-Grad limit), satisfies a ce…