180 citations · 324 across the 17 of their papers we have counts for
17 papers
On a random entanglement problem
Gage Bonner, Jean-Luc Thiffeault, Benedek Valko
We study a model for the entanglement of a two-dimensional reflecting Brownian motion in a bounded region divided into two halves by a wall with three or more small windows. We map…
The Sine operator
Benedek Valkó, Bálint Virág
We show that Sine, the bulk limit of the Gaussian -ensembles is the spectrum of a self-adjoint random differential operator \[ f\to 2 {R_t^{-1}} \left[ \begin{array}{cc} 0 &…
Matrix Dufresne Identity
Brian Rider, Benedek Valko
We prove a version of the classical Dufresne identity for matrix processes. In particular, we show that the inverse Wishart laws on the space of positive definite r x r matrices ca…
Diffusivity of lattice gases
Jeremy Quastel, Benedek Valkó
We consider one component lattice gases with a local dynamics and a stationary product Bernoulli measure. We give upper and lower bounds on the diffusivity at an equilibrium point…
The scaling limit of the critical one-dimensional random Schrodinger operator
Evgenij Kritchevski, Benedek Valko, Balint Virag
We consider two models of one-dimensional discrete random Schrodinger operators (H_n ψ)_l =ψ_{l-1}+ψ_{l +1}+v_l ψ_l, ψ_0=ψ_{n+1}=0 in the cases v_k=σω_k/\sqrt{n} and v_k=σω_k/ \sqr…
Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2
Balint Toth, Benedek Valko
We consider two models of random diffusion in random environment in two dimensions. The first example is the self-repelling Brownian polymer, this describes a diffusion pushed by t…