662 citations · 7.3k across the 132 of their papers we have counts for
8 papers · 2 filters
Cusp of non-Gaussian density of particles for a diffusing diffusivity model
M. Hidalgo-Soria, E. Barkai, S. Burov
We study a two state ``jumping diffusivity'' model for a Brownian process alternating between two different diffusion constants, , with random waiting times in both st…
Large deviations of the ballistic Lévy walk model
Wanli Wang, Marc Höll, Eli Barkai
We study the ballistic Lévy walk stemming from an infinite mean traveling time between collision events. Our study focuses on the density of spreading particles all starting from a…
Accurately approximating extreme value statistics
Lior Zarfaty, Eli Barkai, David A. Kessler
We consider the extreme value statistics of independent and identically distributed random variables, which is a classic problem in probability theory. When , fluct…
Extreme value theory for constrained physical systems
Marc Höll, Wanli Wang, Eli Barkai
We investigate extreme value theory for physical systems with a global conservation law which describe renewal processes, mass transport models and long-range interacting spin mode…
Large deviations for continuous time random walks
Wanli Wang, Eli Barkai, Stanislav Burov
Recently observation of random walks in complex environments like the cell and other glassy systems revealed that the spreading of particles, at its tails, follows a spatial expone…
Fractional advection-diffusion-asymmetry equation
Wanli Wang, Eli Barkai
Fractional kinetic equations employ non-integer calculus to model anomalous relaxation and diffusion in many systems. While this approach is well explored, it so far failed to desc…