4 papers
Universal Fluctuations in the Tail Probability for d=2 Random Walks in Space-Time Random Environments
Franscesca Ark, Jacob B. Hass, Eric I. Corwin
Many diffusive systems involve correlated random walkers due to a shared environment. Such systems can be modeled as random walks in random environments (RWRE). These models differ…
Super-Universal Behavior of Outliers Diffusing in a Space-Time Random Environment
Jacob Hass
I characterize the extreme location and extreme first passage time of a system of particles independently diffusing in a space-time random environment. I show these extreme sta…
Universal KPZ Fluctuations for Moderate Deviations of Random Walks in Random Environments
Jacob Hass, Hindy Drillick, Ivan Corwin +1
The theory of diffusion seeks to describe the motion of particles in a chaotic environment. Classical theory models individual particles as independent random walkers, effectively…
Extreme Diffusion Measures Statistical Fluctuations of the Environment
Jacob Hass, Hindy Drillick, Ivan Corwin +1
We consider many-particle diffusion in one spatial dimension modeled as Random Walks in a Random Environment (RWRE). A shared short-range space-time random environment determines t…