457 citations · 3.8k across the 61 of their papers we have counts for
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math-ph2014★ 2 cited
Point-interacting Brownian motions in the KPZ universality class
Tomohiro Sasamoto, Herbert Spohn
We discuss chains of interacting Brownian motions. Their time reversal invariance is broken because of asymmetry in the interaction strength between left and right neighbor. In the…
math.PR2014★ 8 cited
A generalized Asymmetric Exclusion Process with stochastic duality
Gioia Carinci, Cristian Giardina', Frank Redig +1
We study a new process, which we call ASEP, where particles move asymmetrically on a one-dimensional integer lattice with a bias determined by and where at most…
math-ph2014★ 47 cited
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
Alexei Borodin, Ivan Corwin, Leonid Petrov +1
We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolotsky. That is, we establish a Plancherel type isomorphism result which implies com…