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Integrable fluctuations in the KPZ universality class
Daniel Remenik
The KPZ fixed point is a scaling invariant Markov process which arises as the universal scaling limit of a broad class of models of random interface growth in one dimension, the on…
Solution of the Kolmogorov equation for TASEP
Mihai Nica, Jeremy Quastel, Daniel Remenik
We provide a direct and elementary proof that the formula obtained in [MQR17] for the TASEP transition probabilities for general (one-sided) initial data solves the Kolmogorov back…
The contact process with dynamic edges on
Amitai Linker, Daniel Remenik
We study the contact process running in the one-dimensional lattice undergoing dynamical percolation, where edges open at rate and close at rate . Our goal is to explo…
Chaos in a spatial epidemic model
Rick Durrett, Daniel Remenik
We investigate an interacting particle system inspired by the gypsy moth, whose populations grow until they become sufficiently dense so that an epidemic reduces them to a low leve…