29 citations · 86 across the 19 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.PR2022
Scaling limit of the TASEP speed process
Ofer Busani, Timo Seppäläinen, Evan Sorensen
We show that the multi-type stationary distribution of the totally asymmetric simple exclusion process (TASEP) scales to a nontrivial limit around the Bernoulli measure of density…
math.PR2022★ 6 cited
On the exponent governing the correlation decay of the Airy process
Riddhipratim Basu, Ofer Busani, Patrik L. Ferrari
We study the decay of the covariance of the Airy process, , a stationary stochastic process on that arises as a universal scaling limit in the Karda…
math.PR2022★ 13 cited
The stationary horizon and semi-infinite geodesics in the directed landscape
Ofer Busani, Timo Seppäläinen, Evan Sorensen
The stationary horizon (SH) is a stochastic process of coupled Brownian motions indexed by their real-valued drifts. It was first introduced by the first author as the diffusive sc…