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20092023
most citedProbability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions

654 citations · 2.4k across the 65 of their papers we have counts for

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math.PR2023

Francis Comets' Gumbel last passage percolation

Ivan Corwin

In 2015, Francis Comets shared with me a clever way to relate a model of directed last passage percolation with i.i.d. Gumbel edge weights to a special case of the log-gamma direct…

math.PR2023

Stationary measures for integrable polymers on a strip

Guillaume Barraquand, Ivan Corwin, Zongrui Yang

We prove that the stationary measures for the free-energy increment process for the geometric last passage percolation (LPP) and log-gamma polymer model on a diagonal strip is give…

math.PR2022★ 7 cited

Markov duality and Bethe ansatz formula for half-line open ASEP

Guillaume Barraquand, Ivan Corwin

Using a Markov duality satisfied by ASEP on the integer line, we deduce a similar Markov duality for half-line open ASEP and open ASEP on a segment. This leads to closed systems of…

math.PR2022

The lower tail of -pushTASEP

Ivan Corwin, Milind Hegde

We study -pushTASEP, a discrete time interacting particle system whose distribution is related to the -Whittaker measure. We prove a uniform in lower tail bound on the fl…

math.PR2022

The ASEP speed process

Amol Aggarwal, Ivan Corwin, Promit Ghosal

For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…

math.PR2022

Stationary measures for the log-gamma polymer and KPZ equation in half-space

Guillaume Barraquand, Ivan Corwin

We construct explicit one-parameter families of stationary measures for the Kardar-Parisi-Zhang equation in half-space with Neumann boundary conditions at the origin, as well as fo…