654 citations · 2.4k across the 65 of their papers we have counts for
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Two ways to solve ASEP
Ivan Corwin
The purpose of this article is to describe the two approaches to compute exact formulas (which are amenable to asymptotic analysis) for the probability distribution of the current…
Moments and Lyapunov exponents for the parabolic Anderson model
Alexei Borodin, Ivan Corwin
We study the parabolic Anderson model in dimensions with nearest neighbor jumps and space-time white noise (discrete space/continuous time). We prove a contour integral for…
From duality to determinants for q-TASEP and ASEP
Alexei Borodin, Ivan Corwin, Tomohiro Sasamoto
We prove duality relations for two interacting particle systems: the -deformed totally asymmetric simple exclusion process (-TASEP) and the asymmetric simple exclusion proces…
Universality for directed polymers in thin rectangles
Antonio Auffinger, Jinho Baik, Ivan Corwin
We consider the fluctuations of the free energy of positive temperature directed polymers in thin rectangles (N,N^α), α< 3/14. For general weight distributions with finite fourth m…
Free energy fluctuations for directed polymers in random media in 1+1 dimension
Alexei Borodin, Ivan Corwin, Patrik Ferrari
We consider two models for directed polymers in space-time independent random media (the O'Connell-Yor semi-discrete directed polymer and the continuum directed random polymer) at…