654 citations · 754 across the 6 of their papers we have counts for
5 papers · 1 filter
The strict-weak lattice polymer
Ivan Corwin, Timo Seppäläinen, Hao Shen
We introduce the strict-weak polymer model, and show the KPZ universality of the free energy fluctuation of this model for a certain range of parameters. Our proof relies on the ob…
Ergodicity of the Airy line ensemble
Ivan Corwin, Xin Sun
In this paper, we establish the ergodicity of the Airy line ensemble. This shows that it is the only candidate for Conjecture 3.2 in [3], regarding the classification of ergodic li…
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…
Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
Gideon Amir, Ivan Corwin, Jeremy Quastel
We consider the solution of the stochastic heat equation \partial_T \mathcal{Z} = 1/2 \partial_X^2 \mathcal{Z} - \mathcal{Z} \dot{\mathscr{W}} with delta function initial condition…