12 citations · 20 across the 8 of their papers we have counts for
5 papers · 1 filter
Localization length of the continuum directed random polymer
Alexander Dunlap, Yu Gu, Liying Li
In this paper, we study the localization length of the continuum directed polymer, defined as the distance between the endpoints of two paths sampled independently from the q…
Point Fields of Last Passage Percolation and Coalescing Fractional Brownian Motions
Konstantin Khanin, Liying Li, Zhanghan Yin
We consider large-scale point fields which naturally appear in the context of the Kardar-Parisi-Zhang (KPZ) phenomenon. Such point fields are geometrical objects formed by points o…
On asymptotic behavior of iterates of piecewise constant monotone maps
Konstantin Khanin, Liying Li
In this paper we study the rate of convergence of the iterates of \iid random piecewise constant monotone maps to the time- transport map for the process of coalescing Brownian…
Zero temperature limit for directed polymers and inviscid limit for stationary solutions of stochastic Burgers equation
Yuri Bakhtin, Liying Li
We consider a space-continuous and time-discrete polymer model for positive temperature and the associated zero temperature model of last passage percolation type. In our previous…
Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation
Yuri Bakhtin, Liying Li
The first goal of this paper is to prove multiple asymptotic results for a time-discrete and space-continuous polymer model of a random walk in a random potential. These results in…