114 citations · 286 across the 20 of their papers we have counts for
4 papers · 2 filters
Independence property of the Busemann function in exactly solvable KPZ models
Xiao Shen
The study of Kadar-Parsi-Zhang (KPZ) universality class has been a subject of great interest among mathematicians and physicists over the past three decades. A notably successful a…
Time correlations in KPZ models with diffusive initial conditions
Riddhipratim Basu, Xiao Shen
Temporal correlation for randomly growing interfaces in the KPZ universality class is a topic of recent interest. Most of the works so far have been concentrated on the zero temper…
Coalescence and total-variation distance of semi-infinite inverse-gamma polymers
Firas Rassoul-Agha, Timo Seppäläinen, Xiao Shen
We show that two semi-infinite positive temperature polymers coalesce on the scale predicted by KPZ (Kardar-Parisi-Zhang) universality. The two polymer paths have the same asymptot…
Temporal correlation in the inverse-gamma polymer
Riddhipratim Basu, Timo Seppäläinen, Xiao Shen
Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic. Following numerical studies by phys…