8 papers
Krylov Complexity: Flat bands and Carroll breaking deformations
Aritra Banerjee, Arpan Bhattacharyya, Rudranil Basu +1
Systems with flat band structures, when written in the language of Compact Localised States (CLS), have been shown to be explicitly invariant under supertranslation symmetries, mak…
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Sayan Das, Evan Sorensen, Zongrui Yang
We prove a complete characterization of the extremal invariant measures for half-space geometric last-passage percolation with an arbitrary boundary parameter. This is the first re…
Pinning in non-critical half-space geometric last passage percolation
Sayan Das, Evgeni Dimitrov, Zongrui Yang
We study a symmetrized (half-space) version of geometric last passage percolation with a boundary parameter that interpolates between subcritical, critical, and supercritical b…
Large deviations for the -deformed polynuclear growth
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study large time large deviations for the height function of the -deformed polynuclear growth introduced in ABW22 [arXiv:2108.06018]. We sh…
Short- and long-time path tightness of the continuum directed random polymer
Sayan Das, Weitao Zhu
We consider the point-to-point continuum directed random polymer () model that arises as a scaling limit from dimensional directed polymers in the intermediate…
Temporal increments of the KPZ equation with general initial data
Sayan Das
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started with initial data . In this article, we study the sample path properties of…