3 citations · 5 across the 11 of their papers we have counts for
12 papers
The Laplace transform of the stationary measure of the open KPZ equation in the shock region
Zoe Himwich, Yizao Wang
The stationary increment measure of the open Kardar-Parisi-Zhang equation on a bounded interval can be represented as the independent sum of a Brownian motion and another process d…
Temperature chaos in directed polymers
Shirshendu Ganguly, Victor Ginsburg, Zoe Himwich
Disordered systems such as spin glasses and polymers characteristically exhibit random energy landscapes with many macroscopically separated energetic valleys corresponding to near…
Rising GUE Eigenvalue Process from a Fixed Level
Zoe Himwich
We construct the multilevel correlation kernel for the rising GUE eigenvalue process starting from a fixed initial configuration , and show that it converges on short time…
The directed landscape is a black noise
Zoe Himwich, Shalin Parekh
We show that the directed landscape is a black noise in the sense of Tsirelson and Vershik. As a corollary, we show that for any microscopic system in which the height profile conv…
Stationary Measure of the Open KPZ Equation through the Enaud-Derrida Representation
Zoe Himwich
Recent works of Barraquand and Le Doussal and Bryc, Kuznetsov, Wang, and Wesolowski gave a description of the open KPZ stationary measure as the sum of a Brownian motion and a Brow…
Variations on Sidorenko's conjecture in tournaments
Jacob Fox, Zoe Himwich, Nitya Mani +1
We study variants of Sidorenko's conjecture in tournaments, where new phenomena arise that do not have clear analogues in the setting of undirected graphs. We first consider orient…
Convergence of the open WASEP stationary measure without Liggett's condition
Zoe Himwich
We demonstrate that Liggett's condition can be relaxed without disrupting the convergence of open ASEP stationary measures to the open KPZ stationary measure. This is equivalent to…
A note on directed analogues of the Sidorenko and forcing conjectures
Jacob Fox, Zoe Himwich, Nitya Mani +1
We study analogues of Sidorenko's conjecture and the forcing conjecture in oriented graphs, showing that natural variants of these conjectures in directed graphs are equivalent to…
A fourth moment phenomenon for asymptotic normality of monochromatic subgraphs
Sayan Das, Zoe Himwich, Nitya Mani
Given a graph sequence and a simple connected subgraph , we denote by the number of monochromatic copies of in a uniformly random vertex colorin…
Extremal results on feedback arc sets in digraphs
Jacob Fox, Zoe Himwich, Nitya Mani
A directed graph is oriented if it can be obtained by orienting the edges of a simple, undirected graph. For an oriented graph , let denote the size of a minimum feedback…
Making an -Free Graph -Colorable
Jacob Fox, Zoe Himwich, Nitya Mani
We study the following question: how few edges can we delete from any -free graph on vertices in order to make the resulting graph -colorable? It turns out that various c…
Roadblocked monotonic paths and the enumeration of coalescent histories for non-matching caterpillar gene trees and species trees
Zoe M. Himwich, Noah A. Rosenberg
Given a gene tree topology and a species tree topology, a coalescent history represents a possible mapping of the list of gene tree coalescences to associated branches of a species…