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20192026
most citedA fourth moment phenomenon for asymptotic normality of monochromatic subgraphs

3 citations · 5 across the 11 of their papers we have counts for

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7 papers · 1 filter

math.PR2026

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…

math.PR2026

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…

math.PR2026

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…

math.PR2024

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…

math.PR2024

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…

math.PR2024

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…

math.PR2022★ 3 cited

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…