Zhenyuan Zhang

activity

20232026

most citedEmpirical martingale projections via the adapted Wasserstein distance

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2026

Precise cover times for branching random walks on Hamming graphs: (iterated) logarithmic corrections

Zhenyuan Zhang

We prove tight asymptotics of the cover time $τ_{cov} (d)$ of a continuous-time branching random walk on the Hamming graph ${0, 1, \dots, b - 1}^{d}$ , as $d \to \infty$ . We focus…

math.PR2026

Viral Quasispecies Evolution as a Branching Random Walk on the Hypercube

Jose Blanchet, Zhenyuan Zhang

We study a continuous-time nearest-neighbor branching random walk on the $d$ -dimensional $b$ -ary hypercube ${0, 1, \dots, b - 1}^{d}$ as a model for viral quasispecies evolution under m…

math.PR2025

Large Deviations of First Passage Times of Branching Random Walks in $R^{d}$ : Asymptotics and Algorithms

Jose Blanchet, Wei Cai, Shaswat Mohanty +1

We investigate the large deviation probabilities of first passage times (FPT) of discrete-time supercritical non-lattice branching random walks (BRWs) in $R^{d}$ where $d\ge…

math.ST2025

Stabilizing the Splits through Minimax Decision Trees

Zhenyuan Zhang, Hengrui Luo

By revisiting the end-cut preference (ECP) phenomenon associated with a single CART (Breiman et al. (1984)), we introduce MinimaxSplit decision trees, a robust alternative to CART…

math.PR2024

Tightness Analysis of First Passage Times of $d$ -Dimensional Branching Random Walk

Jose Blanchet, Zhenyuan Zhang

Given a discrete-time non-lattice supercritical branching random walk in $R^{d}$ , we investigate its first passage time to a shifted unit ball of a distance $x$ from the ori…

math.PR2024

On the First Passage Times of Branching Random Walks in $R^{d}$

Jose Blanchet, Wei Cai, Shaswat Mohanty +1

We study the first passage times of discrete-time branching random walks in $R^{d}$ where $d \geq 1$ . Here, the genealogy of the particles follows a supercritical Galton-Wat…

math.PR2024★ 1 cited

Empirical martingale projections via the adapted Wasserstein distance

Jose Blanchet, Johannes Wiesel, Erica Zhang +1

Given a collection of multidimensional pairs ${(X_{i}, Y_{i}) : 1 \leq i \leq n}$ , we study the problem of projecting the associated suitably smoothed empirical measure onto the space of…

math-ph2023

Modeling Shortest Paths in Polymeric Networks using Spatial Branching Processes

Zhenyuan Zhang, Shaswat Mohanty, Jose Blanchet +1

Recent studies have established a connection between the macroscopic mechanical response of polymeric materials and the statistics of the shortest path (SP) length between distant…