Jose Blanchet

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20242026

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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.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…

Viral Quasispecies Evolution as a Branching Random Walk on the Hypercube

Large Deviations of First Passage Times of Branching Random Walks in Rd: Asymptotics and Algorithms

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

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

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