Jose Blanchet

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math.PR2026

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.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.PR2026

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.PR2025

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.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…

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

Viral Quasispecies Evolution as a Branching Random Walk on the Hypercube

On the First Passage Times of Branching Random Walks in Rd

Empirical martingale projections via the adapted Wasserstein distance

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

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

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