Dinh-Toan Nguyen

most citedMeasure estimation on a manifold explored by a diffusion process

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math.PR2022

Strong uniform convergence of Laplacians of random geometric and directed kNN graphs on compact manifolds

Hélène Guérin, Dinh-Toan Nguyen, Viet-Chi Tran

Consider $n$ points independently sampled from a density $p$ of class $C^{2}$ on a smooth compact $d$ -dimensional sub-manifold $M$ of $R^{m}$ , and consider…

math.PR2022

Scaling limit of the collision measures of multiple random walks

Dinh-Toan Nguyen

For an integer $k \geq 2$ , let $S^{(1)}, S^{(2)}, \dots, S^{(k)}$ be $k$ independent simple symmetric random walks on $Z$ . A pair $(n, z)$ is called a collision event if ther…