Mauricio Duarte

activity

20182022

collaborators

5 papers

math.DS2022

Upper bound on the number of collisions of pinned billiard balls

Krzysztof Burdzy, Mauricio Duarte

We consider systems of "pinned balls," i.e., balls that have fixed positions and pseudo-velocities. Pseudo-velocities change according to the same rules as those for velocities of…

math.PR2020

Powers of Brownian Green Potentials

Claude Dellacherie, Mauricio Duarte, Servet Martínez +2

In this article we study stability properties of $g_{O}$ , the standard Green kernel for $O$ an open regular set in $R^{d}$ . In $d \geq 3$ we show that $g_{O}^{β}$ is again a Green kernel of…

math.DS2018

On pinned billiard balls and foldings

Jayadev S. Athreya, Krzysztof Burdzy, Mauricio Duarte

We consider systems of "pinned balls," i.e., balls that have fixed positions and pseudo-velocities. Pseudo-velocities change according to the same rules as those for velocities of…

math.DS2018

On the number of hard ball collisions

Krzysztof Burdzy, Mauricio Duarte

We give a new and elementary proof that the number of elastic collisions of a finite number of balls in the Euclidean space is finite. We show that if there are $n$ balls of equal…

math.DS2018

A lower bound for the number of elastic collisions

Krzysztof Burdzy, Mauricio Duarte

We prove by example that the number of elastic collisions of $n$ balls of equal mass and equal size in $d$ -dimensional space can be greater than $n^{3} /27$ for $n \geq 3$ and $d\geq 2…