10 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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 balls of equal…
A lower bound for the number of elastic collisions
Krzysztof Burdzy, Mauricio Duarte
We prove by example that the number of elastic collisions of balls of equal mass and equal size in -dimensional space can be greater than for and $d\geq 2…