Counting
collisions in gas models and Alexandrov Geometry of
curvature bounded above
Professor Dmitri Burago
Department of Mathematics
The
A hard ball gas model
is a system of identical balls moving freely and colliding elastically. The
model can be considered in a box or empty space (without walls). We will
discuss the following classical problem: how many collisions can occur in the
system (depending on the number of balls). We will show how this problem can be
solved by reducing it to a certain statement about geodesics in length spaces
with upper curvature bounds (in the sense of A.D. Alexandrov).
No preliminary knowledge of Alexandrov geometry is
expected. The talk is accessible to undergraduate students interested in
mathematics.
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Date: |
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Time: |
3:00 – 4:00pm |
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Place: |
Room 517, Meng Wah Complex, HKU |
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All are welcome |
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