Abstract
We summarize the results of several recent papers, together with a few new results, which rely on a connection between semi-dispersing billiards and non-regular Riemannian geometry. We use this connection to solve several open problems about the existence of uniform estimates on the number of collisions, topological entropy and periodic trajectories of such billiards.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 303-319 |
| Number of pages | 17 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 1998 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
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A geometric approach to semi-dispersing billiards. / Burago, Dmitri; Ferleger, S.; Kononenko, A.
In: Ergodic Theory and Dynamical Systems, Vol. 18, No. 2, 01.01.1998, p. 303-319.Research output: Contribution to journal › Article
TY - JOUR
T1 - A geometric approach to semi-dispersing billiards
AU - Burago, Dmitri
AU - Ferleger, S.
AU - Kononenko, A.
PY - 1998/1/1
Y1 - 1998/1/1
N2 - We summarize the results of several recent papers, together with a few new results, which rely on a connection between semi-dispersing billiards and non-regular Riemannian geometry. We use this connection to solve several open problems about the existence of uniform estimates on the number of collisions, topological entropy and periodic trajectories of such billiards.
AB - We summarize the results of several recent papers, together with a few new results, which rely on a connection between semi-dispersing billiards and non-regular Riemannian geometry. We use this connection to solve several open problems about the existence of uniform estimates on the number of collisions, topological entropy and periodic trajectories of such billiards.
UR - http://www.scopus.com/inward/record.url?scp=0347416107&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0347416107&partnerID=8YFLogxK
U2 - 10.1017/S014338579811564X
DO - 10.1017/S014338579811564X
M3 - Article
VL - 18
SP - 303
EP - 319
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 2
ER -