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Regularization and topological entropy for the spatial n-center problem

Published online by Cambridge University Press:  30 March 2001

S. V. BOLOTIN  and
P. NEGRINI
S. V. BOLOTIN
Affiliation:
Department of Mathematics and Mechanics, Moscow State University, Russia
P. NEGRINI
Affiliation:
Department of Mathematics, Rome University ‘La Sapienza’, Italy
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Abstract

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We show that the n-center problem in \mathbb{R}3 has positive topological entropy for n\ge 3. The proof is based on global regularization of singularities and the results of Gromov and Paternain on the topological entropy of geodesic flows. The n-center problem in S3 is also studied.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 2 , April 2001 , pp. 383 - 399
Copyright
2001 Cambridge University Press