Abstract
Piecewise-Hölder functions on the phase space of a dispersed billiard are considered. It is shown that if the integral of such a function around any periodic trajectory is zero then the function itself is cohomologous to zero.
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References
L. A. Bunomovich, Ya. G. Sinai, and N. I. Chernov,Usp. Mat. Nauk,45, 97 (1990).
L. A. Bunomovich, Ya. G. Sinai, and N. I. Chernov,Usp. Mat. Nauk,46, 43 (1991).
Ya. G. Sinai,Usp. Mat. Nauk,25, 141 (1970).
G. Gallavotti and D. Ornstein,Commun. Math. Phys.,38, 83 (1974).
L. A. Bunimovich and Ya. G. Sinai,Commun. Math. Phys.,73, 247 (1980).
L. A. Bunimovich and Ya. G. Sinai,Commun. Math. Phys.,107, 357 (1986).
R. Bowen, in:Methods of Symbolic Dynamics [Russian translations], Mir, Moscow (1979).
A. N. Livšic,Mat. Zametki,10, 555 (1971).
Additional information
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 98, No. 2, pp. 184–196, February, 1994.
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Efimov, K.M. Theorem of Livšic type for dispersed billiards. Theor Math Phys 98, 122–131 (1994). https://doi.org/10.1007/BF01015790
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DOI: https://doi.org/10.1007/BF01015790