Number theory and dynamical systems on foliated spaces

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dc.creatorDeninger, Christopher
dc.date2002-04-10
dc.date.accessioned2026-07-07T04:47:32Z
dc.date.available2026-07-07T04:47:32Z
dc.descriptionWe discuss analogies between number theory and the theory of dynamical systems on spaces with a one-codimensional foliation. The emphasis is on comparing the "explicit formulas" of analytic number theory with certain dynamical Lefschetz trace formulas. We also point out a possible relation between an Arakelov-Euler characteristic and an Euler characteristic in the sense of Connes. Finally the role of generalized solenoids as phase spaces in our picture is explained.
dc.identifierhttps://arxiv.org/abs/math/0204110
dc.identifierhttp://arxiv.org/abs/math/0204110
dc.identifierJber. d. Dt. Math.-Verein. 103 (2001), 79-100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63754
dc.subjectNumber Theory
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject11-02; 11R42; 34C25; 37C27; 53C12; 58B34
dc.titleNumber theory and dynamical systems on foliated spaces
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