Geodesic
Some analogies between number theory and dynamical systems on foliated spaces
Documenta mathematica, ICM Berlin 1998, Vol. I (1998), pp. 163-186.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this article we describe what a cohomology theory related to zeta and $L$-functions for algebraic schemes over the integers should look like. We then point out some striking analogies with the leafwise reduced cohomology of certain foliated dynamical systems.
Classification : 14A20, 14G10, 14F99, 37C85, 37C25, 57R30, 11G10, 11G40
Keywords: $L$-functions of motives, leafwise cohomology, dynamical systems, foliations, $L$-functions, zeta functions 
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     title = {Some analogies between number theory and dynamical systems on foliated spaces},
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Deninger, Christopher. Some analogies between number theory and dynamical systems on foliated spaces. Documenta mathematica, ICM Berlin 1998, Vol. I (1998), pp. 163-186. http://geodesic.mathdoc.fr/item/DOCMA_1998__S10__a25/