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Documents  Pohl, Anke | enregistrements trouvés : 2

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- x; 347 p.
ISBN 978-1-4704-5100-4

Contemporary mathematics , 0744

Localisation : Collection 1er étage

théorie des nombres # système dynamique # géométrie arithmétique # géométrie plane # dynamique complexe # théorie des graphes # dynamique topologique

37-06 ; 37Axx ; 37Bxx ; 37Dxx ; 37EXX ; 37FXX ; 00B25

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Research talks;Partial Differential Equations;Number Theory;Mathematical Physics

Over the last few years I developed (partly jointly with coauthors) dual 'slow/fast' transfer operator approaches to automorphic functions, resonances, and Selberg zeta functions for certain hyperbolic surfaces/orbifolds L \ H with cusps (both of finite and infinite area; arithmetic and non-arithmetic).
Both types of transfer operators arise from discretizations of the geodesic flow on L \ H. The eigenfunctions with eigenvalue 1 of slow transfer operators characterize Maass cusp forms. Conjecturally, this characterization extends to more general automorphic functions as well as to residues at resonances. The Fredholm determinant of the fast transfer operators equals the Selberg zeta function, which yields that the zeros of the Selberg zeta function (among which are the resonances) are determined by the eigenfunctions with eigenvalue 1 of the fast transfer operators. It is a natural question how the eigenspaces of these two types of transfer operators are related to each other.
Over the last few years I developed (partly jointly with coauthors) dual 'slow/fast' transfer operator approaches to automorphic functions, resonances, and Selberg zeta functions for certain hyperbolic surfaces/orbifolds L \ H with cusps (both of finite and infinite area; arithmetic and non-arithmetic).
Both types of transfer operators arise from discretizations of the geodesic flow on L \ H. The eigenfunctions with eigenvalue 1 of slow transfer ...

37C30 ; 11F03 ; 37D40

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