---
res:
bibo_abstract:
- In this paper we give an overview over some aspects of the modern mathematical
theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical
systems and their implications in physics. First we recall recent developments
in the mathematical theory of resonances, in particular how invariant Ruelle distributions
arise as residues of weighted zeta functions. Then we derive a correspondence
between weighted and semiclassical zeta functions in the setting of negatively
curved surfaces. Combining this with results of Hilgert, Guillarmou and Weich
yields a high frequency interpretation of invariant Ruelle distributions as quantum
mechanical matrix coefficients in constant negative curvature. We finish by presenting
numerical calculations of phase space distributions in the more physical setting
of 3-disk scattering systems.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Sonja
foaf_name: Barkhofen, Sonja
foaf_surname: Barkhofen
foaf_workInfoHomepage: http://www.librecat.org/personId=48188
- foaf_Person:
foaf_givenName: Philipp
foaf_name: Schütte, Philipp
foaf_surname: Schütte
foaf_workInfoHomepage: http://www.librecat.org/personId=50168
- foaf_Person:
foaf_givenName: Tobias
foaf_name: Weich, Tobias
foaf_surname: Weich
foaf_workInfoHomepage: http://www.librecat.org/personId=49178
orcid: 0000-0002-9648-6919
bibo_doi: 10.1088/1751-8121/ac6d2b
bibo_issue: '24'
bibo_volume: 55
dct_date: 2022^xs_gYear
dct_language: eng
dct_publisher: IOP Publishing Ltd@
dct_title: Semiclassical formulae For Wigner distributions@
...