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Application of transfer operators to dynamical systems

Objective



Transfer operators appear in the examination of the geodesic flow of compact Riemannian manifolds of negative curvature and more generally axiom A-systems which model systems in both classical and quantum mechanics.
Their spectral properties can be related to the analytical ones of Fredholm- determinates and S-functions which are defined by the unstable periodic orbits of the system.
I am trying to study the theory of transfer operators, which is up to now understood the best for low dimensional systems, in the higher dimensional case.

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

UNIVERSITY OF WARWICK
Address
Gibbet Hill Road
CV4 7AL Coventry
United Kingdom

Participants (1)

Not available
Germany