Fredholm determinants, Anosov maps and Ruelle resonances

Mathematics – Dynamical Systems

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

I show that the dynamical determinant, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding Ruelle-Perron-Frobenius transfer operator acting on appropriate Banach spaces. As a consequence it follows, for example, that the zeroes of the dynamical determinant describe the eigenvalues of the transfer operator and the Ruelle resonances and that, for $\Co^\infty$ Anosov diffeomorphisms, the dynamical determinant is an entire function.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Fredholm determinants, Anosov maps and Ruelle resonances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fredholm determinants, Anosov maps and Ruelle resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fredholm determinants, Anosov maps and Ruelle resonances will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-460522

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.