On the support of Pollicott-Ruelle resonant states for Anosov flows

Abstract

We show that all generalized Pollicott-Ruelle resonant states of a topologically transitiv $C^{\infty }$-Anosov flow with an arbitrary $C^{\infty }$ potential, have full support.

minor corrections/journal reference added, Ann. Henri Poincaré (2016)

References in corpus (2)

• Pollicott-Ruelle resonances for open systems
• Power spectrum of the geodesic flow on hyperbolic manifolds

Cited by in corpus (2)

• The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
• Resonant forms at zero for dissipative Anosov flows