Mathematical Research Letters
Volume 25 (2018)
Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension $3$
Pages: 1405 – 1427
We show that for contact Anosov flows in dimension $3$ the resonant states associated to the first band of Ruelle resonances are distributions that are invariant by the unstable horocyclic flow.
C.G. is supported by ERC consolidator grant IPFLOW no 725967.
F.F. and C.G. were supported by the grant ANR 13-BS01-0007-01.
Received 20 September 2017
Accepted 15 March 2018
Published 1 February 2019