3 papers
math.DG2019
Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case
Nikhil Savale
We prove several relations between spectrum and dynamics including wave trace expansion, sharp/improved Weyl laws, propagation of singularities and quantum ergodicity for the sub-R…
math.SG2018
Sub-leading asymptotics of ECH capacities
Daniel Cristofaro-Gardiner, Nikhil Savale
In previous work, the first author and collaborators showed that the leading asymptotics of the embedded contact homology (ECH) spectrum recovers the contact volume. Our main theor…
math.SP2018
A Gutzwiller type trace formula for the magnetic Dirac operator
Nikhil Savale
For manifolds including metric-contact manifolds with non-resonant Reeb ow, we prove a Gutzwiller type trace formula for the associated magnetic Dirac operator involving contributi…