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math.AP2023
Quantitative version of Weyl's law
Nikhil Savale
We prove a general estimate for the Weyl remainder of an elliptic, semiclassical pseudodifferential operator in terms of volumes of recurrence sets for the Hamilton flow of its pri…
math.AP2015★ 7 cited
Koszul complexes, Birkhoff normal form and the magnetic Dirac operator
Nikhil Savale
We consider the semi-classical Dirac operator coupled to a magnetic potential on a large class of manifolds including all metric contact manifolds. We prove a sharp local Weyl law…