49 citations · 236 across the 29 of their papers we have counts for
35 papers
Large eigenvalues of the Connes-Moscovici operator
Kouichi Taira, Max Willems, Michał Wrochna
We prove the logarithmic Weyl law predicted by Connes and Moscovici for large positive eigenvalues of the distinguished self-adjoint extension of the operator $P=-\partial_x(x^2-1)…
The Dirichlet-to-Neumann map on asymptotically anti-de Sitter spaces and holography
Alberto Enciso, Gunther Uhlmann, Michał Wrochna
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes, and show that the forward Dirichlet-to-Neumann map (or scattering matrix) is a fractional power o…
Long-time evolution of forced waves in the low viscosity regime
Nicolas Frantz, Michał Wrochna
We consider a model for internal waves described by a zero order pseudo-differential Hamiltonian damped by a second order viscosity term . Under Morse-Smale or similar we…
Singularities of Dirac-Coulomb propagators
Dean Baskin, Michał Wrochna, Jared Wunsch
In this paper we study singularities of propagators and -point functions for Dirac fields in a Coulomb potential, possibly with a -dependent smooth part for . W…
Dirac operators and local invariants on perturbations of Minkowski space
Nguyen Viet Dang, András Vasy, Michał Wrochna
For small perturbations of Minkowski space, we show that the square of the Lorentzian Dirac operator has real spectrum apart from possible poles in a horizontal strip. Fu…
IR-fixed Euclidean vacuum for linearized gravity on de Sitter space
Christian Gérard, Michał Wrochna
We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calderón p…