Zobrazeno 1 - 10
of 127
pro vyhledávání: '"Hitrik, Michael"'
Autor:
Hitrik, Michael, Zworski, Maciej
We prove that the number of quasinormal modes (QNM) for Schwarzschild and Schwarzschild-de Sitter black holes in a disc of radius $ r $ is bounded from below by $ c r^3 $. This shows that the recent upper bound by J\'ez\'equel is sharp. The argument
Externí odkaz:
http://arxiv.org/abs/2406.15924
We establish exponential decay, as the angle of twisting goes to $ 0$, of eigenstates in a model of twisted bilayer graphene (TBG), near the hexagon connecting stacking points. That is done by adapting microlocal methods Kawai-Kashiwara and Sj\"ostra
Externí odkaz:
http://arxiv.org/abs/2310.19140
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols given by exponentials of complex quadratic forms. We show that the boundedness of the corresponding Weyl symbols is necessary for the boundedness of the operators, thereby compl
Externí odkaz:
http://arxiv.org/abs/2303.01558
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of Fourier integral operators in the complex domain. Sufficient conditions are established for the compo
Externí odkaz:
http://arxiv.org/abs/2205.08649
Autor:
Hitrik, Michael, Stone, Matthew
We adapt the direct approach to the semiclassical Bergman kernel asymptotics, developed recently by A. Deleporte, J. Sj\"ostrand, and the first-named author for real analytic exponential weights, to the smooth case. Similar to that work, our approach
Externí odkaz:
http://arxiv.org/abs/2105.14402
We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas of the time frequency analysis, we show that such operators are uniformly bounded on a na
Externí odkaz:
http://arxiv.org/abs/2009.09128
We study semiclassical Gevrey pseudodifferential operators, acting on exponentially weighted spaces of entire holomorphic functions. The symbols of such operators are Gevrey functions defined on suitable I-Lagrangian submanifolds of the complexified
Externí odkaz:
http://arxiv.org/abs/2009.09125
We develop a direct approach to the semiclassical asymptotics for Bergman projections in exponentially weighted spaces of holomorphic functions, with real analytic strictly plurisubharmonic weights. In particular, the approach does not rely upon the
Externí odkaz:
http://arxiv.org/abs/2004.14606