Semyon Dyatlov

Available identifiers

zbMath Open dyatlov.semyonWikidataQ56884387 ScholiaQ56884387MaRDI QIDQ332159

List of research outcomes

Publication	Date of Publication	Type
Macroscopic limits of chaotic eigenfunctions	2024-03-24	Paper
Semiclassical measures for higher-dimensional quantum cat maps	2024-02-20	Paper
Fractal uncertainty in higher dimensions: notes on Cohen's paper	2023-05-28	Paper
https://portal.mardi4nfdi.de/entity/Q5885165	2023-03-27	Paper
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds	2022-06-14	Paper
Around quantum ergodicity	2022-03-22	Paper
Control of eigenfunctions on surfaces of variable curvature	2022-03-07	Paper
Mathematics of internal waves in a 2D aquarium	2021-12-19	Paper
Pollicott-Ruelle resolvent and Sobolev regularity	2021-08-14	Paper
Around quantum ergodicity	2021-03-14	Paper
Fractal Uncertainty for Transfer Operators	2020-02-24	Paper
Mathematical Theory of Scattering Resonances	2019-10-21	Paper
Microlocal analysis of forced waves	2019-10-08	Paper
An introduction to fractal uncertainty principle	2019-09-09	Paper
Improved fractal Weyl bounds for hyperbolic manifolds (with an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich)	2019-05-29	Paper
Semiclassical measures on hyperbolic surfaces have full support	2018-08-27	Paper
Afterword: Dynamical zeta functions for Axiom A flows	2018-06-25	Paper
Dolgopyat's method and the fractal uncertainty principle	2018-06-06	Paper
Notes on hyperbolic dynamics	2018-05-29	Paper
Spectral gaps without the pressure condition	2018-04-25	Paper
Fractal Weyl laws and wave decay for general trapping	2018-01-05	Paper
Ruelle zeta function at zero for surfaces	2017-10-27	Paper
Control of eigenfunctions on hyperbolic surfaces: an application of fractal uncertainty principle	2017-10-24	Paper
Fourier dimension and spectral gaps for hyperbolic surfaces	2017-08-30	Paper
Resonances for open quantum maps and a fractal uncertainty principle	2017-07-21	Paper
Spectral gaps, additive energy, and a fractal uncertainty principle	2016-11-28	Paper
Pollicott-Ruelle resonances for open systems	2016-11-25	Paper
Spectral gaps for normally hyperbolic trapping	2016-10-27	Paper
Dynamical zeta functions for Anosov flows via microlocal analysis	2016-06-10	Paper
Lower Resolvent Bounds and Lyapunov Exponents	2016-04-15	Paper
Stochastic stability of Pollicott–Ruelle resonances	2015-10-29	Paper
Resonances and lower resolvent bounds	2015-10-20	Paper
Power spectrum of the geodesic flow on hyperbolic manifolds	2015-07-14	Paper
Asymptotics of linear waves and resonances with applications to black holes	2015-03-31	Paper
Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets	2015-02-02	Paper
Sharp polynomial bounds on the number of Pollicott–Ruelle resonances	2014-10-21	Paper
Microlocal limits of plane waves and Eisenstein functions	2014-08-04	Paper
Scattering phase asymptotics with fractal remainders	2013-11-13	Paper
Fractal Weyl laws for asymptotically hyperbolic manifolds	2013-08-12	Paper
Quantum ergodicity for restrictions to hypersurfaces	2013-05-16	Paper
Weighted Eigenfunction Estimates with Applications to Compressed Sensing	2013-02-04	Paper
Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes	2012-08-06	Paper
Microlocal limits of Eisenstein functions away from the unitarity axis	2012-05-14	Paper
Exponential energy decay for Kerr-de Sitter black holes beyond event horizons	2012-04-21	Paper
The sectional curvature remains positive when taking quotients by certain nonfree actions	2012-02-20	Paper
Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole	2011-08-23	Paper
Symmetry of bound and antibound states in the semiclassical limit for a general class of potentials	2010-09-27	Paper

Research outcomes over time

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