2012, Graduate studies in mathematics, ISBN 9780821883204, Volume 138, xii, 431

Book

Bulletin of Mathematical Sciences, ISSN 1664-3607, 4/2017, Volume 7, Issue 1, pp. 1 - 85

...Bull. Math. Sci. (2017) 7:1–85 DOI 10.1007/s13373-017-0099-4 Mathematical study of scattering resonances Maciej Zworski 1 Received: 9 September 2016 / Accepted...

Mathematics, general | Mathematics | EXPANDING MAPS | MATHEMATICS | ANALYTIC CONTINUATION | LOWER BOUNDS | ASYMPTOTIC-DISTRIBUTION | COUNTING FUNCTION | WAVE-EQUATION | DYNAMICAL ZETA-FUNCTIONS | FREDHOLM DETERMINANTS | SEMICLASSICAL LIMIT | SCHRODINGER-OPERATORS

Mathematics, general | Mathematics | EXPANDING MAPS | MATHEMATICS | ANALYTIC CONTINUATION | LOWER BOUNDS | ASYMPTOTIC-DISTRIBUTION | COUNTING FUNCTION | WAVE-EQUATION | DYNAMICAL ZETA-FUNCTIONS | FREDHOLM DETERMINANTS | SEMICLASSICAL LIMIT | SCHRODINGER-OPERATORS

Journal Article

Communications in mathematical physics, ISSN 1432-0916, 2019, Volume 367, Issue 3, pp. 941 - 989

We consider a quantum graph as a model of graphene in constant magnetic field and describe the density of states in terms of relativistic Landau levels...

SPECTRA | PHYSICS, MATHEMATICAL | Magnetic fields | Graphene | Analysis | Graphite

SPECTRA | PHYSICS, MATHEMATICAL | Magnetic fields | Graphene | Analysis | Graphite

Journal Article

Journal of Spectral Theory, ISSN 1664-039X, 2016, Volume 6, Issue 4, pp. 1087 - 1114

... contributions were made by Agmon [1], Fay [9], Guillope and Zworski [13], Lax and Phillips [20], Mandouvalos [21], Patterson [24], and Perry [25]. Guillarmou [11] showed...

Asymptotically hyperbolic manifolds | Scattering resonances | SPECTRAL THEORY | MATHEMATICS, APPLIED | NON-EUCLIDEAN SPACES | RIEMANN SURFACE | EISENSTEIN SERIES | BLACK-HOLES | MATHEMATICS | MICROLOCAL ANALYSIS | scattering resonances | RESOLVENT | LAPLACIAN OPERATOR | CONSTANT NEGATIVE CURVATURE | KERR-DE SITTER

Asymptotically hyperbolic manifolds | Scattering resonances | SPECTRAL THEORY | MATHEMATICS, APPLIED | NON-EUCLIDEAN SPACES | RIEMANN SURFACE | EISENSTEIN SERIES | BLACK-HOLES | MATHEMATICS | MICROLOCAL ANALYSIS | scattering resonances | RESOLVENT | LAPLACIAN OPERATOR | CONSTANT NEGATIVE CURVATURE | KERR-DE SITTER

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 5/2015, Volume 200, Issue 2, pp. 345 - 438

...Invent. math. (2015) 200:345–438 DOI 10.1007/s00222-014-0527-y Decay of correlations for normally hyperbolic trapping Stéphane Nonnenmacher · Maciej Zworski...

Mathematics, general | Mathematics | DENSITY | MATHEMATICS | RESOLVENT | SPACES | BOUNDS | RESONANCE EXPANSIONS | Functions (mathematics) | Correlation | Trapping | Mathematical analysis | Decay | Evolution | Polynomials | Contact

Mathematics, general | Mathematics | DENSITY | MATHEMATICS | RESOLVENT | SPACES | BOUNDS | RESONANCE EXPANSIONS | Functions (mathematics) | Correlation | Trapping | Mathematical analysis | Decay | Evolution | Polynomials | Contact

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 4/2018, Volume 359, Issue 2, pp. 699 - 731

... Resonances for Obstacles in Hyperbolic Space Peter Hintz, Maciej Zworski Department of Mathematics, University of California, Berkeley, CA 94720, USA. E-mail: phintz...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | DECAY | SINGULARITIES | RESOLVENT | BOUNDARY-VALUE-PROBLEMS | WAVE-EQUATION | MANIFOLDS | PHYSICS, MATHEMATICAL | SCATTERING | KERR-DE SITTER

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | DECAY | SINGULARITIES | RESOLVENT | BOUNDARY-VALUE-PROBLEMS | WAVE-EQUATION | MANIFOLDS | PHYSICS, MATHEMATICAL | SCATTERING | KERR-DE SITTER

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 10/2017, Volume 210, Issue 1, pp. 211 - 229

...Invent. math. (2017) 210:211–229 DOI 10.1007/s00222-017-0727-3 Ruelle zeta function at zero for surfaces Semyon Dyatlov 1 · Maciej Zworski 2 Received: 9...

Mathematics, general | Mathematics | DIFFEOMORPHISMS | MATHEMATICS | SOBOLEV SPACES | MAPS | DYNAMICAL-SYSTEMS | ANALYTIC-TORSION | HYPERBOLIC MANIFOLDS | SPECTRUM | CONTACT ANOSOV-FLOWS | RESONANCES | FREDHOLM DETERMINANTS

Mathematics, general | Mathematics | DIFFEOMORPHISMS | MATHEMATICS | SOBOLEV SPACES | MAPS | DYNAMICAL-SYSTEMS | ANALYTIC-TORSION | HYPERBOLIC MANIFOLDS | SPECTRUM | CONTACT ANOSOV-FLOWS | RESONANCES | FREDHOLM DETERMINANTS

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 09/2016, Volume 57, Issue 9, p. 92101

...JOURNAL OF MATHEMATICAL PHYSICS 57, 092101 (2016) A Fermi golden rule for quantum graphs Minjae Lee a) and Maciej Zworski a) Department of Mathematics...

SPECTRUM | PHYSICS, MATHEMATICAL | RESONANCES | QUASIMODES | Eigenvalues | Graphs | Boundary value problems | Cusps | Curvature

SPECTRUM | PHYSICS, MATHEMATICAL | RESONANCES | QUASIMODES | Eigenvalues | Graphs | Boundary value problems | Cusps | Curvature

Journal Article

Acta Mathematica, ISSN 0001-5962, 12/2009, Volume 203, Issue 2, pp. 149 - 233

We study quantum scattering on manifolds equivalent to the Euclidean space near infinity, in the semiclassical regime. We assume that the corresponding...

Mathematics, general | Mathematics | LAPLACIAN | DENSITY | MATHEMATICS | RESOLVENT | BOUNDS | MANIFOLDS | RESONANCES | AXIOM | Spectral Theory | Mathematical Physics | Physics

Mathematics, general | Mathematics | LAPLACIAN | DENSITY | MATHEMATICS | RESOLVENT | BOUNDS | MANIFOLDS | RESONANCES | AXIOM | Spectral Theory | Mathematical Physics | Physics

Journal Article

International mathematics research notices, ISSN 1073-7928, 02/2020, Volume 2020, Issue 3, pp. 781 - 812

Abstract We show directly that the fractal uncertainty principle of Bourgain–Dyatlov [3] implies that there exists σ > 0 for which the Selberg zeta function...

MATHEMATICS

MATHEMATICS

Journal Article

Annales Scientifiques de l'Ecole Normale Superieure, ISSN 0012-9593, 2016, Volume 49, Issue 3, pp. 543 - 577

The purpose of this paper is to give a short microlocal proof of the meromorphic continuation of the Ruelle zeta function for C-infinity Anosov flows. More...

DIFFEOMORPHISMS | MATHEMATICS | SOBOLEV SPACES | NUMBER | POLLICOTT-RUELLE RESONANCES | RIEMANN SURFACES | SYSTEMS | HYPERBOLIC MANIFOLDS | SPECTRUM | OPERATORS | FREDHOLM DETERMINANTS

DIFFEOMORPHISMS | MATHEMATICS | SOBOLEV SPACES | NUMBER | POLLICOTT-RUELLE RESONANCES | RIEMANN SURFACES | SYSTEMS | HYPERBOLIC MANIFOLDS | SPECTRUM | OPERATORS | FREDHOLM DETERMINANTS

Journal Article

Inventiones mathematicae, ISSN 1432-1297, 2003, Volume 152, Issue 1, pp. 89 - 118

Journal Article

SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2018, Volume 50, Issue 5, pp. 5362 - 5379

We consider the Kramers-Smoluchowski equation at a low temperature regime and show how semiclassical techniques developed for the study of the Witten Laplacian...

Witten Laplacian | Semiclassical analysis | Kramers-Smoluchowski equation | CHEMICAL-REACTIONS | MATHEMATICS, APPLIED | DIFFUSION | ASYMPTOTICS | semiclassical analysis | Analysis of PDEs | Mathematics

Witten Laplacian | Semiclassical analysis | Kramers-Smoluchowski equation | CHEMICAL-REACTIONS | MATHEMATICS, APPLIED | DIFFUSION | ASYMPTOTICS | semiclassical analysis | Analysis of PDEs | Mathematics

Journal Article

Annales Henri Poincaré, ISSN 1424-0637, 1/2017, Volume 18, Issue 1, pp. 1 - 35

.../s00023-016-0504-7 Annales Henri Poincar´ e A Local T race F ormula for Anosov Flows Long Jin and Maciej Zworski With appendices by Fr´ ed´ eric Naud Abstract. We prove a local...

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIFFEOMORPHISMS | NUMBER | ZETA-FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | AXIOM | DYNAMICAL-SYSTEMS | BOUNDS | POLLICOTT-RUELLE RESONANCES | POLES | SPECTRUM | OPERATORS | PHYSICS, PARTICLES & FIELDS

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIFFEOMORPHISMS | NUMBER | ZETA-FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | AXIOM | DYNAMICAL-SYSTEMS | BOUNDS | POLLICOTT-RUELLE RESONANCES | POLES | SPECTRUM | OPERATORS | PHYSICS, PARTICLES & FIELDS

Journal Article

Annales Henri Poincaré, ISSN 1424-0637, 11/2011, Volume 12, Issue 7, pp. 1349 - 1385

... Annales Henri Poincar´ e Resolvent Estimates for Normally Hyperbolic T rapped Sets Jared Wunsch and Maciej Zworski Abstract. We give pole free strips and estimates...

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DENSITY | DECAY | PHYSICS, MULTIDISCIPLINARY | BOUNDS | WAVE-EQUATION | PHYSICS, MATHEMATICAL | RESONANCES | LOCAL ENERGY | PHYSICS, PARTICLES & FIELDS

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DENSITY | DECAY | PHYSICS, MULTIDISCIPLINARY | BOUNDS | WAVE-EQUATION | PHYSICS, MATHEMATICAL | RESONANCES | LOCAL ENERGY | PHYSICS, PARTICLES & FIELDS

Journal Article

Annals of mathematics, ISSN 0003-486X, 1/2014, Volume 179, Issue 1, pp. 179 - 251

We study a semiclassical quantization of Poincaré maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof...

Maps | Mathematical theorems | Invertibility | Coordinate systems | Fractals | Mathematical functions | Resonance | Trajectories | Lagrangian function | MATHEMATICS | ZETA-FUNCTION | NUMBER | SET | SCATTERING POLES | LOWER BOUNDS | RESOLVENT | SPACES | GROWTH | SEMICLASSICAL RESONANCES | Chaotic Dynamics | Mathematics | Nonlinear Sciences | Mathematical Physics | Analysis of PDEs | Physics

Maps | Mathematical theorems | Invertibility | Coordinate systems | Fractals | Mathematical functions | Resonance | Trajectories | Lagrangian function | MATHEMATICS | ZETA-FUNCTION | NUMBER | SET | SCATTERING POLES | LOWER BOUNDS | RESOLVENT | SPACES | GROWTH | SEMICLASSICAL RESONANCES | Chaotic Dynamics | Mathematics | Nonlinear Sciences | Mathematical Physics | Analysis of PDEs | Physics

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 4/2004, Volume 17, Issue 2, pp. 443 - 471

Journal Article

Nonlinearity, ISSN 1361-6544, 2013, Volume 26, Issue 1, pp. 35 - 52

Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, on average, uniformly distributed on energy surfaces....

MATHEMATICS, APPLIED | SUBMANIFOLDS | EIGENFUNCTIONS | PHYSICS, MATHEMATICAL | BILLIARDS | Geometry | Constrictions | Nonlinearity | Theorems | Quantum theory | Ergodic processes

MATHEMATICS, APPLIED | SUBMANIFOLDS | EIGENFUNCTIONS | PHYSICS, MATHEMATICAL | BILLIARDS | Geometry | Constrictions | Nonlinearity | Theorems | Quantum theory | Ergodic processes

Journal Article

Ergodic theory and dynamical systems, ISSN 0143-3857, 08/2014, Volume 34, Issue 4, pp. 1168 - 1183

... Ergod. Th. & Dynam. Sys. (2014), 34, 11681183 c doi:10.1017/etds.2013.3 KIRIL DATCHEV, SEMYON DYATLOV and MACIEJ ZWORSKI Department of Mathematics, 77...

DENSITY | MATHEMATICS | TRANSFER OPERATORS | MATHEMATICS, APPLIED | SOBOLEV SPACES | SCATTERING POLES | MAPS | SYSTEMS | CONTACT ANOSOV-FLOWS | Correlation analysis | Scattering | Polynomials | Complex numbers | Correlation | Upper bounds | Dynamical systems | Ergodic processes | Contact

DENSITY | MATHEMATICS | TRANSFER OPERATORS | MATHEMATICS, APPLIED | SOBOLEV SPACES | SCATTERING POLES | MAPS | SYSTEMS | CONTACT ANOSOV-FLOWS | Correlation analysis | Scattering | Polynomials | Complex numbers | Correlation | Upper bounds | Dynamical systems | Ergodic processes | Contact

Journal Article

SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2012, Volume 44, Issue 5, pp. 3481 - 3501

..., RACHEL WARD, AND MACIEJ ZWORSKI Abstract. Using tools from semiclassical analysis, we give weighted L estimates for eigenfunctions of strictly convex surfaces...

Surfaces of revolution | Eigenfunctions | Compressed sensing | eigenfunctions | MATHEMATICS, APPLIED | compressed sensing | UNCERTAINTY PRINCIPLES | RECONSTRUCTION | FOURIER | surfaces of revolution

Surfaces of revolution | Eigenfunctions | Compressed sensing | eigenfunctions | MATHEMATICS, APPLIED | compressed sensing | UNCERTAINTY PRINCIPLES | RECONSTRUCTION | FOURIER | surfaces of revolution

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.