1

Fractal Weyl law for open quantum chaotic maps

Nonnenmacher, Stéphane, Sjöstrand, Johannes, Zworski, Maciej
Journal:
Annals of Mathematics
Year:
2014
Language:
english
File:
PDF, 2.73 MB
english, 2014
2

Sharp polynomial bounds on the number of scattering poles

Zworski, Maciej
Journal:
Duke Mathematical Journal
Year:
1989
Language:
english
File:
PDF, 870 KB
english, 1989
3

High frequency scattering by a convex obstacle

Zworski, Maciej
Journal:
Duke Mathematical Journal
Year:
1990
Language:
english
File:
PDF, 4.98 MB
english, 1990
4

Fractal upper bounds on the density of semiclassical resonances

Sjöstrand, Johannes, Zworski, Maciej
Journal:
Duke Mathematical Journal
Year:
2007
Language:
english
File:
PDF, 707 KB
english, 2007
5

Scattering Asymptotics for Riemann Surfaces

Laurent Guillope and Maciej Zworski
Journal:
Annals of Mathematics
Year:
1997
Language:
english
File:
PDF, 3.40 MB
english, 1997
6

10.1090/S0894-0347-04-00452-7

Burq, Nicolas, Zworski, Maciej
Journal:
Journal of the American Mathematical Society
Year:
2004
Language:
english
File:
PDF, 3.44 MB
english, 2004
7

Geometric Control in the Presence of a Black Box

Nicolas Burq and Maciej Zworski
Journal:
Journal of the American Mathematical Society
Year:
2004
Language:
english
File:
PDF, 2.64 MB
english, 2004
8

Effective Dynamics of Double Solitons for Perturbed mKdV

Justin Holmer, Galina Perelman, Maciej Zworski
Journal:
Communications in Mathematical Physics
Year:
2011
Language:
english
File:
PDF, 1.45 MB
english, 2011
11

Distribution of Resonances for Asymptotically Euclidean Manifolds

Wunsch, Jared, Zworski, Maciej
Journal:
Journal Of Differential Geometry
Year:
2000
Language:
english
File:
PDF, 424 KB
english, 2000
12

Asymptotic distribution of resonances for convex obstacles

Johannes Sjöstrand, Maciej Zworski
Journal:
Acta Mathematica
Year:
1999
Language:
english
File:
PDF, 2.44 MB
english, 1999
13

SemiclassicalLpEstimates

Herbert Koch, Daniel Tataru, Maciej Zworski
Journal:
Annales Henri Poincaré
Year:
2007
Language:
english
File:
PDF, 405 KB
english, 2007
14

Commentary on “Differentiable dynamical systems” by Stephen Smale

Zworski, Maciej
Journal:
Bulletin of the American Mathematical Society
Year:
2018
Language:
english
File:
PDF, 140 KB
english, 2018
15

Fast Soliton Scattering by Delta Impurities

Justin Holmer, Jeremy Marzuola, Maciej Zworski
Journal:
Communications in Mathematical Physics
Year:
2007
Language:
english
File:
PDF, 367 KB
english, 2007
16

Scattering metrics and geodesic flow at infinity

Richard Melrose, Maciej Zworski
Journal:
Inventiones mathematicae
Year:
1996
Language:
english
File:
PDF, 624 KB
english, 1996
18

Resonant Rigidity of S2

Andrew Hassell, Maciej Zworski
Journal:
Journal of Functional Analysis
Year:
1999
Language:
english
File:
PDF, 143 KB
english, 1999
19

Decay of correlations for normally hyperbolic trapping

Nonnenmacher, Stéphane, Zworski, Maciej
Journal:
Inventiones mathematicae
Year:
2015
Language:
english
File:
PDF, 1.00 MB
english, 2015
21

Distribution of poles for scattering on the real line

Maciej Zworski
Journal:
Journal of Functional Analysis
Year:
1987
Language:
english
File:
PDF, 712 KB
english, 1987
23

A Fermi golden rule for quantum graphs

Lee, Minjae, Zworski, Maciej
Journal:
Journal of Mathematical Physics
Year:
2016
Language:
english
File:
PDF, 865 KB
english, 2016
24

The FBI Transform on Compact C∞Manifolds

Jared Wunsch and Maciej Zworski
Journal:
Transactions of the American Mathematical Society
Year:
2001
Language:
english
File:
PDF, 1.79 MB
english, 2001
26

Breit–Wigner Approximation and the Distribution¶of Resonances

Vesselin Petkov, Maciej Zworski
Journal:
Communications in Mathematical Physics
Year:
1999
Language:
english
File:
PDF, 153 KB
english, 1999
27

The Wave Trace for Riemann Surfaces

L. Guillopé, M. Zworski
Journal:
Geometric And Functional Analysis
Year:
1999
Language:
english
File:
PDF, 163 KB
english, 1999
28

Quantum decay rates in chaotic scattering

Stéphane Nonnenmacher, Maciej Zworski
Journal:
Acta Mathematica
Year:
2009
Language:
english
File:
PDF, 1.06 MB
english, 2009
31

Harmonic functions of polynomial growth on certain complete manifolds

Tanya Christiansen, Maciej Zworski
Journal:
Geometric And Functional Analysis
Year:
1996
Language:
english
File:
PDF, 370 KB
english, 1996
32

Scattering matrix in conformal geometry

C. Robin Graham, Maciej Zworski
Journal:
Inventiones mathematicae
Year:
2003
Language:
english
File:
PDF, 469 KB
english, 2003
33

Sharp polynomial bounds on the number of scattering poles of radial potentials

Maciej Zworski
Journal:
Journal of Functional Analysis
Year:
1989
Language:
english
File:
PDF, 1.18 MB
english, 1989
34

From Open Quantum Systems to Open Quantum Maps

Stéphane Nonnenmacher, Johannes Sjöstrand, Maciej Zworski
Journal:
Communications in Mathematical Physics
Year:
2011
Language:
english
File:
PDF, 1.03 MB
english, 2011
35

A Local Trace Formula for Anosov Flows

Jin, Long, Zworski, Maciej
Journal:
Annales Henri Poincaré
Year:
2017
Language:
english
File:
PDF, 858 KB
english, 2017
36

Fractal Uncertainty for Transfer Operators

Dyatlov, Semyon, Zworski, Maciej
Journal:
International Mathematics Research Notices
Year:
2018
Language:
english
File:
PDF, 785 KB
english, 2018
37

Existence of resonances in potential scattering

Antônio Sá Barreto, Maciej Zworski
Journal:
Communications on Pure and Applied Mathematics
Year:
1996
Language:
english
File:
PDF, 348 KB
english, 1996
38

A quantitative version of Catlin-D’Angelo–Quillen theorem

Alexis Drouot, Maciej Zworski
Journal:
Analysis and Mathematical Physics
Year:
2013
Language:
english
File:
PDF, 272 KB
english, 2013
39

Lower bounds on the number of scattering poles

Sjöstrand, Johannes, Zworski, Maciej
Journal:
Communications in Partial Differential Equations
Year:
1993
Language:
english
File:
PDF, 433 KB
english, 1993
40

Quantum ergodicity for restrictions to hypersurfaces

Dyatlov, Semyon, Zworski, Maciej
Journal:
Nonlinearity
Year:
2013
Language:
english
File:
PDF, 248 KB
english, 2013
41

10.1155/S1073792893000303

Froese, Richard, Zworski, Maciej
Journal:
International Mathematics Research Notices
Year:
1993
Language:
english
File:
PDF, 196 KB
english, 1993
42

Bouncing Ball Modes and Quantum Chaos

Burq, Nicolas, Zworski, Maciej
Journal:
SIAM Review
Year:
2005
Language:
english
File:
PDF, 457 KB
english, 2005
43

Trapping of waves and null geodesics for rotating black holes

Dyatlov, S., Zworski, M.
Journal:
Physical Review D
Year:
2013
Language:
english
File:
PDF, 565 KB
english, 2013
44

Resonances and lower resolvent bounds

Datchev, Kiril, Dyatlov, Semyon, Zworski, Maciej
Journal:
Journal of Spectral Theory
Year:
2015
Language:
english
File:
PDF, 265 KB
english, 2015
45

Spacing Between Phase Shifts in a Simple¶Scattering Problem

Steve Zelditch, Maciej Zworski
Journal:
Communications in Mathematical Physics
Year:
1999
Language:
english
File:
PDF, 144 KB
english, 1999
46

Ergodicity of eigenfunctions for ergodic billiards

Steven Zelditch, Maciej Zworski
Journal:
Communications in Mathematical Physics
Year:
1996
Language:
english
File:
PDF, 501 KB
english, 1996
49

Mathematical study of scattering resonances

Zworski, Maciej
Journal:
Bulletin of Mathematical Sciences
Year:
2017
Language:
english
File:
PDF, 4.99 MB
english, 2017
50

On the Representation of P0-Lattices Being P-Algebras

Klukowski, Julian, Zworski, Maciej
Journal:
Demonstratio Mathematica
Year:
1985
Language:
english
File:
PDF, 745 KB
english, 1985