-
1
-
-
42549083917
-
Semi-classical wavefront set and Fourier integral operators
-
I. Alexandrova Semi-classical wavefront set and Fourier integral operators, Can. J. Math. 60: 2 (2008), 241-263.
-
(2008)
Can. J. Math.
, vol.60
, Issue.2
, pp. 241-263
-
-
Alexandrova, I.1
-
2
-
-
0002705160
-
Hausdorff dimension and Kleinian groups
-
C. J. Bishop and P. W. Jones Hausdorff dimension and Kleinian groups, Acta Math., 179: 1 (1997), 1-39.
-
(1997)
Acta Math.
, vol.179
, Issue.1
, pp. 1-39
-
-
Bishop, C.J.1
Jones, P.W.2
-
3
-
-
0003126597
-
Espaces fonctionnels associés au calcul de Weyl-Hörmander
-
J.-M. Bony and J.-Y. Chemin Espaces fonctionnels associés au calcul de Weyl-Hörmander, Bull. Soc. Math. France 122: 1 (1994), 77-118.
-
(1994)
Bull. Soc. Math. France
, vol.122
, Issue.1
, pp. 77-118
-
-
Bony, J.-M.1
Chemin, J.-Y.2
-
4
-
-
0035993972
-
Scattering poles for asymptotically hyperbolic manifolds
-
D. Borthwick and P. Perry Scattering poles for asymptotically hyperbolic manifolds, Trans. Amer. Math. Soc. 354: 3 (2002), 1215-1231.
-
(2002)
Trans. Amer. Math. Soc
, vol.354
, Issue.3
, pp. 1215-1231
-
-
Borthwick, D.1
Perry, P.2
-
5
-
-
51249186941
-
Hausdorff dimension of quasi-circles, Inst
-
Bowen R.: Hausdorff dimension of quasi-circles, Inst. Hautes Etudes Sci. Publ. Math. 50, 11-25 (1979).
-
(1979)
Hautes Etudes Sci. Publ. Math.
, vol.50
, pp. 11-25
-
-
Bowen, R.1
-
6
-
-
0033422076
-
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
-
(2)
-
U. Bunke and M. Olbrich, Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group, Ann. of Math. (2) 149: 2 (1999), 627-689.
-
(1999)
Ann. of Math.
, vol.149
, Issue.2
, pp. 627-689
-
-
Bunke, U.1
Olbrich, M.2
-
7
-
-
84873545614
-
Propagation through trapped sets and semiclassical resolvent estimates
-
K. Datchev and A. Vasy, Propagation through trapped sets and semiclassical resolvent estimates, Ann. Inst. Fourier (Grenoble) 62: 6 (2012), 2347-2377.
-
(2012)
Ann. Inst. Fourier (Grenoble)
, vol.62
, Issue.6
, pp. 2347-2377
-
-
Datchev, K.1
Vasy, A.2
-
9
-
-
84862128000
-
Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
-
S. Dyatlov, Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes, Ann. Henri Poincaré, 13: 5 (2012), 1101-1156.
-
(2012)
Ann. Henri Poincare
, vol.13
, Issue.5
, pp. 1101-1156
-
-
Dyatlov, S.1
-
13
-
-
0001407441
-
The zeta functions of Ruelle and Selberg
-
D. Fried, The zeta functions of Ruelle and Selberg Ann. Ecole Norm. Sup. 19: 4 (1986), 491-517.
-
(1986)
Ann. Ecole Norm. Sup.
, vol.19
, Issue.4
, pp. 491-517
-
-
Fried, D.1
-
14
-
-
84880514764
-
-
undergraduate thesis, Emory University
-
J. K. Geerlings, Limit sets of Kleinian groups: properties, parameters, and pictures, undergraduate thesis, Emory University, (2009) http://pid. emory. edu/ark:/25593/1b7z9.
-
(2009)
Limit sets of Kleinian groups: Properties, parameters, and pictures
-
-
Geerlings, J.K.1
-
15
-
-
0001716466
-
Semiclassical resonances generated by a closed trajectory of hyperbolic type
-
C. Gérard and J. Sjöstrand, Semiclassical resonances generated by a closed trajectory of hyperbolic type, Comm. Math. Phys. 108: 3 (1987), 391-421.
-
(1987)
Comm. Math. Phys.
, vol.108
, Issue.3
, pp. 391-421
-
-
Gérard, C.1
Sjöstrand, J.2
-
16
-
-
0037596450
-
Scattering matrix in conformal geometry
-
C. R. Graham and M. Zworski, Scattering matrix in conformal geometry, Invent. Math. 152: 1 (2003), 89-118.
-
(2003)
Invent. Math.
, vol.152
, Issue.1
, pp. 89-118
-
-
Graham, C.R.1
Zworski, M.2
-
17
-
-
0003253881
-
Microlocal analysis for differential operators: an introduction
-
Cambridge University Press
-
A. Grigis and J. Sjöstrand, Microlocal analysis for differential operators: an introduction, London Mathematical Society Lecture Note Series, 196, Cambridge University Press (1994).
-
(1994)
London Mathematical Society Lecture Note Series
, vol.196
-
-
Grigis, A.1
Sjöstrand, J.2
-
18
-
-
24144449996
-
Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
-
C. Guillarmou, Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds, Duke Math. J. 129: 1 (2005), 1-37.
-
(2005)
Duke Math. J.
, vol.129
, Issue.1
, pp. 1-37
-
-
Guillarmou, C.1
-
19
-
-
17044432690
-
Resonances and scattering poles on asymptotically hyperbolic manifolds
-
C. Guillarmou, Resonances and scattering poles on asymptotically hyperbolic manifolds, Math. Res. Lett. 12: 1 (2005), 103-109.
-
(2005)
Math. Res. Lett.
, vol.12
, Issue.1
, pp. 103-109
-
-
Guillarmou, C.1
-
20
-
-
84855552086
-
Spectral analysis of the Laplacian on geometrically finite hyperbolic manifolds
-
C. Guillarmou and R. Mazzeo, Spectral analysis of the Laplacian on geometrically finite hyperbolic manifolds, Invent. Math. 187: 1 (2012), 99-144.
-
(2012)
Invent. Math.
, vol.187
, Issue.1
, pp. 99-144
-
-
Guillarmou, C.1
Mazzeo, R.2
-
23
-
-
1542403824
-
The Selberg zeta function for convex co-compact Schottky groups
-
L. Guillopé, K. K. Lin and M. Zworski, The Selberg zeta function for convex co-compact Schottky groups, Comm. Math. Phys. 245: 1 (2004), 149-176.
-
(2004)
Comm. Math. Phys.
, vol.245
, Issue.1
, pp. 149-176
-
-
Guillopé, L.1
Lin, K.K.2
Zworski, M.3
-
24
-
-
77950036040
-
Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity
-
L. Guillopé and M. Zworski, Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Asymptotic Anal. 11: 1 (1995), 1-22.
-
(1995)
Asymptotic Anal.
, vol.11
, Issue.1
, pp. 1-22
-
-
Guillopé, L.1
Zworski, M.2
-
25
-
-
0001081330
-
Upper bounds on the number of resonances for non-compact Riemann surfaces
-
L. Guillopé and M. Zworski, Upper bounds on the number of resonances for non-compact Riemann surfaces, J. Funct. Anal. 129: 2 (1995), 364-389.
-
(1995)
J. Funct. Anal.
, vol.129
, Issue.2
, pp. 364-389
-
-
Guillopé, L.1
Zworski, M.2
-
26
-
-
0031486229
-
Scattering asymptotics for Riemann surfaces
-
(2)
-
L. Guillopé and M. Zworski, Scattering asymptotics for Riemann surfaces, Ann. of Math. (2) 145: 3 (1997), 597-660.
-
(1997)
Ann. of Math.
, vol.145
, Issue.3
, pp. 597-660
-
-
Guillopé, L.1
Zworski, M.2
-
28
-
-
84880511796
-
Lower bounds for resonances of infinite-area Riemann surfaces
-
D. Jakobson and F. Naud, Lower bounds for resonances of infinite-area Riemann surfaces, Anal. PDE 3: 2 (2010), 207-225.
-
(2010)
Anal. PDE
, vol.3
, Issue.2
, pp. 207-225
-
-
Jakobson, D.1
Naud, F.2
-
30
-
-
0004117363
-
-
Chicago Lectures in Math., University of Chicago Press
-
S. Katok, Fuchsian groups, Chicago Lectures in Math., University of Chicago Press (1992).
-
(1992)
Fuchsian groups
-
-
Katok, S.1
-
32
-
-
8744307577
-
Fractal Weyl laws for chaotic open systems
-
W. Lu, S. Sridhar and M. Zworski, Fractal Weyl laws for chaotic open systems. Phys. Rev. Lett. 91: 15 (2003), 154101.
-
(2003)
Phys. Rev. Lett.
, vol.91
, Issue.15
, pp. 154101
-
-
Lu, W.1
Sridhar, S.2
Zworski, M.3
-
34
-
-
0001189870
-
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
-
R. R. Mazzeo and R. B. Melrose, Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature, J. Func. Anal. 75: 2 (1987), 260-310.
-
(1987)
J. Func. Anal.
, vol.75
, Issue.2
, pp. 260-310
-
-
Mazzeo, R.R.1
Melrose, R.B.2
-
35
-
-
0000179312
-
Polynomial bounds on the number of scattering poles
-
Melrose R.: Polynomial bounds on the number of scattering poles. J. Funct. Anal. 53, 287-303 (1983).
-
(1983)
J. Funct. Anal.
, vol.53
, pp. 287-303
-
-
Melrose, R.1
-
36
-
-
0002058225
-
Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces, Spectral and scattering theory
-
R. Melrose, Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces, Spectral and scattering theory, Lecture Notes in Pure and Appl. Math. 161 (1994), 85-130.
-
(1994)
Lecture Notes in Pure and Appl. Math.
, vol.161
, pp. 85-130
-
-
Melrose, R.1
-
39
-
-
81855177048
-
Spectral problems in open quantum chaos
-
S. Nonnenmacher, Spectral problems in open quantum chaos, Nonlinearity 24: 12 (2011), R123-R167.
-
(2011)
Nonlinearity
, vol.24
, Issue.12
-
-
Nonnenmacher, S.1
-
40
-
-
79952218957
-
From open quantum systems to open quantum maps
-
S. Nonnenmacher, J. Sjöstrand and M. Zworski, From open quantum systems to open quantum maps, Comm. Math. Phys. 304: 1 (2011), 1-48.
-
(2011)
Comm. Math. Phys.
, vol.304
, Issue.1
, pp. 1-48
-
-
Nonnenmacher, S.1
Sjöstrand, J.2
Zworski, M.3
-
41
-
-
84880507059
-
Fractal Weyl law for open quantum chaotic maps
-
to appear, preprint, arXiv: 1105
-
S. Nonnenmacher, J. Sjöstrand and M. Zworski, Fractal Weyl law for open quantum chaotic maps, to appear in Ann. of Math. (2), preprint, arXiv: 1105. 3128.
-
Ann. of Math
, Issue.2
, pp. 3128
-
-
Nonnenmacher, S.1
Sjöstrand, J.2
Zworski, M.3
-
42
-
-
33845774786
-
Distribution of resonances for open quantum maps
-
S. Nonnenmacher and M. Zworski, Distribution of resonances for open quantum maps, Comm. Math. Phys. 269: 2 (2007), 311-365.
-
(2007)
Comm. Math. Phys.
, vol.269
, Issue.2
, pp. 311-365
-
-
Nonnenmacher, S.1
Zworski, M.2
-
43
-
-
0000131067
-
The limit set of a Fuchsian group
-
S. J. Patterson, The limit set of a Fuchsian group, Acta Math. 136: 1 (1976), 241-273.
-
(1976)
Acta Math.
, vol.136
, Issue.1
, pp. 241-273
-
-
Patterson, S.J.1
-
44
-
-
0001167134
-
The divisor of Selberg's zeta function for Kleinian groups
-
S. J. Patterson and P. A. Perry, The divisor of Selberg's zeta function for Kleinian groups, Duke Math. J. 106: 2 (2001), 321-390.
-
(2001)
Duke Math. J.
, vol.106
, Issue.2
, pp. 321-390
-
-
Patterson, S.J.1
Perry, P.A.2
-
45
-
-
0031539570
-
Distribution of resonances for spherical black holes
-
A. Sá Barreto and M. Zworski, Distribution of resonances for spherical black holes, Math. Res. Lett. 4: 1 (1997), 103-121.
-
(1997)
Math. Res. Lett.
, vol.4
, Issue.1
, pp. 103-121
-
-
Sá Barreto, A.1
Zworski, M.2
-
46
-
-
84974003886
-
Geometric bounds on the density of resonances for semiclassical problems
-
J. Sjöstrand, Geometric bounds on the density of resonances for semiclassical problems, Duke Math. J. 60: 1 (1990), 1-57.
-
(1990)
Duke Math. J.
, vol.60
, Issue.1
, pp. 1-57
-
-
Sjöstrand, J.1
-
48
-
-
34248399658
-
Fractal upper bounds on the density of semiclassical resonances
-
J. Sjöstrand and M. Zworski, Fractal upper bounds on the density of semiclassical resonances, Duke Math. J. 137: 3 (2007), 381-459.
-
(2007)
Duke Math. J.
, vol.137
, Issue.3
, pp. 381-459
-
-
Sjöstrand, J.1
Zworski, M.2
-
49
-
-
51249182653
-
The density at infinity of a discrete group of hyperbolic motions
-
Sullivan D.: The density at infinity of a discrete group of hyperbolic motions. Publ. IHES 50, 172-202 (1979).
-
(1979)
Publ. IHES
, vol.50
, pp. 172-202
-
-
Sullivan, D.1
-
50
-
-
0000144097
-
Entropy, Hausdorff measures new and old and limit sets of geometrically finite Kleinian groups
-
D. Sullivan, Entropy, Hausdorff measures new and old and limit sets of geometrically finite Kleinian groups, Acta Math. 153: 1 (1984), 259-277.
-
(1984)
Acta Math.
, vol.153
, Issue.1
, pp. 259-277
-
-
Sullivan, D.1
-
53
-
-
84939890909
-
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces
-
to appear in, preprint, arXiv: 1012. 4391v2
-
A. Vasy, Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces, to appear in Invent. Math., preprint, arXiv: 1012. 4391v2.
-
Invent. Math.
-
-
Vasy, A.1
-
54
-
-
84880514953
-
Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates
-
A. Vasy, Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates, Inverse Problems and Applications, Inside Out II, Math. Sci. Res. Inst. Publ. 60 (2012), 487-538.
-
(2012)
Inverse Problems and Applications, Inside Out II, Math. Sci. Res. Inst. Publ.
, vol.60
, pp. 487-538
-
-
Vasy, A.1
-
55
-
-
0034349282
-
Semiclassical estimates in asymptotically Euclidean scattering
-
A. Vasy and M. Zworski, Semiclassical estimates in asymptotically Euclidean scattering, Comm. Math. Phys. 212: 1 (2000), 205-217.
-
(2000)
Comm. Math. Phys.
, vol.212
, Issue.1
, pp. 205-217
-
-
Vasy, A.1
Zworski, M.2
-
56
-
-
84880511468
-
Systèmes intégrables semi-classiques: du local au global
-
S. V. Ngc, Systèmes intégrables semi-classiques: du local au global, Panoramas et Synthèses 22, (2006).
-
(2006)
Panoramas et Synthèses
, vol.22
-
-
Ngc, S.V.1
-
57
-
-
0040199721
-
Distribution of resonances for asymptotically Euclidean manifolds
-
J. Wunsch and M. Zworski, Distribution of resonances for asymptotically Euclidean manifolds, J. Diff. Geometry. 55: 1 (2000), 43-82.
-
(2000)
J. Diff. Geometry.
, vol.55
, Issue.1
, pp. 43-82
-
-
Wunsch, J.1
Zworski, M.2
-
58
-
-
80053456378
-
Resolvent estimates for normally hyperbolic trapped sets
-
J. Wunsch and M. Zworski, Resolvent estimates for normally hyperbolic trapped sets, Ann. Henri Poincaré, 12: 7 (2011), 1349-1385.
-
(2011)
Ann. Henri Poincare
, vol.12
, Issue.7
, pp. 1349-1385
-
-
Wunsch, J.1
Zworski, M.2
-
59
-
-
0033473946
-
Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
-
M. Zworski, Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces, Invent. Math. 136: 2 (1999), 353-409.
-
(1999)
Invent. Math.
, vol.136
, Issue.2
, pp. 353-409
-
-
Zworski, M.1
|