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Berry, Michael Victor

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Author ID: berry.michael-victor Recent zbMATH articles by "Berry, Michael Victor"
Published as: Berry, M. V.; Berry, Michael; Berry, Michael V.
Homepage: https://michaelberryphysics.wordpress.com/
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all top 5

Co-Authors

87 single-authored
17 Shukla, Pragya
10 Dennis, Mark R.
9 Keating, Jonathan Peter
8 Howls, Christopher John
4 Hannay, J. H.
4 Klein, Susanne
3 Bender, Carl M.
3 Mondragón, Raúl J.
3 Popescu, Sandu
3 Robnik, Marko
2 Balazs, Nandor L.
2 Barnsley, Michael Fielding
2 Falconer, Kenneth J.
2 Frame, Michael Lee
2 Ishio, Hiromu
2 Mumford, David Bryant
2 O’Dell, D. H. J.
2 Percival, Ian C.
2 Stewart, Ian Nicholas
2 Tabor, Michael
2 Weiss, Nigel O.
1 Ahmed, Zafar
1 Atiyah, Michael Francis
1 Barrallo, Javier
1 Bhandari, Rajendra
1 Bloembergen, Nicolaas
1 Brothers, Harlan J.
1 Brunner, Nicolas
1 Burke, Kieron
1 Cohen, Nathan
1 Coppens, Marc-Olivier
1 Cybenko, George
1 de Hoop, Adrianus T.
1 de Lang, H.
1 de Meijere, J. L. F.
1 Drury, Luke O’Connor
1 Duistermaat, Johannes Jisse
1 Durrans, R. F.
1 Eglash, Ron
1 Ferweda, H. A.
1 Fishman, Shmuel
1 Furstenberg, Hillel
1 Goldschmith, Brendan
1 Howe, Roger Evans
1 Indekeu, Joseph O.
1 Jaffard, Stéphane
1 Jaffe, Arthur Michael
1 Jeffery, Ross
1 Jeffrey, Mike R.
1 Khesin, Boris A.
1 Khovanskiĭ, Askold Georgievich
1 Korsch, Hans Jürgen
1 Kuiken, Hendrik K.
1 Lesmoir-Gordon, Nigel
1 Lewis, Z. V.
1 Lunney, J. G.
1 Mandilara, Aikaterini D.
1 McRoberts, B.
1 Meisinger, Peter N.
1 Morley-Short, S.
1 Nye, John F.
1 Prado, Sandra D.
1 Richens, P. J.
1 Savage, Van M.
1 Schomerus, Henning
1 Schweizer, Wolfgang
1 Sevryuk, Mikhail Borisovich
1 Shelankov, Andrei
1 Simsek, Mehmet
1 Sinclair, E. C.
1 Smale, Steve
1 Smilansky, Uzy
1 Souriau, Jean-Marie
1 Tabachnikov, Serge L.
1 Uzdin, Raam
1 Varchenko, Alexander Nikolaevich
1 West, Bruce J.
1 Wills, H. H.
1 Wolf, Emil
1 Wright, Francis J.
1 Wunner, Günter
1 Zeller, Gabriela

Publications by Year

Citations contained in zbMATH Open

141 Publications have been cited 2,453 times in 1,838 Documents Cited by Year
Quantal phase factors accompanying adiabatic changes. Zbl 1113.81306
Berry, M. V.
571
1984
Regular and irregular semiclassical wavefunctions. Zbl 0377.70014
Berry, M. V.
138
1977
Level clustering in the regular spectrum. Zbl 1119.81395
Berry, M. V.; Tabor, M.
104
1977
The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036
Berry, M. V.; Keating, Jonathan P.
73
1999
Semiclassical theory of spectral rigidity. Zbl 0875.35061
Berry, M. V.
67
1985
Hyperasymptotics for integrals with saddles. Zbl 0764.30031
Berry, M. V.; Howls, C. J.
64
1991
On the Weierstrass-Mandelbrot fractal function. Zbl 0435.28008
Berry, M. V.; Lewis, Z. V.
60
1980
Uniform asymptotic smoothing of Stokes’ discontinuities. Zbl 0683.33004
Berry, M. V.
60
1989
Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating. Zbl 1194.81107
Hannay, J. H.; Berry, M. V.
58
1980
Semi-classical mechanics in phase space: A study of Wigner’s function. Zbl 0421.70020
Berry, M. V.
54
1977
Classical adiabatic angles and quantal adiabatic phase. Zbl 0569.70020
Berry, M. V.
51
1985
Dislocations in wave trains. Zbl 0289.76046
Nye, J. F.; Berry, M. V.
42
1974
Transitionless quantum driving. Zbl 1178.81055
Berry, M. V.
42
2009
Hyperasymptotics. Zbl 0745.34052
Berry, M. V.; Howls, C. J.
40
1990
Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature. Zbl 1044.81047
Berry, M. V.
39
2002
Diabolical points in the spectra of triangles. Zbl 1113.81307
Berry, M. V.; Wilkinson, M.
35
1984
Pseudointegrable systems in classical and quantum mechanics. Zbl 1194.37150
Richens, P. J.; Berry, M. V.
35
1981
Evolution of quantum superoscillations and optical superresolution without evanescent waves. Zbl 1122.81029
Berry, M. V.; Popescu, S.
35
2006
A rule for quantizing chaos? Zbl 0715.58043
Berry, M. V.; Keating, J. P.
35
1990
Stokes’ phenomenon; smoothing a Victorian discontinuity. Zbl 0701.58012
Berry, M. V.
29
1988
A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048
Berry, M. V.; Keating, Jonathan P.
27
1992
Evanescent and real waves in quantum billiards and Gaussian beams. Zbl 0843.58087
Berry, M. V.
27
1994
Generalized \(PT\) symmetry and real spectra. Zbl 1066.81537
Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini
27
2002
Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472
Berry, M. V.; Dennis, M. R.
26
2009
Quantum fractals in boxes. Zbl 0910.60087
Berry, M. V.
25
1996
Integer, fractional and fractal Talbot effects. Zbl 0941.78524
Berry, M. V.; Klein, S.
25
1996
Phase singularities in isotropic random waves. Zbl 0978.35072
Berry, M. V.; Dennis, M. R.
24
2000
Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084
Berry, M. V.; Robbins, J. M.
24
1997
Renormalisation of curlicues. Zbl 0662.10029
Berry, M. V.; Goldberg, J.
23
1988
Semiclassical formula for the number variance of the Riemann zeros. Zbl 0664.10022
Berry, M. V.
23
1988
Classical billiards in magnetic fields. Zbl 0569.70022
Robnik, M.; Berry, M. V.
20
1985
Semiclassical level spacings when regular and chaotic orbits coexist. Zbl 1188.81103
Berry, M. V.; Robnik, M.
20
1984
Evolution of semiclassical quantum states in phase space. Zbl 0396.70018
Berry, M. V.; Balazs, N. L.
19
1979
The adiabatic phase and Pancharatnam’s phase for polarized light. Zbl 0941.81542
Berry, M. V.
18
1987
Diffractals. Zbl 0407.60100
Berry, M. V.
18
1979
Exact nonparaxial transmission of subwavelength detail using superoscillations. Zbl 1266.78011
Berry, M. V.
18
2013
Classical non-adiabatic angles. Zbl 0646.70010
Berry, M. V.; Hannay, J. H.
17
1988
Focused tsunami waves. Zbl 1158.86001
Berry, M. V.
16
2007
Pointer supershifts and superoscillations in weak measurements. Zbl 1247.81020
Berry, M. V.; Shukla, Pragya
15
2012
Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians. Zbl 1034.81018
Bender, Carl M.; Berry, Michael; Meisinger, Peter N.; Savage, Van M.; Simsek, Mehmet
14
2001
Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016
Berry, M. V.; Dennis, M. R.
14
2001
Hyperbolic Householder algorithms for factoring structured matrices. Zbl 0726.65025
Cybenko, G.; Berry, M.
13
1990
Representing superoscillations and narrow Gaussians with elementary functions. Zbl 1383.42006
Berry, M. V.
11
2016
High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits, and the Stokes phenomenon. Zbl 0826.58032
Berry, M. V.; Howls, C. J.
11
1994
The Riemann-Siegel expansion for the zeta function: high orders and remainders. Zbl 0842.11030
Berry, M. V.
11
1995
Principles of cosmology and gravitation. Reprinted from the 1st ed. 1976. Zbl 0692.53027
Berry, Michael
9
1989
Unfolding the high orders of asymptotic expansions with coalescing saddles: Singularity theory, crossover and duality. Zbl 0803.58008
Berry, M. V.; Howls, C. J.
9
1993
Quantum chaology, not quantum chaos. Zbl 1063.81572
Berry, Michael
9
1989
Focusing and twinkling: Critical exponents from catastrophes in non- Gaussian problem short waves. Zbl 0382.58008
Berry, M. V.
9
1977
Phase-space projection identities for diffraction catastrophes. Zbl 0422.58011
Berry, M. V.; Wright, F. J.
9
1980
Umbilic points on Gaussian random surfaces. Zbl 0445.53002
Berry, M. V.; Hannay, J. H.
9
1977
Tuck’s incompressibility function: statistics for zeta zeros and eigenvalues. Zbl 1170.82002
Berry, M. V.; Shukla, P.
9
2008
A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172
Berry, M. V.; Keating, J. P.
9
2011
The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500
Berry, M. V.; Dennis, M. R.
8
2003
Classical dynamics with curl forces, and motion driven by time-dependent flux. Zbl 1273.82040
Berry, M. V.; Shukla, Pragya
8
2012
Infinitely many Stokes smoothings in the gamma function. Zbl 0729.33002
Berry, M. V.
8
1991
Umbilic points on Gaussian random surfaces. Zbl 0435.53002
Berry, M. V.; Hannay, J. H.
7
1977
Hermitian boundary conditions at a Dirichlet singularity: The Marletta–Rozenblum model. Zbl 1162.81018
Berry, M. V.
7
2009
Physical curl forces: dipole dynamics near optical vortices. Zbl 1290.78005
Berry, M. V.; Shukla, Pragya
7
2013
Hamiltonian curl forces. Zbl 1371.82063
Berry, M. V.; Shukla, Pragya
6
2015
Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088
Berry, M. V.; Keating, Jonathan P.
6
1994
Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals. Zbl 0788.65018
Berry, M. V.; Howls, C. J.
5
1994
Reflectionless potentials and \({\mathcal{PT}}\) symmetry. Zbl 1081.81108
Ahmed, Zafar; Bender, Carl M.; Berry, M. V.
5
2005
Universal oscillations of high derivatives. Zbl 1139.30315
Berry, M. V.
5
2005
Diffraction by volume gratings with imaginary potentials. Zbl 0905.35089
Berry, M. V.; O’Dell, D. H. J.
5
1998
Universal power-law tails for singularity-dominated strong fluctuations. Zbl 0519.58022
Berry, M. V.
5
1982
Some geometric aspects of wave motion: wavefront dislocations, diffraction catastrophes, diffractals. Zbl 0437.73014
Berry, M. V.
5
1980
Random renormalization in the semiclassical long-time limit of a precessing spin. Zbl 0667.10026
Berry, M. V.
5
1988
Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033
Berry, M. V.; Dennis, M. R.
5
2008
Evolution of Wigner’s phase-space density under a nonintegrable quantum map. Zbl 1194.81108
Korsch, H. J.; Berry, M. V.
5
1981
Can apparent superluminal neutrino speeds be explained as a quantum weak measurement? Zbl 1236.81016
Berry, M. V.; Brunner, N.; Popescu, S.; Shukla, P.
5
2011
Typical weak and superweak values. Zbl 1196.81093
Berry, M. V.; Shukla, P.
5
2010
Optical lattices with PT symmetry are not transparent. Zbl 1140.81471
Berry, M. V.
5
2008
Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015
Berry, M. V.; Keating, Jonathan P.
5
2002
Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166
Berry, M. V.; Dennis, M. R.
5
2007
Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. Zbl 1270.81092
Berry, M. V.; Uzdin, R.
5
2011
The parametric number variance. Zbl 0717.60117
Goldberg, J.; Smilansky, U.; Berry, M. V.; Schweizer, W.; Wunner, G.; Zeller, G.
5
1991
Stokes’s phenomenon for superfactorial asymptotic series. Zbl 0787.40002
Berry, M. V.
4
1991
Waves near Stokes lines. Zbl 0694.34046
Berry, M. V.
4
1990
Five momenta. Zbl 1292.81035
Berry, M. V.
4
2013
Mode degeneracies and the Petermann excess-noise factor for unstable lasers. Zbl 1026.78016
Berry, M. V.
4
2003
Riemann’s zeta function: a model for quantum chaos? Zbl 0664.10021
Berry, M. V.
4
1986
Semiclassical mechanics of regular and irregular motion. Zbl 0571.70018
Berry, Michael
4
1983
Quantum states without time-reversal symmetry: wavefront dislocations in a nonintegrable Aharonov-Bohm billiard. Zbl 0616.58042
Berry, M. V.; Robnik, M.
4
1986
Newtonian trajectories and quantum waves in expanding force fields. Zbl 0617.70014
Berry, M. V.; Klein, G.
4
1984
Superoscillations, endfire and supergain. Zbl 1282.81069
Berry, M. V.
4
2014
Discordance between quantum and classical correlation moments for chaotic systems. Zbl 0755.58068
Robbins, J. M.; Berry, M. V.
3
1992
Phase vortex spirals. Zbl 1284.58008
Berry, M. V.
3
2005
The optical singularities of bianisotropic crystals. Zbl 1186.78011
Berry, M. V.
3
2005
Colored diffraction catastrophes. Zbl 0849.58008
Berry, M. V.; Klein, S.
3
1996
Polarization singularities in isotropic random vector waves. Zbl 0988.78010
Berry, M. V.; Dennis, M. R.
3
2001
Ergodicity in wave-wave diffraction. Zbl 1033.78508
Berry, M. V.; O’Dell, D. H. J.
3
1999
Black plastic sandwiches demonstrating biaxial optical anisotropy. Zbl 1078.78500
Berry, Michael; Bhandari, Rajendra; Klein, Susanne
3
1999
Nodal densities of Gaussian random waves satisfying mixed boundary conditions. Zbl 1066.81013
Berry, M. V.; Ishio, H.
3
2002
Quantum indistinguishability: Alternative constructions of the transported basis. Zbl 1010.81040
Berry, M. V.; Robbins, J. M.
3
2000
Reconnections of wave vortex lines. Zbl 1262.78006
Berry, M. V.; Dennis, M. R.
3
2012
Quantum, classical and semiclassical adiabaticity. Zbl 0667.70023
Berry, M. V.
3
1985
Spectral zeta functions for Aharonov-Bohm quantum billiards. Zbl 0623.58044
Berry, M. V.
3
1986
Quantum backflow, negative kinetic energy, and optical retro-propagation. Zbl 1200.81047
Berry, M. V.
3
2010
Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. Zbl 0997.35097
Berry, M. V.; Dennis, M. R.
3
2001
Geometric phase curvature for random states. Zbl 1411.82034
Berry, M. V.; Shukla, Pragya
1
2018
Suppression of superoscillations by noise. Zbl 1357.81171
Berry, M. V.
2
2017
Dingle’s self-resurgence formula. Zbl 1381.40002
Berry, M. V.
1
2017
Representing fractals by superoscillations. Zbl 1370.28003
Berry, M. V.; Morley-Short, S.
1
2017
Representing superoscillations and narrow Gaussians with elementary functions. Zbl 1383.42006
Berry, M. V.
11
2016
Riemann’s saddle-point method and the Riemann-Siegel formula. Zbl 1358.01030
Berry, M. V.
1
2016
Hamiltonian curl forces. Zbl 1371.82063
Berry, M. V.; Shukla, Pragya
6
2015
Superoscillations, endfire and supergain. Zbl 1282.81069
Berry, M. V.
4
2014
Superoscillations and supershifts in phase space: Wigner and Husimi function interpretations. Zbl 1295.42001
Berry, M. V.; Moiseyev, N.
2
2014
Exact nonparaxial transmission of subwavelength detail using superoscillations. Zbl 1266.78011
Berry, M. V.
18
2013
Physical curl forces: dipole dynamics near optical vortices. Zbl 1290.78005
Berry, M. V.; Shukla, Pragya
7
2013
Five momenta. Zbl 1292.81035
Berry, M. V.
4
2013
Raman and the mirage revisited: confusions and a rediscovery. Zbl 1292.78010
Berry, M. V.
1
2013
Pointer supershifts and superoscillations in weak measurements. Zbl 1247.81020
Berry, M. V.; Shukla, Pragya
15
2012
Classical dynamics with curl forces, and motion driven by time-dependent flux. Zbl 1273.82040
Berry, M. V.; Shukla, Pragya
8
2012
Reconnections of wave vortex lines. Zbl 1262.78006
Berry, M. V.; Dennis, M. R.
3
2012
Causal wave propagation for relativistic massive particles: physical asymptotics in action. Zbl 1266.81057
Berry, M. V.
2
2012
Superluminal speeds for relativistic random waves. Zbl 1247.81110
Berry, M. V.
2
2012
Riemann zeros in radiation patterns. Zbl 1250.78019
Berry, M. V.
2
2012
Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047
Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael
1
2012
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Hearing the music of the primes: auditory complementarity and the siren song of zeta. Zbl 1292.11092
Berry, M. V.
1
2012
A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172
Berry, M. V.; Keating, J. P.
9
2011
Can apparent superluminal neutrino speeds be explained as a quantum weak measurement? Zbl 1236.81016
Berry, M. V.; Brunner, N.; Popescu, S.; Shukla, P.
5
2011
Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. Zbl 1270.81092
Berry, M. V.; Uzdin, R.
5
2011
Slow manifold and Hannay angle in the spinning top. Zbl 1385.70029
Berry, M. V.; Shukla, P.
2
2011
Weak value distributions for spin 1/2. Zbl 1216.81021
Berry, M. V.; Dennis, M. R.; McRoberts, B.; Shukla, P.
1
2011
Typical weak and superweak values. Zbl 1196.81093
Berry, M. V.; Shukla, P.
5
2010
Quantum backflow, negative kinetic energy, and optical retro-propagation. Zbl 1200.81047
Berry, M. V.
3
2010
High-order classical adiabatic reaction forces: slow manifold for a spin model. Zbl 1230.37104
Berry, M. V.; Shukla, P.
2
2010
Semifluxon degeneracy choreography in Aharonov-Bohm billiards. Zbl 1196.81099
Berry, M. V.; Popescu, S.
1
2010
Axial and focal-plane diffraction catastrophe integrals. Zbl 1200.78006
Berry, M. V.; Howls, C. J.
1
2010
Transitionless quantum driving. Zbl 1178.81055
Berry, M. V.
42
2009
Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472
Berry, M. V.; Dennis, M. R.
26
2009
Hermitian boundary conditions at a Dirichlet singularity: The Marletta–Rozenblum model. Zbl 1162.81018
Berry, M. V.
7
2009
Spacing distributions for real symmetric \(2 \times 2\) generalized Gaussian ensembles. Zbl 1189.15042
Berry, M. V.; Shukla, P.
1
2009
Tuck’s incompressibility function: statistics for zeta zeros and eigenvalues. Zbl 1170.82002
Berry, M. V.; Shukla, P.
9
2008
Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033
Berry, M. V.; Dennis, M. R.
5
2008
Optical lattices with PT symmetry are not transparent. Zbl 1140.81471
Berry, M. V.
5
2008
Three quantum obsessions. Zbl 1192.81164
Berry, M. V.
2
2008
Focused tsunami waves. Zbl 1158.86001
Berry, M. V.
16
2007
Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166
Berry, M. V.; Dennis, M. R.
5
2007
Evolution of quantum superoscillations and optical superresolution without evanescent waves. Zbl 1122.81029
Berry, M. V.; Popescu, S.
35
2006
Conical diffraction: observations and theory. Zbl 1149.78307
Berry, M. V.; Jeffrey, M. R.; Lunney, J. G.
1
2006
Reflectionless potentials and \({\mathcal{PT}}\) symmetry. Zbl 1081.81108
Ahmed, Zafar; Bender, Carl M.; Berry, M. V.
5
2005
Universal oscillations of high derivatives. Zbl 1139.30315
Berry, M. V.
5
2005
Phase vortex spirals. Zbl 1284.58008
Berry, M. V.
3
2005
The optical singularities of bianisotropic crystals. Zbl 1186.78011
Berry, M. V.
3
2005
Nodal-line densities of chaotic quantum billiard modes satisfying mixed boundary conditions. Zbl 1072.81021
Berry, M. V.; Ishio, H.
2
2005
The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500
Berry, M. V.; Dennis, M. R.
8
2003
Mode degeneracies and the Petermann excess-noise factor for unstable lasers. Zbl 1026.78016
Berry, M. V.
4
2003
Making light of mathematics. Zbl 1025.78001
Berry, Michael
2
2003
Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature. Zbl 1044.81047
Berry, M. V.
39
2002
Generalized \(PT\) symmetry and real spectra. Zbl 1066.81537
Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini
27
2002
Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015
Berry, M. V.; Keating, Jonathan P.
5
2002
Nodal densities of Gaussian random waves satisfying mixed boundary conditions. Zbl 1066.81013
Berry, M. V.; Ishio, H.
3
2002
Exuberant interference: rainbows, tides, edges (de)coherence …. Zbl 1254.78003
Berry, M. V.
3
2002
Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians. Zbl 1034.81018
Bender, Carl M.; Berry, Michael; Meisinger, Peter N.; Savage, Van M.; Simsek, Mehmet
14
2001
Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016
Berry, M. V.; Dennis, M. R.
14
2001
Polarization singularities in isotropic random vector waves. Zbl 0988.78010
Berry, M. V.; Dennis, M. R.
3
2001
Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. Zbl 0997.35097
Berry, M. V.; Dennis, M. R.
3
2001
Asymptotics of evanescence. Zbl 1008.78003
Berry, M. V.
2
2001
Phase singularities in isotropic random waves. Zbl 0978.35072
Berry, M. V.; Dennis, M. R.
24
2000
Quantum indistinguishability: Alternative constructions of the transported basis. Zbl 1010.81040
Berry, M. V.; Robbins, J. M.
3
2000
Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Zbl 0967.81025
Berry, M. V.; Keating, Jonathan P.; Schomerus, H.
2
2000
The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036
Berry, M. V.; Keating, Jonathan P.
73
1999
Ergodicity in wave-wave diffraction. Zbl 1033.78508
Berry, M. V.; O’Dell, D. H. J.
3
1999
Black plastic sandwiches demonstrating biaxial optical anisotropy. Zbl 1078.78500
Berry, Michael; Bhandari, Rajendra; Klein, Susanne
3
1999
A theta-like sum from diffraction physics. Zbl 0946.81036
Berry, M. V.
2
1999
Aharonov-Bohm beam deflection: Shelankov’s formula, exact solution, asymptotics and an optical analogue. Zbl 0953.81022
Berry, M. V.
2
1999
The Aharonov-Bohm wave and the Cornu spiral. Zbl 0966.81023
Berry, M. V.; Shelankov, A.
1
1999
Diffraction by volume gratings with imaginary potentials. Zbl 0905.35089
Berry, M. V.; O’Dell, D. H. J.
5
1998
Orbit bifurcations and spectral statistics. Zbl 1001.81519
Berry, M. V.; Keating, Jonathan P.; Prado, S. D.
2
1998
Lop-sided diffraction by absorbing crystals. Zbl 0932.81036
Berry, M. V.
2
1998
Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084
Berry, M. V.; Robbins, J. M.
24
1997
Geometric magnetism in massive chaotic billiards. Zbl 0916.58023
Berry, M. V.; Sinclair, E. C.
1
1997
Quantum and optical arithmetic and fractals. Zbl 1058.81546
Berry, M. V.
1
1997
Quantum fractals in boxes. Zbl 0910.60087
Berry, M. V.
25
1996
Integer, fractional and fractal Talbot effects. Zbl 0941.78524
Berry, M. V.; Klein, S.
25
1996
Colored diffraction catastrophes. Zbl 0849.58008
Berry, M. V.; Klein, S.
3
1996
Geometric angle for rotated rotators, and the Hannay angle of the world. Zbl 0925.70174
Berry, M. V.; Morgan, M. A.
2
1996
Geometric phases from stacks of crystal plates. Zbl 0941.78511
Berry, M. V.; Klein, S.
2
1996
The Riemann-Siegel expansion for the zeta function: high orders and remainders. Zbl 0842.11030
Berry, M. V.
11
1995
Evanescent and real waves in quantum billiards and Gaussian beams. Zbl 0843.58087
Berry, M. V.
27
1994
High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits, and the Stokes phenomenon. Zbl 0826.58032
Berry, M. V.; Howls, C. J.
11
1994
Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088
Berry, M. V.; Keating, Jonathan P.
6
1994
Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals. Zbl 0788.65018
Berry, M. V.; Howls, C. J.
5
1994
Unfolding the high orders of asymptotic expansions with coalescing saddles: Singularity theory, crossover and duality. Zbl 0803.58008
Berry, M. V.; Howls, C. J.
9
1993
A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048
Berry, M. V.; Keating, Jonathan P.
27
1992
Discordance between quantum and classical correlation moments for chaotic systems. Zbl 0755.58068
Robbins, J. M.; Berry, M. V.
3
1992
Hyperasymptotics for integrals with saddles. Zbl 0764.30031
Berry, M. V.; Howls, C. J.
64
1991
Infinitely many Stokes smoothings in the gamma function. Zbl 0729.33002
Berry, M. V.
8
1991
The parametric number variance. Zbl 0717.60117
Goldberg, J.; Smilansky, U.; Berry, M. V.; Schweizer, W.; Wunner, G.; Zeller, G.
5
1991
Stokes’s phenomenon for superfactorial asymptotic series. Zbl 0787.40002
Berry, M. V.
4
1991
Hyperasymptotics. Zbl 0745.34052
Berry, M. V.; Howls, C. J.
40
1990
A rule for quantizing chaos? Zbl 0715.58043
Berry, M. V.; Keating, J. P.
35
1990
Hyperbolic Householder algorithms for factoring structured matrices. Zbl 0726.65025
Cybenko, G.; Berry, M.
13
1990
Waves near Stokes lines. Zbl 0694.34046
Berry, M. V.
4
1990
Stokes surfaces of diffraction catastrophes with codimension three. Zbl 0706.65133
Berry, M. V.; Howls, C. J.
2
1990
Fake Airy functions and the asymptotics of reflectionlessness. Zbl 0712.33004
Berry, M. V.; Howls, C. J.
1
1990
...and 41 more Documents
all top 5

Cited by 2,609 Authors

33 Yu, Zhaoxian
24 Jiao, Zhiyong
24 Wigman, Igor
23 Colombo, Fabrizio
18 Berry, Michael Victor
17 Aharonov, Yakir
17 Struppa, Daniele Carlo
16 Sabadini, Irene
14 Dobrokhotov, Sergei Yurievich
14 Keating, Jonathan Peter
12 Lustri, Christopher J.
12 Paris, Richard Bruce
11 Rudnick, Zeév
11 Xue, Kang
10 Liu, Fuping
10 Marinucci, Domenico
10 Wang, Gangcheng
9 Dunne, Gerald V.
9 Marklof, Jens
9 Mukunda, Narasimhaiengar
9 Nemes, Gergő
9 Rossi, Maurizia
9 Ünsal, Mithat
8 Cammarota, Valentina
8 Karasev, Mikhail Vladimirovich
8 Mostafazadeh, Ali
8 Sun, Chunfang
8 Wang, Zisheng
7 Chaturvedi, Subhash
7 Domitrz, Wojciech
7 Kurlberg, Pär
7 Nesterov, Alexander I.
7 Smilansky, Uzy
7 Wang, Anling
7 Zelditch, Steve
6 Bakke, Knut
6 Beliaev, Dmitri B.
6 Bolte, Jens
6 Schleich, Wolfgang P.
6 Vega, Luis
6 Zhou, Songping
6 Zwierzyński, Michał
5 Avron, Joseph E.
5 Bender, Carl M.
5 Bliokh, Konstantin Yu.
5 Cheon, Taksu
5 Costin, Ovidiu
5 Delabaere, Eric
5 Guha, Partha
5 Hu, Taotao
5 Iwai, Toshihiro
5 Lebowitz, Joel Louis
5 Leyvraz, Francois
5 Malkoun, Joseph
5 Marmo, Giuseppe
5 Mezzadri, Francesco
5 Muirhead, Stephen
5 Nazaikinskii, Vladimir E.
5 Olver, Peter John
5 Ozorio de Almeida, Alfredo M.
5 Simon, Barry
5 Sjöqvist, Erik
5 Tanner, Gregor K.
5 Tirozzi, Brunello
5 Tomsovic, Steven
5 Viennot, David
5 Xia, Yan
5 Xu, Hualan
5 Xu, Shuaixia
5 Yesha, Nadav
5 Yger, Alain
5 Zaharescu, Alexandru
5 Zaslavskiĭ, Georgiĭ Moiseevich
5 Zhao, Yuqiu
4 Agam, Oded
4 Aurich, Ralf
4 Bleher, Pavel M.
4 Bourgain, Jean
4 Boya, Luis Joaquín
4 Boyd, John Philip
4 Caliceti, Emanuela
4 Chapman, Stephen Jonathan
4 Chen, Ye-Hong
4 Creagh, Stephen C.
4 Cvitanović, Predrag
4 Dai, Dan
4 De Bièvre, Stephan
4 de M. Rios, Pedro
4 Dennis, Mark R.
4 Eceizabarrena, Daniel
4 Ercolessi, Elisa
4 Eswarathasan, Suresh
4 Exner, Pavel
4 Forrester, Peter J.
4 Fu, Guolan
4 Furtado, Claudio
4 Fyodorov, Yan V.
4 Gomez, Ignacio S.
4 Gradoni, Gabriele
4 He, Guolong
...and 2,509 more Authors
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Cited in 285 Serials

161 Journal of Mathematical Physics
110 International Journal of Theoretical Physics
86 Communications in Mathematical Physics
63 Journal of High Energy Physics
60 Physical Review Letters
44 Quantum Information Processing
43 Chaos
39 New Journal of Physics
37 Journal of Statistical Physics
37 Journal of Physics A: Mathematical and Theoretical
32 Physica D
31 International Journal of Modern Physics B
29 Physics Letters. A
28 Foundations of Physics
27 Journal of Modern Optics
24 Chaos, Solitons and Fractals
22 Journal of Computational and Applied Mathematics
21 Journal of Geometry and Physics
21 International Journal of Geometric Methods in Modern Physics
19 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
18 International Journal of Modern Physics A
16 Theoretical and Mathematical Physics
16 Wave Motion
15 Russian Journal of Mathematical Physics
14 Nuclear Physics. B
14 Annales Henri Poincaré
14 Physical Review A, Third Series
13 Modern Physics Letters A
13 Modern Physics Letters B
13 Letters in Mathematical Physics
13 Physics Reports
13 Duke Mathematical Journal
12 Journal of Statistical Mechanics: Theory and Experiment
11 Journal of Fluid Mechanics
11 Mathematics of Computation
11 Transactions of the American Mathematical Society
11 Quantum Studies: Mathematics and Foundations
11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
10 General Relativity and Gravitation
10 Journal of Mathematical Analysis and Applications
9 Nonlinearity
9 Annales de l’Institut Fourier
9 Annals of Physics
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of Mathematical Sciences (New York)
9 International Journal of Wavelets, Multiresolution and Information Processing
8 Physics Letters. B
8 Reviews in Mathematical Physics
8 Advances in Mathematics
8 Journal of Functional Analysis
8 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 Bulletin of the American Mathematical Society. New Series
7 Annales de l’Institut Henri Poincaré. Physique Théorique
7 International Journal of Modern Physics D
7 Fractals
7 International Journal of Quantum Information
6 Acta Mechanica
6 Classical and Quantum Gravity
6 Physica A
6 The Journal of Fourier Analysis and Applications
6 Nonlinear Dynamics
6 The European Physical Journal B. Condensed Matter and Complex Systems
5 European Journal of Physics
5 Fortschritte der Physik
5 Geometriae Dedicata
5 Journal of Number Theory
5 Mathematische Annalen
5 Studies in Applied Mathematics
5 Acta Applicandae Mathematicae
5 The Journal of Geometric Analysis
5 Annals of Mathematics. Second Series
5 Czechoslovak Journal of Physics
5 Analysis and Applications (Singapore)
4 Applicable Analysis
4 Journal of Computational Physics
4 Mathematical Notes
4 Reports on Mathematical Physics
4 Applied Mathematics and Computation
4 Journal of Differential Equations
4 Mathematische Nachrichten
4 Proceedings of the American Mathematical Society
4 Quarterly of Applied Mathematics
4 Ergodic Theory and Dynamical Systems
4 Probability Theory and Related Fields
4 Geometric and Functional Analysis. GAFA
4 Proceedings of the National Academy of Sciences of the United States of America
4 Experimental Mathematics
4 St. Petersburg Mathematical Journal
4 Electronic Journal of Probability
4 Communications in Nonlinear Science and Numerical Simulation
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 SIAM Journal on Applied Dynamical Systems
4 The European Physical Journal C. Particles and Fields
4 Proceedings of the Steklov Institute of Mathematics
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Advances in Mathematical Physics
4 Annalen der Physik
3 Israel Journal of Mathematics
3 Journal of Engineering Mathematics
...and 185 more Serials
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Cited in 62 Fields

1,043 Quantum theory (81-XX)
241 Dynamical systems and ergodic theory (37-XX)
217 Partial differential equations (35-XX)
205 Statistical mechanics, structure of matter (82-XX)
170 Number theory (11-XX)
153 Global analysis, analysis on manifolds (58-XX)
140 Differential geometry (53-XX)
122 Optics, electromagnetic theory (78-XX)
112 Probability theory and stochastic processes (60-XX)
97 Mechanics of particles and systems (70-XX)
91 Ordinary differential equations (34-XX)
91 Relativity and gravitational theory (83-XX)
82 Special functions (33-XX)
69 Fluid mechanics (76-XX)
58 Operator theory (47-XX)
54 Measure and integration (28-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
43 Functions of a complex variable (30-XX)
43 Numerical analysis (65-XX)
40 Approximations and expansions (41-XX)
32 Statistics (62-XX)
31 Manifolds and cell complexes (57-XX)
31 Mechanics of deformable solids (74-XX)
30 Algebraic geometry (14-XX)
29 Functional analysis (46-XX)
28 Real functions (26-XX)
24 Topological groups, Lie groups (22-XX)
22 Information and communication theory, circuits (94-XX)
21 Computer science (68-XX)
19 Several complex variables and analytic spaces (32-XX)
18 Group theory and generalizations (20-XX)
17 General and overarching topics; collections (00-XX)
16 Difference and functional equations (39-XX)
15 Nonassociative rings and algebras (17-XX)
15 Algebraic topology (55-XX)
13 Biology and other natural sciences (92-XX)
12 Geophysics (86-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 History and biography (01-XX)
9 Combinatorics (05-XX)
8 Integral transforms, operational calculus (44-XX)
8 Convex and discrete geometry (52-XX)
8 Astronomy and astrophysics (85-XX)
7 Integral equations (45-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Systems theory; control (93-XX)
6 Associative rings and algebras (16-XX)
5 Abstract harmonic analysis (43-XX)
5 Geometry (51-XX)
4 Mathematical logic and foundations (03-XX)
4 Potential theory (31-XX)
3 Commutative algebra (13-XX)
3 Sequences, series, summability (40-XX)
2 Field theory and polynomials (12-XX)
2 \(K\)-theory (19-XX)
2 General topology (54-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

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