Edit Profile (opens in new tab) Berry, Michael Victor Compute Distance To: Compute Author ID: berry.michael-victor Published as: Berry, M. V.; Berry, Michael; Berry, Michael V. more...less Homepage: https://michaelberryphysics.wordpress.com/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 184 Publications since 1966, including 2 Books 2 Contributions as Editor · 2 Further Contributions Co-Authors: 52 Co-Authors with 86 Joint Publications 997 Co-Co-Authors 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 all top 5 Serials 46 Journal of Physics A: Mathematical and Theoretical 45 Journal of Physics A: Mathematical and General 20 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 European Journal of Physics 7 Nonlinearity 5 Physica D 5 Journal of Modern Optics 3 Notices of the American Mathematical Society 2 New Journal of Physics 1 Journal of Statistical Physics 1 Publications Mathématiques 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 SIAM Journal on Matrix Analysis and Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Irish Mathematical Society Bulletin 1 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physica Scripta 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Proceedings of the Physical Society 1 Proceedings A. Royal Society of London all top 5 Fields 97 Quantum theory (81-XX) 41 Optics, electromagnetic theory (78-XX) 26 Dynamical systems and ergodic theory (37-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Partial differential equations (35-XX) 16 Number theory (11-XX) 16 Mechanics of particles and systems (70-XX) 10 Approximations and expansions (41-XX) 9 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 History and biography (01-XX) 8 Fluid mechanics (76-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 4 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 1113.81306Berry, M. V. 571 1984 Regular and irregular semiclassical wavefunctions. Zbl 0377.70014Berry, M. V. 138 1977 Level clustering in the regular spectrum. Zbl 1119.81395Berry, M. V.; Tabor, M. 104 1977 The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036Berry, M. V.; Keating, Jonathan P. 73 1999 Semiclassical theory of spectral rigidity. Zbl 0875.35061Berry, M. V. 67 1985 Hyperasymptotics for integrals with saddles. Zbl 0764.30031Berry, M. V.; Howls, C. J. 64 1991 On the Weierstrass-Mandelbrot fractal function. Zbl 0435.28008Berry, M. V.; Lewis, Z. V. 60 1980 Uniform asymptotic smoothing of Stokes’ discontinuities. Zbl 0683.33004Berry, M. V. 60 1989 Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating. Zbl 1194.81107Hannay, J. H.; Berry, M. V. 58 1980 Semi-classical mechanics in phase space: A study of Wigner’s function. Zbl 0421.70020Berry, M. V. 54 1977 Classical adiabatic angles and quantal adiabatic phase. Zbl 0569.70020Berry, M. V. 51 1985 Dislocations in wave trains. Zbl 0289.76046Nye, J. F.; Berry, M. V. 42 1974 Transitionless quantum driving. Zbl 1178.81055Berry, M. V. 42 2009 Hyperasymptotics. Zbl 0745.34052Berry, M. V.; Howls, C. J. 40 1990 Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature. Zbl 1044.81047Berry, M. V. 39 2002 Diabolical points in the spectra of triangles. Zbl 1113.81307Berry, M. V.; Wilkinson, M. 35 1984 Pseudointegrable systems in classical and quantum mechanics. Zbl 1194.37150Richens, P. J.; Berry, M. V. 35 1981 Evolution of quantum superoscillations and optical superresolution without evanescent waves. Zbl 1122.81029Berry, M. V.; Popescu, S. 35 2006 A rule for quantizing chaos? Zbl 0715.58043Berry, M. V.; Keating, J. P. 35 1990 Stokes’ phenomenon; smoothing a Victorian discontinuity. Zbl 0701.58012Berry, M. V. 29 1988 A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048Berry, M. V.; Keating, Jonathan P. 27 1992 Evanescent and real waves in quantum billiards and Gaussian beams. Zbl 0843.58087Berry, M. V. 27 1994 Generalized \(PT\) symmetry and real spectra. Zbl 1066.81537Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini 27 2002 Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472Berry, M. V.; Dennis, M. R. 26 2009 Quantum fractals in boxes. Zbl 0910.60087Berry, M. V. 25 1996 Integer, fractional and fractal Talbot effects. Zbl 0941.78524Berry, M. V.; Klein, S. 25 1996 Phase singularities in isotropic random waves. Zbl 0978.35072Berry, M. V.; Dennis, M. R. 24 2000 Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084Berry, M. V.; Robbins, J. M. 24 1997 Renormalisation of curlicues. Zbl 0662.10029Berry, M. V.; Goldberg, J. 23 1988 Semiclassical formula for the number variance of the Riemann zeros. Zbl 0664.10022Berry, M. V. 23 1988 Classical billiards in magnetic fields. Zbl 0569.70022Robnik, M.; Berry, M. V. 20 1985 Semiclassical level spacings when regular and chaotic orbits coexist. Zbl 1188.81103Berry, M. V.; Robnik, M. 20 1984 Evolution of semiclassical quantum states in phase space. Zbl 0396.70018Berry, M. V.; Balazs, N. L. 19 1979 The adiabatic phase and Pancharatnam’s phase for polarized light. Zbl 0941.81542Berry, M. V. 18 1987 Diffractals. Zbl 0407.60100Berry, M. V. 18 1979 Exact nonparaxial transmission of subwavelength detail using superoscillations. Zbl 1266.78011Berry, M. V. 18 2013 Classical non-adiabatic angles. Zbl 0646.70010Berry, M. V.; Hannay, J. H. 17 1988 Focused tsunami waves. Zbl 1158.86001Berry, M. V. 16 2007 Pointer supershifts and superoscillations in weak measurements. Zbl 1247.81020Berry, M. V.; Shukla, Pragya 15 2012 Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians. Zbl 1034.81018Bender, Carl M.; Berry, Michael; Meisinger, Peter N.; Savage, Van M.; Simsek, Mehmet 14 2001 Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016Berry, M. V.; Dennis, M. R. 14 2001 Hyperbolic Householder algorithms for factoring structured matrices. Zbl 0726.65025Cybenko, G.; Berry, M. 13 1990 Representing superoscillations and narrow Gaussians with elementary functions. Zbl 1383.42006Berry, M. V. 11 2016 High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits, and the Stokes phenomenon. Zbl 0826.58032Berry, M. V.; Howls, C. J. 11 1994 The Riemann-Siegel expansion for the zeta function: high orders and remainders. Zbl 0842.11030Berry, M. V. 11 1995 Principles of cosmology and gravitation. Reprinted from the 1st ed. 1976. Zbl 0692.53027Berry, Michael 9 1989 Unfolding the high orders of asymptotic expansions with coalescing saddles: Singularity theory, crossover and duality. Zbl 0803.58008Berry, M. V.; Howls, C. J. 9 1993 Quantum chaology, not quantum chaos. Zbl 1063.81572Berry, Michael 9 1989 Focusing and twinkling: Critical exponents from catastrophes in non- Gaussian problem short waves. Zbl 0382.58008Berry, M. V. 9 1977 Phase-space projection identities for diffraction catastrophes. Zbl 0422.58011Berry, M. V.; Wright, F. J. 9 1980 Umbilic points on Gaussian random surfaces. Zbl 0445.53002Berry, M. V.; Hannay, J. H. 9 1977 Tuck’s incompressibility function: statistics for zeta zeros and eigenvalues. Zbl 1170.82002Berry, M. V.; Shukla, P. 9 2008 A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172Berry, M. V.; Keating, J. P. 9 2011 The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500Berry, M. V.; Dennis, M. R. 8 2003 Classical dynamics with curl forces, and motion driven by time-dependent flux. Zbl 1273.82040Berry, M. V.; Shukla, Pragya 8 2012 Infinitely many Stokes smoothings in the gamma function. Zbl 0729.33002Berry, M. V. 8 1991 Umbilic points on Gaussian random surfaces. Zbl 0435.53002Berry, M. V.; Hannay, J. H. 7 1977 Hermitian boundary conditions at a Dirichlet singularity: The Marletta–Rozenblum model. Zbl 1162.81018Berry, M. V. 7 2009 Physical curl forces: dipole dynamics near optical vortices. Zbl 1290.78005Berry, M. V.; Shukla, Pragya 7 2013 Hamiltonian curl forces. Zbl 1371.82063Berry, M. V.; Shukla, Pragya 6 2015 Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088Berry, M. V.; Keating, Jonathan P. 6 1994 Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals. Zbl 0788.65018Berry, M. V.; Howls, C. J. 5 1994 Reflectionless potentials and \({\mathcal{PT}}\) symmetry. Zbl 1081.81108Ahmed, Zafar; Bender, Carl M.; Berry, M. V. 5 2005 Universal oscillations of high derivatives. Zbl 1139.30315Berry, M. V. 5 2005 Diffraction by volume gratings with imaginary potentials. Zbl 0905.35089Berry, M. V.; O’Dell, D. H. J. 5 1998 Universal power-law tails for singularity-dominated strong fluctuations. Zbl 0519.58022Berry, M. V. 5 1982 Some geometric aspects of wave motion: wavefront dislocations, diffraction catastrophes, diffractals. Zbl 0437.73014Berry, M. V. 5 1980 Random renormalization in the semiclassical long-time limit of a precessing spin. Zbl 0667.10026Berry, M. V. 5 1988 Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033Berry, M. V.; Dennis, M. R. 5 2008 Evolution of Wigner’s phase-space density under a nonintegrable quantum map. Zbl 1194.81108Korsch, H. J.; Berry, M. V. 5 1981 Can apparent superluminal neutrino speeds be explained as a quantum weak measurement? Zbl 1236.81016Berry, M. V.; Brunner, N.; Popescu, S.; Shukla, P. 5 2011 Typical weak and superweak values. Zbl 1196.81093Berry, M. V.; Shukla, P. 5 2010 Optical lattices with PT symmetry are not transparent. Zbl 1140.81471Berry, M. V. 5 2008 Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015Berry, M. V.; Keating, Jonathan P. 5 2002 Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166Berry, M. V.; Dennis, M. R. 5 2007 Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. Zbl 1270.81092Berry, M. V.; Uzdin, R. 5 2011 The parametric number variance. Zbl 0717.60117Goldberg, J.; Smilansky, U.; Berry, M. V.; Schweizer, W.; Wunner, G.; Zeller, G. 5 1991 Stokes’s phenomenon for superfactorial asymptotic series. Zbl 0787.40002Berry, M. V. 4 1991 Waves near Stokes lines. Zbl 0694.34046Berry, M. V. 4 1990 Five momenta. Zbl 1292.81035Berry, M. V. 4 2013 Mode degeneracies and the Petermann excess-noise factor for unstable lasers. Zbl 1026.78016Berry, M. V. 4 2003 Riemann’s zeta function: a model for quantum chaos? Zbl 0664.10021Berry, M. V. 4 1986 Semiclassical mechanics of regular and irregular motion. Zbl 0571.70018Berry, Michael 4 1983 Quantum states without time-reversal symmetry: wavefront dislocations in a nonintegrable Aharonov-Bohm billiard. Zbl 0616.58042Berry, M. V.; Robnik, M. 4 1986 Newtonian trajectories and quantum waves in expanding force fields. Zbl 0617.70014Berry, M. V.; Klein, G. 4 1984 Superoscillations, endfire and supergain. Zbl 1282.81069Berry, M. V. 4 2014 Discordance between quantum and classical correlation moments for chaotic systems. Zbl 0755.58068Robbins, J. M.; Berry, M. V. 3 1992 Phase vortex spirals. Zbl 1284.58008Berry, M. V. 3 2005 The optical singularities of bianisotropic crystals. Zbl 1186.78011Berry, M. V. 3 2005 Colored diffraction catastrophes. Zbl 0849.58008Berry, M. V.; Klein, S. 3 1996 Polarization singularities in isotropic random vector waves. Zbl 0988.78010Berry, M. V.; Dennis, M. R. 3 2001 Ergodicity in wave-wave diffraction. Zbl 1033.78508Berry, M. V.; O’Dell, D. H. J. 3 1999 Black plastic sandwiches demonstrating biaxial optical anisotropy. Zbl 1078.78500Berry, Michael; Bhandari, Rajendra; Klein, Susanne 3 1999 Nodal densities of Gaussian random waves satisfying mixed boundary conditions. Zbl 1066.81013Berry, M. V.; Ishio, H. 3 2002 Quantum indistinguishability: Alternative constructions of the transported basis. Zbl 1010.81040Berry, M. V.; Robbins, J. M. 3 2000 Reconnections of wave vortex lines. Zbl 1262.78006Berry, M. V.; Dennis, M. R. 3 2012 Quantum, classical and semiclassical adiabaticity. Zbl 0667.70023Berry, M. V. 3 1985 Spectral zeta functions for Aharonov-Bohm quantum billiards. Zbl 0623.58044Berry, M. V. 3 1986 Quantum backflow, negative kinetic energy, and optical retro-propagation. Zbl 1200.81047Berry, M. V. 3 2010 Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. Zbl 0997.35097Berry, M. V.; Dennis, M. R. 3 2001 Geometric phase curvature for random states. Zbl 1411.82034Berry, M. V.; Shukla, Pragya 1 2018 Suppression of superoscillations by noise. Zbl 1357.81171Berry, M. V. 2 2017 Dingle’s self-resurgence formula. Zbl 1381.40002Berry, M. V. 1 2017 Representing fractals by superoscillations. Zbl 1370.28003Berry, M. V.; Morley-Short, S. 1 2017 Representing superoscillations and narrow Gaussians with elementary functions. Zbl 1383.42006Berry, M. V. 11 2016 Riemann’s saddle-point method and the Riemann-Siegel formula. Zbl 1358.01030Berry, M. V. 1 2016 Hamiltonian curl forces. Zbl 1371.82063Berry, M. V.; Shukla, Pragya 6 2015 Superoscillations, endfire and supergain. Zbl 1282.81069Berry, M. V. 4 2014 Superoscillations and supershifts in phase space: Wigner and Husimi function interpretations. Zbl 1295.42001Berry, M. V.; Moiseyev, N. 2 2014 Exact nonparaxial transmission of subwavelength detail using superoscillations. Zbl 1266.78011Berry, M. V. 18 2013 Physical curl forces: dipole dynamics near optical vortices. Zbl 1290.78005Berry, M. V.; Shukla, Pragya 7 2013 Five momenta. Zbl 1292.81035Berry, M. V. 4 2013 Raman and the mirage revisited: confusions and a rediscovery. Zbl 1292.78010Berry, M. V. 1 2013 Pointer supershifts and superoscillations in weak measurements. Zbl 1247.81020Berry, M. V.; Shukla, Pragya 15 2012 Classical dynamics with curl forces, and motion driven by time-dependent flux. Zbl 1273.82040Berry, M. V.; Shukla, Pragya 8 2012 Reconnections of wave vortex lines. Zbl 1262.78006Berry, M. V.; Dennis, M. R. 3 2012 Causal wave propagation for relativistic massive particles: physical asymptotics in action. Zbl 1266.81057Berry, M. V. 2 2012 Superluminal speeds for relativistic random waves. Zbl 1247.81110Berry, M. V. 2 2012 Riemann zeros in radiation patterns. Zbl 1250.78019Berry, M. V. 2 2012 Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047Stewart, 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 1284.01048Stewart, 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 1292.11092Berry, M. V. 1 2012 A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172Berry, M. V.; Keating, J. P. 9 2011 Can apparent superluminal neutrino speeds be explained as a quantum weak measurement? Zbl 1236.81016Berry, M. V.; Brunner, N.; Popescu, S.; Shukla, P. 5 2011 Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. Zbl 1270.81092Berry, M. V.; Uzdin, R. 5 2011 Slow manifold and Hannay angle in the spinning top. Zbl 1385.70029Berry, M. V.; Shukla, P. 2 2011 Weak value distributions for spin 1/2. Zbl 1216.81021Berry, M. V.; Dennis, M. R.; McRoberts, B.; Shukla, P. 1 2011 Typical weak and superweak values. Zbl 1196.81093Berry, M. V.; Shukla, P. 5 2010 Quantum backflow, negative kinetic energy, and optical retro-propagation. Zbl 1200.81047Berry, M. V. 3 2010 High-order classical adiabatic reaction forces: slow manifold for a spin model. Zbl 1230.37104Berry, M. V.; Shukla, P. 2 2010 Semifluxon degeneracy choreography in Aharonov-Bohm billiards. Zbl 1196.81099Berry, M. V.; Popescu, S. 1 2010 Axial and focal-plane diffraction catastrophe integrals. Zbl 1200.78006Berry, M. V.; Howls, C. J. 1 2010 Transitionless quantum driving. Zbl 1178.81055Berry, M. V. 42 2009 Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472Berry, M. V.; Dennis, M. R. 26 2009 Hermitian boundary conditions at a Dirichlet singularity: The Marletta–Rozenblum model. Zbl 1162.81018Berry, M. V. 7 2009 Spacing distributions for real symmetric \(2 \times 2\) generalized Gaussian ensembles. Zbl 1189.15042Berry, M. V.; Shukla, P. 1 2009 Tuck’s incompressibility function: statistics for zeta zeros and eigenvalues. Zbl 1170.82002Berry, M. V.; Shukla, P. 9 2008 Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033Berry, M. V.; Dennis, M. R. 5 2008 Optical lattices with PT symmetry are not transparent. Zbl 1140.81471Berry, M. V. 5 2008 Three quantum obsessions. Zbl 1192.81164Berry, M. V. 2 2008 Focused tsunami waves. Zbl 1158.86001Berry, M. V. 16 2007 Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166Berry, M. V.; Dennis, M. R. 5 2007 Evolution of quantum superoscillations and optical superresolution without evanescent waves. Zbl 1122.81029Berry, M. V.; Popescu, S. 35 2006 Conical diffraction: observations and theory. Zbl 1149.78307Berry, M. V.; Jeffrey, M. R.; Lunney, J. G. 1 2006 Reflectionless potentials and \({\mathcal{PT}}\) symmetry. Zbl 1081.81108Ahmed, Zafar; Bender, Carl M.; Berry, M. V. 5 2005 Universal oscillations of high derivatives. Zbl 1139.30315Berry, M. V. 5 2005 Phase vortex spirals. Zbl 1284.58008Berry, M. V. 3 2005 The optical singularities of bianisotropic crystals. Zbl 1186.78011Berry, M. V. 3 2005 Nodal-line densities of chaotic quantum billiard modes satisfying mixed boundary conditions. Zbl 1072.81021Berry, M. V.; Ishio, H. 2 2005 The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500Berry, M. V.; Dennis, M. R. 8 2003 Mode degeneracies and the Petermann excess-noise factor for unstable lasers. Zbl 1026.78016Berry, M. V. 4 2003 Making light of mathematics. Zbl 1025.78001Berry, Michael 2 2003 Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature. Zbl 1044.81047Berry, M. V. 39 2002 Generalized \(PT\) symmetry and real spectra. Zbl 1066.81537Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini 27 2002 Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015Berry, M. V.; Keating, Jonathan P. 5 2002 Nodal densities of Gaussian random waves satisfying mixed boundary conditions. Zbl 1066.81013Berry, M. V.; Ishio, H. 3 2002 Exuberant interference: rainbows, tides, edges (de)coherence …. Zbl 1254.78003Berry, M. V. 3 2002 Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians. Zbl 1034.81018Bender, Carl M.; Berry, Michael; Meisinger, Peter N.; Savage, Van M.; Simsek, Mehmet 14 2001 Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016Berry, M. V.; Dennis, M. R. 14 2001 Polarization singularities in isotropic random vector waves. Zbl 0988.78010Berry, M. V.; Dennis, M. R. 3 2001 Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. Zbl 0997.35097Berry, M. V.; Dennis, M. R. 3 2001 Asymptotics of evanescence. Zbl 1008.78003Berry, M. V. 2 2001 Phase singularities in isotropic random waves. Zbl 0978.35072Berry, M. V.; Dennis, M. R. 24 2000 Quantum indistinguishability: Alternative constructions of the transported basis. Zbl 1010.81040Berry, M. V.; Robbins, J. M. 3 2000 Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Zbl 0967.81025Berry, M. V.; Keating, Jonathan P.; Schomerus, H. 2 2000 The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036Berry, M. V.; Keating, Jonathan P. 73 1999 Ergodicity in wave-wave diffraction. Zbl 1033.78508Berry, M. V.; O’Dell, D. H. J. 3 1999 Black plastic sandwiches demonstrating biaxial optical anisotropy. Zbl 1078.78500Berry, Michael; Bhandari, Rajendra; Klein, Susanne 3 1999 A theta-like sum from diffraction physics. Zbl 0946.81036Berry, M. V. 2 1999 Aharonov-Bohm beam deflection: Shelankov’s formula, exact solution, asymptotics and an optical analogue. Zbl 0953.81022Berry, M. V. 2 1999 The Aharonov-Bohm wave and the Cornu spiral. Zbl 0966.81023Berry, M. V.; Shelankov, A. 1 1999 Diffraction by volume gratings with imaginary potentials. Zbl 0905.35089Berry, M. V.; O’Dell, D. H. J. 5 1998 Orbit bifurcations and spectral statistics. Zbl 1001.81519Berry, M. V.; Keating, Jonathan P.; Prado, S. D. 2 1998 Lop-sided diffraction by absorbing crystals. Zbl 0932.81036Berry, M. V. 2 1998 Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084Berry, M. V.; Robbins, J. M. 24 1997 Geometric magnetism in massive chaotic billiards. Zbl 0916.58023Berry, M. V.; Sinclair, E. C. 1 1997 Quantum and optical arithmetic and fractals. Zbl 1058.81546Berry, M. V. 1 1997 Quantum fractals in boxes. Zbl 0910.60087Berry, M. V. 25 1996 Integer, fractional and fractal Talbot effects. Zbl 0941.78524Berry, M. V.; Klein, S. 25 1996 Colored diffraction catastrophes. Zbl 0849.58008Berry, M. V.; Klein, S. 3 1996 Geometric angle for rotated rotators, and the Hannay angle of the world. Zbl 0925.70174Berry, M. V.; Morgan, M. A. 2 1996 Geometric phases from stacks of crystal plates. Zbl 0941.78511Berry, M. V.; Klein, S. 2 1996 The Riemann-Siegel expansion for the zeta function: high orders and remainders. Zbl 0842.11030Berry, M. V. 11 1995 Evanescent and real waves in quantum billiards and Gaussian beams. Zbl 0843.58087Berry, M. V. 27 1994 High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits, and the Stokes phenomenon. Zbl 0826.58032Berry, M. V.; Howls, C. J. 11 1994 Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088Berry, M. V.; Keating, Jonathan P. 6 1994 Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals. Zbl 0788.65018Berry, M. V.; Howls, C. J. 5 1994 Unfolding the high orders of asymptotic expansions with coalescing saddles: Singularity theory, crossover and duality. Zbl 0803.58008Berry, M. V.; Howls, C. J. 9 1993 A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048Berry, M. V.; Keating, Jonathan P. 27 1992 Discordance between quantum and classical correlation moments for chaotic systems. Zbl 0755.58068Robbins, J. M.; Berry, M. V. 3 1992 Hyperasymptotics for integrals with saddles. Zbl 0764.30031Berry, M. V.; Howls, C. J. 64 1991 Infinitely many Stokes smoothings in the gamma function. Zbl 0729.33002Berry, M. V. 8 1991 The parametric number variance. Zbl 0717.60117Goldberg, J.; Smilansky, U.; Berry, M. V.; Schweizer, W.; Wunner, G.; Zeller, G. 5 1991 Stokes’s phenomenon for superfactorial asymptotic series. Zbl 0787.40002Berry, M. V. 4 1991 Hyperasymptotics. Zbl 0745.34052Berry, M. V.; Howls, C. J. 40 1990 A rule for quantizing chaos? Zbl 0715.58043Berry, M. V.; Keating, J. P. 35 1990 Hyperbolic Householder algorithms for factoring structured matrices. Zbl 0726.65025Cybenko, G.; Berry, M. 13 1990 Waves near Stokes lines. Zbl 0694.34046Berry, M. V. 4 1990 Stokes surfaces of diffraction catastrophes with codimension three. Zbl 0706.65133Berry, M. V.; Howls, C. J. 2 1990 Fake Airy functions and the asymptotics of reflectionlessness. Zbl 0712.33004Berry, M. V.; Howls, C. J. 1 1990 ...and 41 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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