Edit Profile (opens in new tab) Berry, Michael Victor Co-Author Distance 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: 190 Publications since 1966, including 2 Books 2 Contributions as Editor · 2 Further Contributions Co-Authors: 54 Co-Authors with 90 Joint Publications 1,138 Co-Co-Authors all top 5 Co-Authors 91 single-authored 18 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 Burke, Kieron 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 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 Liu, Wei 1 Lunney, J. G. 1 Mandilara, Aikaterini D. 1 McRoberts, B. 1 Meisinger, Peter N. 1 Moiseyev, Nimrod 1 Morley-Short, Sam 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, Stephen 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 48 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 12 European Journal of Physics 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 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 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 Studies in Mathematical Physics 1 Proceedings A. Royal Society of London all top 5 Fields 99 Quantum theory (81-XX) 44 Optics, electromagnetic theory (78-XX) 27 Dynamical systems and ergodic theory (37-XX) 24 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Mechanics of particles and systems (70-XX) 16 Number theory (11-XX) 11 Approximations and expansions (41-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Special functions (33-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Ordinary differential equations (34-XX) 9 Fluid mechanics (76-XX) 8 History and biography (01-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 6 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-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 Statistics (62-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 Geometry (51-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 158 Publications have been cited 3,116 times in 2,269 Documents Cited by ▼ Year ▼ Quantal phase factors accompanying adiabatic changes. Zbl 1113.81306 Berry, M. V. 679 1984 Regular and irregular semiclassical wavefunctions. Zbl 0377.70014 Berry, M. V. 180 1977 Level clustering in the regular spectrum. Zbl 1119.81395 Berry, M. V.; Tabor, M. 138 1977 Semiclassical theory of spectral rigidity. Zbl 0875.35061 Berry, M. V. 94 1985 The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036 Berry, M. V.; Keating, Jonathan P. 85 1999 Hyperasymptotics for integrals with saddles. Zbl 0764.30031 Berry, M. V.; Howls, C. J. 79 1991 Uniform asymptotic smoothing of Stokes’ discontinuities. Zbl 0683.33004 Berry, M. V. 76 1989 Transitionless quantum driving. Zbl 1178.81055 Berry, M. V. 75 2009 On the Weierstrass-Mandelbrot fractal function. Zbl 0435.28008 Berry, M. V.; Lewis, Z. V. 75 1980 Semi-classical mechanics in phase space: A study of Wigner’s function. Zbl 0421.70020 Berry, M. V. 72 1977 Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating. Zbl 1194.81107 Hannay, J. H.; Berry, M. V. 63 1980 Classical adiabatic angles and quantal adiabatic phase. Zbl 0569.70020 Berry, M. V. 56 1985 Dislocations in wave trains. Zbl 0289.76046 Nye, J. F.; Berry, M. V. 54 1974 Evolution of quantum superoscillations and optical superresolution without evanescent waves. Zbl 1122.81029 Berry, M. V.; Popescu, S. 53 2006 Hyperasymptotics. Zbl 0745.34052 Berry, M. V.; Howls, C. J. 52 1990 Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature. Zbl 1044.81047 Berry, M. V. 49 2002 Diabolical points in the spectra of triangles. Zbl 1113.81307 Berry, M. V.; Wilkinson, M. 40 1984 A rule for quantizing chaos? Zbl 0715.58043 Berry, M. V.; Keating, J. P. 40 1990 Pseudointegrable systems in classical and quantum mechanics. Zbl 1194.37150 Richens, P. J.; Berry, M. V. 40 1981 Stokes’ phenomenon; smoothing a Victorian discontinuity. Zbl 0701.58012 Berry, M. V. 39 1988 Integer, fractional and fractal Talbot effects. Zbl 0941.78524 Berry, M. V.; Klein, S. 35 1996 Evanescent and real waves in quantum billiards and Gaussian beams. Zbl 0843.58087 Berry, M. V. 35 1994 Generalized \(PT\) symmetry and real spectra. Zbl 1066.81537 Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini 35 2002 Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472 Berry, M. V.; Dennis, M. R. 35 2009 Semiclassical formula for the number variance of the Riemann zeros. Zbl 0664.10022 Berry, M. V. 32 1988 Phase singularities in isotropic random waves. Zbl 0978.35072 Berry, M. V.; Dennis, M. R. 31 2000 A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048 Berry, M. V.; Keating, Jonathan P. 31 1992 Quantum fractals in boxes. Zbl 0910.60087 Berry, M. V. 29 1996 Semiclassical level spacings when regular and chaotic orbits coexist. Zbl 1188.81103 Berry, M. V.; Robnik, M. 26 1984 Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084 Berry, M. V.; Robbins, J. M. 25 1997 Renormalisation of curlicues. Zbl 0662.10029 Berry, M. V.; Goldberg, J. 24 1988 Classical billiards in magnetic fields. Zbl 0569.70022 Robnik, M.; Berry, M. V. 23 1985 Exact nonparaxial transmission of subwavelength detail using superoscillations. Zbl 1266.78011 Berry, M. V. 22 2013 Evolution of semiclassical quantum states in phase space. Zbl 0396.70018 Berry, M. V.; Balazs, N. L. 21 1979 Focused tsunami waves. Zbl 1158.86001 Berry, M. V. 20 2007 The adiabatic phase and Pancharatnam’s phase for polarized light. Zbl 0941.81542 Berry, M. V. 19 1987 Diffractals. Zbl 0407.60100 Berry, M. V. 19 1979 Representing superoscillations and narrow Gaussians with elementary functions. Zbl 1383.42006 Berry, M. V. 18 2016 Classical non-adiabatic angles. Zbl 0646.70010 Berry, M. V.; Hannay, J. H. 17 1988 Pointer supershifts and superoscillations in weak measurements. Zbl 1247.81020 Berry, M. V.; Shukla, Pragya 17 2012 Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016 Berry, M. V.; Dennis, M. R. 17 2001 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 15 2001 The Riemann-Siegel expansion for the zeta function: high orders and remainders. Zbl 0842.11030 Berry, M. V. 13 1995 Hyperbolic Householder algorithms for factoring structured matrices. Zbl 0726.65025 Cybenko, G.; Berry, M. 13 1990 Focusing and twinkling: Critical exponents from catastrophes in non- Gaussian problem short waves. Zbl 0382.58008 Berry, M. V. 13 1977 Classical dynamics with curl forces, and motion driven by time-dependent flux. Zbl 1273.82040 Berry, M. V.; Shukla, Pragya 12 2012 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. 12 1994 Infinitely many Stokes smoothings in the gamma function. Zbl 0729.33002 Berry, M. V. 12 1991 A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172 Berry, M. V.; Keating, J. P. 11 2011 Quantum chaology, not quantum chaos. Zbl 1063.81572 Berry, Michael 11 1989 Umbilic points on Gaussian random surfaces. Zbl 0445.53002 Berry, M. V.; Hannay, J. H. 11 1977 Tuck’s incompressibility function: statistics for zeta zeros and eigenvalues. Zbl 1170.82002 Berry, M. V.; Shukla, P. 11 2008 Quantum backflow, negative kinetic energy, and optical retro-propagation. Zbl 1200.81047 Berry, M. V. 11 2010 Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015 Berry, M. V.; Keating, Jonathan P. 10 2002 Principles of cosmology and gravitation. Reprinted from the 1st ed. 1976. Zbl 0692.53027 Berry, Michael 10 1989 Umbilic points on Gaussian random surfaces. Zbl 0435.53002 Berry, M. V.; Hannay, J. H. 10 1977 Hamiltonian curl forces. Zbl 1371.82063 Berry, M. V.; Shukla, Pragya 10 2015 Physical curl forces: dipole dynamics near optical vortices. Zbl 1290.78005 Berry, M. V.; Shukla, Pragya 10 2013 Five momenta. Zbl 1292.81035 Berry, M. V. 10 2013 Riemann’s zeta function: a model for quantum chaos? Zbl 0664.10021 Berry, M. V. 9 1986 Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. Zbl 1270.81092 Berry, M. V.; Uzdin, R. 9 2011 Semiclassical mechanics of regular and irregular motion. Zbl 0571.70018 Berry, Michael 9 1983 Phase-space projection identities for diffraction catastrophes. Zbl 0422.58011 Berry, M. V.; Wright, F. J. 9 1980 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 The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500 Berry, M. V.; Dennis, M. R. 8 2003 Waves near Stokes lines. Zbl 0694.34046 Berry, M. V. 8 1990 Evolution of Wigner’s phase-space density under a nonintegrable quantum map. Zbl 1194.81108 Korsch, H. J.; Berry, M. V. 8 1981 Superoscillations, endfire and supergain. Zbl 1282.81069 Berry, M. V. 8 2014 Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033 Berry, M. V.; Dennis, M. R. 7 2008 Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166 Berry, M. V.; Dennis, M. R. 7 2007 Hermitian boundary conditions at a Dirichlet singularity: The Marletta–Rozenblum model. Zbl 1162.81018 Berry, M. V. 7 2009 Exuberant interference: rainbows, tides, edges (de)coherence …. Zbl 1254.78003 Berry, M. V. 7 2002 Optical lattices with PT symmetry are not transparent. Zbl 1140.81471 Berry, M. V. 6 2008 Universal power-law tails for singularity-dominated strong fluctuations. Zbl 0519.58022 Berry, M. V. 6 1982 Universal oscillations of high derivatives. Zbl 1139.30315 Berry, M. V. 6 2005 Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088 Berry, M. V.; Keating, Jonathan P. 6 1994 Some geometric aspects of wave motion: wavefront dislocations, diffraction catastrophes, diffractals. Zbl 0437.73014 Berry, M. V. 6 1980 Suppression of superoscillations by noise. Zbl 1357.81171 Berry, M. V. 6 2017 Random renormalization in the semiclassical long-time limit of a precessing spin. Zbl 0667.10026 Berry, M. V. 5 1988 Fringes decorating anticaustics in ergodic wave-functions. Zbl 0683.58048 Berry, M. V. 5 1989 Diffraction by volume gratings with imaginary potentials. Zbl 0905.35089 Berry, M. V.; O’Dell, D. H. J. 5 1998 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 Spacing distributions for real symmetric \(2 \times 2\) generalized Gaussian ensembles. Zbl 1189.15042 Berry, M. V.; Shukla, P. 5 2009 Aharonov-Bohm beam deflection: Shelankov’s formula, exact solution, asymptotics and an optical analogue. Zbl 0953.81022 Berry, M. V. 5 1999 Reflectionless potentials and \({\mathcal{PT}}\) symmetry. Zbl 1081.81108 Ahmed, Zafar; Bender, Carl M.; Berry, M. V. 5 2005 Phase vortex spirals. Zbl 1284.58008 Berry, M. V. 5 2005 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. 5 1991 Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals. Zbl 0788.65018 Berry, M. V.; Howls, C. J. 5 1994 Superluminal speeds for relativistic random waves. Zbl 1247.81110 Berry, M. V. 5 2012 Mode degeneracies and the Petermann excess-noise factor for unstable lasers. Zbl 1026.78016 Berry, M. V. 5 2003 Typical weak and superweak values. Zbl 1196.81093 Berry, M. V.; Shukla, P. 5 2010 Escaping superoscillations. Zbl 1383.78019 Berry, M. V.; Fishman, S. 4 2018 Polarization singularities in isotropic random vector waves. Zbl 0988.78010 Berry, M. V.; Dennis, M. R. 4 2001 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 Distribution of modes in fractal resonators. Zbl 0419.35077 Berry, M. V. 4 1979 Spectral zeta functions for Aharonov-Bohm quantum billiards. Zbl 0623.58044 Berry, M. V. 4 1986 Superoscillations and supershifts in phase space: Wigner and Husimi function interpretations. Zbl 1295.42001 Berry, M. V.; Moiseyev, N. 4 2014 Causal wave propagation for relativistic massive particles: physical asymptotics in action. Zbl 1266.81057 Berry, M. V. 4 2012 No general relation between phase vortices and orbital angular momentum. Zbl 1514.78006 Berry, M. V.; Liu, Wei 1 2022 Superoscillations and the quantum potential. Zbl 1523.81087 Berry, M. V. 4 2021 Exact and approximate energy sums in potential wells. Zbl 1514.81124 Berry, M. V.; Burke, Kieron 2 2020 Classical and quantum complex Hamiltonian curl forces. Zbl 1519.81259 Berry, M. V. 2 2020 Geometric phase curvature statistics. Zbl 1468.60009 Berry, M. V.; Shukla, Pragya 1 2020 Superoscillations for monochromatic standing waves. Zbl 1514.35012 Berry, M. V. 1 2020 Superoscillations and leaky spectra. Zbl 1422.42005 Berry, M. V. 2 2019 Semiclassical quantization of truncated potentials. Zbl 07670080 Berry, M. V.; Burke, Kieron 1 2019 Escaping superoscillations. Zbl 1383.78019 Berry, M. V.; Fishman, S. 4 2018 Geometric phase curvature for random states. Zbl 1411.82034 Berry, M. V.; Shukla, Pragya 2 2018 Pumping a swing revisited: minimal model for parametric resonance via matrix products. Zbl 1421.70027 Berry, M. V. 1 2018 Suppression of superoscillations by noise. Zbl 1357.81171 Berry, M. V. 6 2017 Gauge-invariant Aharonov-Bohm streamlines. Zbl 1386.81065 Berry, M. V. 3 2017 Representing fractals by superoscillations. Zbl 1370.28003 Berry, M. V.; Morley-Short, S. 2 2017 Dingle’s self-resurgence formula. Zbl 1381.40002 Berry, M. V. 2 2017 A half-century of physical asymptotics and other diversions. Selected works by Michael Berry. Zbl 1369.01038 Berry, Michael 1 2017 Representing superoscillations and narrow Gaussians with elementary functions. Zbl 1383.42006 Berry, M. V. 18 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 10 2015 The squint Moon and the witch ball. Zbl 1452.78002 Berry, M. V. 1 2015 Superoscillations, endfire and supergain. Zbl 1282.81069 Berry, M. V. 8 2014 Superoscillations and supershifts in phase space: Wigner and Husimi function interpretations. Zbl 1295.42001 Berry, M. V.; Moiseyev, N. 4 2014 Exact nonparaxial transmission of subwavelength detail using superoscillations. Zbl 1266.78011 Berry, M. V. 22 2013 Physical curl forces: dipole dynamics near optical vortices. Zbl 1290.78005 Berry, M. V.; Shukla, Pragya 10 2013 Five momenta. Zbl 1292.81035 Berry, M. V. 10 2013 Raman and the mirage revisited: confusions and a rediscovery. Zbl 1292.78010 Berry, M. V. 2 2013 Curvature of wave streamlines. Zbl 1298.78005 Berry, M. V. 1 2013 Pointer supershifts and superoscillations in weak measurements. Zbl 1247.81020 Berry, M. V.; Shukla, Pragya 17 2012 Classical dynamics with curl forces, and motion driven by time-dependent flux. Zbl 1273.82040 Berry, M. V.; Shukla, Pragya 12 2012 Superluminal speeds for relativistic random waves. Zbl 1247.81110 Berry, M. V. 5 2012 Causal wave propagation for relativistic massive particles: physical asymptotics in action. Zbl 1266.81057 Berry, M. V. 4 2012 Reconnections of wave vortex lines. Zbl 1262.78006 Berry, M. V.; Dennis, M. R. 3 2012 Riemann zeros in radiation patterns. Zbl 1250.78019 Berry, M. V. 2 2012 Hearing the music of the primes: auditory complementarity and the siren song of zeta. Zbl 1292.11092 Berry, M. V. 1 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 A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172 Berry, M. V.; Keating, J. P. 11 2011 Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. Zbl 1270.81092 Berry, M. V.; Uzdin, R. 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 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 Quantum backflow, negative kinetic energy, and optical retro-propagation. Zbl 1200.81047 Berry, M. V. 11 2010 Typical weak and superweak values. Zbl 1196.81093 Berry, M. V.; Shukla, P. 5 2010 High-order classical adiabatic reaction forces: slow manifold for a spin model. Zbl 1230.37104 Berry, M. V.; Shukla, P. 2 2010 Axial and focal-plane diffraction catastrophe integrals. Zbl 1200.78006 Berry, M. V.; Howls, C. J. 2 2010 Asymptotics of the many-whirls representation for Aharonov-Bohm scattering. Zbl 1196.81221 Berry, M. V. 1 2010 Semifluxon degeneracy choreography in Aharonov-Bohm billiards. Zbl 1196.81099 Berry, M. V.; Popescu, S. 1 2010 Transitionless quantum driving. Zbl 1178.81055 Berry, M. V. 75 2009 Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472 Berry, M. V.; Dennis, M. R. 35 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. 5 2009 Tuck’s incompressibility function: statistics for zeta zeros and eigenvalues. Zbl 1170.82002 Berry, M. V.; Shukla, P. 11 2008 Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033 Berry, M. V.; Dennis, M. R. 7 2008 Optical lattices with PT symmetry are not transparent. Zbl 1140.81471 Berry, M. V. 6 2008 Three quantum obsessions. Zbl 1192.81164 Berry, M. V. 3 2008 Focused tsunami waves. Zbl 1158.86001 Berry, M. V. 20 2007 Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166 Berry, M. V.; Dennis, M. R. 7 2007 Evolution of quantum superoscillations and optical superresolution without evanescent waves. Zbl 1122.81029 Berry, M. V.; Popescu, S. 53 2006 Conical diffraction: observations and theory. Zbl 1149.78307 Berry, M. V.; Jeffrey, M. R.; Lunney, J. G. 2 2006 Universal oscillations of high derivatives. Zbl 1139.30315 Berry, M. V. 6 2005 Reflectionless potentials and \({\mathcal{PT}}\) symmetry. Zbl 1081.81108 Ahmed, Zafar; Bender, Carl M.; Berry, M. V. 5 2005 Phase vortex spirals. Zbl 1284.58008 Berry, M. V. 5 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. 5 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. 49 2002 Generalized \(PT\) symmetry and real spectra. Zbl 1066.81537 Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini 35 2002 Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015 Berry, M. V.; Keating, Jonathan P. 10 2002 Exuberant interference: rainbows, tides, edges (de)coherence …. Zbl 1254.78003 Berry, M. V. 7 2002 Nodal densities of Gaussian random waves satisfying mixed boundary conditions. Zbl 1066.81013 Berry, M. V.; Ishio, H. 3 2002 Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016 Berry, M. V.; Dennis, M. R. 17 2001 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 15 2001 Polarization singularities in isotropic random vector waves. Zbl 0988.78010 Berry, M. V.; Dennis, M. R. 4 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. 3 2001 Phase singularities in isotropic random waves. Zbl 0978.35072 Berry, M. V.; Dennis, M. R. 31 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. 85 1999 Aharonov-Bohm beam deflection: Shelankov’s formula, exact solution, asymptotics and an optical analogue. Zbl 0953.81022 Berry, M. V. 5 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 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 Lop-sided diffraction by absorbing crystals. Zbl 0932.81036 Berry, M. V. 3 1998 Orbit bifurcations and spectral statistics. Zbl 1001.81519 Berry, M. V.; Keating, Jonathan P.; Prado, S. D. 3 1998 Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084 Berry, M. V.; Robbins, J. M. 25 1997 Quantum and optical arithmetic and fractals. Zbl 1058.81546 Berry, M. V. 1 1997 Geometric magnetism in massive chaotic billiards. Zbl 0916.58023 Berry, M. V.; Sinclair, E. C. 1 1997 Integer, fractional and fractal Talbot effects. Zbl 0941.78524 Berry, M. V.; Klein, S. 35 1996 Quantum fractals in boxes. Zbl 0910.60087 Berry, M. V. 29 1996 Colored diffraction catastrophes. Zbl 0849.58008 Berry, M. V.; Klein, S. 3 1996 Geometric phases from stacks of crystal plates. Zbl 0941.78511 Berry, M. V.; Klein, S. 2 1996 Geometric angle for rotated rotators, and the Hannay angle of the world. Zbl 0925.70174 Berry, M. V.; Morgan, M. A. 2 1996 The Riemann-Siegel expansion for the zeta function: high orders and remainders. Zbl 0842.11030 Berry, M. V. 13 1995 Evanescent and real waves in quantum billiards and Gaussian beams. Zbl 0843.58087 Berry, M. V. 35 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. 12 1994 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,288 Authors 33 Yu, Zhaoxian 32 Berry, Michael Victor 27 Wigman, Igor 24 Jiao, Zhiyong 21 Colombo, Fabrizio 19 Sabadini, Irene 19 Struppa, Daniele Carlo 18 Keating, Jonathan Peter 17 Aharonov, Yakir 15 Lustri, Christopher J. 15 Xia, Yan 14 Dobrokhotov, Sergei Yurievich 14 Marinucci, Domenico 14 Rudnick, Zeév 13 Dunne, Gerald V. 12 Paris, Richard Bruce 12 Song, Jie 11 Nemes, Gergő 11 Rossi, Maurizia 11 Xue, Kang 10 Cammarota, Valentina 10 Liu, Fuping 10 Ünsal, Mithat 10 Wang, Gangcheng 9 Kang, Yi-Hao 9 Marklof, Jens 9 Mukunda, Narasimhaiengar 9 Smilansky, Uzy 8 Chen, Ye-Hong 8 Karasev, Mikhail Vladimirovich 8 Mostafazadeh, Ali 8 Ozorio de Almeida, Alfredo M. 8 Shukla, Pragya 8 Sun, Chunfang 8 Wang, Zisheng 8 Zelditch, Steve 7 Beliaev, Dmitri B. 7 Bliokh, Konstantin Yu. 7 Chaturvedi, Subhash 7 Costin, Ovidiu 7 Domitrz, Wojciech 7 Guha, Partha 7 Iwai, Toshihiro 7 Kurlberg, Pär 7 Nesterov, Alexander I. 7 Schleich, Wolfgang P. 7 Wang, Anling 6 Bakke, Knut 6 Bolte, Jens 6 Dennis, Mark R. 6 Huang, Bi-Hua 6 Lebowitz, Joel Louis 6 Malkoun, Joseph 6 Mezzadri, Francesco 6 Peccati, Giovanni 6 Shi, Zhicheng 6 Sjöqvist, Erik 6 Tanner, Gregor K. 6 Todino, Anna Paola 6 Tomsovic, Steven 6 Vega, Luis 6 Yesha, Nadav 6 Zhou, Songping 6 Zwierzyński, Michał 5 Avron, Joseph E. 5 Bender, Carl M. 5 Blomer, Valentin 5 Castro Perelman, Carlos 5 Chapman, Stephen Jonathan 5 Cheon, Taksu 5 Creagh, Stephen C. 5 Delabaere, Eric 5 Fyodorov, Yan V. 5 Hu, Taotao 5 Huang, Liang 5 LeClair, André 5 Leyvraz, Francois 5 López, José Luis 5 Maamache, Mustapha 5 Marmo, Giuseppe 5 Muirhead, Stephen 5 Nazaikinskii, Vladimir E. 5 Olver, Peter John 5 Simon, Barry 5 Tirozzi, Brunello 5 Vidotto, Anna 5 Viennot, David 5 Voros, André 5 Winn, Brian 5 Wu, Jin-Lei 5 Xu, Hualan 5 Xu, Shuaixia 5 Yger, Alain 5 Zaharescu, Alexandru 5 Zaslavskiĭ, Georgiĭ Moiseevich 5 Zhang, Chunling 5 Zhao, Yuqiu 5 Zhilinskií, Boris I. 4 Agam, Oded 4 Aistleitner, Christoph ...and 3,188 more Authors all top 5 Cited in 312 Serials 177 Journal of Physics A: Mathematical and Theoretical 168 Journal of Mathematical Physics 119 International Journal of Theoretical Physics 92 Communications in Mathematical Physics 91 Journal of High Energy Physics 60 Physical Review Letters 48 Quantum Information Processing 47 New Journal of Physics 43 Chaos 40 Journal of Statistical Physics 38 Physica D 35 Physics Letters. A 31 International Journal of Modern Physics B 30 Annalen der Physik 29 Foundations of Physics 27 Journal of Modern Optics 24 Journal of Geometry and Physics 23 Chaos, Solitons and Fractals 22 Journal of Computational and Applied Mathematics 22 Annals of Physics 22 International Journal of Geometric Methods in Modern Physics 20 Theoretical and Mathematical Physics 19 International Journal of Modern Physics A 19 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Nuclear Physics. B 18 Wave Motion 17 Annales Henri Poincaré 17 Journal of Statistical Mechanics: Theory and Experiment 16 Physics Reports 16 International Journal of Wavelets, Multiresolution and Information Processing 15 Modern Physics Letters A 15 Russian Journal of Mathematical Physics 14 Letters in Mathematical Physics 14 Physical Review A, Third Series 13 Modern Physics Letters B 13 European Journal of Physics 13 Nonlinearity 13 Duke Mathematical Journal 13 Transactions of the American Mathematical Society 12 Journal of Fluid Mechanics 11 General Relativity and Gravitation 11 Mathematics of Computation 11 Fractals 11 The European Physical Journal B. Condensed Matter and Complex Systems 11 Quantum Studies: Mathematics and Foundations 11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 Journal of Mathematical Analysis and Applications 10 Physica A 10 Reviews in Mathematical Physics 9 Annales de l’Institut Fourier 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Journal of Mathematical Sciences (New York) 8 Classical and Quantum Gravity 8 Physics Letters. B 8 Advances in Mathematics 8 Journal of Functional Analysis 8 International Journal of Modern Physics D 8 Nonlinear Dynamics 8 International Journal of Quantum Information 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 The Journal of Fourier Analysis and Applications 7 Communications in Theoretical Physics 6 Acta Mechanica 6 Journal of the London Mathematical Society. Second Series 6 Studies in Applied Mathematics 6 Czechoslovak Journal of Physics 5 Fortschritte der Physik 5 Geometriae Dedicata 5 Journal of Number Theory 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 The Journal of Geometric Analysis 5 Geometric and Functional Analysis. GAFA 5 SIAM Journal on Applied Mathematics 5 Stochastic Processes and their Applications 5 Electronic Journal of Probability 5 Annals of Mathematics. Second Series 5 Communications in Nonlinear Science and Numerical Simulation 5 Analysis and Applications (Singapore) 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 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 Mathematische Zeitschrift 4 Mathematika 4 Quarterly of Applied Mathematics 4 Ergodic Theory and Dynamical Systems 4 Computer Aided Geometric Design 4 Probability Theory and Related Fields 4 Proceedings of the National Academy of Sciences of the United States of America 4 SIAM Journal on Mathematical Analysis 4 Experimental Mathematics ...and 212 more Serials all top 5 Cited in 63 Fields 1,306 Quantum theory (81-XX) 289 Partial differential equations (35-XX) 268 Statistical mechanics, structure of matter (82-XX) 266 Dynamical systems and ergodic theory (37-XX) 197 Number theory (11-XX) 174 Global analysis, analysis on manifolds (58-XX) 164 Differential geometry (53-XX) 163 Probability theory and stochastic processes (60-XX) 162 Optics, electromagnetic theory (78-XX) 133 Mechanics of particles and systems (70-XX) 119 Relativity and gravitational theory (83-XX) 113 Ordinary differential equations (34-XX) 97 Special functions (33-XX) 83 Fluid mechanics (76-XX) 67 Measure and integration (28-XX) 67 Operator theory (47-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 64 Harmonic analysis on Euclidean spaces (42-XX) 59 Numerical analysis (65-XX) 52 Functions of a complex variable (30-XX) 49 Approximations and expansions (41-XX) 43 Statistics (62-XX) 39 Algebraic geometry (14-XX) 38 Manifolds and cell complexes (57-XX) 37 Functional analysis (46-XX) 35 Mechanics of deformable solids (74-XX) 32 Real functions (26-XX) 31 Topological groups, Lie groups (22-XX) 30 Computer science (68-XX) 28 Information and communication theory, circuits (94-XX) 21 Several complex variables and analytic spaces (32-XX) 21 Algebraic topology (55-XX) 20 General and overarching topics; collections (00-XX) 18 Nonassociative rings and algebras (17-XX) 18 Group theory and generalizations (20-XX) 17 Difference and functional equations (39-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Combinatorics (05-XX) 15 Geophysics (86-XX) 15 Biology and other natural sciences (92-XX) 13 History and biography (01-XX) 11 Geometry (51-XX) 11 Astronomy and astrophysics (85-XX) 10 Integral transforms, operational calculus (44-XX) 10 Integral equations (45-XX) 9 Convex and discrete geometry (52-XX) 8 Systems theory; control (93-XX) 7 Associative rings and algebras (16-XX) 7 Sequences, series, summability (40-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 \(K\)-theory (19-XX) 6 Abstract harmonic analysis (43-XX) 5 Mathematical logic and foundations (03-XX) 5 Potential theory (31-XX) 4 Commutative algebra (13-XX) 3 General algebraic systems (08-XX) 3 General topology (54-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-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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