Michael Berry

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All published works

Action	Title	Year	Authors
+ PDF Chat	Logarithmic pinpricks in wavefunctions	2024	Michael Berry
+ PDF Chat	Uncertainty inequalities for superoscillations	2022	Michael Berry Pragya Shukla
+	Integrals whose saddle-point expansions terminate	2020	Michael Berry
+	Geometric phase curvature for random states	2018	Michael Berry Pragya Shukla
+	Curved spacetime and the physical mathematics of general relativity	2017	Michael Berry
+	Gauge-invariant Aharonov–Bohm streamlines	2017	Michael Berry
+	Asymptotics: Introduction	2017	Michael Berry
+	Infinity interpreted	2017	Michael Berry C. J. Howls
+	Dingle’s self-resurgence formula	2017	Michael Berry
+ PDF Chat	Roadmap on structured light	2016	Halina Rubinsztein‐Dunlop Andrew Forbes Michael Berry Mark R. Dennis Davıd L. Andrews Masud Mansuripur Cornelia Denz Christina Alpmann Peter Banzer Thomas Bauer
+	Forward-smooth high-order uniform Aharonov–Bohm asymptotics	2016	Michael Berry
+ PDF Chat	Note on the helicity decomposition of spin and orbital optical currents	2015	Andrea Aiello Michael Berry
+	A tribute to Frank Olver (1924–2013)	2014	Michael Berry
+	Hearing random matrices and random waves	2013	Michael Berry Pragya Shukla
+	The Influence of Benoît B. Mandelbrot on Mathematics	2012	Michael F. Barnsley Michael Frame Roger Howe Ian Stewart David Mumford Hillel Fürstenberg K. J. Falconer Bruce J. West Marc‐Olivier Coppens Nathan Cohen
+	Hearing the music of the primes: auditory complementarity and the siren song of zeta	2012	Michael Berry
+	Riemann zeros in radiation patterns	2012	Michael Berry
+	Tribute to Vladimir Arnold	2012	Boris Khesin Serge Tabachnikov Alexander Givental Yakov G. Sinai Steve Smale Mikhail B. Sevryuk Askold Khovanskiĭ Alexander Varchenko Michael Berry
+ PDF Chat	Can apparent superluminal neutrino speeds be explained as a quantum weak measurement?	2011	Michael Berry Nicolas Brunner Sandu Popescu Pragya Shukla
+	A compact hamiltonian with the same asymptotic mean spectral density as the Riemann zeros	2011	Michael Berry Jonathan P. Keating
+ PDF Chat	Semifluxon degeneracy choreography in Aharonov–Bohm billiards	2010	Michael Berry Sandu Popescu
+	Asymptotics of the many-whirls representation for Aharonov–Bohm scattering	2010	Michael Berry
+	Typical weak and superweak values	2010	Michael Berry Pragya Shukla
+	Integrals with coalescing saddles	2010	Michael Berry Chris Howls
+	Semifluxon degeneracy choreography in Aharonov-Bohm billiards	2010	Michael Berry Sandu Popescu
+	Spacing distributions for real symmetric 2 × 2 generalized Gaussian ensembles	2009	Michael Berry Pragya Shukla
+ PDF Chat	Tuck's incompressibility function: statistics for zeta zeros and eigenvalues	2008	Michael Berry Pragya Shukla
+	Riemann's Zeta function: A model for quantum chaos?	2008	Michael Berry
+	Tuck's incompressibility function: statistics for zeta zeros and eigenvalues	2008	Michael Berry Pragya Shukla
+	Proximity of degeneracies and chiral points	2006	Michael Berry
+ PDF Chat	Reflectionless potentials and symmetry	2005	Zafar Ahmed Carl M. Bender Michael Berry
+	Tsunami asymptotics	2005	Michael Berry
+	Universal oscillations of high derivatives	2005	Michael Berry
+ PDF Chat	Nandor Balazs	2004	Robert de Zafra T. Bergeman Michael Berry Roger Balian Andre ́ Voros
+	The Aharonov-Bohm wave and the Cornu spiral	1999	Michael Berry A. L. Shelankov
+	The Riemann Zeros and Eigenvalue Asymptotics	1999	Michael Berry Jonathan P. Keating
+	Atlanta Organizers Put Mathematics to Work For the Math Sciences Community	1999	Michael Berry Jack Dongarra
+	Extreme twinkling and its opposite	1998	Michael Berry
+	Quantum fractals in boxes	1996	Michael Berry
+	Numbers, words and things	1995	Michael Berry
+	The Riemann-Siegel expansion for the zeta function: high orders and remainders	1995	Michael Berry
+ PDF Chat	Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods.	1995	G. W. S. Richard Barrett Michael Berry Tony F. Chan James Demmel J.M. Donato Jack Dongarra Victor Eijkhout Roldan Pozo C.H. Romine
+	High orders of the Weyl expansion for quantum billiards: resurgence of periodic orbits, and the Stokes phenomenon	1994	Michael Berry C. J. Howls
+	Overlapping Stokes smoothings: survival of the error function and canonical catastrophe integrals	1994	Michael Berry C. J. Howls
+ PDF Chat	Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods	1994	Richard Frederick Barrett Michael Berry Tony F. Chan James Demmel J.M. Donato Jack Dongarra Victor Eijkhout Roldan Pozo C.H. Romine Henk van der Vorst
+	Unfolding the high orders of asymptotic expansions with coalescing saddles: singularity theory, crossover and duality	1993	Michael Berry C.J. Howls
+	Infinity interpreted	1993	Michael Berry C. J. Howls
+	A new approximation for (1/2)+it) and quantum spectral determinants	1992	Michael Berry JP Keating
+	Stokes’s phenomenon for superfactorial asymptotic series	1991	Michael Berry
+	Some quantum-to-classical asymptotics	1991	Michael Berry
+	Hyperasymptotics	1990	Michael Berry C. J. Howls
+ PDF Chat	Fake Airy functions and the asymptotics of reflectionlessness	1990	Michael Berry C. J. Howls
+	Die gekrümmte Raumzeit und die physikalische Mathematik der allgemeinen Relativitätstheorie	1990	Michael Berry
+	Kosmologie und Gravitation	1990	Michael Berry
+	Am Anfang	1990	Michael Berry
+	Uniform asymptotic smoothing of Stokes’s discontinuities	1989	Michael Berry
+	Semiclassical formula for the number variance of the Riemann zeros	1988	Michael Berry
+	Renormalisation of curlicues	1988	Michael Berry Jack Goldberg
+	Dynamical chaos : proceedings of a Royal Society discussion meeting held on 4 and 5 February 1987	1987	Michael Berry I C Percival Nadin Weiß
+	Semiclassical theory of spectral rigidity	1985	Michael Berry
+	Semiclassical level spacings when regular and chaotic orbits coexist	1984	Michael Berry Marko Robnik
+	Nonlocal maps	1984	Michael Berry J.O. Indekeu M. Tabor N. L. Balázs
+	Semi-classical Approximation in Quantum Mechanics	1982	Michael Berry
+	Regularity and chaos in classical mechanics, illustrated by three deformations of a circular 'billiard'	1981	Michael Berry
+	Quantizing a classically ergodic system: Sinai's billiard and the KKR method	1981	Michael Berry
+	Remarks on degeneracies of semiclassical energy levels	1977	Michael Berry
+	On deducing the form of surfaces from their diffracted echoes	1972	Michael Berry

Common Coauthors

Coauthor	Papers Together
Pragya Shukla	8
C. J. Howls	6
Sandu Popescu	3
Jack Dongarra	3
Henk van der Vorst	2
James Demmel	2
Jonathan P. Keating	2
J.M. Donato	2
Tony F. Chan	2
Roldan Pozo	2
Victor Eijkhout	2
C.H. Romine	2
Benjamin McMorran	1
Guodong Xie	1
Alexander B. Stilgoe	1
Mark R. Dennis	1
Robert de Zafra	1
Carmelo Rosales‐Guzmán	1
Mark Baker	1
Juan P. Torres	1
Bruce J. West	1
Roger Howe	1
Miles J. Padgett	1
Mikhail B. Sevryuk	1
Alexander Givental	1
Michael Frame	1
Yakov G. Sinai	1
I C Percival	1
Andrew Forbes	1
Ebrahim Karimi	1
Halina Rubinsztein‐Dunlop	1
N. P. Bigelow	1
Serge Tabachnikov	1
Askold Khovanskiĭ	1
Robert Fickler	1
Antonella Belmonte	1
Andrea Aiello	1
Masud Mansuripur	1
Thomas Bauer	1
Jacquiline Romero	1
Alexander Varchenko	1
Christina Alpmann	1
Stéphane Jaffard	1
A. G. White	1
Nadin Weiß	1
A. L. Shelankov	1
Boris Khesin	1
J.O. Indekeu	1
Marc‐Olivier Coppens	1
Marko Robnik	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Asymptotic Expansions: Their Derivation and Interpretation	1975	Y. L. L. R. Dingle	15
+	Periodic Orbits and Classical Quantization Conditions	1971	Martin C. Gutzwiller	10
+	Riemann's Zeta Function	1974	Harold M. Edwards	10
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	9
+	Distribution of eigenfrequencies for the wave equation in a finite domain: III. Eigenfrequency density oscillations	1972	R. Balian Claude Bloch	8
+ PDF Chat	Errata: Milton Abramowitz and Irene A. Stegun, editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., 1994, and all known reprints	1972	K. S. Kölbig F. Schäff	7
+	Uniform asymptotic smoothing of Stokes’s discontinuities	1989	Michael Berry	6
+	Semiclassical theory of spectral rigidity	1985	Michael Berry	4
+	Handbook of Mathematical Functions	1972	Milton Abramowitz I. A. Stegun	4
+ PDF Chat	Path integrals and their applications in quantum, statistical and solid state physics	1977	G. Papadopoulos J. T. Devreese	4
+	<i>Spectra of Finite Systems</i>	1977	H. P. Baltes Eberhard R. Hilf John L. Challifour	4
+	Riemann's Zeta function: A model for quantum chaos?	2008	Michael Berry	4
+	Stieltjes transforms and the Stokes phenomenon	1990	W. G. C. Boyd	3
+	Selberg's trace formula as applied to a compact riemann surface	1972	H. P. McKean	3
+	The Riemann Zeros and Eigenvalue Asymptotics	1999	Michael Berry Jonathan P. Keating	3
+ PDF Chat	On the distribution of spacings between zeros of the zeta function	1987	Andrew Odlyzko	3
+	Quantizing a classically ergodic system: Sinai's billiard and the KKR method	1980		3
+	<i>The Fractal Geometry of Nature</i>	1983	Benoît B. Mandelbrot John Wheeler	3
+	Unfolding the high orders of asymptotic expansions with coalescing saddles: singularity theory, crossover and duality	1993	Michael Berry C.J. Howls	3
+ PDF Chat	The Mathematics of Superoscillations	2017	Yakir Aharonov Fabrizio Colombo Irene Sabadini Daniele C. Struppa Jeff Tollaksen	2
+	The Riemann Hypothesis	2007	Peter Borwein Stephen Choi Brendan Rooney Andrea Weirathmueller	2
+	The Mathematica book	1996	Stephen Wolfram	2
+ PDF Chat	Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations	2003	Yan V. Fyodorov Jonathan P. Keating	2
+	On the Weierstrass-Mandelbrot fractal function	1980	Marsha Berry Z. V. Lewis	2
+	On deducing the form of surfaces from their diffracted echoes	1972	Michael Berry	2
+	ASYMPTOTIC APPROXIMATIONS TO INTEGRALS	1980		2
+	Ergodic properties of a particle moving elastically inside a polygon	1975	Arthur Hobson	2
+	LII.<i>The “converging factor” in asymptotic series and the calculation of Bessel, laguerre and other functions</i>	1937	John Airey	2
+	The Riemann Zeta-Function and Quantum Chaology	1993	Jonathan P. Keating	2
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg	2
+ PDF Chat	A time-symmetric formulation of quantum mechanics	2010	Yakir Aharonov Sandu Popescu Jeff Tollaksen	2
+	An extension of the method of steepest descents	1957	Clive R. Chester Bernard Friedman F. Ursell	2
+	The Riemann-Siegel expansion for the zeta function: high orders and remainders	1995	Michael Berry	2
+	An asymptotic representation for the Riemann zeta function on the critical line	1994	R. B. Paris	2
+ PDF Chat	On the zeros of the Riemann zeta function in the critical strip	1979	Richard P. Brent	2
+	Dynamical systems with elastic reflections	1970	Yakov G. Sinai	2
+ PDF Chat	Aharonov-Bohm and Berry Phases for a Quantum Cloud of Charge	1994	Yakir Aharonov Sidney Coleman Alfred S. Goldhaber S. Nussinov Sandu Popescu Benni Reznik Daniel Rohrlich Lev Vaidman	2
+	Regularity and chaos in classical mechanics, illustrated by three deformations of a circular 'billiard'	1981	Michael Berry	2
+	The Aharonov-Bohm wave and the Cornu spiral	1999	Michael Berry A. L. Shelankov	2
+	Chaos on the pseudosphere	1986	N. L. Balázs A. Voros	2
+	Asymptotics and Special Functions	1997	F. W. J. Olver	2
+	Taylor and Pad� analysis of the level spacing distributions of random-matrix ensembles	1990	Barbara Dietz Fritz Haake	2
+ PDF Chat	Fake Airy functions and the asymptotics of reflectionlessness	1990	Michael Berry C. J. Howls	2
+	Quantising a generic family of billiards with analytic boundaries	1984	Marko Robnik	2
+	Semiclassical formula for the number variance of the Riemann zeros	1988	Michael Berry	2
+	Scattering theory and automorphic functions	1975	B. S. Pavlov L. D. Faddeev	2
+ PDF Chat	Magnetic force exerted by the Aharonov-Bohm line	1998	A. L. Shelankov	2
+	Chaotic motion and random matrix theories	2008	O. Bohigas M.J. Giannoni	2
+ PDF Chat	Complex weak values in quantum measurement	2007	Richard Jozsa	2
+	The Selberg trace formula and the Riemann zeta function	1976	Dennis A. Hejhal	2