Gregory Berkolaiko

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Citations	2382	1219
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Peter KuchmentUniversity Distinguished Professor of Mathematics, Texas A&M UniversityVerified email at math.tamu.edu
Jon KeatingSedleian Professor of Natural Philosophy, University of OxfordVerified email at maths.ox.ac.uk
Shlomo HavlinProfessor of Physics, Bar-Ilan UniversityVerified email at ophir.ph.biu.ac.il
Jack KuipersETH ZurichVerified email at bsse.ethz.ch
Ram BandTechnion - Israel Institute of TechnologyVerified email at technion.ac.il
Uzy SmilanskyProfessor Emeritus of PhysicsVerified email at weizmann.ac.il
Andrew ComechAssociate Professor of Mathematics, Texas A&M UniversityVerified email at math.tamu.edu
Brian WinnSenior Lecturer, Loughborough UniversityVerified email at loughborough.ac.uk
John A. D. ApplebyProfessor in Mathematics, Dublin City UniversityVerified email at dcu.ie
Jon HarrisonAssociate Professor of Mathematics, Baylor UniversityVerified email at baylor.edu
Robert WhitneyUniversité Grenoble AlpesVerified email at grenoble.cnrs.fr
Pavel Kurasovprofessor in mathematics, Stockholm universityVerified email at math.su.se
Delio MugnoloProfessor of Analysis, University of HagenVerified email at fernuni-hagen.de
James Bernard KennedyGroup of Mathematical Physics, University of LisbonVerified email at fc.ul.pt
Stephen A. FullingProfessor of Mathematics & Physics, Texas A&M UniversityVerified email at math.tamu.edu
Cónall KellyUniversity College CorkVerified email at ucc.ie
Cyril PetitjeanInstitut de Formation Continuée (Liège)Verified email at ifcjonfosse.be
Daniel WaltnerVerified email at uni-due.de
Marcel NovaesPhysics, Universidade Federal de UberlandiaVerified email at infis.ufu.br
Armin BundeProfessor of Theoretical Physics, Giessen UniversityVerified email at theo.physik.uni-giessen.de

Gregory Berkolaiko

Texas A&M University

Verified email at math.tamu.edu - Homepage

Mathematical Physics


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Introduction to quantum graphs G Berkolaiko, P Kuchment American Mathematical Soc., 2013	597	2013
Quantum Graphs and Their Applications: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah G Berkolaiko, R Carlson, P Kuchment, SA Fulling American Mathematical Soc., 2006	142	2006
Two-point spectral correlations for star graphs G Berkolaiko, JP Keating Journal of Physics A: Mathematical and General 32 (45), 7827, 1999	83	1999
Star graphs and Seba billiards G Berkolaiko, EB Bogomolny, JP Keating Journal of Physics A: Mathematical and General 34, 335, 2001	75	2001
Leading off-diagonal correction to the form factor of large graphs G Berkolaiko, H Schanz, RS Whitney Physical review letters 88 (10), 104101, 2002	62	2002
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise JAD Appleby, G Berkolaiko, A Rodkina Stochastics: An International Journal of Probability and Stochastics …, 2009	57	2009
No quantum ergodicity for star graphs G Berkolaiko, JP Keating, B Winn Communications in mathematical physics 250 (2), 259-285, 2004	53	2004
A lower bound for nodal count on discrete and metric graphs G Berkolaiko Communications in mathematical physics 278 (3), 803-819, 2008	51	2008
Full counting statistics of chaotic cavities from classical action correlations G Berkolaiko, JM Harrison, M Novaes Journal of Physics A: Mathematical and Theoretical 41 (36), 365102, 2008	45	2008
On spectral stability of solitary waves of nonlinear Dirac equation in 1D G Berkolaiko, A Comech Mathematical Modelling of Natural Phenomena 7 (2), 13-31, 2012	44	2012
Form factor for a family of quantum graphs: an expansion to third order G Berkolaiko, H Schanz, RS Whitney Journal of Physics A: Mathematical and General 36, 8373, 2003	44	2003
The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions R Band, G Berkolaiko, H Raz, U Smilansky Communications in Mathematical Physics, 1-24, 2011	43	2011
An elementary introduction to quantum graphs G Berkolaiko Geometric and computational spectral theory 700, 41-72, 2017	37	2017
Intermediate wave function statistics G Berkolaiko, JP Keating, B Winn Physical review letters 91 (13), 134103, 2003	37	2003
Surgery principles for the spectral analysis of quantum graphs G Berkolaiko, J Kennedy, P Kurasov, D Mugnolo Transactions of the American Mathematical Society 372 (7), 5153-5197, 2019	35	2019
Edge connectivity and the spectral gap of combinatorial and quantum graphs G Berkolaiko, JB Kennedy, P Kurasov, D Mugnolo Journal of Physics A: Mathematical and Theoretical 50 (36), 365201, 2017	35	2017
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths G Berkolaiko, P Kuchment Spectral geometry 84, 117-137, 2012	34	2012
Nodal count of graph eigenfunctions via magnetic perturbation G Berkolaiko Analysis & PDE 6 (5), 1213–1233, 2013	33	2013
Semiclassical gaps in the density of states of chaotic Andreev billiards J Kuipers, D Waltner, C Petitjean, G Berkolaiko, K Richter Physical review letters 104 (2), 027001, 2010	32	2010
Moments of the Wigner delay times G Berkolaiko, J Kuipers Journal of Physics A: Mathematical and Theoretical 43 (3), 035101, 2009	32	2009

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