Gregory Berkolaiko

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All published works

Action	Title	Year	Authors
+	Homology of spectral minimal partitions	2025	Gregory Berkolaiko Yaiza Canzani Graham Cox Jeremy L. Marzuola
+ PDF Chat	Duistarmaat's triple index and the difference of Hermitian matrices	2024	Gregory Berkolaiko Graham Cox Yuri Latushkin Selim Sukhtaiev
+ PDF Chat	Stability of spectral partitions with corners	2024	Gregory Berkolaiko Yaiza Canzani Graham Cox Peter Kuchment Jeremy L. Marzuola
+	Morse inequalities for ordered eigenvalues of generic self-adjoint families	2024	Gregory Berkolaiko Igor Zelenko
+ PDF Chat	Homology of spectral minimal partitions	2024	Gregory Berkolaiko Yaiza Canzani Graham Cox Jeremy L. Marzuola
+ PDF Chat	Exotic eigenvalues of shrinking metric graphs	2023	Gregory Berkolaiko Yves Colin de Verdìère
+	Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge	2023	Gregory Berkolaiko D. I. Borisov Marshall King
+	Morse inequalities for ordered eigenvalues of generic self-adjoint families	2023	Gregory Berkolaiko Igor Zelenko
+	Exotic eigenvalues of shrinking metric graphs	2023	Gregory Berkolaiko Yves Colin de Verdìère
+	Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge	2023	Gregory Berkolaiko D. I. Borisov Marshall King
+	The Duistermaat index and eigenvalue interlacing for self-adjoint extensions of a symmetric operator	2023	Gregory Berkolaiko Graham Cox Yuri Latushkin Selim Sukhtaiev
+ PDF Chat	Impediments to diffusion in quantum graphs: Geometry-based upper bounds on the spectral gap	2022	Gregory Berkolaiko James B. Kennedy Pavel Kurasov Delio Mugnolo
+ PDF Chat	A local test for global extrema in the dispersion relation of a periodic graph	2022	Gregory Berkolaiko Yaiza Canzani Graham Cox Jeremy L. Marzuola
+ PDF Chat	Stability of spectral partitions and the Dirichlet-to-Neumann map	2022	Gregory Berkolaiko Yaiza Canzani Graham Cox Jeremy L. Marzuola
+ PDF Chat	Computing Nodal Deficiency with a Refined Dirichlet-to-Neumann Map	2022	Gregory Berkolaiko Graham Cox Bernard Helffer Mikael Persson Sundqvist
+ PDF Chat	Universality of Nodal Count Distribution in Large Metric Graphs	2022	Lior Alon Ram Band Gregory Berkolaiko
+ PDF Chat	Spectral shift via “lateral” perturbation	2022	Gregory Berkolaiko Peter Kuchment
+ PDF Chat	Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	2022	Gregory Berkolaiko Mahmood Ettehad
+	Computing nodal deficiency with a refined Dirichlet-to-Neumann map	2022	Gregory Berkolaiko Graham Cox Bernard Helffer Mikael Persson Sundqvist
+	Stability of spectral partitions and the Dirichlet-to-Neumann map	2022	Gregory Berkolaiko Yaiza Canzani Graham Cox Jeremy L. Marzuola
+	Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap	2022	Gregory Berkolaiko James B. Kennedy Pavel Kurasov Delio Mugnolo
+ PDF Chat	Universality of nodal count distribution in large metric graphs	2021	Lior Alon Ram Band Gregory Berkolaiko
+ PDF Chat	Convergence of moments of twisted COE matrices	2021	Gregory Berkolaiko Laura Booton
+	Three dimensional elastic beam frames: rigid joint conditions in variational and differential formulation	2021	Gregory Berkolaiko Mahmood Ettehad
+ PDF Chat	Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices	2021	Gregory Berkolaiko Advait Parulekar
+	Edge-localized states on quantum graphs in the limit of large mass	2020	Dmitry E. Pelinovsky Gregory Berkolaiko Jeremy L. Marzuola
+ PDF Chat	Degenerate band edges in periodic quantum graphs	2020	Gregory Berkolaiko Minh Kha
+	Degenerate Band Edges in Maximal Abelian Coverings of Quantum Graphs	2020	Gregory Berkolaiko Minh Kha
+	A quadratically convergent iterative scheme for locating conical degeneracies in the spectra of parametric self-adjoint matrices.	2020	Gregory Berkolaiko Advait Parulekar
+	Edge-localized states on quantum graphs in the limit of large mass	2019	Gregory Berkolaiko Jeremy L. Marzuola Dmitry E. Pelinovsky
+ PDF Chat	Limits of quantum graph operators with shrinking edges	2019	Gregory Berkolaiko Yuri Latushkin Selim Sukhtaiev
+	Surgery principles for the spectral analysis of quantum graphs	2019	Gregory Berkolaiko James B. Kennedy Pavel Kurasov Delio Mugnolo
+ PDF Chat	Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map	2019	Gregory Berkolaiko Graham Cox Jeremy L. Marzuola
+	Optimizing Consistent Merging and Pruning of Subgraphs in Network Tomography	2019	Mahmood Ettehad Nick Duffield Gregory Berkolaiko
+ PDF Chat	Graph reconstruction from path correlation data	2018	Gregory Berkolaiko Nick Duffield Mahmood Ettehad Kyriakos Manousakis
+ PDF Chat	Maximal scarring for eigenfunctions of quantum graphs	2018	Gregory Berkolaiko Brian Winn
+ PDF Chat	Symmetry and Dirac points in graphene spectrum	2018	Gregory Berkolaiko Andrew Comech
+ PDF Chat	Nodal Statistics on Quantum Graphs	2018	Lior Alon Ram Band Gregory Berkolaiko
+ PDF Chat	Eigenspaces of symmetric graphs are not typically irreducible	2018	Gregory Berkolaiko Wen Liu
+	Quotients of finite-dimensional operators by symmetry representations	2017	Ram Band Gregory Berkolaiko Christopher Joyner Ryan Wen Liu
+	Edge connectivity and the spectral gap of combinatorial and quantum graphs	2017	Gregory Berkolaiko James B. Kennedy Pavel Kurasov Delio Mugnolo
+ PDF Chat	An elementary introduction to quantum graphs	2017	Gregory Berkolaiko
+	Quotients of graph operators by symmetry representations	2017	Ram Band Gregory Berkolaiko Christopher Joyner Ryan Wen Liu
+	Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph	2016	Gregory Berkolaiko Wen Liu
+ PDF Chat	An elementary introduction to quantum graphs	2016	Gregory Berkolaiko
+	Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph	2016	Gregory Berkolaiko Wen Liu
+	Inequivalent factorizations of permutations	2015	Gregory Berkolaiko J. Irving
+ PDF Chat	Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs	2015	Ram Band Gregory Berkolaiko Tracy Weyand
+ PDF Chat	Vakhitov–Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2015	Gregory Berkolaiko Andrew Comech Alim Sukhtayev
+	Symmetry and Dirac points in graphene spectrum	2014	Gregory Berkolaiko Andrew Comech
+	Inequivalent Factorizations of Permutations	2014	Gregory Berkolaiko J. Irving
+	Inequivalent Factorizations of Permutations	2014	Gregory Berkolaiko John Irving
+	Symmetry and Dirac points in graphene spectrum	2014	Gregory Berkolaiko Andrew Comech
+ PDF Chat	Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions	2013	Gregory Berkolaiko Tracy Weyand
+ PDF Chat	Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions	2013	Gregory Berkolaiko Jack Kuipers
+ PDF Chat	Nodal count of graph eigenfunctions via magnetic perturbation	2013	Gregory Berkolaiko
+ PDF Chat	Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach	2013	Gregory Berkolaiko Jack Kuipers
+ PDF Chat	Universality of the Momentum Band Density of Periodic Networks	2013	Ram Band Gregory Berkolaiko
+	Nodal count and Dirac points in the spectrum of graphene graphs	2013	Gregory Berkolaiko
+	Energy criterion of linear instability of solitary waves in models of classical self-interacting spinor fields	2013	Andrew Comech Gregory Berkolaiko Alim Sukhtayev
+	Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2013	Gregory Berkolaiko Andrew Comech Alim Sukhtayev
+ PDF Chat	Corrigendum: On the use of a discrete form of the Itô formula in the article ‘Almost sure asymptotic stability analysis of the -Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations’	2013	Gregory Berkolaiko Evelyn Buckwar Cónall Kelly Alexandra Rodkina
+	Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2013	Gregory Berkolaiko Andrew Comech Alim Sukhtayev
+	Spectra of quantum graphs	2012	Gregory Berkolaiko Peter Kuchment
+	Symplectic geometry and extension theory	2012	Gregory Berkolaiko Peter Kuchment
+	Spectra of periodic graphs	2012	Gregory Berkolaiko Peter Kuchment
+	Operators on graphs. Quantum graphs	2012	Gregory Berkolaiko Peter Kuchment
+	Spectra of quantum graphs. Special topics	2012	Gregory Berkolaiko Peter Kuchment
+ PDF Chat	Critical Partitions and Nodal Deficiency of Billiard Eigenfunctions	2012	Gregory Berkolaiko Peter Kuchment Uzy Smilansky
+ PDF Chat	Universality in chaotic quantum transport: The concordance between random-matrix and semiclassical theories	2012	Gregory Berkolaiko Jack Kuipers
+ PDF Chat	Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count	2012	Gregory Berkolaiko Hillel Raz Uzy Smilansky
+ PDF Chat	Almost sure asymptotic stability analysis of the <i>θ</i>-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations	2012	Gregory Berkolaiko Evelyn Buckwar Cónall Kelly Alexandra Rodkina
+ PDF Chat	Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths	2012	Gregory Berkolaiko Peter Kuchment
+ PDF Chat	On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D	2012	Gregory Berkolaiko Andrew Comech
+ PDF Chat	The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions	2011	Ram Band Gregory Berkolaiko Hillel Raz Uzy Smilansky
+ PDF Chat	Dynamics of Nodal Points and the Nodal Count on a Family of Quantum Graphs	2011	Ram Band Gregory Berkolaiko Uzy Smilansky
+ PDF Chat	Transport moments beyond the leading order	2011	Gregory Berkolaiko Jack Kuipers
+ PDF Chat	Density of states of chaotic Andreev billiards	2011	Jack Kuipers Thomas Engl Gregory Berkolaiko Cyril Petitjean Daniel Waltner Klaus Richter
+	Sharp pathwise asymptotic stability criteria for planar systems of linear stochastic difference equations	2011	Gregory Berkolaiko Cónall Kelly Alexandra Rodkina
+	Non-Exponential Stability and Decay Rates in Nonlinear Stochastic Homogeneous Difference Equations	2010	John A. D. Appleby Gregory Berkolaiko A. Rodkina
+ PDF Chat	Relationship between scattering matrix and spectrum of quantum graphs	2010	Gregory Berkolaiko Brian Winn
+ PDF Chat	Semiclassical Gaps in the Density of States of Chaotic Andreev Billiards	2010	Jack Kuipers Daniel Waltner Cyril Petitjean Gregory Berkolaiko Klaus Richter
+	Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths	2010	Gregory Berkolaiko Peter Kuchment
+ PDF Chat	Moments of the Wigner delay times	2009	Gregory Berkolaiko Jack Kuipers
+ PDF Chat	Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise	2009	John A. D. Appleby Gregory Berkolaiko Alexandra Rodkina
+ PDF Chat	Mathematical aspects of vacuum energy on quantum graphs	2008	Gregory Berkolaiko J M Harrison Justin H. Wilson
+ PDF Chat	Full counting statistics of chaotic cavities from classical action correlations	2008	Gregory Berkolaiko J M Harrison Marcel Novaes
+	On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations	2008	John A. D. Appleby Gregory Berkolaiko A. Rodkina
+	On inequivalent factorizations of a cycle	2008	Gregory Berkolaiko J M Harrison Marcel Novaes
+	Two constructions of quantum graphs and two types of spectral statistics	2008	Gregory Berkolaiko
+	Type of dynamic phase transition in bistable equations	2007	Gregory Berkolaiko Michael Grinfeld
+ PDF Chat	A Lower Bound for Nodal Count on Discrete and Metric Graphs	2007	Gregory Berkolaiko
+	ON THE ASYMPTOTIC BEHAVIOR OF THE MOMENTS OF SOLUTIONS OF STOCHASTIC DIFFERENCE EQUATIONS	2007	John A. D. Appleby Gregory Berkolaiko Alexandra Rodkina
+ PDF Chat	Quantum Ergodicity for Graphs Related to Interval Maps	2007	Gregory Berkolaiko Jonathan P. Keating Uzy Smilansky
+	ON THE OSCILLATION OF SOLUTIONS OF STOCHASTIC DIFFERENCE EQUATIONS WITH STATE-INDEPENDENT PERTURBATIONS	2007	John A. D. Appleby Gregory Berkolaiko Alexandra Rodkina
+	Star graphs and ÿ billiards	2007	Gregory Berkolaiko
+ PDF Chat	Almost sure convergence of solutions to non-homogeneous stochastic difference equation	2006	Gregory Berkolaiko Alexandra Rodkina
+	Multiplicity of periodic solutions in bistable systems	2006	Gregory Berkolaiko Michael Grinfeld
+ PDF Chat	Multiplicity of periodic solutions in bistable equations	2006	Gregory Berkolaiko Michael Grinfeld
+ PDF Chat	Diagonal approximation of the form factor of the unitary group	2006	Gregory Berkolaiko
+ PDF Chat	Form factor expansion for large graphs: a diagrammatic approach	2006	Gregory Berkolaiko
+	Form factor expansion for large graphs: a diagrammatic approach	2006	Gregory Berkolaiko
+	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	2006	Gregory Berkolaiko
+ PDF Chat	No Quantum Ergodicity for Star Graphs	2004	Gregory Berkolaiko Jonathan P. Keating Brian Winn
+	On Asymptotic Behavior of Solutions to Linear Discrete Stochastic Equation	2004	Alexandra Rodkina Gregory Berkolaiko
+ PDF Chat	Form factor for large quantum graphs: evaluating orbits with time reversal	2004	Gregory Berkolaiko
+ PDF Chat	Intermediate Wave Function Statistics	2003	Gregory Berkolaiko J. P. Keating Brian Winn
+ PDF Chat	Form factor for a family of quantum graphs: an expansion to third order	2003	Gregory Berkolaiko Holger Schanz Robert S. Whitney
+ PDF Chat	Leading Off-Diagonal Correction to the Form Factor of Large Graphs	2002	Gregory Berkolaiko Holger Schanz Robert S. Whitney
+ PDF Chat	Structural properties of self-attracting walks	2001	Anke Ordemann E. Tomer Gregory Berkolaiko Shlomo Havlin Armin Bunde
+ PDF Chat	Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices	2001	Gregory Berkolaiko
+	Spectral gap of doubly stochastic matrices generated from CUE	2001	Gregory Berkolaiko
+ PDF Chat	Star graphs and \v Seba billiards	2001	Gregory Berkolaiko E. Bogomolny Jonathan P. Keating
+	Star graphs and Seba billiards	2001	Gregory Berkolaiko E. Bogomolny J.P. Keating
+ PDF Chat	Swelling-collapse transition of self-attracting walks	2000	Anke Ordemann Gregory Berkolaiko Shlomo Havlin Armin Bunde
+ PDF Chat	Dynamics of piecewise linear interval maps with hysteresis	1999	Gregory Berkolaiko
+	Number of distinct sites visited by Lévy flights injected into a d-dimensional lattice	1998	Gregory Berkolaiko Shlomo Havlin
+	Territory covered by N Lévy flights on d-dimensional lattices	1997	Gregory Berkolaiko Shlomo Havlin
+	On a Peetre functional	1997	Gregory Berkolaiko
+	Expected number of distinct sites visited by<i>N</i>Lévy flights on a one-dimensional lattice	1996	Gregory Berkolaiko Shlomo Havlin Hernán Larralde George H. Weiss

Common Coauthors

Coauthor	Papers Together
Graham Cox	11
Jeremy L. Marzuola	9
Ram Band	9
Andrew Comech	8
Jack Kuipers	7
Alexandra Rodkina	6
Yaiza Canzani	6
Peter Kuchment	5
Peter Kuchment	5
Shlomo Havlin	5
Uzy Smilansky	5
John A. D. Appleby	5
Delio Mugnolo	4
Brian Winn	4
Alim Sukhtayev	4
Pavel Kurasov	4
James B. Kennedy	4
Mahmood Ettehad	4
Selim Sukhtaiev	3
Jonathan P. Keating	3
Yuri Latushkin	3
Michael Grinfeld	3
Cónall Kelly	3
Lior Alon	3
J. M. Harrison	3
J. Irving	2
Igor Zelenko	2
Marcel Novaes	2
Anke Ordemann	2
Robert S. Whitney	2
Dmitry E. Pelinovsky	2
Nick Duffield	2
Minh Kha	2
Armin Bunde	2
Cyril Petitjean	2
Daniel Waltner	2
Ryan Wen Liu	2
Evelyn Buckwar	2
Advait Parulekar	2
Christopher Joyner	2
D. I. Borisov	2
Hillel Raz	2
Holger Schanz	2
Mikael Persson Sundqvist	2
Tracy Weyand	2
Klaus Richter	2
Wen Liu	2
Marshall King	2
Yves Colin de Verdìère	2
Alexandra Rodkina	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Periodic Orbit Theory and Spectral Statistics for Quantum Graphs	1999	Tsampikos Kottos Uzy Smilansky	21
+ PDF Chat	On the level spacing distribution in quantum graphs	2000	Felipe Barra	17
+ PDF Chat	Quantum graphs: Applications to quantum chaos and universal spectral statistics	2006	Sven Gnutzmann∥ Uzy Smilansky	15
+ PDF Chat	Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths	2012	Gregory Berkolaiko Peter Kuchment	14
+	A characteristic equation associated to an eigenvalue problem on c2-networks	1985	Joachim von Below	13
+ PDF Chat	Genericity of simple eigenvalues for a metric graph	2005	Leonid Friedlander	13
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	13
+ PDF Chat	A Lower Bound for Nodal Count on Discrete and Metric Graphs	2007	Gregory Berkolaiko	13
+	Correlations between Periodic Orbits and their R?le in Spectral Statistics	2001	Martin Sieber Klaus Richter	12
+ PDF Chat	Magnetic interpretation of the nodal defect on graphs	2013	Yves Colin de Verdìère	12
+ PDF Chat	Dynamics of Nodal Points and the Nodal Count on a Family of Quantum Graphs	2011	Ram Band Gregory Berkolaiko Uzy Smilansky	12
+ PDF Chat	Nodal count of graph eigenfunctions via magnetic perturbation	2013	Gregory Berkolaiko	11
+	Semiclassical theory of spectral rigidity	1985	Michael Berry	11
+ PDF Chat	Unitary-stochastic matrix ensembles and spectral statistics	2001	Gregor Tanner	10
+	Eigenvalue and nodal properties on quantum graph trees*	2006	Philipp Schapotschnikow	10
+ PDF Chat	Kirchhoff's rule for quantum wires	1999	Vadim Kostrykin Robert Schrader	10
+	Surgery principles for the spectral analysis of quantum graphs	2019	Gregory Berkolaiko James B. Kennedy Pavel Kurasov Delio Mugnolo	9
+ PDF Chat	The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions	2011	Ram Band Gregory Berkolaiko Hillel Raz Uzy Smilansky	9
+	Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph	2016	Gregory Berkolaiko Wen Liu	9
+ PDF Chat	Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems	1996	Piet W. Brouwer C. W. J. Beenakker	9
+ PDF Chat	On the Spectral Gap of a Quantum Graph	2016	James B. Kennedy Pavel Kurasov Gabriela Malenová Delio Mugnolo	9
+ PDF Chat	An overview of periodic elliptic operators	2016	Peter Kuchment	9
+ PDF Chat	Nodal Domains Statistics: A Criterion for Quantum Chaos	2002	Galya Blum Sven Gnutzmann∥ Uzy Smilansky	8
+ PDF Chat	Full counting statistics of chaotic cavities from classical action correlations	2008	Gregory Berkolaiko J M Harrison Marcel Novaes	8
+ PDF Chat	Hermitian symplectic geometry and extension theory	2000	M. Harmer	8
+ PDF Chat	Semiclassical Theory of Chaotic Quantum Transport	2002	Klaus Richter Martin Sieber	8
+ PDF Chat	Nodal domains and spectral minimal partitions	2007	Susanna Terracini Bernard Helffer Thomas Hoffmann-Ostenhof	8
+ PDF Chat	Nodal counting on quantum graphs	2004	Sven Gnutzmann∥ Uzy Smilansky Joachim Weber	8
+ PDF Chat	Limits of quantum graph operators with shrinking edges	2019	Gregory Berkolaiko Yuri Latushkin Selim Sukhtaiev	8
+ PDF Chat	Semiclassical Theory of Chaotic Conductors	2006	Stefan Heusler Sebastian Müller P. A. Braun Fritz Haake	8
+	Quantum graphs: I. Some basic structures	2004	Peter Kuchment	8
+ PDF Chat	Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions	2013	Gregory Berkolaiko Tracy Weyand	8
+	Semiclassical approach to chaotic quantum transport	2007	Sebastian Müller Stefan Heusler P. A. Braun Fritz Haake	7
+ PDF Chat	Nodal domains on isospectral quantum graphs: the resolution of isospectrality?	2006	Ram Band Talia Shapira Uzy Smilansky	7
+ PDF Chat	Leading Off-Diagonal Correction to the Form Factor of Large Graphs	2002	Gregory Berkolaiko Holger Schanz Robert S. Whitney	7
+ PDF Chat	The electronic properties of graphene	2009	A. H. Castro Neto F. Guinea N. M. R. Peres Kostya S. Novoselov A. K. Geǐm	7
+ PDF Chat	Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs	2015	Ram Band Gregory Berkolaiko Tracy Weyand	7
+	Spectral Analysis on Graph-like Spaces	2012	Olaf Post	7
+ PDF Chat	Random-matrix theory of quantum transport	1997	C. W. J. Beenakker	7
+ PDF Chat	Periodic-orbit theory of universality in quantum chaos	2005	Sebastian Müller Stefan Heusler P. A. Braun Fritz Haake Alexander Altland	7
+	Chaotic Scattering on Graphs	2000	Tsampikos Kottos Uzy Smilansky	7
+ PDF Chat	Quantum Graphs which Optimize the Spectral Gap	2017	Ram Band Guillaume Lévy	7
+	Unbounded Self-adjoint Operators on Hilbert Space	2012	Konrad Schmüdgen	7
+ PDF Chat	Semiclassical Foundation of Universality in Quantum Chaos	2004	Sebastian Müller Stefan Heusler P. A. Braun Fritz Haake Alexander Altland	7
+ PDF Chat	Semiclassical Gaps in the Density of States of Chaotic Andreev Billiards	2010	Jack Kuipers Daniel Waltner Cyril Petitjean Gregory Berkolaiko Klaus Richter	7
+ PDF Chat	An elementary introduction to quantum graphs	2016	Gregory Berkolaiko	7
+	Semigroup Methods for Evolution Equations on Networks	2014	Delio Mugnolo	7
+ PDF Chat	Universality of the Momentum Band Density of Periodic Networks	2013	Ram Band Gregory Berkolaiko	6
+ PDF Chat	Semiclassical theory of quantum chaotic transport: Phase-space splitting, coherent backscattering, and weak localization	2006	Philippe Jacquod Robert S. Whitney	6
+ PDF Chat	Form factor for a family of quantum graphs: an expansion to third order	2003	Gregory Berkolaiko Holger Schanz Robert S. Whitney	6