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Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach

Journal of mathematical physics, 2013-11, Vol.54 (11), p.1

2013

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Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions

Journal of mathematical physics, 2013-12, Vol.54 (12), p.1

2013

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Stability of spectral partitions and the Dirichlet-to-Neumann map

Calculus of variations and partial differential equations, 2022-12, Vol.61 (6), Article 203

2022

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Maximal scarring for eigenfunctions of quantum graphs

Nonlinearity, 2018-10, Vol.31 (10), p.4812-4850

2018

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Computing Nodal Deficiency with a Refined Dirichlet-to-Neumann Map

The Journal of geometric analysis, 2022-10, Vol.32 (10), Article 246

2022

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On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D

Mathematical modelling of natural phenomena, 2012-01, Vol.7 (2), p.13-31

2012

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RELATIONSHIP BETWEEN SCATTERING MATRIX AND SPECTRUM OF QUANTUM GRAPHS

Transactions of the American Mathematical Society, 2010-12, Vol.362 (12), p.6261-6277

2010

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Full counting statistics of chaotic cavities from classical action correlations

Journal of physics. A, Mathematical and theoretical, 2008-09, Vol.41 (36), p.365102

2008

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No quantum ergodicity for star graphs

Communications in mathematical physics, 2004-09, Vol.250 (2), p.259-285

2004

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Quantum ergodicity for graphs related to interval maps

Communications in mathematical physics, 2007-07, Vol.273 (1), p.137-159

2007

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On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations

Journal of difference equations and applications, 2008-09, Vol.14 (9), p.923-951

2008

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Intermediate wave function statistics

Physical review letters, 2003-09, Vol.91 (13), p.134103-134103, Article 134103

2003

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Mathematical aspects of vacuum energy on quantum graphs

Journal of physics. A, Mathematical and theoretical, 2009-01, Vol.42 (2), p.025204-025204 (20)

2009

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Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach

Journal of mathematical physics, 2013-11, Vol.54 (11)

2013

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Inequivalent factorizations of permutations

Journal of combinatorial theory. Series A, 2016-05, Vol.140, p.1-37

2016

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Dynamics of piecewise linear interval maps with hysteresis

Dynamics and stability of systems, 1999-03, Vol.14 (1), p.57-70

Berkolaiko, G.

1999

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Leading off-diagonal correction to the form factor of large graphs

Physical review letters, 2002-03, Vol.88 (10), p.104101-104101, Article 104101

2002

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Almost sure convergence of solutions to non-homogeneous stochastic difference equation

Journal of difference equations and applications, 2006-06, Vol.12 (6), p.535-553

2006

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Analysis of Carleman Representation of Analytical Recursions

Journal of mathematical analysis and applications, 1998-08, Vol.224 (1), p.81-90

1998

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Swelling-collapse transition of self-attracting walks

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2000-02, Vol.61 (2), p.R1005-R1007

2000

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Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices

Journal of physics. A, Mathematical and general, 2001-06, Vol.34 (22), p.L319-L326

Berkolaiko, G

2001

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Diagonal approximation of the form factor of the unitary group

Journal of physics. A, Mathematical and general, 2006-01, Vol.39 (4), p.L77-L84

Berkolaiko, G

2006

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Territory covered by N Lévy flights on d-dimensional lattices

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1997-02, Vol.55 (2), p.1395-1400

1997

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Form factor for large quantum graphs: evaluating orbits with time reversal

Waves in random media, 2004-01, Vol.14 (1), p.S7-S27

Berkolaiko, Gregory

2004

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Multiplicity of periodic solutions in bistable equations

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2006-03, Vol.462 (2067), p.1001-1019

2006

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Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach

Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions

Stability of spectral partitions and the Dirichlet-to-Neumann map

Maximal scarring for eigenfunctions of quantum graphs

Computing Nodal Deficiency with a Refined Dirichlet-to-Neumann Map

On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D

RELATIONSHIP BETWEEN SCATTERING MATRIX AND SPECTRUM OF QUANTUM GRAPHS

Full counting statistics of chaotic cavities from classical action correlations

No quantum ergodicity for star graphs

Quantum ergodicity for graphs related to interval maps

On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations

Intermediate wave function statistics

Mathematical aspects of vacuum energy on quantum graphs

Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach

Inequivalent factorizations of permutations

Dynamics of piecewise linear interval maps with hysteresis

Leading off-diagonal correction to the form factor of large graphs

Almost sure convergence of solutions to non-homogeneous stochastic difference equation

Analysis of Carleman Representation of Analytical Recursions

Swelling-collapse transition of self-attracting walks

Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices

Diagonal approximation of the form factor of the unitary group

Territory covered by N Lévy flights on d-dimensional lattices

Form factor for large quantum graphs: evaluating orbits with time reversal

Multiplicity of periodic solutions in bistable equations

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