Gregory Berkolaiko

Available identifiers

zbMath Open berkolaiko.gregoryWikidataQ59613495 ScholiaQ59613495MaRDI QIDQ394164

List of research outcomes

Publication	Date of Publication	Type
Exotic eigenvalues of shrinking metric graphs	2024-02-08	Paper
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	2023-12-12	Paper
Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge	2023-11-20	Paper
Impediments to diffusion in quantum graphs: Geometry-based upper bounds on the spectral gap	2023-05-24	Paper
Morse inequalities for ordered eigenvalues of generic self-adjoint families	2023-04-09	Paper
A local test for global extrema in the dispersion relation of a periodic graph	2022-10-18	Paper
Stability of spectral partitions and the Dirichlet-to-Neumann map	2022-09-14	Paper
Spectral shift via ``lateral perturbation	2022-03-31	Paper
Edge-localized states on quantum graphs in the limit of large mass	2021-08-18	Paper
Convergence of moments of twisted COE matrices	2021-07-09	Paper
Universality of nodal count distribution in large metric graphs	2021-06-10	Paper
Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices	2021-04-08	Paper
Degenerate band edges in periodic quantum graphs	2021-02-03	Paper
Surgery principles for the spectral analysis of quantum graphs	2019-09-26	Paper
Limits of quantum graph operators with shrinking edges	2019-07-19	Paper
Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map	2019-07-01	Paper
Graph reconstruction from path correlation data	2019-01-14	Paper
Nodal statistics on quantum graphs	2018-09-13	Paper
Symmetry and Dirac points in graphene spectrum	2018-08-31	Paper
An elementary introduction to quantum graphs	2018-03-16	Paper
Quotients of graph operators by symmetry representations	2017-11-02	Paper
Edge connectivity and the spectral gap of combinatorial and quantum graphs	2017-10-12	Paper
https://portal.mardi4nfdi.de/entity/Q2813751	2016-06-24	Paper
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs	2016-01-12	Paper
Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions	2015-09-09	Paper
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths	2015-08-03	Paper
Vakhitov–Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2015-04-01	Paper
Sharp pathwise asymptotic stability criteria for planar systems of linear stochastic difference equations	2015-03-02	Paper
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’	2014-07-11	Paper
Almost sure asymptotic stability analysis of the θ-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations	2014-07-11	Paper
Nodal count of graph eigenfunctions via magnetic perturbation	2014-01-24	Paper
Transport moments beyond the leading order	2013-11-20	Paper
Universality of the momentum band density of periodic networks	2013-04-22	Paper
https://portal.mardi4nfdi.de/entity/Q4904449	2013-01-30	Paper
Critical partitions and nodal deficiency of billiard eigenfunctions	2013-01-29	Paper
On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D	2012-07-16	Paper
Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count	2012-06-01	Paper
Dynamics of nodal points and the nodal count on a family of quantum graphs	2012-05-23	Paper
The number of nodal domains on quantum graphs as a stability index of graph partitions	2012-05-16	Paper
https://portal.mardi4nfdi.de/entity/Q2998464	2011-05-18	Paper
Moments of the Wigner delay times	2010-02-09	Paper
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise	2009-06-02	Paper
A lower bound for nodal count on discrete and metric graphs	2008-11-25	Paper
On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations	2008-09-30	Paper
On inequivalent factorizations of a cycle	2008-09-19	Paper
Multiplicity of periodic solutions in bistable equations	2008-05-22	Paper
https://portal.mardi4nfdi.de/entity/Q5427931	2007-11-27	Paper
Quantum ergodicity for graphs related to interval maps	2007-10-11	Paper
https://portal.mardi4nfdi.de/entity/Q3414407	2007-01-08	Paper
Almost sure convergence of solutions to non-homogeneous stochastic difference equation	2006-07-13	Paper
Form factor for large quantum graphs: evaluating orbits with time reversal	2005-07-26	Paper
Form factor for a family of quantum graphs: an expansion to third order	2004-02-23	Paper
Star graphs and \v Seba billiards	2001-06-10	Paper
Two-point spectral correlations for star graphs	2000-04-25	Paper

Research outcomes over time

Doctoral students

No records found.

Known relations from the MaRDI Knowledge Graph

Property	Value
MaRDI profile type	MaRDI person profile
instance of	human

This page was built for person: Gregory Berkolaiko