Scholars

Berkolaiko, Gregory

Professor

Positions:

Professor, Mathematics, College of Science

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Profile Summary

gberkolaiko@tamu.edu

1 979 845 3261

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ORCID

0000-0002-3335-8901

overview

My research interests focuses on spectral problems in mathematical physics. In particular, graph models, their use in physics in general and in the theory of quantum chaos in particular. I also have interest in combinatorial problems arising in mathematical physics.

education and training

Ph.D. in Mathematics, University of Bristol - (Bristol, United Kingdom) 2001
M.Phil. in Mathematics, University of Strathclyde - (Glasgow, United Kingdom) 1997
B.Sc. in Mathematics, Voronezh State University - (Voronezh, Russia) 1996

selected publications

Academic Articles42

Pelinovsky, D. E., Berkolaiko, G., & Marzuola, J. L. (2021). Edge-localized states on quantum graphs in the limit of large mass. Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38(5), 1295-1335.
Berkolaiko, G., & Booton, L. (2021). Convergence of moments of twisted COE matrices. Journal of Mathematical Physics. 62(6), 063502-063502.
Berkolaiko, G., & Parulekar, A. (2021). Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices. SIAM Journal on Matrix Analysis and Applications. 42(1), 224-242.
Berkolaiko, G., & Kha, M. (2020). Degenerate band edges in periodic quantum graphs. Letters in Mathematical Physics. 110(11), 2965-2982.
Berkolaiko, G., & Kuchment, P. (2020). Spectral shift via "lateral" perturbation.

Books2

Berkolaiko, G., & Kuchment, P. (2013). Introduction to Quantum Graphs. American Mathematical Soc..
Berkolaiko, G., & Kuchment, P. (2012). Introduction to Quantum Graphs. American Mathematical Society.

Conference Papers5

Engl, T., Kuipers, J., Berkolaiko, G., Petitjean, C., Waltner, D., & Richter, K. (2010). Semiclassics of Andreev billiards. Mesoscopic Physics in Complex Media, Mesoscopic Physics in Complex Media. 03009.
Appleby, J., Berkolaiko, G., & Rodkina, A. (2010). Non-Exponential Stability and Decay Rates in Nonlinear Stochastic Homogeneous Difference Equations. Discrete Dynamics and Difference Equations, Proceedings of the Twelfth International Conference on Difference Equations and Applications. 155-162.
Berkolaiko, G. (2008). Two constructions of quantum graphs and two types of spectral statistics. ANALYSIS ON GRAPHS AND ITS APPLICATIONS. 77, 315-329.
APPLEBY, J., BERKOLAIKO, G., & RODKINA, A. (2007). ON THE ASYMPTOTIC BEHAVIOR OF THE MOMENTS OF SOLUTIONS OF STOCHASTIC DIFFERENCE EQUATIONS. Difference Equations, Special Functions and Orthogonal Polynomials, Proceedings of the International Conference. 557-565.
Rabinovich, S., Berkolaiko, G., Buldyrev, S., Shehter, A., & Havlin, S. (1997). Analytical Solution of the Logistic Equation. International Journal of Bifurcation and Chaos. 07(04), 837-838.