Berkolaiko, Gregory individual record
Professor
Positions:
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
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.
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  • Berkolaiko, G., & Booton, L. (2021). Convergence of moments of twisted COE matrices. Journal of Mathematical Physics. 62(6), 063502-063502.
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  • 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.
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  • Berkolaiko, G., & Kha, M. (2020). Degenerate band edges in periodic quantum graphs. Letters in Mathematical Physics. 110(11), 2965-2982.
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  • 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.
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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.
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  • 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.
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  • Berkolaiko, G. (2008). Two constructions of quantum graphs and two types of spectral statistics. ANALYSIS ON GRAPHS AND ITS APPLICATIONS. 77, 315-329.
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  • 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.
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  • 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.
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Reports1
  • Berkolaiko, G. (1998). Dynamics of piecewise linear interval maps with hysteresis. (HPL-BRIMS-98), 1-18.
chaired theses and dissertations
Email
gberkolaiko@tamu.edu
First Name
Gregory
Last Name
Berkolaiko
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA