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 Articles74
  • Berkolaiko, G., Duffield, N., Ettehad, M., & Manousakis, K. (2019). Graph reconstruction from path correlation data. INVERSE PROBLEMS. 35(1), 015001-015001.
    doi badge
  • Berkolaiko, G., & Liu, W. (2018). Eigenspaces of symmetric graphs are not typically irreducible. LETTERS IN MATHEMATICAL PHYSICS. 1-11.
    doi badge
  • Alon, L., Band, R., & Berkolaiko, G. (2018). Nodal Statistics on Quantum Graphs. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 1-40.
    doi badge
  • Berkolaiko, G. (2017). An elementary introduction to quantum graphs. MATHEMATICAL STUDIES ON HUMAN DISEASE DYNAMICS: EMERGING PARADIGMS AND CHALLENGES. 700, 41-72.
    doi badge
  • Berkolaiko, G., Kennedy, J. B., Kurasov, P., & Mugnolo, D. (2017). Edge connectivity and the spectral gap of combinatorial and quantum graphs. Journal of Physics A: Mathematical and Theoretical. 50(36), 365201-365201.
    doi badge
Books1
  • Berkolaiko, G., & Kuchment, P. (2013). Introduction to Quantum Graphs. American Mathematical Soc..
Conference Papers4
  • Engl, T., Kuipers, J., Berkolaiko, G., Petitjean, C., Waltner, D., & Richter, K. (2010). Semiclassics of Andreev billiards.
    doi badge
  • Berkolaiko, G. (2008). Two constructions of quantum graphs and two types of spectral statistics. SPECTRAL GEOMETRY. 77, 315-329.
  • Appleby, J., Berkolaiko, G., & Rodkina, A. (2007). ON THE ASYMPTOTIC BEHAVIOR OF THE MOMENTS OF SOLUTIONS OF STOCHASTIC DIFFERENCE EQUATIONS. 557- .
    doi badge
  • Rabinovich, S., Berkolaiko, G., Buldyrev, S., Shehter, A., & Havlin, S. (1997). Analytical solution of the logistic equation. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. 7(4), 837-838.
    doi badge
Reports1
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