Gregory Berkolaiko

2.0k total citations · 1 hit paper
52 papers, 1.1k citations indexed

About

Gregory Berkolaiko is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Gregory Berkolaiko has authored 52 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Mathematical Physics, 22 papers in Statistical and Nonlinear Physics and 13 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Gregory Berkolaiko's work include Quantum chaos and dynamical systems (19 papers), Spectral Theory in Mathematical Physics (15 papers) and Graph theory and applications (7 papers). Gregory Berkolaiko is often cited by papers focused on Quantum chaos and dynamical systems (19 papers), Spectral Theory in Mathematical Physics (15 papers) and Graph theory and applications (7 papers). Gregory Berkolaiko collaborates with scholars based in United States, Israel and United Kingdom. Gregory Berkolaiko's co-authors include Peter Kuchment, Shlomo Havlin, Jack Kuipers, Jonathan P. Keating, Ram Band, Uzy Smilansky, Michael Grinfeld, Robert S. Whitney, Wen Liu and Jeremy L. Marzuola and has published in prestigious journals such as Physical Review Letters, Physical Review B and Communications in Mathematical Physics.

In The Last Decade

Gregory Berkolaiko

48 papers receiving 1.1k citations

Hit Papers

Introduction to Quantum G... 2012 2026 2016 2021 2012 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Introduction to Quantum Graphs
    2012 435 citations Gregory Berkolaiko, Peter Kuchment Mathematical surveys and monographs profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gregory Berkolaiko United States 17 587 454 330 258 139 52 1.1k
Pavel Kurasov Sweden 21 1.2k 2.1× 643 1.4× 620 1.9× 560 2.2× 165 1.2× 112 1.7k
Francis Nier France 20 602 1.0× 435 1.0× 343 1.0× 236 0.9× 37 0.3× 46 1.1k
Peter D. Hislop United States 18 1.1k 2.0× 496 1.1× 412 1.2× 546 2.1× 73 0.5× 79 1.7k
Franco Vivaldi United Kingdom 22 639 1.1× 1.2k 2.6× 211 0.6× 195 0.8× 286 2.1× 71 1.6k
Lawrence E. Thomas United States 16 480 0.8× 328 0.7× 354 1.1× 156 0.6× 47 0.3× 46 937
Lorenzo Sadun United States 21 324 0.6× 254 0.6× 481 1.5× 240 0.9× 165 1.2× 74 1.3k
Ovidiu Costin United States 17 353 0.6× 352 0.8× 163 0.5× 120 0.5× 181 1.3× 81 997
David Damanik United States 22 988 1.7× 503 1.1× 243 0.7× 554 2.1× 167 1.2× 121 1.5k
Yisong Yang United States 20 737 1.3× 462 1.0× 175 0.5× 338 1.3× 124 0.9× 125 1.6k
S P Novikov United States 20 544 0.9× 747 1.6× 446 1.4× 119 0.5× 477 3.4× 88 1.6k

Countries citing papers authored by Gregory Berkolaiko

Since Specialization
Citations

This map shows the geographic impact of Gregory Berkolaiko's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gregory Berkolaiko with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gregory Berkolaiko more than expected).

Fields of papers citing papers by Gregory Berkolaiko

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gregory Berkolaiko. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gregory Berkolaiko. The network helps show where Gregory Berkolaiko may publish in the future.

Co-authorship network of co-authors of Gregory Berkolaiko

This figure shows the co-authorship network connecting the top 25 collaborators of Gregory Berkolaiko. A scholar is included among the top collaborators of Gregory Berkolaiko based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gregory Berkolaiko. Gregory Berkolaiko is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Berkolaiko, Gregory, et al.. (2023). Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge. Analysis and Mathematical Physics. 13(6).
2.
Berkolaiko, Gregory & Peter Kuchment. (2022). Spectral shift via “lateral” perturbation. Journal of Spectral Theory. 12(1). 83–104. 5 indexed citations
3.
Berkolaiko, Gregory, James B. Kennedy, Pavel Kurasov, & Delio Mugnolo. (2022). Impediments to diffusion in quantum graphs: Geometry-based upper bounds on the spectral gap. Proceedings of the American Mathematical Society.
4.
Berkolaiko, Gregory, et al.. (2022). Computing Nodal Deficiency with a Refined Dirichlet-to-Neumann Map. Journal of Geometric Analysis. 32(10). 1 indexed citations
5.
Pelinovsky, Dmitry E., Gregory Berkolaiko, & Jeremy L. Marzuola. (2020). 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. 18 indexed citations
6.
Berkolaiko, Gregory, et al.. (2020). Degenerate Band Edges in Maximal Abelian Coverings of Quantum Graphs. arXiv (Cornell University). 1 indexed citations
7.
Berkolaiko, Gregory & Andrew Comech. (2019). On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D. Springer Link (Chiba Institute of Technology). 7 indexed citations
8.
Berkolaiko, Gregory, et al.. (2018). Graph reconstruction from path correlation data. Inverse Problems. 35(1). 15001–15001. 6 indexed citations
9.
Berkolaiko, Gregory & Wen Liu. (2016). Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph. Journal of Mathematical Analysis and Applications. 445(1). 803–818. 18 indexed citations
10.
Band, Ram & Gregory Berkolaiko. (2013). Universality of the Momentum Band Density of Periodic Networks. Physical Review Letters. 111(13). 130404–130404. 16 indexed citations
11.
Berkolaiko, Gregory & Peter Kuchment. (2012). Introduction to Quantum Graphs. Mathematical surveys and monographs. 435 indexed citations breakdown →
12.
Berkolaiko, Gregory. (2006). Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah. American Mathematical Society eBooks. 5 indexed citations
13.
Rodkina, Alexandra & Gregory Berkolaiko. (2004). On Asymptotic Behavior of Solutions to Linear Discrete Stochastic Equation. 5 indexed citations
14.
Berkolaiko, Gregory. (2003). . Journal of Physics A Mathematical and General. 36(49). 12345–12346.
15.
Berkolaiko, Gregory, J. P. Keating, & Brian Winn. (2003). Intermediate Wave Function Statistics. Physical Review Letters. 91(13). 134103–134103. 19 indexed citations
16.
Berkolaiko, Gregory, Holger Schanz, & Robert S. Whitney. (2002). Leading Off-Diagonal Correction to the Form Factor of Large Graphs. Physical Review Letters. 88(10). 104101–104101. 27 indexed citations
17.
Tomer, Elad, et al.. (2001). Structural properties of self-attracting walks. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 64(4). 46117–46117. 16 indexed citations
18.
Berkolaiko, Gregory, et al.. (1998). Analysis of Carleman Representation of Analytical Recursions. Journal of Mathematical Analysis and Applications. 224(1). 81–90. 1 indexed citations
19.
Berkolaiko, Gregory, et al.. (1997). Analytical Solution of the Logistic Equation. International Journal of Bifurcation and Chaos. 7(4). 837–838. 3 indexed citations
20.
Berkolaiko, Gregory, et al.. (1995). “Logistic map”: an analytical solution. Physica A Statistical Mechanics and its Applications. 218(3-4). 457–460. 10 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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