Gregory Berkolaiko

2.0k citations
52 papers · 1.1k indexed · 1 hit paper · h-index 17
Topics
Quantum chaos and dynamical systems (19 papers)Spectral Theory in Mathematical Physics (15 papers)Graph theory and applications (7 papers)

In The Last Decade

Gregory Berkolaiko

48 papers receiving 1.1k citations

Hit Papers

Introduction to Quantum Graphs20122026201620212012100200300400

Peers

Gregory Berkolaiko
Comparison fields: 5 of 74
  • Mathematical Physics 587
  • Statistical and Nonlinear Physics 454
  • Atomic and Molecular Physics, and Optics 330
  • Computational Theory and Mathematics 258
  • Geometry and Topology 139
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David Damanik United States
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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
#WorkIndexed citations
1 0
2 5
3 18
4
Degenerate Band Edges in Maximal Abelian Coverings of Quantum Graphs
1
5 7
6 6
7 18
8 3
9 5
10 16
11
Introduction to Quantum Graphsbreakdown →
435
12 23
13
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
5
14 127
15
0
16 19
17 27
18 16
19 1
20 3

About Gregory Berkolaiko

Gregory Berkolaiko is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Geometry and Topology, having authored 52 papers that have together received 1.1k indexed citations. Recurring topics across this work include Quantum chaos and dynamical systems (19 papers), Spectral Theory in Mathematical Physics (15 papers) and Graph theory and applications (7 papers). The work is most often cited by research in Mathematical Physics (587 citations), Statistical and Nonlinear Physics (454 citations) and Computational Theory and Mathematics (258 citations). Gregory Berkolaiko has collaborated with scholars based in United States, Israel and United Kingdom. Frequent co-authors include Peter Kuchment, Shlomo Havlin, Jack Kuipers, Jonathan P. Keating, Ram Band, Uzy Smilansky, Michael Grinfeld, Holger Schanz, Jeremy L. Marzuola and Robert S. Whitney. Their work appears in journals such as Physical Review Letters, Physical Review B and Communications in Mathematical Physics.

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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