Vitaly Bergelson

3.7k total citations
125 papers, 1.5k citations indexed

About

Vitaly Bergelson is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Vitaly Bergelson has authored 125 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Discrete Mathematics and Combinatorics, 71 papers in Geometry and Topology and 58 papers in Mathematical Physics. Recurrent topics in Vitaly Bergelson's work include Limits and Structures in Graph Theory (73 papers), Advanced Topology and Set Theory (61 papers) and Mathematical Dynamics and Fractals (51 papers). Vitaly Bergelson is often cited by papers focused on Limits and Structures in Graph Theory (73 papers), Advanced Topology and Set Theory (61 papers) and Mathematical Dynamics and Fractals (51 papers). Vitaly Bergelson collaborates with scholars based in United States, Israel and United Kingdom. Vitaly Bergelson's co-authors include A. Leibman, Neil Hindman, Randall McCutcheon, Daniel Berend, I. V. Nemchinov, Joseph Rosenblatt, Bernard Host, Bryna Kra, Terence Tao and Imre Z. Ruzsa and has published in prestigious journals such as Annals of the New York Academy of Sciences, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Vitaly Bergelson

115 papers receiving 1.3k citations

Peers

Vitaly Bergelson
Comparison fields: 5 of 52
  • Discrete Mathematics and Combinatorics 991
  • Geometry and Topology 925
  • Mathematical Physics 714
  • Computational Theory and Mathematics 391
  • Algebra and Number Theory 327
Replace Alexandru Dimca with:
Alexandru Dimca France
Askold Khovanskiĭ Canada
Gregor Kemper Germany
Joseph Lehner United States
Egbert Brieskorn Germany
Sergei Gelfand United States
Corrado De Concini Italy
Michael Shapiro United States
Pierre de la Harpe Switzerland
Carlos Tomei Brazil
Alexandru Dimca France View profile →
Citations per field, relative to Vitaly Bergelson
Vitaly Bergelson · 1×
Citations per year, relative to Vitaly Bergelson
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Countries citing papers authored by Vitaly Bergelson

Since Specialization
Citations

This map shows the geographic impact of Vitaly Bergelson'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 Vitaly Bergelson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vitaly Bergelson more than expected).

Fields of papers citing papers by Vitaly Bergelson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vitaly Bergelson. 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 Vitaly Bergelson. The network helps show where Vitaly Bergelson may publish in the future.

Co-authorship network of co-authors of Vitaly Bergelson

This figure shows the co-authorship network connecting the top 25 collaborators of Vitaly Bergelson. A scholar is included among the top collaborators of Vitaly Bergelson 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 Vitaly Bergelson. Vitaly Bergelson 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
# Work Indexed citations
1 1
2
Interplay between notions of additive and multiplicative largeness
2
3 3
4
An Inverse Theorem for the Uniformity Seminorms Associated with the Action of \n \n \n \n $${{\\mathbb {F}^{\\infty}_{p}}}$$
34
5 23
6
Induced vortex formation and mixing of supersonic flows
0
7 1
8 7
9 15
10 2
11
The impact of large-scale meteoric bodies on a solid surface with splits and breaks
1
12 16
13 0
14 20
15 85
16
Self-similar development of a precursor in front of a shock wave interacting with a thermal layer
8
17 8
18 15
19
Heating of an expanding plasma by continuum radiation
1
20 0

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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