Barry Simon

43.7k total citations · 11 hit papers
403 papers, 25.3k citations indexed

About

Barry Simon is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Barry Simon has authored 403 papers receiving a total of 25.3k indexed citations (citations by other indexed papers that have themselves been cited), including 282 papers in Mathematical Physics, 125 papers in Statistical and Nonlinear Physics and 108 papers in Applied Mathematics. Recurrent topics in Barry Simon's work include Spectral Theory in Mathematical Physics (243 papers), Quantum chaos and dynamical systems (104 papers) and Numerical methods in inverse problems (55 papers). Barry Simon is often cited by papers focused on Spectral Theory in Mathematical Physics (243 papers), Quantum chaos and dynamical systems (104 papers) and Numerical methods in inverse problems (55 papers). Barry Simon collaborates with scholars based in United States, Israel and France. Barry Simon's co-authors include J. E. Avron, Michael C. Reed, Élliott H. Lieb, Fritz Gesztesy, Hans L. Cycon, Ira Herbst, Arnold A. Dicke, E. B. Davies, Yoram Last and Werner Kirsch and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Physical Review Letters.

In The Last Decade

Barry Simon

392 papers receiving 23.0k citations

Hit Papers

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase 1970 2026 1988 2007 1983 2010 1982 1987 1970 400 800 1.2k

Peers

Barry Simon
Comparison fields: 5 of 133
  • Mathematical Physics 14.0k
  • Atomic and Molecular Physics, and Optics 9.9k
  • Statistical and Nonlinear Physics 7.2k
  • Computational Theory and Mathematics 5.6k
  • Applied Mathematics 5.5k
Replace Élliott H. Lieb with:
Élliott H. Lieb United States
Tosio Kato United States
Sergio Albeverio Germany
Mark Kac United States
Jürg Fröhlich Switzerland
E. B. Davies United Kingdom
Michael E. Fisher United States
Michael Atiyah United Kingdom
Edward Witten United States
H. Bateman
Élliott H. Lieb United States View profile →
Citations per field, relative to Barry Simon
Barry Simon · 1×
Citations per year, relative to Barry Simon
Barry Simon · 1×

Countries citing papers authored by Barry Simon

Since Specialization
Citations

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

Fields of papers citing papers by Barry Simon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Barry Simon

This figure shows the co-authorship network connecting the top 25 collaborators of Barry Simon. A scholar is included among the top collaborators of Barry Simon 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 Barry Simon. Barry Simon 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 0
2 0
3
Operator theory: a comprehensive course in analysis
9
4
Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials (M. B. Porter Lectures)
16
5
On the Koplienko Spectral Shift Function. I. Basics
17
6 110
7
Orthogonal Polynomials on the Unit Circle breakdown →
362
8 24
9 9
10 29
11
The statistical mechanics of lattice gases
279
12 9
13 49
14
From power pure point to continuous spectrum in disordered systems
54
15
Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima : asymptotic expansions
117
16 13
17
Binding of Schrödinger particles through conspiracy of potential wells
13
18
On the genericity of nonvanishing instability intervals in Hills equation
17
19 1
20 1

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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