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.
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
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).
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.
Simon, Barry. (2015). Operator theory: a comprehensive course in analysis. CERN Document Server (European Organization for Nuclear Research).9 indexed citations
4.
Simon, Barry. (2010). Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials (M. B. Porter Lectures). Princeton University Press eBooks.16 indexed citations
5.
Pushnitski, Alexander, et al.. (2008). On the Koplienko Spectral Shift Function. I. Basics. Mathematical Physics Analysis and Geometry. 63–107.17 indexed citations
Río, Rafael del, Svetlana Jitomirskaya, Nikolai Makarov, & Barry Simon. (1994). Singular continuous spectrum is generic. Bulletin of the American Mathematical Society. 31(2). 208–212.24 indexed citations
Simon, Barry. (1993). The statistical mechanics of lattice gases. CERN Document Server (European Organization for Nuclear Research).279 indexed citations
Delyon, F., Barry Simon, & Bernard Souillard. (1985). From power pure point to continuous spectrum in disordered systems. French digital mathematics library (Numdam). 42(3). 283–309.54 indexed citations
14.
Kirsch, Werner, S. Kotani, & Barry Simon. (1985). Absence of absolutely continuous spectrum for some one dimensional random but deterministic Schrödinger operators. French digital mathematics library (Numdam). 42(4). 383–406.21 indexed citations
15.
Simon, Barry. (1983). Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima : asymptotic expansions. French digital mathematics library (Numdam). 38(3). 295–308.117 indexed citations
16.
Simon, Barry. (1981). Convergence in trace ideals. Proceedings of the American Mathematical Society. 83(1). 39–43.13 indexed citations
17.
Simon, Barry. (1978). New rigorous existence theorems for phase transitions in model systems. 2. 287.5 indexed citations
18.
Simon, Barry. (1976). On the genericity of nonvanishing instability intervals in Hills equation. French digital mathematics library (Numdam). 24(1). 91–93.17 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.