William G. Faris

1.3k total citations
40 papers, 792 citations indexed

About

William G. Faris is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Statistical and Nonlinear Physics. According to data from OpenAlex, William G. Faris has authored 40 papers receiving a total of 792 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 8 papers in Atomic and Molecular Physics, and Optics and 7 papers in Statistical and Nonlinear Physics. Recurrent topics in William G. Faris's work include Spectral Theory in Mathematical Physics (12 papers), Numerical methods in inverse problems (6 papers) and Stochastic processes and statistical mechanics (5 papers). William G. Faris is often cited by papers focused on Spectral Theory in Mathematical Physics (12 papers), Numerical methods in inverse problems (6 papers) and Stochastic processes and statistical mechanics (5 papers). William G. Faris collaborates with scholars based in United States, Switzerland and France. William G. Faris's co-authors include G. Jona‐Lasinio, Richard Lavine, Barry Simon, Robert Burton, Robert S. Maier, R. A. Minlos, David M. Bressoud, Jean Lacroix and Philippe Bougerol and has published in prestigious journals such as Journal of the American Statistical Association, Communications in Mathematical Physics and Neural Networks.

In The Last Decade

William G. Faris

39 papers receiving 681 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
William G. Faris United States	14	482	228	205	202	158	40	792
S. Albeverio Germany	13	486 1.0×	123 0.5×	181 0.9×	261 1.3×	289 1.8×	42	731
Francis Nier France	20	602 1.2×	285 1.3×	236 1.2×	435 2.2×	343 2.2×	46	1.1k
H. J. Brascamp United States	9	353 0.7×	534 2.3×	216 1.1×	98 0.5×	79 0.5×	12	914
Hans L. Cycon Germany	11	924 1.9×	257 1.1×	358 1.7×	360 1.8×	257 1.6×	33	1.4k
Theodor Bröcker Germany	6	455 0.9×	262 1.1×	117 0.6×	205 1.0×	93 0.6×	10	1.1k
James S. Howland United States	17	482 1.0×	141 0.6×	186 0.9×	338 1.7×	353 2.2×	48	830
Bogusław Zegarliński United Kingdom	17	566 1.2×	264 1.2×	111 0.5×	187 0.9×	87 0.6×	79	960
Roe Goodman United States	17	769 1.6×	329 1.4×	107 0.5×	203 1.0×	112 0.7×	37	1.4k
Michael Brin United States	15	774 1.6×	279 1.2×	134 0.7×	426 2.1×	30 0.2×	27	1.1k
E. C. Titchmarsh United Kingdom	13	923 1.9×	652 2.9×	238 1.2×	315 1.6×	187 1.2×	35	2.1k

Countries citing papers authored by William G. Faris

Since Specialization

Citations

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

Fields of papers citing papers by William G. Faris

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William G. Faris. 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 William G. Faris. The network helps show where William G. Faris may publish in the future.

Co-authorship network of co-authors of William G. Faris

This figure shows the co-authorship network connecting the top 25 collaborators of William G. Faris. A scholar is included among the top collaborators of William G. Faris 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 William G. Faris. William G. Faris is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Faris, William G.. (2012). The fundamental theorem of calculus for a matroid. Journal of Mathematical Physics. 53(6). 1 indexed citations

Faris, William G.. (2008). A connected graph identity and convergence of cluster expansions. Journal of Mathematical Physics. 49(11). 8 indexed citations

Faris, William G.. (2006). Diffusion, Quantum Theory, and Radically Elementary Mathematics. Princeton University Press eBooks. 27 indexed citations

Faris, William G.. (2001). Ornstein—Uhlenbeck and Renormalization Semigroups. Moscow Mathematical Journal. 1(3). 389–405. 4 indexed citations

Faris, William G. & R. A. Minlos. (1999). A Quantum Crystal with Multidimensional Anharmonic Oscillators. Journal of Statistical Physics. 94(3-4). 365–387. 9 indexed citations

Faris, William G. & David M. Bressoud. (1993). Second Year Calculus: From Celestial Mechanics to Special Relativity.. American Mathematical Monthly. 100(9). 884–884. 2 indexed citations

Faris, William G. & Robert S. Maier. (1991). Confirmation in Experimental Mathematics: A Case Study.. Complex Systems. 5. 1 indexed citations

Burton, Robert & William G. Faris. (1991). Reliable evaluation of neural networks. Neural Networks. 4(3). 411–415. 8 indexed citations

Faris, William G., Philippe Bougerol, & Jean Lacroix. (1988). Products of Random Matrices with Applications to Schrodinger Operators.. Journal of the American Statistical Association. 83(404). 1219–1219. 1 indexed citations

10.

Faris, William G. & Robert S. Maier. (1988). Probabilistic analysis of a learning matrix. Advances in Applied Probability. 20(4). 695–705. 5 indexed citations

11.

Faris, William G. & Robert S. Maier. (1987). The Value of a Random Game: The Advantage of Rationality.. Complex Systems. 1. 3 indexed citations

12.

Faris, William G.. (1986). A localization principle for multiplicative perturbations. Journal of Functional Analysis. 67(1). 105–114. 5 indexed citations

13.

Faris, William G.. (1982). Spin correlation in stochastic mechanics. Foundations of Physics. 12(1). 1–26. 17 indexed citations

14.

Faris, William G.. (1980). Invariance in calculus. International Journal of Mathematical Education in Science and Technology. 11(1). 123–132. 1 indexed citations

15.

Faris, William G.. (1980). The Rayleigh-Schrödinger expansion of the Gibbs state of a classical Heisenberg ferromagnet. Transactions of the American Mathematical Society. 261(2). 579–587. 5 indexed citations

16.

Faris, William G.. (1979). The stochastic Heisenberg model. Journal of Functional Analysis. 32(3). 342–352. 13 indexed citations

17.

Faris, William G.. (1975). Self-Adjoint Operators. Lecture notes in mathematics. 109 indexed citations

18.

Faris, William G.. (1967). Product formulas for perturbations of linear propagators. Journal of Functional Analysis. 1(1). 93–108. 17 indexed citations

19.

Faris, William G.. (1967). The product formula for semigroups defined by Friedrichs extensions. Pacific Journal of Mathematics. 22(1). 47–70. 53 indexed citations

20.

Faris, William G.. (1967). The Trotter product formula for perturbations of semibounded operators. Bulletin of the American Mathematical Society. 73(2). 211–215. 2 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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