Richard Lavine

629 total citations
20 papers, 387 citations indexed

About

Richard Lavine is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Richard Lavine has authored 20 papers receiving a total of 387 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Mathematical Physics, 7 papers in Applied Mathematics and 6 papers in Statistical and Nonlinear Physics. Recurrent topics in Richard Lavine's work include Spectral Theory in Mathematical Physics (13 papers), Numerical methods in inverse problems (7 papers) and Advanced Mathematical Modeling in Engineering (4 papers). Richard Lavine is often cited by papers focused on Spectral Theory in Mathematical Physics (13 papers), Numerical methods in inverse problems (7 papers) and Advanced Mathematical Modeling in Engineering (4 papers). Richard Lavine collaborates with scholars based in United States, Switzerland and Chile. Richard Lavine's co-authors include William G. Faris, Martin Feinberg, Michael O’Carroll and Florin Catrina and has published in prestigious journals such as Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis and Journal of Mathematical Physics.

In The Last Decade

Richard Lavine

19 papers receiving 331 citations

Peers

Richard Lavine

AMPO

SNP

CTM

Volker Enß Germany

Andrea Posilicano Italy

E. I. Dinaburg Russia

S. T. Kuroda Japan

E. Mourre France

Hubert Kalf Germany

Dirk Hundertmark United States

Konstantin Pankrashkin France

Alexander Pushnitski United Kingdom

Vojkan Jakšić Canada

Volker Enß Germany

Richard Lavine

373 ×1.2

135 ×1.1

AMPO

147 ×1.3

SNP

79 ×0.7

CTM

50 ×0.6

Citations per year, relative to Richard Lavine Richard Lavine (= 1×) peers Volker Enß

Countries citing papers authored by Richard Lavine

Since Specialization

Citations

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

Fields of papers citing papers by Richard Lavine

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Richard Lavine

This figure shows the co-authorship network connecting the top 25 collaborators of Richard Lavine. A scholar is included among the top collaborators of Richard Lavine 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 Richard Lavine. Richard Lavine 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

Feinberg, Martin & Richard Lavine. (2024). Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: II Properties. Archive for Rational Mechanics and Analysis. 248(3). 1 indexed citations

Feinberg, Martin & Richard Lavine. (2024). Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: I. Existence. Archive for Rational Mechanics and Analysis. 248(3). 1 indexed citations

Catrina, Florin & Richard Lavine. (2002). RADIAL SOLUTIONS FOR WEIGHTED SEMILINEAR EQUATIONS. Communications in Contemporary Mathematics. 4(3). 529–545. 5 indexed citations

Lavine, Richard. (2001). EXISTENCE OF ALMOST EXPONENTIALLY DECAYING STATES FOR BARRIER POTENTIALS. Reviews in Mathematical Physics. 13(3). 267–305. 4 indexed citations

Lavine, Richard. (1995). A new sputtering system for hard disk media. Metal Finishing. 93(1). 13–16.

Lavine, Richard. (1994). The Eigenvalue Gap for One-Dimensional Convex Potentials. Proceedings of the American Mathematical Society. 121(3). 815–815. 10 indexed citations

Lavine, Richard. (1994). The eigenvalue gap for one-dimensional convex potentials. Proceedings of the American Mathematical Society. 121(3). 815–821. 43 indexed citations

Lavine, Richard, et al.. (1990). Lower bounds for resonance widths in potential and obstacle scattering. Communications in Mathematical Physics. 128(2). 263–284. 18 indexed citations

Lavine, Richard, et al.. (1989). . Indiana University Mathematics Journal. 38(1). 189–189. 8 indexed citations

10.

Feinberg, Martin & Richard Lavine. (1983). Thermodynamics based on the Hahn-Banach Theorem: The Clausius inequality. Archive for Rational Mechanics and Analysis. 82(3). 203–293. 13 indexed citations

11.

Lavine, Richard & Michael O’Carroll. (1977). Ground state properties and lower bounds for energy levels of a particle in a uniform magnetic field and external potential. Journal of Mathematical Physics. 18(10). 1908–1912. 16 indexed citations

12.

Faris, William G. & Richard Lavine. (1974). Commutators and self-adjointness of Hamiltonian operators. Communications in Mathematical Physics. 35(1). 39–48. 49 indexed citations

13.

Lavine, Richard. (1973). Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials. Journal of Functional Analysis. 12(1). 30–54. 42 indexed citations

14.

Lavine, Richard. (1973). Completeness of the wave operators in the repulsive N-body problem. Journal of Mathematical Physics. 14(3). 376–379. 16 indexed citations

15.

Lavine, Richard. (1972). Correction 'Commutators and Scattering Theory II. A Class of One-Body Problems'. Indiana University Mathematics Journal. 22(4). 401–401. 22 indexed citations

16.

Lavine, Richard. (1972). . Indiana University Mathematics Journal. 21(7). 643–643. 37 indexed citations

17.

Lavine, Richard. (1971). Commutators and scattering theory. Communications in Mathematical Physics. 20(4). 301–323. 48 indexed citations

18.

Lavine, Richard. (1970). Scattering theory for long range potentials. Journal of Functional Analysis. 5(3). 368–382. 29 indexed citations

19.

Lavine, Richard. (1969). Absolute Continuity of Hamiltonian Operators with Repulsive Potential. Proceedings of the American Mathematical Society. 22(1). 55–55. 5 indexed citations

20.

Lavine, Richard. (1969). Absolute continuity of Hamiltonian operators with repulsive potential.. Proceedings of the American Mathematical Society. 22(1). 55–60. 20 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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