Michel L. Lapidus

3.6k total citations
78 papers, 1.6k citations indexed

About

Michel L. Lapidus is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, Michel L. Lapidus has authored 78 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 60 papers in Mathematical Physics, 26 papers in Statistical and Nonlinear Physics and 26 papers in Computational Theory and Mathematics. Recurrent topics in Michel L. Lapidus's work include Mathematical Dynamics and Fractals (37 papers), advanced mathematical theories (24 papers) and Theoretical and Computational Physics (17 papers). Michel L. Lapidus is often cited by papers focused on Mathematical Dynamics and Fractals (37 papers), advanced mathematical theories (24 papers) and Theoretical and Computational Physics (17 papers). Michel L. Lapidus collaborates with scholars based in United States, France and Croatia. Michel L. Lapidus's co-authors include Gerald W. Johnson, Jun Kigami, Carl Pomerance, Jacqueline Fleckinger, Darko Žubrinić, Erin P. J. Pearse, Helmut Maier, Erik Christensen, John A. Rock and Cristina Ivan and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

Michel L. Lapidus

75 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michel L. Lapidus United States 22 1.2k 472 467 381 287 78 1.6k
Pavel Bleher United States 25 928 0.8× 206 0.4× 505 1.1× 538 1.4× 498 1.7× 70 1.9k
Scott Sheffield⋆ United States 22 1.4k 1.2× 391 0.8× 516 1.1× 213 0.6× 584 2.0× 56 2.1k
Eugène R. Speer United States 22 1.1k 0.9× 223 0.5× 229 0.5× 749 2.0× 898 3.1× 65 2.1k
Eugene Trubowitz Switzerland 21 1.4k 1.2× 401 0.8× 324 0.7× 1.2k 3.1× 271 0.9× 83 2.3k
Leonard Gross United States 22 1.4k 1.2× 551 1.2× 1.3k 2.8× 296 0.8× 104 0.4× 51 2.5k
Richard Kenyon United States 25 1.2k 1.0× 467 1.0× 152 0.3× 318 0.8× 502 1.7× 68 2.0k
Mark Pollicott United Kingdom 25 2.2k 1.9× 285 0.6× 400 0.9× 1.2k 3.2× 208 0.7× 165 2.7k
Carlangelo Liverani Italy 22 1.6k 1.3× 124 0.3× 270 0.6× 1.2k 3.2× 155 0.5× 61 1.9k
Peter D. Hislop United States 18 1.1k 1.0× 546 1.2× 291 0.6× 496 1.3× 62 0.2× 79 1.7k
Abel Klein United States 27 1.5k 1.3× 573 1.2× 152 0.3× 701 1.8× 336 1.2× 93 2.2k

Countries citing papers authored by Michel L. Lapidus

Since Specialization
Citations

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

Fields of papers citing papers by Michel L. Lapidus

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michel L. Lapidus. 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 Michel L. Lapidus. The network helps show where Michel L. Lapidus may publish in the future.

Co-authorship network of co-authors of Michel L. Lapidus

This figure shows the co-authorship network connecting the top 25 collaborators of Michel L. Lapidus. A scholar is included among the top collaborators of Michel L. Lapidus 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 Michel L. Lapidus. Michel L. Lapidus 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
1.
Lapidus, Michel L., et al.. (2024). An Invitation to Fractal Geometry. Graduate studies in mathematics.
2.
3.
Lapidus, Michel L., et al.. (2017). Complex dimensions of fractals and meromorphic extensions of fractal zeta functions. Journal of Mathematical Analysis and Applications. 453(1). 458–484. 3 indexed citations
4.
Lapidus, Michel L., et al.. (2016). Distance and tube zeta functions of fractals and arbitrary compact sets. Advances in Mathematics. 307. 1215–1267. 8 indexed citations
5.
Johnson, Gerald W., et al.. (2015). Feynman's Operational Calculus and Beyond. 4 indexed citations
6.
Lapidus, Michel L., et al.. (2013). Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I. Contemporary mathematics - American Mathematical Society.
7.
Guido, Daniele, Tommaso Isola, & Michel L. Lapidus. (2008). Ihara's zeta function for periodic graphs and its approximation in the amenable case. Journal of Functional Analysis. 255(6). 1339–1361. 5 indexed citations
8.
Christensen, Erik, Cristina Ivan, & Michel L. Lapidus. (2007). Dirac operators and spectral triples for some fractal sets built on curves. Advances in Mathematics. 217(1). 42–78. 30 indexed citations
9.
Lapidus, Michel L. & Erin P. J. Pearse. (2006). Complex dimensions of self-similar systems. 4 indexed citations
10.
Lapidus, Michel L., et al.. (2003). Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation. Experimental Mathematics. 12(1). 41–69. 12 indexed citations
11.
Lapidus, Michel L. & Carl Pomerance. (1996). Counterexamples to the modified Weyl–Berry conjecture on fractal drums. Mathematical Proceedings of the Cambridge Philosophical Society. 119(1). 167–178. 32 indexed citations
12.
Fleckinger, Jacqueline & Michel L. Lapidus. (1995). Indefinite elliptic boundary value problems on irregular domains. Proceedings of the American Mathematical Society. 123(2). 513–513. 2 indexed citations
13.
Fleckinger, Jacqueline & Michel L. Lapidus. (1995). Indefinite Elliptic Boundary Value Problems on Irregular Domains. Proceedings of the American Mathematical Society. 123(2). 513–513. 1 indexed citations
14.
Lapidus, Michel L.. (1993). The Vibrations of Fractal Drums and Waves in Fractal Media. 255–260. 6 indexed citations
15.
Lapidus, Michel L.. (1991). Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture. Transactions of the American Mathematical Society. 325(2). 465–465. 51 indexed citations
16.
Lapidus, Michel L., et al.. (1990). Product Formula for Resolvents of Normal Operators and the Modified Feynman Integral. Proceedings of the American Mathematical Society. 110(2). 449–449. 2 indexed citations
17.
Johnson, G. W. & Michel L. Lapidus. (1988). Noncommutative operations on Wiener functionals and Feynman's operational calculus. Journal of Functional Analysis. 81(1). 74–99. 10 indexed citations
18.
Fleckinger, Jacqueline & Michel L. Lapidus. (1986). Eigenvalues of elliptic boundary value problems with an indefinite weight function. Transactions of the American Mathematical Society. 295(1). 305–305. 36 indexed citations
19.
Lapidus, Michel L.. (1985). Product formula for imaginary resolvents with application to a modified Feynman integral. Journal of Functional Analysis. 63(3). 261–275. 12 indexed citations
20.
Lapidus, Michel L.. (1985). Perturbation theory and a dominated convergence theorem for Feynman integrals. Integral Equations and Operator Theory. 8(1). 36–62. 8 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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