A. Sklar

6.4k total citations · 2 hit papers
41 papers, 4.1k citations indexed

About

A. Sklar is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, A. Sklar has authored 41 papers receiving a total of 4.1k indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 9 papers in Mathematical Physics and 7 papers in Applied Mathematics. Recurrent topics in A. Sklar's work include Fixed Point Theorems Analysis (7 papers), Functional Equations Stability Results (5 papers) and Mathematical Dynamics and Fractals (4 papers). A. Sklar is often cited by papers focused on Fixed Point Theorems Analysis (7 papers), Functional Equations Stability Results (5 papers) and Mathematical Dynamics and Fractals (4 papers). A. Sklar collaborates with scholars based in United States, Spain and Czechia. A. Sklar's co-authors include B. Schweizer, Berthold Schweizer, Edward Thorp, C. Alsina, Claudi Alsina, J. Smı́tal, Ronald E. Rice, T. Erber, Tom M. Apostol and P. W. Johnson and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

A. Sklar

35 papers receiving 3.5k citations

Hit Papers

Probabilistic Metric Spaces 1960 2026 1982 2004 1983 1960 500 1000 1.5k
What are hit papers?

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.

  1. Probabilistic Metric Spaces
    1983 1.7k citations B. Schweizer, A. Sklar profile →
  2. Statistical metric spaces
    1960 1.2k citations Berthold Schweizer, A. Sklar profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. Sklar United States 13 1.6k 1.5k 1.1k 879 651 41 4.1k
B. Schweizer United States 17 809 0.5× 1.1k 0.7× 831 0.8× 803 0.9× 592 0.9× 40 3.1k
Berthold Schweizer United States 9 1.0k 0.6× 1.1k 0.7× 695 0.7× 561 0.6× 327 0.5× 14 2.3k
R. M. Dudley United States 27 413 0.3× 478 0.3× 480 0.5× 999 1.1× 774 1.2× 74 3.7k
Gustave Choquet France 13 274 0.2× 1.7k 1.1× 675 0.6× 955 1.1× 770 1.2× 45 3.1k
Olav Kallenberg United States 20 303 0.2× 508 0.3× 320 0.3× 1.0k 1.2× 656 1.0× 81 3.5k
Ludger Rüschendorf Germany 34 311 0.2× 1.7k 1.1× 237 0.2× 1.2k 1.4× 500 0.8× 195 4.2k
W. J. Studden United States 24 180 0.1× 1.9k 1.3× 1.6k 1.5× 887 1.0× 395 0.6× 59 4.2k
Stephen M. Robinson United States 30 496 0.3× 771 0.5× 3.1k 2.9× 238 0.3× 144 0.2× 84 4.5k
Phil Diamond Australia 21 251 0.2× 1.4k 0.9× 533 0.5× 2.2k 2.5× 784 1.2× 92 3.2k
Svetlozar T. Rachev United States 37 261 0.2× 1.4k 0.9× 237 0.2× 898 1.0× 428 0.7× 234 5.4k

Countries citing papers authored by A. Sklar

Since Specialization
Citations

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

Fields of papers citing papers by A. Sklar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Sklar

This figure shows the co-authorship network connecting the top 25 collaborators of A. Sklar. A scholar is included among the top collaborators of A. Sklar 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 A. Sklar. A. Sklar 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.
Menger, Karl, B. Schweizer, A. Sklar, et al.. (2003). Selecta Mathematica : Volume 2.
2.
3.
Sklar, A. & J. Smı́tal. (2000). Distributional Chaos on Compact Metric Spaces via Specification Properties. Journal of Mathematical Analysis and Applications. 241(2). 181–188. 23 indexed citations
4.
Alsina, Claudi, Berthold Schweizer, & A. Sklar. (1997). Continuity Properties of Probabilistic Norms. Journal of Mathematical Analysis and Applications. 208(2). 446–452. 77 indexed citations
5.
Alsina, C., B. Schweizer, & A. Sklar. (1993). On the definition of a probabilistic normed space. Aequationes Mathematicae. 46(1-2). 91–98. 96 indexed citations
6.
Rice, Ronald E., B. Schweizer, & A. Sklar. (1980). When isf(f(z))=az2+bz+c?. American Mathematical Monthly. 87(4). 252–263. 36 indexed citations
7.
Johnson, P. W. & A. Sklar. (1976). Recurrence and dispersion under iteration of Čebyšev polynomials. Journal of Mathematical Analysis and Applications. 54(3). 752–771. 7 indexed citations
8.
Erber, T. & A. Sklar. (1974). Macroscopic irreversibility as a manifestation of micro-instabilities. 281–301.
9.
Schweizer, B. & A. Sklar. (1974). Operations on distribution functions not derivable from operations on random variables. Studia Mathematica. 52(1). 43–52. 87 indexed citations
10.
Sklar, A.. (1973). Random variables, joint distribution functions, and copulas. Kybernetika. 9(6). 449–460. 490 indexed citations
11.
Schweizer, B. & A. Sklar. (1973). Probabilistic metric spaces determined by measure preserving transformations. Probability Theory and Related Fields. 26(3). 235–239. 8 indexed citations
12.
Erber, T., B. Schweizer, & A. Sklar. (1973). Mixing transformations on metric spaces. Communications in Mathematical Physics. 29(4). 311–317. 12 indexed citations
13.
Sklar, A.. (1969). Canonical decompositions, stable functions, and fractional iterates. Aequationes Mathematicae. 3(1-2). 118–129. 3 indexed citations
14.
Schweizer, B. & A. Sklar. (1969). A grammar of functions. Aequationes Mathematicae. 2(1). 62–85. 2 indexed citations
15.
Schweizer, B. & A. Sklar. (1967). The algebra of multiplace vector-valued functions. Bulletin of the American Mathematical Society. 73(4). 510–515. 5 indexed citations
16.
Schweizer, B. & A. Sklar. (1965). The algebra of functions. III. Mathematische Annalen. 161(3). 171–196. 12 indexed citations
17.
Menger, Karl, Berthold Schweizer, & A. Sklar. (1959). On probabilistic metrics and numerical metrics with probability. I. Czechoslovak Mathematical Journal. 9(3). 459–466. 5 indexed citations
18.
Sklar, A., et al.. (1957). The Approximate Functional Equation of Hecke's Dirichlet Series. Transactions of the American Mathematical Society. 86(2). 446–446. 3 indexed citations
19.
Sklar, A.. (1952). On the factorization of squarefree integers. Proceedings of the American Mathematical Society. 3(5). 701–705. 11 indexed citations
20.
Sklar, A.. (1952). On the Factorization of Squarefree Integers. Proceedings of the American Mathematical Society. 3(5). 701–701. 1 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by B. Schweizer Breakdown of academic impact, for papers by Berthold Schweizer Breakdown of academic impact, for papers by R. M. Dudley Breakdown of academic impact, for papers by Gustave Choquet Breakdown of academic impact, for papers by Olav Kallenberg Breakdown of academic impact, for papers by Ludger Rüschendorf Breakdown of academic impact, for papers by W. J. Studden Breakdown of academic impact, for papers by Stephen M. Robinson Breakdown of academic impact, for papers by Phil Diamond Breakdown of academic impact, for papers by Svetlozar T. Rachev
Rankless by CCL
2026