Berthold Schweizer

3.6k total citations · 1 hit paper
14 papers, 2.3k citations indexed

About

Berthold Schweizer is a scholar working on Geometry and Topology, Statistics and Probability and Management Science and Operations Research. According to data from OpenAlex, Berthold Schweizer has authored 14 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Geometry and Topology, 6 papers in Statistics and Probability and 4 papers in Management Science and Operations Research. Recurrent topics in Berthold Schweizer's work include Fixed Point Theorems Analysis (5 papers), Fuzzy Systems and Optimization (3 papers) and Fuzzy and Soft Set Theory (3 papers). Berthold Schweizer is often cited by papers focused on Fixed Point Theorems Analysis (5 papers), Fuzzy Systems and Optimization (3 papers) and Fuzzy and Soft Set Theory (3 papers). Berthold Schweizer collaborates with scholars based in United States and Spain. Berthold Schweizer's co-authors include A. Sklar, Claudi Alsina, Maurice Frank, Roger B. Nelsen, Edward Thorp, H. Sherwood, Karl Menger and Raimond A. Struble and has published in prestigious journals such as Journal of Applied Mechanics, Journal of Mathematical Analysis and Applications and Pacific Journal of Mathematics.

In The Last Decade

Berthold Schweizer

13 papers receiving 2.0k citations

Hit Papers

align trajectories

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.

Statistical metric spaces

1960 1.2k citations Berthold Schweizer, A. Sklar Pacific Journal of Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Berthold Schweizer United States	9	1.1k	1.0k	695	561	327	14	2.3k
B. Schweizer United States	17	1.1k 1.1×	809 0.8×	831 1.2×	803 1.4×	592 1.8×	40	3.1k
David W. Walkup United States	16	672 0.6×	187 0.2×	385 0.6×	458 0.8×	223 0.7×	27	1.7k
Claudi Alsina Spain	13	638 0.6×	178 0.2×	507 0.7×	391 0.7×	265 0.8×	66	1.6k
Carlo Sempi Italy	24	628 0.6×	158 0.2×	276 0.4×	723 1.3×	215 0.7×	53	1.7k
Maurice Sion Canada	13	306 0.3×	255 0.3×	430 0.6×	145 0.3×	209 0.6×	31	1.4k
Gerald Beer United States	27	451 0.4×	1.7k 1.7×	1.1k 1.6×	445 0.8×	61 0.2×	150	2.7k
Dan Butnariu Israel	23	588 0.6×	872 0.9×	1.5k 2.2×	313 0.6×	234 0.7×	47	2.1k
Ismat Beg Pakistan	24	945 0.9×	1.4k 1.3×	757 1.1×	334 0.6×	267 0.8×	173	2.4k
Osmo Kaleva Finland	11	852 0.8×	597 0.6×	435 0.6×	2.1k 3.7×	290 0.9×	20	2.6k
Michel Valadier France	12	209 0.2×	407 0.4×	985 1.4×	344 0.6×	25 0.1×	26	2.1k

Countries citing papers authored by Berthold Schweizer

Since Specialization

Citations

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

Fields of papers citing papers by Berthold Schweizer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Berthold Schweizer

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

All Works

Sort: Min cites: Since: Top N: Style:

14 of 14 papers shown

1.

Schweizer, Berthold. (2007). Introduction to Copulas. Journal of Hydrologic Engineering. 12(4). 346–346. 73 indexed citations

2.

Alsina, Claudi, Maurice Frank, & Berthold Schweizer. (2006). Associative Functions: Triangular Norms and Copulas. WORLD SCIENTIFIC eBooks. 315 indexed citations

3.

Alsina, Claudi, et al.. (2006). Associative Functions: Triangular Norms and Copulas. World Scientific Publishing Co. Pte. Ltd. eBooks. 406 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.

Schweizer, Berthold. (1996). The genesis of the notion of distributional chaos. Rendiconti del Seminario Matematico e Fisico di Milano. 66(1). 159–167. 4 indexed citations

6.

Alsina, Claudi, Roger B. Nelsen, & Berthold Schweizer. (1993). On the characterization of a class of binary operations on distribution functions. Statistics & Probability Letters. 17(2). 85–89. 121 indexed citations

7.

Nelsen, Roger B. & Berthold Schweizer. (1991). Bounds for distribution functions of sums of squares and radial errors. International Journal of Mathematics and Mathematical Sciences. 14(3). 561–569. 1 indexed citations

8.

Schweizer, Berthold, et al.. (1988). Contractions on probabilistic metric spaces: examples and counterexamples.. Hispana. 12(1). 5–17. 11 indexed citations

9.

Schweizer, Berthold, et al.. (1979). Betweenness relations in probabilistic metric spaces. Pacific Journal of Mathematics. 81(1). 175–196. 26 indexed citations

10.

Schweizer, Berthold, A. Sklar, & Edward Thorp. (1960). The metrization of statistical metric spaces. Pacific Journal of Mathematics. 10(2). 673–675. 123 indexed citations

11.

Schweizer, Berthold & A. Sklar. (1960). Statistical metric spaces. Pacific Journal of Mathematics. 10(1). 313–334. 1163 indexed citations breakdown →

12.

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

13.

Struble, Raimond A. & Berthold Schweizer. (1957). Ideal Reducers and Nozzle Flares. Journal of Applied Mechanics. 24(1). 137–140. 1 indexed citations

14.

Schweizer, Berthold. (1955). A Symmetric Generalization of the Lagrange Interpolation Formula. Journal of Mathematics and Physics. 34(1-4). 157–159. 3 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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