Peter A. Loeb

1.6k total citations
56 papers, 757 citations indexed

About

Peter A. Loeb is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Peter A. Loeb has authored 56 papers receiving a total of 757 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Mathematical Physics, 21 papers in Geometry and Topology and 19 papers in Computational Theory and Mathematics. Recurrent topics in Peter A. Loeb's work include Mathematical and Theoretical Analysis (32 papers), Advanced Topology and Set Theory (13 papers) and Computability, Logic, AI Algorithms (9 papers). Peter A. Loeb is often cited by papers focused on Mathematical and Theoretical Analysis (32 papers), Advanced Topology and Set Theory (13 papers) and Computability, Logic, AI Algorithms (9 papers). Peter A. Loeb collaborates with scholars based in United States, Germany and Singapore. Peter A. Loeb's co-authors include Manfred Wolff, Yeneng Sun, Zoltán Füredi, Jürgen Bliedtner, Donald J. Brown and J. M. Aldaz and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Transactions of the American Mathematical Society.

In The Last Decade

Peter A. Loeb

47 papers receiving 574 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter A. Loeb United States	15	520	282	263	210	137	56	757
W. A. J. Luxemburg United States	19	719 1.4×	262 0.9×	281 1.1×	542 2.6×	29 0.2×	86	1.2k
Manfred Wolff Germany	11	442 0.8×	103 0.4×	131 0.5×	255 1.2×	31 0.2×	40	622
C. Ward Henson United States	17	473 0.9×	451 1.6×	403 1.5×	105 0.5×	14 0.1×	54	776
C. Ryll–Nardzewski Poland	15	257 0.5×	213 0.8×	145 0.6×	130 0.6×	27 0.2×	55	567
Azriel Lévy Israel	10	119 0.2×	215 0.8×	314 1.2×	21 0.1×	39 0.3×	33	661
Manfred Denker Germany	12	936 1.8×	289 1.0×	214 0.8×	134 0.6×	38 0.3×	31	1.0k
Karel Prikry United States	15	343 0.7×	579 2.1×	387 1.5×	73 0.3×	60 0.4×	62	773
Juan Horváth United States	3	315 0.6×	143 0.5×	94 0.4×	214 1.0×	18 0.1×	3	499
Clark Kimberling United States	8	51 0.1×	212 0.8×	70 0.3×	56 0.3×	26 0.2×	110	509
L. Olsen United Kingdom	18	1.1k 2.0×	230 0.8×	168 0.6×	142 0.7×	392 2.9×	84	1.2k

Countries citing papers authored by Peter A. Loeb

Since Specialization

Citations

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

Fields of papers citing papers by Peter A. Loeb

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter A. Loeb

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

Loeb, Peter A. & Yeneng Sun. (2009). Purification and saturation. Proceedings of the American Mathematical Society. 137(8). 2719–2724. 20 indexed citations

Loeb, Peter A. & Yeneng Sun. (2007). A general Fatou Lemma. Advances in Mathematics. 213(2). 741–762. 11 indexed citations

Loeb, Peter A., et al.. (2003). Uncorrelatedness and orthogonality for vector-valued processes. Transactions of the American Mathematical Society. 356(8). 3209–3225. 5 indexed citations

Bliedtner, Jürgen & Peter A. Loeb. (1995). Best Filters for the General Fatou Boundary Limit Theorem. Proceedings of the American Mathematical Society. 123(2). 459–459. 1 indexed citations

Loeb, Peter A.. (1993). An Optimization of the Besicovitch Covering. Proceedings of the American Mathematical Society. 118(3). 715–715. 1 indexed citations

Loeb, Peter A.. (1991). A Note on Dixon's Proof of Cauchy's Integral Theorem. American Mathematical Monthly. 98(3). 242–242. 2 indexed citations

Loeb, Peter A.. (1985). A nonstandard functional approach to Fubini’s theorem. Proceedings of the American Mathematical Society. 93(2). 343–346. 6 indexed citations

Loeb, Peter A.. (1979). Weak limits of measures and the standard part map. Proceedings of the American Mathematical Society. 77(1). 128–135. 10 indexed citations

Loeb, Peter A.. (1979). Weak Limits of Measures and the Standard Part Map. Proceedings of the American Mathematical Society. 77(1). 128–128. 18 indexed citations

10.

Loeb, Peter A., et al.. (1979). Applications of nonstandard analysis to spin models. Journal of Mathematical Analysis and Applications. 69(2). 341–352. 9 indexed citations

11.

Loeb, Peter A.. (1978). A generalization of the Riesz-Herglotz theorem on representing measures. Proceedings of the American Mathematical Society. 71(1). 65–68. 3 indexed citations

12.

Loeb, Peter A.. (1975). Conversion from nonstandard to standard measure spaces and applications in probability theory. Transactions of the American Mathematical Society. 211(0). 113–122. 193 indexed citations

13.

Loeb, Peter A.. (1975). Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory. Transactions of the American Mathematical Society. 211. 113–113. 59 indexed citations

14.

Loeb, Peter A., et al.. (1974). Victoria Symposium on Nonstandard Analysis : University of Victoria, 1972 : [proceedings]. Springer eBooks.

15.

Loeb, Peter A.. (1969). Compactifications of Hausdorff Spaces. Proceedings of the American Mathematical Society. 22(3). 627–627. 1 indexed citations

16.

Loeb, Peter A.. (1969). Compactifications of Hausdorff spaces. Proceedings of the American Mathematical Society. 22(3). 627–634. 6 indexed citations

17.

Loeb, Peter A., et al.. (1968). An axiomatic approach to the boundary theories of Wiener and Royden. Bulletin of the American Mathematical Society. 74(5). 1004–1007. 2 indexed citations

18.

Loeb, Peter A.. (1967). A minimal compactification for extending continuous functions. Proceedings of the American Mathematical Society. 18(2). 282–283. 15 indexed citations

19.

Loeb, Peter A.. (1967). A Minimal Compactification for Extending Continuous Functions. Proceedings of the American Mathematical Society. 18(2). 282–282. 10 indexed citations

20.

Loeb, Peter A.. (1966). An axiomatic treatment of pairs of elliptic differential equations. Annales de l’institut Fourier. 16(2). 167–208. 29 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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