Alexander Berenstein

612 total citations
23 papers, 106 citations indexed

About

Alexander Berenstein is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alexander Berenstein has authored 23 papers receiving a total of 106 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Mathematical Physics, 19 papers in Geometry and Topology and 10 papers in Algebra and Number Theory. Recurrent topics in Alexander Berenstein's work include Advanced Topology and Set Theory (18 papers), Homotopy and Cohomology in Algebraic Topology (10 papers) and Advanced Operator Algebra Research (6 papers). Alexander Berenstein is often cited by papers focused on Advanced Topology and Set Theory (18 papers), Homotopy and Cohomology in Algebraic Topology (10 papers) and Advanced Operator Algebra Research (6 papers). Alexander Berenstein collaborates with scholars based in Colombia, United States and Canada. Alexander Berenstein's co-authors include Itaï Ben Yaacov, Steven Buechler, C. Ward Henson, Alf Onshuus and Itay Ben-Yaacov and has published in prestigious journals such as Journal of Symbolic Logic, Israel Journal of Mathematics and Annals of Pure and Applied Logic.

In The Last Decade

Alexander Berenstein

19 papers receiving 96 citations

Peers

Alexander Berenstein

GT

MP

CTM

ANT

AI

Jochen Koenigsmann Germany

Alexander Usvyatsov Portugal

Bart de Smit Netherlands

Daniel Krashen United States

Jörg Jahnel Germany

Urs Hartl Germany

Martin Zeman United States

Olivier Wittenberg France

Kazuhiro Fujiwara Japan

Mário J. Edmundo Portugal

Jochen Koenigsmann Germany

Alexander Berenstein

111 ×1.1

GT

66 ×0.9

MP

36 ×0.7

CTM

37 ×0.9

ANT

5 ×0.7

AI

Citations per year, relative to Alexander Berenstein Alexander Berenstein (= 1×) peers Jochen Koenigsmann

Countries citing papers authored by Alexander Berenstein

Since Specialization

Citations

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

Fields of papers citing papers by Alexander Berenstein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Berenstein

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

1.

Berenstein, Alexander, et al.. (2024). Existentially closed measure-preserving actions of free groups. Fundamenta Mathematicae. 264(3). 241–282.

2.

Berenstein, Alexander, et al.. (2019). Isometry groups of borel randomizations. Investigative News in Education (Universidad de Costa Rica). 1 indexed citations

3.

Berenstein, Alexander, et al.. (2019). Fields with a dense-codense linearly independent multiplicative subgroup. Archive for Mathematical Logic. 59(1-2). 197–228. 2 indexed citations

4.

Berenstein, Alexander, et al.. (2016). Dense codense predicates and the NTP₂. Mathematical logic quarterly. 62(1-2). 16–24. 3 indexed citations

5.

Berenstein, Alexander, et al.. (2015). Geometric structures with a dense independent subset. Selecta Mathematica. 22(1). 191–225. 10 indexed citations

6.

Berenstein, Alexander, et al.. (2014). Generic trivializations of geometric theories. Mathematical logic quarterly. 60(4-5). 289–303. 3 indexed citations

7.

Berenstein, Alexander, et al.. (2012). Weakly one-based geometric theories. Journal of Symbolic Logic. 77(2). 392–422. 4 indexed citations

8.

Berenstein, Alexander, et al.. (2011). The independence property in generalized dense pairs of structures. Journal of Symbolic Logic. 76(2). 391–404. 9 indexed citations

9.

Yaacov, Itaï Ben, Alexander Berenstein, & C. Ward Henson. (2011). Model-theoretic independence in the banach lattices L p(µ). Israel Journal of Mathematics. 183(1). 285–320. 7 indexed citations

10.

Yaacov, Itaï Ben, Alexander Berenstein, & C. Ward Henson. (2009). Almost indiscernible sequences and convergence of canonical bases. HAL (Le Centre pour la Communication Scientifique Directe). 5 indexed citations

11.

Berenstein, Alexander, et al.. (2009). On lovely pairs of geometric structures. Annals of Pure and Applied Logic. 161(7). 866–878. 17 indexed citations

12.

Yaacov, Itaï Ben & Alexander Berenstein. (2009). On perturbations of Hilbert spaces and probability algebras with a generic automorphism. ArXiv.org. 5 indexed citations

13.

Berenstein, Alexander, et al.. (2008). Hilbert spaces expanded with a unitary operator. Mathematical logic quarterly. 55(1). 37–50. 7 indexed citations

14.

Berenstein, Alexander, et al.. (2007). Thorn independence in the field of real numbers with a small multiplicative group. Annals of Pure and Applied Logic. 150(1-3). 1–18. 10 indexed citations

15.

Berenstein, Alexander. (2007). Hilbert spaces with generic groups of automorphisms. Archive for Mathematical Logic. 46(3-4). 289–299. 4 indexed citations

16.

Berenstein, Alexander, et al.. (2006). Invariant Version of Cardinality Quantifiers in Superstable Theories. Notre Dame Journal of Formal Logic. 47(3).

17.

Berenstein, Alexander. (2006). Definable subgroups of measure algebras. Mathematical logic quarterly. 52(4). 367–374. 2 indexed citations

18.

Berenstein, Alexander. (2004). Simple stable homogeneous expansions of Hilbert spaces*1. Annals of Pure and Applied Logic. 128(1-3). 75–101. 1 indexed citations

19.

Berenstein, Alexander & Steven Buechler. (2004). Simple stable homogeneous expansions of Hilbert spaces. Annals of Pure and Applied Logic. 128(1-3). 75–101. 10 indexed citations

20.

Ben-Yaacov, Itay & Alexander Berenstein. (2004). Imaginaries in Hilbert spaces. Archive for Mathematical Logic. 43(4). 459–466. 4 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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