Dmitry Kleinbock

2.5k total citations
49 papers, 990 citations indexed

About

Dmitry Kleinbock is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Dmitry Kleinbock has authored 49 papers receiving a total of 990 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Mathematical Physics, 25 papers in Geometry and Topology and 12 papers in Applied Mathematics. Recurrent topics in Dmitry Kleinbock's work include Mathematical Dynamics and Fractals (44 papers), advanced mathematical theories (11 papers) and Advanced Topology and Set Theory (11 papers). Dmitry Kleinbock is often cited by papers focused on Mathematical Dynamics and Fractals (44 papers), advanced mathematical theories (11 papers) and Advanced Topology and Set Theory (11 papers). Dmitry Kleinbock collaborates with scholars based in United States, Israel and France. Dmitry Kleinbock's co-authors include Barak Weiss, Elon Lindenstrauss, G. A. Margulis, N. Chernov, В. И. Берник, Pavel Etingof, Nimish A. Shah, V. M. Entov, Lior Fishman and Victor Beresnevich and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Dmitry Kleinbock

46 papers receiving 881 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Dmitry Kleinbock United States	19	883	504	181	178	172	49	990
Lei Tan France	10	606 0.7×	459 0.9×	100 0.6×	168 0.9×	205 1.2×	30	681
Feliks Przytycki Poland	24	1.4k 1.6×	674 1.3×	104 0.6×	364 2.0×	680 4.0×	58	1.5k
Steffen Rohde United States	13	454 0.5×	290 0.6×	97 0.5×	270 1.5×	76 0.4×	40	667
Donald E. Marshall United States	15	266 0.3×	259 0.5×	112 0.6×	409 2.3×	40 0.2×	35	670
Yann Bugeaud France	14	396 0.4×	187 0.4×	206 1.1×	47 0.3×	133 0.8×	54	516
Vadim A. Kaimanovich France	17	824 0.9×	644 1.3×	279 1.5×	211 1.2×	70 0.4×	45	980
D. Newton United Kingdom	12	414 0.5×	153 0.3×	105 0.6×	77 0.4×	124 0.7×	25	540
M. A. Akcoglu Canada	14	374 0.4×	98 0.2×	141 0.8×	247 1.4×	38 0.2×	58	589
Brad Osgood United States	15	251 0.3×	779 1.5×	169 0.9×	907 5.1×	60 0.3×	43	1.1k
Dmitry Dolgopyat United States	15	627 0.7×	130 0.3×	57 0.3×	73 0.4×	399 2.3×	39	709

Countries citing papers authored by Dmitry Kleinbock

Since Specialization

Citations

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

Fields of papers citing papers by Dmitry Kleinbock

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dmitry Kleinbock

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

Kleinbock, Dmitry, et al.. (2024). Dimension drop for diagonalizable flows on homogeneous spaces. Journal of Modern Dynamics. 20(0). 441–478.

Kleinbock, Dmitry & Baowei Wang. (2023). Measure theoretic laws for limsup sets defined by rectangles. Advances in Mathematics. 428. 109154–109154. 3 indexed citations

Kleinbock, Dmitry, et al.. (2023). Zero–one laws for eventually always hitting points in rapidly mixing systems. Mathematical Research Letters. 30(3). 765–805. 1 indexed citations

Kleinbock, Dmitry, et al.. (2023). A dichotomy phenomenon for bad minus normed Dirichlet. Mathematika. 69(4). 1145–1164. 1 indexed citations

Kleinbock, Dmitry & Jiajie Zheng. (2023). Dynamical Borel–Cantelli lemma for recurrence under Lipschitz twists. Nonlinearity. 36(2). 1434–1460. 6 indexed citations

Kleinbock, Dmitry, et al.. (2022). Weighted uniform Diophantine approximation of systems of linear forms. Pure and Applied Mathematics Quarterly. 18(3). 1095–1112. 2 indexed citations

Kleinbock, Dmitry, et al.. (2019). Rational approximation on quadrics: A simplex lemma and its consequences. arXiv (Cornell University). 64(3). 459–476.

Kleinbock, Dmitry, et al.. (2015). Bounded Orbits of Diagonalizable Flows on SL₃(ℝ)/SL₃(ℤ). International Mathematics Research Notices. 2015(24). 13623–13652. 9 indexed citations

Fishman, Lior, et al.. (2014). Intrinsic Diophantine Approximation on Manifolds. arXiv (Cornell University). 2 indexed citations

10.

Einsiedler, Manfred, Dmitry Kleinbock, Elon Lindenstrauss, & Hee Oh. (2011). Homogeneous Dynamics and Number Theory. Oberwolfach Reports. 7(3). 1703–1759. 1 indexed citations

11.

Kleinbock, Dmitry, et al.. (2011). S-adic version of Minkowski's geometry of numbers and Mahler's\n compactness criterion. arXiv (Cornell University). 9 indexed citations

12.

Fishman, Lior, et al.. (2010). Schmidt’s game, fractals, and orbits of toral endomorphisms. Ergodic Theory and Dynamical Systems. 31(4). 1095–1107. 21 indexed citations

13.

Kleinbock, Dmitry & Barak Weiss. (2009). Modified Schmidt games and Diophantine approximation with weights. Advances in Mathematics. 223(4). 1276–1298. 30 indexed citations

14.

Kleinbock, Dmitry & Barak Weiss. (2008). Dirichlet's theorem on diophantine approximation and homogeneous flows. Journal of Modern Dynamics. 2(1). 43–62. 38 indexed citations

15.

Kleinbock, Dmitry. (2008). Diophantine Properties of Measures and Homogeneous Dynamics. Pure and Applied Mathematics Quarterly. 4(1). 81–98. 3 indexed citations

16.

Kleinbock, Dmitry, et al.. (2007). Flows on $S$-arithmetic homogeneous spaces and applications to metric Diophantine approximation. Commentarii Mathematici Helvetici. 82(3). 519–581. 45 indexed citations

17.

Beresnevich, Victor, В. И. Берник, Dmitry Kleinbock, & G. A. Margulis. (2002). Metric Diophantine Approximation: The Khintchine—Groshev Theorem for Nondegenerate Manifolds. Moscow Mathematical Journal. 2(2). 203–225. 43 indexed citations

18.

Kleinbock, Dmitry. (1999). Badly Approximable Systems of Affine Forms. Journal of Number Theory. 79(1). 83–102. 16 indexed citations

19.

Kleinbock, Dmitry, et al.. (1998). Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds. Annals of Mathematics. 148(1). 339–339. 161 indexed citations

20.

Entov, V. M., Pavel Etingof, & Dmitry Kleinbock. (1993). Hele–Shaw flows with a free boundary produced by multipoles. European Journal of Applied Mathematics. 4(2). 97–120. 18 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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