Jan Rataj

661 total citations
52 papers, 363 citations indexed

About

Jan Rataj is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Jan Rataj has authored 52 papers receiving a total of 363 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Applied Mathematics, 17 papers in Geometry and Topology and 10 papers in Mathematical Physics. Recurrent topics in Jan Rataj's work include Point processes and geometric inequalities (36 papers), Geometric Analysis and Curvature Flows (19 papers) and Morphological variations and asymmetry (8 papers). Jan Rataj is often cited by papers focused on Point processes and geometric inequalities (36 papers), Geometric Analysis and Curvature Flows (19 papers) and Morphological variations and asymmetry (8 papers). Jan Rataj collaborates with scholars based in Czechia, Germany and Denmark. Jan Rataj's co-authors include Martina Zähle, Ivan Saxl, Steffen Winter, Viktor Beneš, Markus Kiderlen, Tomáš Mrkvička, Eva B. Vedel Jensen, Volker Schmidt, F. Kroupa and David Preiss and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Advances in Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Jan Rataj

47 papers receiving 331 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Jan Rataj Czechia	12	267	110	78	53	51	52	363
U. Betke Germany	13	158 0.6×	87 0.8×	41 0.5×	34 0.6×	78 1.5×	31	401
Markus Kiderlen Denmark	11	197 0.7×	73 0.7×	20 0.3×	79 1.5×	21 0.4×	48	282
V. A. Zalgaller Russia	7	390 1.5×	246 2.2×	101 1.3×	23 0.4×	98 1.9×	20	582
Károly Bezdek Hungary	12	271 1.0×	168 1.5×	51 0.7×	39 0.7×	56 1.1×	81	455
G. D. Chakerian United States	15	332 1.2×	161 1.5×	50 0.6×	37 0.7×	114 2.2×	60	539
Chuanming Zong China	10	144 0.5×	92 0.8×	30 0.4×	37 0.7×	64 1.3×	41	290
J. M. Wills Germany	12	115 0.4×	155 1.4×	41 0.5×	22 0.4×	74 1.5×	57	430
Endre Makai Hungary	10	173 0.6×	61 0.6×	68 0.9×	15 0.3×	77 1.5×	48	283
Guantie Deng China	11	234 0.9×	218 2.0×	59 0.8×	58 1.1×	41 0.8×	75	410

Countries citing papers authored by Jan Rataj

Since Specialization

Citations

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

Fields of papers citing papers by Jan Rataj

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jan Rataj

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

Rataj, Jan & Martina Zähle. (2019). Curvature Measures of Singular Sets. Springer monographs in mathematics. 8 indexed citations

Rataj, Jan & Luděk Zaj́ıček. (2012). Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces. Houston journal of mathematics. 38(2). 445–467. 4 indexed citations

Rataj, Jan & Steffen Winter. (2012). Characterization of Minkowski measurability in terms of surface area. Journal of Mathematical Analysis and Applications. 400(1). 120–132. 11 indexed citations

Rataj, Jan & Steffen Winter. (2009). A note on measures of parallel sets. arXiv (Cornell University). 1 indexed citations

Mrkvička, Tomáš & Jan Rataj. (2009). ON ESTIMATION OF INTRINSIC VOLUME DENSITIES OF STATIONARY RANDOM CLOSED SETS VIA PARALLEL SETS IN THE PLANE. Kybernetika. 45(6). 931–945. 3 indexed citations

Jensen, Eva B. Vedel & Jan Rataj. (2008). A rotational integral formula for intrinsic volumes. Advances in Applied Mathematics. 41(4). 530–560. 10 indexed citations

Mrkvička, Tomáš & Jan Rataj. (2007). On the estimation of intrinsic volume densities of stationary random closed sets. Stochastic Processes and their Applications. 118(2). 213–231. 11 indexed citations

Rataj, Jan. (2004). On estimation of the Euler number by projections of thin slabs. Advances in Applied Probability. 36(3). 715–724. 6 indexed citations

Rataj, Jan. (2004). On Set Covariance and Three-Point Test Sets. Czechoslovak Mathematical Journal. 54(1). 205–214. 7 indexed citations

10.

Rataj, Jan & Martina Zähle. (2003). Normal cycles of Lipschitz manifolds by approximation with parallel sets. Differential Geometry and its Applications. 19(1). 113–126. 23 indexed citations

11.

Rataj, Jan & Martina Zähle. (2002). A remark on mixed curvature measures for sets with positive reach.. 43(1). 171–179. 4 indexed citations

12.

Rataj, Jan & Ivan Saxl. (1997). Boolean cluster models: mean cluster dilations and spherical contact distances. Mathematica Bohemica. 122(1). 21–36. 2 indexed citations

13.

Saxl, Ivan & Jan Rataj. (1996). Spherical contact and nearest neighbour distances in Boolean cluster fields. Image Analysis & Stereology. 3 indexed citations

14.

Rataj, Jan. (1996). Estimation of oriented normal direction distribution via mixed areas. Image Analysis & Stereology. 2 indexed citations

15.

Rataj, Jan, et al.. (1995). Mixed curvature measures for sets of positive reach and a translative integral formula. Geometriae Dedicata. 57(3). 259–283. 19 indexed citations

16.

Rataj, Jan, et al.. (1993). Convergence of randomly oscillating point patterns to the Poisson point process. Applications of Mathematics. 38(3). 221–235. 2 indexed citations

17.

Rataj, Jan, et al.. (1992). $0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances. Mathematica Bohemica. 117(3). 271–282. 2 indexed citations

18.

Rataj, Jan. (1990). A characterization of the weak convergence of convolution powers. Časopis pro pěstování matematiky. 115(1). 48–60.

19.

Preiss, David & Jan Rataj. (1985). Maximal sets of orthogonal measures are not analytic. Proceedings of the American Mathematical Society. 93(3). 471–471. 2 indexed citations

20.

Preiss, David & Jan Rataj. (1985). Maximal Sets of Orthogonal Measures are not Analytic. Proceedings of the American Mathematical Society. 93(3). 471–471. 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.

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