Hiroki Sumi

877 total citations
43 papers, 403 citations indexed

About

Hiroki Sumi is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Hiroki Sumi has authored 43 papers receiving a total of 403 indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Mathematical Physics, 24 papers in Geometry and Topology and 13 papers in Applied Mathematics. Recurrent topics in Hiroki Sumi's work include Mathematical Dynamics and Fractals (42 papers), advanced mathematical theories (10 papers) and Geometry and complex manifolds (9 papers). Hiroki Sumi is often cited by papers focused on Mathematical Dynamics and Fractals (42 papers), advanced mathematical theories (10 papers) and Geometry and complex manifolds (9 papers). Hiroki Sumi collaborates with scholars based in Japan, United States and Australia. Hiroki Sumi's co-authors include Mariusz Urbański, Mark Comerford and Toshiyuki Sugawa and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Hiroki Sumi

39 papers receiving 372 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Hiroki Sumi Japan	13	395	257	135	106	69	43	403
Anna Zdunik Poland	9	305 0.8×	200 0.8×	100 0.7×	124 1.2×	35 0.5×	32	328
Federico Rodriguez Hertz United States	13	347 0.9×	183 0.7×	221 1.6×	29 0.3×	23 0.3×	41	359
Krzysztof Barański Poland	10	224 0.6×	129 0.5×	57 0.4×	102 1.0×	30 0.4×	24	241
Mary Rees United Kingdom	9	271 0.7×	192 0.7×	100 0.7×	75 0.7×	36 0.5×	20	312
Todd Fisher United States	11	232 0.6×	94 0.4×	157 1.2×	23 0.2×	18 0.3×	20	241
Lior Fishman United States	9	179 0.5×	111 0.4×	35 0.3×	24 0.2×	55 0.8×	24	204
Raúl Ures Uruguay	13	395 1.0×	197 0.8×	287 2.1×	30 0.3×	8 0.1×	26	403
Oleg Kozlovski United Kingdom	7	197 0.5×	118 0.5×	109 0.8×	50 0.5×	16 0.2×	14	210
Flavio Abdenur Brazil	8	242 0.6×	136 0.5×	155 1.1×	17 0.2×	12 0.2×	9	249
Yongcheng Yin China	9	245 0.6×	177 0.7×	98 0.7×	82 0.8×	20 0.3×	29	265

Countries citing papers authored by Hiroki Sumi

Since Specialization

Citations

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

Fields of papers citing papers by Hiroki Sumi

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hiroki Sumi

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

Sumi, Hiroki, et al.. (2025). The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups. Memoirs of the American Mathematical Society. 307(1552).

Sumi, Hiroki, et al.. (2022). Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy. Nonlinearity. 35(4). 1857–1875.

Sumi, Hiroki, et al.. (2020). Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line. Journal of Mathematical Analysis and Applications. 491(2). 124246–124246. 2 indexed citations

Sumi, Hiroki, et al.. (2020). Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions. The Journal of Difference Equations and Applications. 26(1). 104–121.

Sumi, Hiroki, et al.. (2019). Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity. Nonlinearity. 32(10). 3742–3771. 2 indexed citations

Sumi, Hiroki, et al.. (2017). Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics. Advances in Mathematics. 313. 839–874. 4 indexed citations

Sumi, Hiroki. (2016). The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics. Advances in Mathematics. 290. 809–859. 1 indexed citations

Sumi, Hiroki, et al.. (2015). Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method. Transactions of the American Mathematical Society. 369(9). 6147–6187. 3 indexed citations

Sumi, Hiroki. (2013). Cooperation principle, stability and bifurcation in random complex dynamics. Advances in Mathematics. 245. 137–181. 10 indexed citations

10.

Sumi, Hiroki & Mariusz Urbański. (2012). Transversality family of expanding rational semigroups. Advances in Mathematics. 234. 697–734. 8 indexed citations

11.

Sumi, Hiroki, et al.. (2011). Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups. Transactions of the American Mathematical Society. 363(10). 5293–5319. 11 indexed citations

12.

Sumi, Hiroki. (2010). Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles. Ergodic Theory and Dynamical Systems. 30(6). 1869–1902. 19 indexed citations

13.

Sumi, Hiroki. (2009). Interaction cohomology of forward or backward self-similar systems. Advances in Mathematics. 222(3). 729–781. 19 indexed citations

14.

Sumi, Hiroki, et al.. (2008). Analytic families of holomorphic IFS. arXiv (Cornell University). 2 indexed citations

15.

Sumi, Hiroki & Mariusz Urbański. (2008). The equilibrium states for semigroups of rational maps. Monatshefte für Mathematik. 156(4). 371–390. 14 indexed citations

16.

Sumi, Hiroki. (2006). Semi-hyperbolic fibered rational maps and rational semigroups. Ergodic Theory and Dynamical Systems. 26(3). 893–922. 24 indexed citations

17.

Sumi, Hiroki. (2005). Dimensions of Julia sets of expanding rational semigroups. Kodai Mathematical Journal. 28(2). 24 indexed citations

18.

Sumi, Hiroki. (2001). Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products. Ergodic Theory and Dynamical Systems. 21(2). 563–603. 32 indexed citations

19.

Sumi, Hiroki. (2000). Skew product maps related to finitely generated rational semigroups. Nonlinearity. 13(4). 995–1019. 36 indexed citations

20.

Sumi, Hiroki. (1997). On Dynamics of Hyperbolic Rational Semigroups and Hausdorff Dimension of Julia sets. Kyoto University Research Information Repository (Kyoto University). 988. 98–112. 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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