Yuri Tomilov

1.6k total citations · 1 hit paper
51 papers, 858 citations indexed

About

Yuri Tomilov is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Yuri Tomilov has authored 51 papers receiving a total of 858 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Applied Mathematics, 38 papers in Mathematical Physics and 23 papers in Computational Theory and Mathematics. Recurrent topics in Yuri Tomilov's work include Holomorphic and Operator Theory (21 papers), Spectral Theory in Mathematical Physics (16 papers) and Stability and Controllability of Differential Equations (14 papers). Yuri Tomilov is often cited by papers focused on Holomorphic and Operator Theory (21 papers), Spectral Theory in Mathematical Physics (16 papers) and Stability and Controllability of Differential Equations (14 papers). Yuri Tomilov collaborates with scholars based in Poland, United Kingdom and United States. Yuri Tomilov's co-authors include Alexander Borichev, Ralph Chill, C. J. K. Batty, A. M. Gomilko, Yuri Latushkin, Veronika Müller, Markus Haase, Stephen Montgomery-Smith, N. J. Kalton and Krzysztof Oleszkiewicz and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Yuri Tomilov

48 papers receiving 795 citations

Hit Papers

Optimal polynomial decay of functions and operator semigr... 2009 2026 2014 2020 2009 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Optimal polynomial decay of functions and operator semigroups
    2009 419 citations Alexander Borichev, Yuri Tomilov Mathematische Annalen profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Yuri Tomilov Poland 11 528 509 497 294 90 51 858
Alexander Borichev France 11 401 0.8× 392 0.8× 412 0.8× 389 1.3× 84 0.9× 59 837
Jong Yeoul Park South Korea 20 650 1.2× 638 1.3× 410 0.8× 301 1.0× 49 0.5× 68 959
Massimo Gobbino Italy 14 271 0.5× 294 0.6× 282 0.6× 260 0.9× 42 0.5× 65 580
Khaled Zennir Saudi Arabia 13 394 0.7× 343 0.7× 295 0.6× 247 0.8× 86 1.0× 138 651
J.A. Soriano Brazil 17 1.2k 2.2× 1.1k 2.1× 907 1.8× 263 0.9× 52 0.6× 29 1.3k
Aı̈ssa Guesmia France 21 995 1.9× 846 1.7× 563 1.1× 103 0.4× 181 2.0× 60 1.1k
G. Perla Menzala Brazil 17 587 1.1× 369 0.7× 638 1.3× 244 0.8× 85 0.9× 74 923
E. J. P. Georg Schmidt Canada 11 466 0.9× 405 0.8× 237 0.5× 91 0.3× 79 0.9× 27 654
J.-P. Raymond France 17 429 0.8× 544 1.1× 188 0.4× 316 1.1× 47 0.5× 38 792
Mohammad A. Rammaha United States 20 876 1.7× 644 1.3× 867 1.7× 335 1.1× 31 0.3× 45 1.1k

Countries citing papers authored by Yuri Tomilov

Since Specialization
Citations

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

Fields of papers citing papers by Yuri Tomilov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Yuri Tomilov

This figure shows the co-authorship network connecting the top 25 collaborators of Yuri Tomilov. A scholar is included among the top collaborators of Yuri Tomilov 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 Yuri Tomilov. Yuri Tomilov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Batty, C. J. K., A. M. Gomilko, & Yuri Tomilov. (2025). Rational approximation of holomorphic semigroups revisited. Journal of the London Mathematical Society. 111(1).
2.
Gomilko, A. M. & Yuri Tomilov. (2024). Rational approximation of operator semigroups via theB-calculus. Journal of Functional Analysis. 287(1). 110426–110426. 1 indexed citations
3.
Batty, C. J. K., et al.. (2024). Analytic Besov functional calculus for several commuting operators. Journal of Spectral Theory. 14(2). 513–556.
4.
Batty, C. J. K., A. M. Gomilko, & Yuri Tomilov. (2021). The theory of Besov functional calculus: Developments and applications to semigroups. Journal of Functional Analysis. 281(6). 109089–109089. 8 indexed citations
5.
Müller, Veronika & Yuri Tomilov. (2019). Diagonals of operators and Blaschke’s enigma. Transactions of the American Mathematical Society. 372(5). 3565–3595. 6 indexed citations
6.
Batty, C. J. K., A. M. Gomilko, & Yuri Tomilov. (2019). A Besov algebra calculus for generators of operator semigroups and related norm-estimates. Mathematische Annalen. 379(1-2). 23–93. 10 indexed citations
7.
Gomilko, A. M. & Yuri Tomilov. (2018). On discrete subordination of power bounded and Ritt operators. Indiana University Mathematics Journal. 67(2). 781–829. 3 indexed citations
8.
Gomilko, A. M., et al.. (2018). A general approach to approximation theory of operator semigroups. Journal de Mathématiques Pures et Appliquées. 127. 216–267. 12 indexed citations
9.
Müller, Veronika & Yuri Tomilov. (2017). Circles in the spectrum and the geometry of orbits: A numerical ranges approach. Journal of Functional Analysis. 274(2). 433–460. 5 indexed citations
10.
Batty, C. J. K., Alexander Borichev, & Yuri Tomilov. (2015). L-tauberian theorems and L-rates for energy decay. Journal of Functional Analysis. 270(3). 1153–1201. 9 indexed citations
11.
Gomilko, A. M. & Yuri Tomilov. (2013). On convergence rates in approximation theory for operator semigroups. Journal of Functional Analysis. 266(5). 3040–3082. 16 indexed citations
12.
Müller, Veronika & Yuri Tomilov. (2013). “Large” weak orbits of C0-semigroups. Acta Scientiarum Mathematicarum. 79(3-4). 475–505. 1 indexed citations
13.
Gomilko, A. M., Markus Haase, & Yuri Tomilov. (2012). Bernstein functions and rates in mean ergodic theorems for operator semigroups. Journal d Analyse Mathématique. 118(2). 545–576. 11 indexed citations
14.
Gesztesy, Fritz, Yuri Latushkin, Konstantin A. Makarov, Fedor Sukochev, & Yuri Tomilov. (2011). The index formula and the spectral shift function for relatively trace class perturbations. Advances in Mathematics. 227(1). 319–420. 15 indexed citations
15.
Chill, Ralph & Yuri Tomilov. (2008). Operators L1(R+)→X and the norm continuity problem for semigroups. Journal of Functional Analysis. 256(2). 352–384. 8 indexed citations
16.
Gomilko, A. M., Hub Zwart, & Yuri Tomilov. (2007). Inverse operator of the generator of a C 0 -semigroup. Sbornik Mathematics. 198(8). 1095–1110. 9 indexed citations
17.
Arendt, Wolfgang, C. J. K. Batty, Mostafa Mbekhta, Yuri Tomilov, & Jaroslav Zemánek. (2007). Perspectives in operator theory. 3 indexed citations
18.
Chill, Ralph & Yuri Tomilov. (2007). Stability of operator semigroups: ideas and results. Banach Center Publications. 71–109. 34 indexed citations
19.
Latushkin, Yuri & Yuri Tomilov. (2003). Fredholm differential operators with unbounded coefficients. Journal of Differential Equations. 208(2). 388–429. 39 indexed citations
20.
Chill, Ralph & Yuri Tomilov. (2003). Stability of C0-semigroups and geometry of Banach spaces. Mathematical Proceedings of the Cambridge Philosophical Society. 135(3). 493–511. 6 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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