A website of a mathematician

I’m an Associate Professor in the Department of Mathematics at Swansea University.

My research is mainly about the topics in analysis, probability, mathematical physics, and PDE inspired by and used in the theory of complex systems.

I have dealt with infinite-dimensional analysis, applications of methods of functional analysis and probability theory to mathematical physics, random measures, stochastic dynamics, and mathematical biology. Currently, I am actively working on the study of non-local evolution equations arising as scaling limits for stochastic dynamics of the considered complex systems.

Interests

Complex Systems
Infinite-Dimensional Analysis
Point Processes
Non-local Evolution Equations
Population Ecology

Education

DSc (Habilitation) in Mathematics, 2014
Institute of Mathematics, Kyiv, Ukraine
PhD in Mathematics, 2004
Institute of Mathematics, Kyiv, Ukraine
MSc in Mathematics, 2000
Kyiv National Taras Shevchenko University

Experience

Associate Professor

Swansea University

Mar 2020 – Present Swansea, UK

Senior Lecturer

Swansea University

Mar 2017 – Feb 2020 Swansea, UK

Lecturer

Swansea University

Sep 2013 – Feb 2017 Swansea, UK

Scientific Fellow

Bielefeld University

Mar 2013 – Aug 2013 Bielefeld, Germany

Senior Research Fellow

Institute of Mathematics

Sep 2009 – Feb 2013 Kyiv, Ukraine

Research Fellow

Institute of Mathematics

Jan 2008 – Aug 2009 Kyiv, Ukraine

Junior Research Fellow

Institute of Mathematics

Dec 2003 – Dec 2007 Kyiv, Ukraine

Selected Publications

Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira (2022). Stirling operators in spatial combinatorics. Journal of Functional Analysis.

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Stephen Cornell, Yevhen Suprunenko, Dmitri Finkelshtein, Panu Somervuo, Otso Ovaskainen (2019). A unified framework for analysis of individual-based models in ecology and beyond. Nature Communications.

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Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira (2019). An infinite dimensional umbral calculus. Journal of Functional Analysis.

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Dmitri Finkelshtein, Pasha Tkachov (2018). The hair-trigger effect for a class of nonlocal nonlinear equations. Nonlinearity.

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Dmitri Finkelshtein, Pasha Tkachov (2018). Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues. Advances in Applied Probability.

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Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky, Oleksandr Kutoviy (2015). The statistical dynamics of a spatial logistic model and the related kinetic equation. Math. Models Methods Appl. Sci.

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Recent Publications

Sara Hamis, Panu Somervuo, J. Arvid Ågren, Dagim Shiferaw Tadele, Juha Kesseli, Jacob G. Scott, Matti Nykter, Philip Gerlee, Dmitri Finkelshtein, Otso Ovaskainen (2023). Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems. Journal of Mathematical Biology.

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Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira (2022). Stirling operators in spatial combinatorics. Journal of Functional Analysis.

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Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2021). Fecundity regulation in a spatial birth-and-death process. Stochastics and Dynamics.

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Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling (2021). Markov dynamics on the cone of discrete Radon measures. Methods Functional Analysis and Topology.

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Otso Ovaskainen, Panu Somervuo, Dmitri Finkelshtein (2021). Mathematical and simulation methods for deriving extinction thresholds in spatial and stochastic models of interacting agents. Methods in Ecology and Evolution.

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