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.

Cite DOI

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

Cite DOI

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.

PDF Cite DOI

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

Cite

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

PDF Cite DOI

Dmitri Finkelshtein (2020). Extinction threshold in the spatial stochastic logistic model: space homogeneous case. Applicable Analysis.

PDF Cite DOI

Otso Ovaskainen, Panu Somervuo, Dmitri Finkelshtein (2020). A general mathematical method for predicting spatio-temporal correlations emerging from agent-based models. Journal of The Royal Society Interface.

PDF Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov (2019). Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case. Journal of Elliptic and Parabolic Equations.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira, Ludwig Streit (2019). Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis. Journal of Mathematical Analysis and Applications.

Cite DOI

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.

Cite DOI

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

Cite DOI

Dmitri Finkelshtein, Pasha Tkachov (2019). An Ikehara-type theorem for functions convergent to zero. Comptes Rendus Mathematique.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov (2019). Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations. Electronic Journal of Differential Equations.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov (2019). Doubly nonlocal Fisher-KPP equation: Speeds and uniqueness of traveling waves. J. of Mathematical Analysis and Applications.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov (2019). Doubly nonlocal Fisher-KPP equation: Front propagation. Applicable Analysis.

Cite DOI

Dmitri Finkelshtein, Pasha Tkachov (2019). Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line. Applicable Analysis.

Cite DOI

Alexei Daletskii, Dmitri Finkelshtein (2018). Non-equilibrium Particle Dynamics with Unbounded Number of Interacting Neighbors. J. Statistical Physics.

Cite DOI

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

Cite DOI

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.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Stanislav Molchanov, Pasha Tkachov (2018). Global stability in a nonlocal reaction-diffusion equation. Stochastic and Dynamics.

Cite DOI

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.

Cite DOI

Dmitri Finkelshtein, Martin Friesen, Haralampos Hatzikirou, Yuri Kondratiev, Tyll. Krueger, Kutoviy Oleksandr (2015). Stochastic models of tumour development and related mesoscopic equations. Interdisciplinary Studies of Complex Systems.

Cite

Dmitri Finkelshtein, Yuri Kondratiev, Ole Kutoviy (2015). Statistical dynamics of continuous systems: perturbative and approximative approaches. Arab. J. Math..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Maria João Oliveira (2015). Dynamical Widom--Rowlinson model and its mesoscopic limit. J. Stat. Phys..

Cite DOI

Dmitri Finkelshtein (2015). Around Ovsyannikov's method. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Elena Zhizhina (2014). On an aggregation in birth-and-death stochastic dynamics. Nonlinearity.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Stas Molchanov, Elena Zhizhina (2014). Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates. Russ. J. Math. Phys..

Cite DOI

Otso Ovaskainen, Dmitri Finkelshtein, Oleksandr Kutoviy, Stephen Cornell, Ben Bolker, Yuri Kondratiev (2014). A~mathematical~fra­me­work for the analysis of spatial-temporal point processes. Theoretical Ecology.

Cite DOI

Dmitri Finkelshtein, Maria João Oliveira (2014). A survey on Bogoliubov generating functionals for interacting particle systems in the continuum. From Particle Systems to Partial Differential Equations.

Cite

Dmitri Finkelshtein (2013). On convolutions on configuration spaces. II. Spaces of locally finite configurations.. Ukrainian Math. J..

Cite DOI

Dmitri Finkelshtein (2013). On convolutions on configuration spaces. I. Spaces of finite configurations.. Ukrainian Math. J..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky (2013). Glauber dynamics in continuum: a constructive approach to evolution of states. Discrete and Cont. Dynam. Syst. - Ser A.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky, Oleksandr Kutoviy (2013). Stochastic evolution of a continuum particle system with dispersal and competition: Micro- and mesoscopic description. The European Physical Journal Special Topics.

Cite

Dmitri Finkelshtein, Yuri Kondratiev, Maria Jo ao Oliveira (2013). Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems. Reports Math. Phys..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2013). Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations. Infin. Dimens. Anal. Quantum Probab. Relat. Top..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2013). An operator approach to Vlasov scaling for some models of spatial ecology. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2012). Semigroup approach to birth-and-death stochastic dynamics in continuum. J. Funct. Anal..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Maria João Oliveira (2012). Kawasaki dynamics in the continuum via generating functionals evolution. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Maria João Oliveira (2012). Glauber dynamics in the continuum via generating functionals evolution. Complex Analysis and Operator Theory.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2012). Correlation functions evolution for the Glauber dynamics in continuum. Semigroup Forum.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Elena Zhizhina (2012). An approximative approach for construction of the Glauber dynamics in continuum. Math. Nachr..

Cite DOI

Dmitri Finkelshtein (2011). Functional evolutions for homogeneous stationary death-immigration spatial dynamics. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2011). Vlasov scaling for the Glauber dynamics in continuum. Infin. Dimens. Anal. Quantum Probab. Relat. Top..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Eugene Lytvynov (2011). Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit. J. Math. Physics.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Eugene Lytvynov (2011). Binary jumps in continuum. I. Equilibrium processes and their scaling limits. J. Math. Physics.

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2010). Vlasov scaling for stochastic dynamics of continuous systems. J. Stat. Phys..

Cite DOI

Dmitri Finkelshtein (2009). Measures on two-component configuration spaces. Condensed Matter Physics.

Cite

Dmitri Finkelshtein, Yuri Kondratiev (2009). Regulation mechanisms in spatial stochastic development models. J. Stat. Phys..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Maria Jo ao Oliveira (2009). Markov evolutions and hierarchical equations in the continuum. I. One-component systems. J. Evol. Equ..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy (2009). Individual based model with competition in spatial ecology. SIAM J. Math. Anal..

Cite DOI

Denis Filonenko, Dmitri Finkelshtein, Yuri Kondratiev (2008). On two-component contact model in continuum with one independent component. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov (2007). Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics. Random Oper. Stoch. Equ..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev (2005). Measures on configuration spaces defined by relative energies. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein (2004). Second order differential operators on the configuration spaces. Symmetry in nonlinear mathematical physics. Part 1, 2, 3.

Cite

Dmitri Finkelshtein (2004). The spectral gap inequality in configuration spaces and the concentration properties of a Poisson measure. Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki.

Cite

Dmitri Finkelshtein (2003). Spectral gap inequalities on configuration spaces. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Yuri Kondratiev, Michael Röckner, Alexei Konstantinov (2001). Gauss formula and symmetric extensions of the Laplacian on configuration spaces. Infin. Dimens. Anal. Quantum Probab. Relat. Top..

Cite DOI

Dmitri Finkelshtein, Yuri Kondratiev, Alexei Konstantinov, Michael Röckner (2000). Symmetric differential operators of the second order in Poisson spaces. Methods Funct. Anal. Topology.

PDF Cite

Dmitri Finkelshtein, Georgi Us (1998). On exponential model of Poisson spaces. Methods Funct. Anal. Topology.

PDF Cite