2

Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems
Sara Hamis, Panu Somervuo, J. Arvid Ågren, Dagim Shiferaw Tadele, Juha Kesseli, Jacob G. Scott, Matti Nykter, Philip Gerlee, Dmitri Finkelshtein, Otso Ovaskainen
Cite DOI
Stirling operators in spatial combinatorics
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira
Cite DOI
Fecundity regulation in a spatial birth-and-death process
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a …
Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
PDF Cite DOI
Markov dynamics on the cone of discrete Radon measures
Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling
Cite
Mathematical and simulation methods for deriving extinction thresholds in spatial and stochastic models of interacting agents
Abstract In ecology, one of the most fundamental questions relates to the persistence of populations, or conversely to the probability …
Otso Ovaskainen, Panu Somervuo, Dmitri Finkelshtein
PDF Cite DOI
A general mathematical method for predicting spatio-temporal correlations emerging from agent-based models
Agent-based models are used to study complex phenomena in many fields of science. While simulating agent-based models is often …
Otso Ovaskainen, Panu Somervuo, Dmitri Finkelshtein
PDF Cite DOI
Extinction threshold in the spatial stochastic logistic model: space homogeneous case
Dmitri Finkelshtein
PDF Cite DOI
Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case
Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov
Cite DOI
Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira, Ludwig Streit
Cite DOI
A unified framework for analysis of individual-based models in ecology and beyond
Stephen Cornell, Yevhen Suprunenko, Dmitri Finkelshtein, Panu Somervuo, Otso Ovaskainen
Cite DOI