Non-equilibrium dynamics for a Widom–Rowlinson type model with mutations
M Friesen - Journal of Statistical Physics, 2017 - Springer
A dynamical version of the Widom–Rowlinson model in the continuum is considered. The
dynamics is modelled by a spatial two-component birth-and-death Glauber process where …
dynamics is modelled by a spatial two-component birth-and-death Glauber process where …
Evolution of states and mesoscopic scaling for two-component birth-and-death dynamics in continuum
M Friesen, O Kutoviy - arxiv preprint arxiv:1608.06560, 2016 - arxiv.org
Two coupled spatial birth-and-death Markov evolutions on $\mathbb {R}^ d $ are obtained
as unique weak solutions to the associated Fokker-Planck equations. Such solutions are …
as unique weak solutions to the associated Fokker-Planck equations. Such solutions are …
Stochastic averaging principle for spatial birth-and-death evolutions in the continuum
We study a spatial birth-and-death process on the phase space of locally finite
configurations\varGamma^+ *\varGamma^-Γ+× Γ-over R^ d R d. Dynamics is described by …
configurations\varGamma^+ *\varGamma^-Γ+× Γ-over R^ d R d. Dynamics is described by …
Weak-coupling limit for ergodic environments
The main aim of this work is to establish an averaging principle for a wide class of interacting
particle systems in the continuum. This principle is an important step in the analysis of …
particle systems in the continuum. This principle is an important step in the analysis of …
Stochastic averaging for a spatial population model in random environment
In this work we study the non-equilibrium Markov state evolution for a spatial population
model on the space of locally finite configurations $\Gamma^ 2=\Gamma^+\times\Gamma …
model on the space of locally finite configurations $\Gamma^ 2=\Gamma^+\times\Gamma …
[PDF][PDF] Interacting particle systems with applications to infection problems
M Friesen - 2017 - math.uni-wuppertal.de
The theory of interacting particle systems (= IPS) is a fast growing area in modern probability
and infinite dimensional analysis with various applications in, eg, mathematical physics …
and infinite dimensional analysis with various applications in, eg, mathematical physics …
Publication list
M Friesen, Y Hannappel, S Kakorin, T Hellweg… - 2016 - math.uni-wuppertal.de
Publication list Page 1 Publication list Martin Friesen November 9, 2016 References [1]
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krüger, T., and Kutoviy, O. (2015) …
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krüger, T., and Kutoviy, O. (2015) …
[CITATION][C] Weak-coupling for spatial birth-and-death evolutions
M Friesen, Y Kondratiev - 2016