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Slow Manifolds for Multi-Time-Scale Stochastic Evolutionary Systems
Slow Manifolds Multi-Time-Scale Stochastic Evolutionary Systems Probability
2012/5/24
This article deals with invariant manifolds for infinite dimensional random dynamical systems with different time scales. Such a random system is generated by a coupled system of fast-slow stochastic ...
Real-world road networks have an approximate scale-invariance property; can one devise mathematical models of random networks whose distributions are {\em exactly} invariant under Euclidean scaling? T...
Large scale behaviour of the spatial Lambda-Fleming-Viot process
spatial Lambda-Fleming-Viot process Large scale behaviour Probability
2011/9/16
Abstract: We consider the spatial Lambda-Fleming-Viot process model for frequencies of genetic types in a population living in R^d, in the special case in which there are just two types of individual,...
SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold
Epidemics SIR Reed-Frost percolation long-range directed scale-free modular nested communities hierarchical
2011/8/30
Abstract: We propose a class of random scale-free spatial networks with nested community structures and analyze Reed-Frost epidemics with community related independent transmissions. We show that the ...
Price decomposition in large-scale stochastic optimal control
Stochastic optimal control Decomposition methods
2011/1/20
We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (D...