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We study the convergence of Markov Decision Processes made of a large number of objects to optimization problems on ordinary differential equations (ODE). We show that the optimal reward of such a Markov Decision Process, satisfying a Bellman equation, con ...
Because human leukocyte antigen (HLA) associations with various infectious diseases have recently been reported, we examined the role of HLA class I alleles in the development of progressive multifocal leukoencephalopathy (PML) or its outcome in 152 patien ...
The population dynamics of an assembly of globally coupled homogeneous phase oscillators is studied in presence of non-Gaussian fluctuations. The variance of the underlying stochastic process grows as t + \beta^2 t^2 ( \beta being a constant) and therefore ...
The zebra mussel (Dreissena polymorpha) is a freshwater bivalve that has caused dramatic ecological and economic impacts worldwide in the last decades. Its success as ecosystem invader is mainly due to the species ability of spreading along rivers, togethe ...
We consider the general problem of finding fair constrained resource allocations. As a criterion for fairness we propose an inequality index, termed “fairness ratio,” the maximization of which produces Lorenz-undominated, Pareto-optimal allocations. The fa ...
Uncertain environments pose a tremendous challenge to populations: The selective pressures imposed by the environment can change so rapidly that adaptation by mutation alone would be too slow. One solution to this problem is given by the phenomenon of stoc ...
Populating virtual environments (VEs) with large crowds is a subject that has been tackled for several years. Solutions have been proposed to offer realistic trajectories as well as interactivity, but limitations remain on the environment dimensions with r ...
The modelling of prey-predator interactions is of major importance for the understanding of population dynamics. Classically, these interactions are modelled using ordinary differential equations, but this has the drawbacks of assuming continuous populatio ...
We introduce Markov Decision Evolutionary Games with N players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the instantaneous payo ...
The life cycle of several sessile or highly sedentary aquatic species is characterized by a pelagic stage, during which propagules are dispersed by the water flow. As a consequence, hydrodynamics plays a crucial role in redistributing offspring. In this wo ...
