This article is concerned with relating the stability of a population, as defined by the rate of decay of fluctuations induced by demographic stochasticity, with its heterogeneity in age-specificâ€¦ (More)

In the investigations of chaos in dynamical systems a major role is played by symbolic dynamics, i.e. the description of the system by a shift on a symbol space via conjugation. We examine whetherâ€¦ (More)

This article is concerned with the characterization and existence of evolutionarily stable strategies (ESS) in Games against Nature, a class of models described by finite size populations andâ€¦ (More)

Darwinian fitness describes the capacity of an organism to appropriate resources from the environment and to convert these resources into net-offspring production. Studies of competition betweenâ€¦ (More)

We introduce random homoclinic points and orbits for random dynamical systems with hyperbolic stationary orbits and investigate their meaning for irregular behaviour in form of a stochastic versionâ€¦ (More)

We review deenitions of random hyperbolic sets and introduce a characterization using random cones. Moreover we discuss problems connected with symbolic representations and the thermody-namicâ€¦ (More)

A central role in the thermodynamic formalism of measure preserving transformations is played by the pressure function. For the setup of random dynamical systems (skew-product transformations) weâ€¦ (More)

We study Ruelleâ€™s transfer operator L induced by a Cr+1â€“smooth expanding map Ï† of a smooth manifold and a Crâ€“smooth bundle automorphism Î¦ of a real vector bundle E . We prove the following exactâ€¦ (More)

In a series of three papers, we study the geometrical and statistical structure of a class of coupled map lattices with natural couplings. These are innnite-dimensional analogues of Axiom A systems.â€¦ (More)

In a series of three papers, we study the geometrical and statistical structure of a class of coupled map lattices with natural couplings. These are innnite-dimensional analogues of Axiom A systems.â€¦ (More)