There are roughly speaking the two extreme types of dynamical density functional theories: one is deterministic without noise and another is fully stochastic with noise. We attempt to interpolate these extreme limiting theories for general reduced description of time evolution by making use of a...

To extend Onsager–Machlup's theory, Bertini, De Sole, Gabrielli, Jona-Lasino and Landim proposed a fluctuation theory for the steady states of stochastic nonequilibrium systems, which predicts a temporal asymmetry between a fluctuation and its relaxation. Here, this theory is considered in the...

In this paper we consider dynamic processes, in repeated games, that are subject to the natural informational restriction of uncoupledness. We study the almost sure convergence to Nash equilibria, and present a number of possibility and impossibility results. Basically, we show that if in...

A new model ecosystem of many interacting species is introduced in which the species are connected through a random matrix with a given connectivity. The model is studied both analytically and by numerical simulations. A probability distribution derived from the model is in good agreement with...