We study the asymptotic behavior of asymmetrical spin glass dynamics in a Sherrington-Kirkpatrick model as proposed by Sompolinsky-Zippelius. We prove that the annealed law of the empirical measure on path space of these dynamics satisfy a large deviation principle in the high temperature regime. We study the rate function of this large deviation principle and prove that it achieves its minimum...

We develop a methodology for studying “large deviations type” questions. Our approach does not require that the large deviations principle holds, and is thus applicable to a larg class of systems. We study a system of queues with exponential servers, which share an arrival stream. Arrivals are routed to the (weighted) shortest queue. It is not known whether the large deviations principle holds ...

An instance of the max k−cut game is an edge weighted graph. Every vertex is controlled by an autonomous agent with strategy space [1..k]. Given a player i, his payoff is defined as the total weight of the edges [i, j] such that player j’s strategy is different from player i’s strategy. The social welfare is defined as the weight of the cut, i.e. half the sum of the players payoff. It is known ...

In the analysis of criminal behaviour, a combination of biological, psychological and social aspects may be taken into account. Dynamical modelling methods developed in recent years often address biological, psychological, or social dynamical systems separately. This paper makes the first step in the development of an agent-based modelling approach for criminal behaviour in which these aspects ...

Facebook use in higher education has grown exponentially in recent years, with both academics and students seeking to use it to support learning processes. Noting that research into educational cyberspace has generally ignored spatial elements, this paper redresses this deficiency through using Foucault’s (1986) discussion of different spaces to examine Facebook use. Recognising that more than ...

Purpose: to work out content of individualized trainings, permitting to correct deviations in different aspects of physical, psychic and social-moral health of higher educational establishments’ students. Material: in experiment 105 boy students of 20-24 years’ age participated. All students gave conscious consent to participate in experiment. The trainings were practiced 4 times a week, 45 min...