The systematic approach for the off-perturbative calculations in disordered systems is developed. The proposed scheme is applied for the random temperature and the random field ferromagnetic Ising models. It is shown that away from the critical point, in the paramagnetic phase of the random...

A key question in the design of engineered competitive systems has been that of the efficiency loss of the associated equilibria. Yet, there is little known in this regard in the context of stochastic dynamic games, particularly in a large population regime. In this paper, we revisit a class of...

In this paper, we study analytically a simple model of salary distributions where two individuals, (employees) who both work for the same organisation, compare salaries. The higher paid individual does nothing but the lower paid individual leaves the organisation and is replaced by another,...

We analyzed a network structure formed by monetary transactions between financial institutions. We present a procedure to extract a network structure from a set of records of transactions. The extracted network has self-similarity described by a power-law degree distribution. We also introduce a...

Mean field approximation of a large collection of FitzHugh–Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by N≫1 stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential...

We introduce an analytical model for population dynamics with intra-specific competition, mutation and assortative mating as basic ingredients. The set of equations that describes the time evolution of population size in a mean-field approximation may be decoupled. We find a phase transition...

This paper makes an attempt to deal with the description, and possibly the explanation, of the profound transformation of the city, and of the changes in urban experience and practices, connected with the shape of contemporary urbanization. I stress the term description, because as it occurs in...