We consider different models of stochastic dissipative equations and theoretically compute the probability distribution functions (actually the associated large deviation functions) of the time averaged injected power required to sustain a nontrivial stationary state. We discuss the results and...

Given an arbitrary probability distribution and a nondegenerate energy spectrum, so that a mean energy U can be computed, we derive the partition function Z and the entropic functional S that satisfy the basic relation dU=TdS. The procedure is illustrated by considering examples of typical...

We study Hopfield neural networks with infinite connectivity using signal-to-noise analysis with a formulation of the dynamics in terms of transition probabilities. We focus our study on models where the strongest effects of the feedback correlations appear. We introduce an analysis of the path...

In this post the contents of the book "Introduction to Sub-Interval Analysis and its Applications" are briefly reviewed in the Russian language, for the convenience of Russian and Russian-speaking readers.

Remaking the primary source of an old good idea of the “lattice expectation”, published by me in 1975 at the first time and subsequently, especially in the western literature on stochastic geometry and the theory of random sets, named from a light hand of Dietrich Stoyan [1994] “Vorob’ev...

В настоящей заметке, для удобства российских и русскоговорящих читателей, на русском языке кратко рассмотрено содержание книги "Введение в Суб-Интервальный...

An introduction to interval analysis of distributions, as a new direction of interval analysis, is presented, including illustrated examples. New formulas and additional restrictions for intervals of moments, including mean value, are obtained. Among them are Novoselov formulas for moments and...

Purpose–The purpose of this paper is to build an easy to implement, pragmatic and parsimonious yet accurate model to determine an exposure at default (EAD) distribution for CCL (contingent credit lines) portfolios. Design/methodology/approach–Using an algorithm similar to the basic...