in this paper, we introduce the  probabilistic normed groups. among other results, we investigate the continuityof inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. we also study midconvex functions defined  on probabilistic normed groups and  give  some results about locally boundedness of such  functions.

In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and  the common property (E.A.) in   modified  intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some common fixed point theorems in modified intuitionistic Menger probabilistic metric spaces satisfying an implicit relation.

A class of stochastic particle models for the spatially discretized time-dependent Schrödinger equation is constructed. Each particle is characterized by a complex-valued weight and a position. The particle weights change according to some deterministic rules between the jumps. The jumps are determined by the creation of offspring. The main result is that certain functionals of the particle sys...

In this paper we address the complexity of solving linear programming problems with a set of differential equations that converge to a fixed point that represents the optimal solution. Assuming a probabilistic model, where the inputs are i.i.d. Gaussian variables, we compute the distribution of the convergence rate to the attracting fixed point. Using the framework of Random Matrix Theory, we d...

We consider the initial boundary value problem u t = µu x + 1 2 u xx (t > 0, x ≥ 0) u(0, x) = f (x) (x ≥ 0) u t (t, 0) = ν u x (t, 0) (t > 0) of Stroock and Williams [12] where µ, ν ∈ IR and the boundary condition is not of Feller's type when ν < 0. We show that when f belongs to C 1 b with f (∞) = 0 then the following probabilistic representation of the solution is valid u(t, x) = E x f (X t) ...

Using the fixed point method, we establish a generalized Ulam Hyers stability result for the monomial functional equation in the setting of complete random p-normed spaces. As a particular case, we obtain a new stability theorem for monomial functional equations in β-normed spaces.

Fractional Fornberg-Whitham equation has a vast application in physics. There exist various investigations for the above problem by considering the variables and parameters as crisp/exact. In practice, we may not have these parameters exactly but those may be known in some uncertain form. In the present paper, these uncertainties are taken as interval/fuzzy and the authors proposed here a new m...

This paper analyses a pontwise limit of solutions to the first boundary value problem for the heat (or diffusion) equation in a sequence of unboundedly expanded domains of RN+1. The result implies asymptotic probability law for the standard N -dimensional Brownian motion. 2005 Elsevier Ltd. All rights reserved.

"Dynamic causal models" (DCMs) are a promising approach in the analysis of functional neuroimaging data due to their biophysical interpretability and their consolidation of functional-segregative and functional-integrative propositions. In this theoretical note we are concerned with the DCM framework for electroencephalographically recorded event-related potentials (ERP-DCM). Intuitively, ERP-D...

In this paper, we are interested in a nonlinear parabolic evolution equation occuring in rheology. We give a probabilistic interpretation to this equation by associating a nonlinear martingale problem with it. We prove existence of a unique solution P to this martingale problem. For any t, the time-marginal at time t of P admits a density ρ(t, x) with respect to the Lebesgue measure and the fun...