Exponential family random graph models (ERGMs) are widely used to model networks by parameterizing probability in terms of a set user-selected sufficient statistics. Equivalently, ERGMs ca...

Abstract In the present work we revisit b -family model of peakon equations, containing as special cases = 2 (Camassa–Holm) and 3 (Degasperis–Procesi) integrable examples. We establish information about point spectrum solutions notably find that for suitably smooth perturbations there exists in right half plane rendering peakons unstable < 1. explore numerically these ideas realm fixed-point...

We are concerned with the exponential mean-square stability of two-step Maruyama methods for stochastic differential equations with time delay. We propose a family of schemes and prove that it can maintain the exponential mean-square stability of the linear stochastic delay differential equation for every step size of integral fraction of the delay in the equation. Numerical results for linear ...

We find the most general Self-dual Lorentzian Wormholes in a special class of teleparallel theory of gravitation. The spacetime of these wormholes is a static and it includes the Schwarzschild black hole, a family of naked singularity and a disjoint family of Lorentzian wormholes all of which have a vanishing scalar curvature R({}). The stability is studied using the equations of geodesic devia...

this paper attempts to analyze the consequences of using facebook and how it affects iranian couples, especially where family privacy is concerned. to put it in other words, the paper offers an argument on the question of how facebook membership challenges stability of the family system in the iranian society.  a special focus will be laid on facebook and its effect on transforming social norms...