The existence and uniqueness of stationary distributions the exponential convergence in $ L^p $-Wasserstein distance are derived for SDEs driven by distribution dependent noise without uniformly dissipative drift. By using Talagrand inequality associated decoupled equations, global local convergences established, explicit rate is obtained. Our results can be applied to Curie-Weiss model granula...

We consider a Lévy process with no negative jumps, reflected at a stochastic boundary that is a positive constant multiple of an age process associated with a Poisson process. We show that the stability condition for this process is identical to the one for the case of reflection at the origin. In particular, there exists a unique stationary distribution that is independent of initial condition...

This research has been inspired by several papers on processes with inert drift [5, 6, 4, 3, 1]. The model involves a “particle” X and an “inert drift” L, neither of which is a Markov process by itself, but the vector process (X, L) is Markov. It turns out that for a number of diffusions with inert drift, the stationary measure has the product form; see [1]. The purpose of this note is to chara...

Iterative imputation, in which variables are imputed one at a time each given a model predicting from all the others, is a popular technique that can be convenient and flexible, as it replaces a potentially difficult multivariate modeling problem with relatively simple univariate regressions. In this paper, we begin to characterize the stationary distributions of iterative imputations and their...

We wish to draw an attention to a non-gibbsian behavior of zero-dimensional semiconductor nanostructures, which appears to be manifested in experiments by an effect of incomplete depopulation from electronic excited states or by an effect of up-conversion of electronic level occupation after preparing the system in the ground state of electronic excitation. In the present work the effect is int...

Key predistribution is a popular technique for key distribution in sensor networks. The schemes available in current literature using this approach are for nodes with no or limited mobility. In this paper we present two key predistribution based scheme for heterogeneous networks i.e. networks which consist of nodes which are stationary as well as highly mobile. The existing schemes make use of ...