Long-Time Asymptotic of Stable Dawson-Watanabe Processes in Supercritical Regimes

Some Local Approximations of Dawson – Watanabe

Let ξ be a Dawson–Watanabe superprocess in R such that ξt is a.s. locally finite for every t ≥ 0. Then for d ≥ 2 and fixed t > 0, the singular random measure ξt can be a.s. approximated by suitably normalized restrictions of Lebesgue measure to the ε-neighborhoods of supp ξt. When d ≥ 3, the local distributions of ξt near a hitting point can be approximated in total variation by those of a stat...

Three Long Wave Asymptotic Regimes for the Nonlinear-schrödinger Equation

We survey some recent results related to three long wave asymptotic regimes for the Nonlinear-Schrödinger Equation: the Euler regime corresponding to the WKB method, the linear wave regime and finally the KdV/KP-I asymptotic dynamics.

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Isolation of a stable lacunary Dawson-type polyoxomolybdate cluster.

A polyoxotetradecamolybdate cluster [Mo(14)O(38)(OAc)(6)](2-), which has a lacunary core of the Wells-Dawson structure, is isolated by the reduction of [Mo(6)O(19)](2-). The Mo(14) core is comprised of a mixed valence of [Mo(V)(4)Mo(VI)(10)], exhibiting multi-step reversible redox processes that experience both oxidation and reduction.

Ergodicity for Time Changed Symmetric Stable Processes

In this paper we study the ergodicity and the related semigroup property for a class of symmetric Markov jump processes associated with time changed symmetric α-stable processes. For this purpose, explicit and sharp criteria for Poincaré type inequalities (including Poincaré, super Poincaré and weak Poincaré inequalities) of the corresponding non-local Dirichlet forms are derived. Moreover, our...