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The study of random walk in random evolving environment has attracted much attention lately. The basic idea is that, due to the time mixing properties of the environment, the CLT should hold in any ...
We consider random walks (RW) in a one-dimensional i.i.d. random environment with jumps to the nearest neighbours. For almost all environments, we prove a quenched Local Limit Theorem (LLT) for the...
It is well known that random walks in one dimensional random environment can exhibit subdiffusive behavior due to presence of traps. In this paper we show that the passage times of diffe...
Abstract: In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material propert...
Abstract: We consider the diffusion approximation of branching processes in random environment (BPREs). This diffusion approximation is similar to and mathematically more tractable than BPREs. We obta...
We consider transient random walks in random environment on Z in the positive speed (ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer proves that the hitti...
The intention of this paper is to illustrate a diligence of fuzzy transportation model in airlift process contrived according to the atmospheric conditions throughout rainy seasons. This paper formula...
In this paper we discuss the retailer’s ordering policy under two levels of delay payments by considering the selling price per item to be higher than the purchasing cost per item. The demand and sell...
Data envelopment analysis (DEA) is a method to estimate the relative efficiency of decision-making units ( DMUs) performing similar tasks in a production system that consumes multiple inputs to produc...
We survey recent results and open questions on the ballistic phase of stretched polymers in both annealed and quenched random environments
We consider the effect of Gaussian white noise on fast-slow dynamical systems with one fast and two slow variables, containing a folded-node singularity. In the absence of noise, these systems are kn...
We continue our study of the parabolic Anderson equation $\partial u/\partial t = \kappa\Delta u + \gamma\xi u$ for the space-time field $u\colon\,\Z^d\times [0,\infty)\to\R$, where $\kappa \in [0,\in...
We consider a supercritical branching process $(Z_n)$ in a random environment $\xi$. Let $W$ be the limit of the normalized population size $W_n=Z_n/E[Z_n|\xi]$. We first show a necessary and sufficie...
Consider a quantum system S that interacts sequentially with a chain (environment) of identical probes C = P + P + : : :, with each interaction governed by a xed interaction time  and operator V .I...
This paper is concerned with cost optimization of an insurance company. The sur-plus of the insurance company is modeled by a controlled regime switching diffusion,where the regime switching mechanism...

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