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We consider excited random walk on a strip. We assume that the cookies are positive and that the total expected drift per site is less than 1/L where L is the width of the strip. We prove a quenched...
本文假定风险资产的价格满足马尔可夫调制的几何Lė;vy过程,其中市场利率、风险资产的平均回报率、波动率以及跳跃强度和幅度都依赖于市场的经济状态,这些经济状态由一连续时间马尔可夫链描述. 由于该模型下的市场是不完备的,在本文中我们首先采用局部风险最小化方法获得了欧式未定权益的最优套期保值策略. 接着,本文给出了一个具体的例子,得到了马尔科夫调制的几何布朗运动模型下的最优套期保值策略的数值结...
For semi-linear wave equations with null form non-linearities on R3+1, we exhibit an open set of initial data which are allowed to be large in energy spaces, yet we can still obtain global solutions i...
We investigate the long-time evolution of branching diffusion processes (starting with a single particle) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of ...
A multi-class single-server system with general service time distributions is studied in a moderate deviation heavy traffic regime. In the scaling limit, an optimal control problem associated with the...
In a recent work of the authors and Kim, we derived a complete description of the largest component of the Erd\H{o}s-R\'enyi random graph $G(n,p)$ as it emerges from the critical window, i.e. for $p =...
Abstract: In a continuous time stochastic economy, this paper considers the problem of consumption and investment in a financial market in which the representative investor exhibits a change in the di...
Abstract: We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected support. Thus,...
The exact Markov modeling analysis of erasure networks with finite buffers is an extremely hard problem due to the large number of states in the system. In such networks,packets are lost due to either...
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
We study various statistics related to the eigenvalues and eigenfunctions of random Hamiltonians in the localized regime. Consider a random Hamiltonian at an energy $E$ in the localized phase. Assume ...
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...
We consider a random walk in a stationary ergodic environment in Z, with unbounded jumps. In addition to uniform ellipticity and a bound on the tails of the possible jumps, we assume a condition of s...
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes was introduced in ...
In this paper, wireless systems operating under queueing constraints in the form of limitations on the buffer violation probabilities are considered. The throughput under such constraints is captured ...

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