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The Non-Bayesian Restless Multi-Armed Bandit: a Case of Near-Logarithmic Regret
The Non-Bayesian Restless Multi-Armed Bandit:Near-Logarithmic Regret
2010/11/24
In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activa...
Asymptotic Limit of a Singularly Perturbed Stationary Diffusion Equation: The Case of a Limit Cycle
Diffusion Equation Limit Cycle
2010/11/23
A limit cycle for a nonlinear ordinary differential equation has a sustained, stationary oscillation in time; Any non-trivial stationary stochastic process also exhibits stationary oscillations in tim...
Study of the Spin-weighted Spheroidal Equation in the Case of s=1
the Spin-weighted Spheroidal Equation the Case of s=1
2010/11/23
We present series study of using the method of super-symmetric quantum mechanics(SUSYQM) solving the spin-weighted spheroidal wave equation. In this paper, we obtain the first four terms of super-pot...
Flows of constant mean curvature tori in the 3-sphere: The equivariant case
curvature tori the 3-sphere
2010/11/18
We present a deformation for constant mean curvature tori in the 3-sphere. We show that the moduli space of equivariant constant mean curvature tori in the 3-sphere is connected, and we classify the m...