Displaying similar documents to “An almost sure invariance principle for renormalized intersection local times.”

The large deviation principle for certain series

Miguel A. Arcones (2004)

ESAIM: Probability and Statistics

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We study the large deviation principle for stochastic processes of the form { ∑ k = 1 ∞ x k ( t ) ξ k : t ∈ T } , where { ξ k } k = 1 ∞ is a sequence of i.i.d.r.v.’s with mean zero and x k ( t ) ∈ ℝ . We present necessary and sufficient conditions for the large deviation principle for these stochastic processes in several situations. Our approach is based in showing the large deviation principle of the finite dimensional distributions and an exponential asymptotic equicontinuity condition. In order to get the exponential asymptotic equicontinuity...

Stabilization of a layered piezoelectric 3-D body by boundary dissipation

Boris Kapitonov, Bernadette Miara, Gustavo Perla Menzala (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary...