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Random Perturbations and
, 2008
"... The following resources related to this article are available online at ..."
A Randomly Perturbed Elliptic Problem
"... Efficient approximation, error estimation, and adaptive computation for randomly perturbed ..."
Abstract
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Efficient approximation, error estimation, and adaptive computation for randomly perturbed
Stability of equilibria of randomly perturbed maps
"... Abstract We derive a sufficient condition for stability in probability of an equilibrium of a randomly perturbed map in R d . This condition can be used to stabilize weakly unstable equilibria by random forcing. Analytical results on stabilization are illustrated with numerical examples of randomly ..."
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Abstract We derive a sufficient condition for stability in probability of an equilibrium of a randomly perturbed map in R d . This condition can be used to stabilize weakly unstable equilibria by random forcing. Analytical results on stabilization are illustrated with numerical examples
ESCAPE RATES FORMULAE AND METASTABLILTY FOR RANDOMLY PERTURBED MAPS
, 2015
"... rates formulae and metastablilty for randomly perturbed maps ..."
Stochastic Perturbation Theory
, 1988
"... . In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a first-order perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating the variatio ..."
Abstract
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Cited by 907 (36 self)
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. In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a first-order perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating
Localization for random perturbations of periodic Schrödinger operators
, 1998
"... We prove localization for Anderson-type random perturbations of periodic Schrödinger operators on R near the band edges. General, possibly unbounded, single site potentials of fixed sign and compact support are allowed in the random perturbation. The proof is based on the following methods: (i) A s ..."
Abstract
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Cited by 64 (18 self)
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We prove localization for Anderson-type random perturbations of periodic Schrödinger operators on R near the band edges. General, possibly unbounded, single site potentials of fixed sign and compact support are allowed in the random perturbation. The proof is based on the following methods: (i) A
RANDOM PERTURBATIONS OF DIFFEOMORPHISMS WITH DOMINATED SPLITTING
, 2004
"... We prove that the statistical properties of random perturbations of a nonuniformly hyperbolic diffeomorphism are described by a finite number of stationary measures. We also give necessary and sufficient conditions for the stochastic stability of such dynamical systems. We show that a certain C²-op ..."
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Cited by 1 (0 self)
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We prove that the statistical properties of random perturbations of a nonuniformly hyperbolic diffeomorphism are described by a finite number of stationary measures. We also give necessary and sufficient conditions for the stochastic stability of such dynamical systems. We show that a certain C
Random perturbations of nonuniformly expanding maps
, 2000
"... We give both sufficient conditions and necessary conditions for the stochastic stability of non-uniformly expanding maps either with or without critical sets. We also show that the number of probability measures describing the statistical asymptotic behaviour of random orbits is bounded by the numbe ..."
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Cited by 43 (24 self)
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We give both sufficient conditions and necessary conditions for the stochastic stability of non-uniformly expanding maps either with or without critical sets. We also show that the number of probability measures describing the statistical asymptotic behaviour of random orbits is bounded
On The Spectrum Of Randomly Perturbed Expanding Maps
, 1992
"... . We consider small random perturbations of expanding and piecewise expanding maps and prove the robustness of their invariant densities and rates of mixing. We do this by proving some simple lemmas about the robustness of the spectra of certain operators. These abstract results are then applied to ..."
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. We consider small random perturbations of expanding and piecewise expanding maps and prove the robustness of their invariant densities and rates of mixing. We do this by proving some simple lemmas about the robustness of the spectra of certain operators. These abstract results are then applied
Results 1 - 10
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