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The following theorem is the indefinite version of the Chaotic Furuta inequality, a result previously stated in the context of Hilbert spaces by Fujii, Furuta and Kamei [ 5 ]..
Characterizations are obtained for Schur (Hadamard) multiplicative maps on com- plex matrices preserving the spectral radius, numerical radius, or spectral norm.. Similar results
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
In section 4 we use this coupling to show the uniqueness of the stationary interface, and then finish the proof of theorem 12. Stochastic compactness for the width of
(1992) Limit theorems on large deviations for semimartin- gales, Stochastic and Stochastics Reports. (1997) Estimation of a dynamic function for a stochastic system with a
Li, Strong p -completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds. Strichartz, Harmonic analysis on constant curvature
We prove that a stochastic flow of reflected Brownian motions in a smooth multidimensional domain is differentiable with respect to its initial position.. The derivative is a linear
For example, in [ 3 ] the uniqueness of the stochastic linear transport equation with Hölder continuous drift was proved, through new results about stochastic flows of class C 1,
