Local Perturbations of Energy and Kac’s Return Time Theorem
نویسندگان
چکیده
A bstract. We introduce the notion of local perturbations for normalized energies and study their effect on the level of equilibrium measures. Using coupling technics and Kac’s return time theorem, we obtain some d̄-estimates for the equilibrium measures. These reveal stability of certain energies under local perturbations. They also show how some weak-⋆ convergence of equilibrium may be obtained in absence of ‖ ‖∞-accuracy of the energies.
منابع مشابه
Statistical characteristics of the Poincaré return times for a one - dimensional nonhyperbolic map
Characteristics of the Poincaré return times are considered in a one-dimensional cubic map with a chaotic nonhyperbolic attractor. Two approaches, local one (Kac’s theorem) and global one related with the AP-dimension estimation of return times, are used. The return times characteristics are studied in the presence of external noise. The characteristics of Poincaré recurrences are compared with...
متن کاملThe Brownian Excursion multi - dimensional local time density ∗
Expressions for the multi-dimensional densities of Brownian excursion local time are derived by two different methods: A direct method based on Kac’s formula for Brownian functionals and an indirect one based on a limit theorem for Galton-Watson trees.
متن کاملOn the local time density of the reflecting Brownian bridge
Expressions for the multi-dimensional densities of Brownian bridge local time are derived by two different methods: A direct method based on Kac’s formula for Brownian functionals and an indirect one based on a limit theorem for strata of random mappings.
متن کاملPerturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
Using fixed pointmethods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$
متن کاملLecture 16: Representations of Quivers
Now we proceed to study representations of quivers. We start by recalling some basic definitions and constructions such as the path algebra and indecomposable representations. Then we state a theorem of Kac that describes the dimensions, where the indecomposable representations occur as well as the number of parameters needed to describe their isomorphism classes. We will prove the Kac theorem ...
متن کامل