Asymptotics of the invariant measure in mean field models with jumps

Invariant Measure for Diffusions with Jumps

Our purpose is to study an ergodic linear equation associated to diffusion processes with jumps in the whole space. This integro-differential equation plays a fundamental role in ergodic control problems of second order Markov processes. The key result is to prove the existence and uniqueness of an invariant density function for a jump diffusion, whose lower order coefficients are only Borel me...

Asymptotics for parametric GARCH - in - Mean Models

Jumps of the Eta-invariant

In 2], Atiyah, Patodi and Singer introduced an invariant D of any self-adjoint elliptic diierential operator D on an odd-dimensional oriented closed manifold M, in order to prove an index theorem for manifolds with boundary. For the germi-nal case of the \signature operator"the relevant D is (d ? d), where the Hodge duality operator is determined by the Reimannian metric on M. They consider, mo...

On the Measure-theoretic Character of an Invariant Mean

0. Introduction. M. M. Day has shown that an abelian group has only one invariant mean if, and only if, the group is finite [3, Theorem 4, p. 534]. Knowing this we now ask to what extent the invariant means on a given abelian group are alike. In this paper we shall show that they all have the same "measure-theoretic character." An invariant mean on an abelian group G is a normalized, positive, ...

the study of aaag repeat polymorphism in promoter of errg gene and its association with the risk of breast cancer in isfahan region

چکیده: سرطان پستان دومین عامل مرگ مرتبط با سرطان در خانم ها است. از آنجا که سرطان پستان یک تومور وابسته به هورمون است، می تواند توسط وضعیت هورمون های استروئیدی شامل استروژن و پروژسترون تنظیم شود. استروژن نقش مهمی در توسعه و پیشرفت سرطان پستان ایفا می کند و تاثیر خود را روی بیان ژن های هدف از طریق گیرنده های استروژن اعمال می کند. اما گروه دیگری از گیرنده های هسته ای به نام گیرنده های مرتبط به ا...