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For the Gibbs measure which is obtained as the limit of finite size Gibbs measures with free boundary con- dition, a central limit theorem is also proved, but the limit is not
We shall use known geometric characterization of the essential spectrum [HS96, Theorem 10.6 p.102] to prove the invariance of σess(Hµ), when µ has compact support..
In the setting of an arbitrary super-reflexive space, we pursue a different aspect of the impact of rotations on the operator ergodic theory framework by applying the rotation group
We proved the existence of a limit cycle in the model of inflation, that is, under the assumptions given in Theorem 4.1 we found the critical value of the parameter µ , the limit
In this section we’ll prove two lemmas which will be used to prove the main theorem of the paper announced in Introduction..
Another example [16, Example 7] shows that there exist operators for which Browder’s theorem holds, while the spectral mapping theorem for the Weyl spectrum fails.. The
From the fact that the bilinear forms associated with this two quadratic forms are equals, we obtain another characterization of the 2-Killing vector
Limit distributions of integral functionals for time-homogeneous Markov processes are well studied for ergodic positive recurrent processes.. For instance, the limit distributions
