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In this paper, necessary and sufficient conditions are given for the existence of the group inverse of the block matrix A A..
Necessary and sufficient conditions for the equivalence and congruence of matrices under the action of standard parabolic subgroups are discussed..
389.. In this paper we consider the following situation. We give necessary and sufficient conditions for this Leonard pair to be isomorphic to A, A ∗. When working with a Leonard
Key words: Self-similar Markov process, L´evy process, Lamperti representation, last pas- sage time, time reversal, integral test, law of the iterated logarithm.. AMS 2000
and Shi, Z.: An iterated logarithm law for Cauchy’s principal value of Brownian local times. In: Exponential Functionals and Principal Values Related to Brownian
In particular, when the Markov process in question is a diffusion, we obtain the integral test corresponding to a law of the iterated logarithm due to
Then, we give sufficient conditions for a σ-finite measure to be invariant for this conditional process with any realization of the given Brownian motion.. In Section 4, we show
Law of the iterated logarithm, central limit theorem, generalized domain of attraction, extreme values, operator normalization, self normalization, t