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In section 4 we give also a new example of an integral operator that preserves meromorphic starlike functions..
Keywords random matrix, Schr¨ odinger operator, Lyapunov exponent, eigenvalue distribution, complex eigenvalue.. AMS subject classification 82B44, 47B36, 15A52, 47B80, 47B39,
, Laws of the iterated logarithm for the local times of recurrent ran- dom walks on Z 2 and of Levy processes and recurrent random walks in the domain of attraction of Cauchy
We determine exactly when a certain randomly weighted self–normalized sum converges in distribution, partially verifying a 1965 conjecture of Leo Breiman, and then apply our results
Yor : An Analogue of Pitman’s 2M − X Theorem for Exponential Wiener Functionals, Part II: The Role of the Generalized Inverse Gaussian laws, Nagoya Math. Yor : Some changes
A vacant site gets colonized by a particle of type 1 with exponential rate equal to the number of nearest neighbors of type 1.. The sites that are either vacant or occupied by type
In this article we consider the sample covariance matrix formed from a sequence of indepen- dent and identically distributed random vectors from the generalized domain of attraction
We define the ERW on a tree G as the process which goes toward the root with probability 1 − ε when it visits a vertex v for the first time and goes to every neighbor of v with
