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Definition 13.1.. An analytical construction of the corresponding generalized Fock space, within an extension of Hida theory of white noise calculus to the negative binomial
, 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
A classical result in the theory of continuous-time stationary Gaussian processes gives sufficient conditions for the equivalence of the laws of two centered processes with
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
In the dependent case, the limit N may not be a Poisson process, but belongs to the class of infinitely divisible point processes (under generally weak assumptions).. This
Some classes of multivariate in- finitely divisible distributions admitting stochastic integral representations.. A connection between free and classical
Mean convergence theorems and weak laws of large numbers for double arrays of random variables. Inequalities with applications to the weak convergence of random pro- cesses
It is expected that this model displays so-called self-organised critical behaviour as the lightning rate λ goes to zero.. If we start from any configuration with infinitely many
