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Finally using class field theory and [2], we determine the ramification groups of G p ( K ) (we distinguish the case when K is unramified from the case when K is totally ramified,
Hence, we can define the marked Gromov-weak topology based on weak convergence of marked distance matrix distributions, which turns ▼ I into a Polish space (Theorem
Key words: Long memory (Long range dependence), Fractional Brownian motion, Fractional Ornstein-Uhlenbeck process, Exponential process, Burkholder-Davis-Gundy inequalities..
So in this work we study BSDEs with two reflecting barriers driven by a Brownian motion and an independent Poisson measure.. This is the natural extension of Hamad`ene &
Although the exact convergence rate remains unknown for Wigner matrices, Bai and Yao [ 6 ] proved that the spectral empirical process of Wigner matrices indexed by a set of
Abstract : We study the weak convergence for the row sums of a general triangular array of empirical processes indexed by a manageable class of functions converging to an
In this section we use the large deviation results for the discrete time Markov chain con- sidered in Sections 3, 4 and 5 to obtain the empirical measure LDP for two very
Under the hypothesis of convergence in probability of a sequence of c` adl` ag processes ( X n )n to a c`adl`ag process X , we are interested in the convergence of corresponding