On the reduction of a random basis

By using now this result, Lemma 15 and the Markov property of the random walk and of Brownian motion, we deduce the following:..

Récemment, Enriquez, Sabot et Zindy (cf. [17]) ont donné une nouvelle preuve de ce théorème dans le cas où 0 < κ < 1 par une tout autre méthode, basée sur l’étude fine

Our investigation treats the average number of transversals of fixed size, the size of a random transversal as well as the probability that a random subset of the vertex set of a

We say that a specific pattern M occurs in a tree T if M occurs in T as an induced subtree in the sense that the node degrees for the internal (filled) nodes in the pattern match

Nachr. Mertens, Ueber einige asymptotische Gesetze der Zahlentheorie, J. Montgomery, Fluctuations in the mean of Euler’s phi function, Proc. Titchmarsh, The theory of the

A fragmentation occurs in the random permutation when a transposition occurs between two integers in the same σ-cycle, so tree components in the random graph correspond to cycles in

Keywords : Random walk in random scenery; Weak limit theorem; Law of the iterated logarithm; Brownian motion in Brownian Scenery; Strong approxima- tion.. AMS Subject Classification

Our results are compatible with dimensional reduction being restored in five dimensions: We find that the critical exponents of the 5D RFIM are compatible to those of the pure 3D