rittaud11. 440KB Jun 04 2011 12:09:27 AM
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We prove that one characterization for the classical orthogonal polynomials sequences (Hermite, Laguerre, Jacobi and Bessel) cannot be extended to the semi-classical ones..
Recall the standard “walk-around” bijection from full binary trees on 2 n edges to Dyck n -paths: a worm crawls counterclockwise around the tree starting just west of the root and
From this figure it is clear that the counter-propagation network is composed of three layers: an input layer that reads input patterns from the training set and forwards them to
It has been shown that certain types of random walks in random potentials and Brownian motion in Poissonian potentials undergo a phase transition from sub-ballistic to ballistic
General non-colliding random walks in the strict sense seem to represent an exciting and open research topic that may be inspired from other topics than processes of random matrices
If a random walk characterized by conductances is started at the root of a tree, it is well known [3] that the escape probability equals the ratio of the effective conductance of
We emphasise that the scaling limit of the kinetic prudent walk seems to be different from the scaling limit of the uniform prudent walk studied in Combinatorics... The inset is
To prove this theorem we extend the bounds proved in [ 2 ] for the continuous time simple random walk on (Γ , µ ) to the slightly more general random walks X and Y defined
