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7 papers · 2 filters
Density estimates and concentration inequalities with Malliavin calculus
Ivan Nourdin, Frederi G. Viens
We show how to use the Malliavin calculus to obtain density estimates of the law of general centered random variables. In particular, under a non-degeneracy condition, we prove and…
Convergence of Point Processes with Weakly Dependent Points
Raluca Balan, Sana Louhichi
For each , let be a sequence of strictly stationary random variables. In this article, we give some asymptotic weak dependence conditions…
A note on the enumeration of directed animals via gas considerations
Marie Albenque
In the literature, most of the results about the enumeration of directed animals on lattices via gas considerations are obtained by a formal passage to the limit of enumeration of…
Growth rate for the expected value of a generalized random Fibonacci sequence
Elise Janvresse, Benoît Rittaud, Thierry De La Rue
A random Fibonacci sequence is defined by the relation g_n = | g_{n-1} +/- g_{n-2} |, where the +/- sign is chosen by tossing a balanced coin for each n. We generalize these sequen…
Surface tension in the dilute Ising model. The Wulff construction
Marc Wouts
We study the surface tension and the phenomenon of phase coexistence for the Ising model on $\mathbbm{Z}^d$ () with ferromagnetic but random couplings. We prove the…
Copolymers at selective interfaces: new bounds on the phase diagram
T. Bodineau, G. Giacomin, H. Lacoin +1
We investigate the phase diagram of disordered copolymers at the interface between two selective solvents, and in particular its weak-coupling behavior, encoded in the slope …