Displaying similar documents to “Sequences with small discrepancy relative to n events”

Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

Maria Pliś (1995)

Studia Mathematica

Similarity:

The theory of Mellin analytic functionals with unbounded carrier is developed. The generalized Mellin transform for such functionals is defined and applied to solve the Laplace-Beltrami type singular equations on a hyperbolic space. Then the asymptotic expansion of solutions is found.

Logarithmic density of a sequence of integers and density of its ratio set

Ladislav Mišík, János T. Tóth (2003)

Journal de théorie des nombres de Bordeaux

Similarity:

In the paper sufficient conditions for the ( R ) -density of a set of positive integers in terms of logarithmic densities are given. They differ substantially from those derived previously in terms of asymptotic densities.

Large deviations for partition functions of directed polymers in an IID field

Iddo Ben-Ari (2009)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

Consider the partition function of a directed polymer in ℤ, ≥1, in an IID field. We assume that both tails of the negative and the positive part of the field are at least as light as exponential. It is well known that the free energy of the polymer is equal to a deterministic constant for almost every realization of the field and that the upper tail of the large deviations is exponential. The lower tail of the large deviations is typically lighter than exponential. In this paper we obtain...