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Every integer has a smallest multiple which is a sum of two cubes and such that the multiple, in the form of an iterated composite function of the integer, is eventually periodic
Dehesa Entropy of orthogonal polynomi- als with Freud weights and information entropies of the harmonic oscillator potential, J. Dehesa Position and momentum information entropies
This example exhibits a surprisingly fast convergence of the spectral gap of τ to zero as a function of the number of zeros that are added to the spectrum..
corresponding to π (viz. We note that Step 1 is essentially solving the assignment problem for which solution methods may be found in many standard texts, e.g. The resulting matrix
(ii) the p -th mean exponential convergence of the solution to zero (for all p > 0), and (iii) the exponential integrability of the entries of the kernel K , the exponential
Then, we give sufficient conditions for a σ-finite measure to be invariant for this conditional process with any realization of the given Brownian motion.. In Section 4, we show
We consider the optimal mass transportation problem in R d with measurably parameterized marginals under conditions ensuring the existence of a unique optimal transport map.. We prove
The main purpose of this paper is to derive convergence rates in the central limit theorems (or Berry-Esseen bounds) for the number of maxima in samples chosen uniformly at random
