Displaying similar documents to “High-resolution quantization and entropy coding for fractional Brownian motion.”

On hypoellipticity in 𝒢 .

Nedeljkov, M., Pilipović, S. (2002)

Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques


On hypoellipticity in g

M. Nedeljkov, S. Pilipović (2002)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques


On the Newcomb-Benford law in models of statistical data.

Tomás Hobza, Igor Vajda (2001)

Revista Matemática Complutense


We consider positive real valued random data X with the decadic representation X = Σ D 10 and the first significant digit D = D(X) in {1,2,...,9} of X defined by the condition D = D ≥ 1, D = D = ... = 0. The data X are said to satisfy the Newcomb-Benford law if P{D=d} = log(d+1 / d) for all d in {1,2,...,9}. This law holds for example for the data with logX uniformly distributed on an interval (m,n) where m and n are integers. We show that if logX has a distribution...

Power-free values, large deviations, and integer points on irrational curves

Harald A. Helfgott (2007)

Journal de Théorie des Nombres de Bordeaux


Let f [ x ] be a polynomial of degree d 3 without roots of multiplicity d or ( d - 1 ) . Erdős conjectured that, if f satisfies the necessary local conditions, then f ( p ) is free of ( d - 1 ) th powers for infinitely many primes p . This is proved here for all f with sufficiently high entropy. The proof serves to demonstrate two innovations: a strong repulsion principle for integer points on curves of positive genus, and a number-theoretical analogue of Sanov’s theorem from the theory of large deviations. ...