Fractal Dimensions and Random Transformations
type: Item
instance of: scholarly article
title: Fractal Dimensions and Random Transformations
zbMATH Open document ID: 0874.28009
DOI: 10.1090/S0002-9947-96-01608-X
published in: Transactions of the American Mathematical Society
publication date: 1997-11-11T00:00:00Z
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 60D05
zbMATH DE Number: 914954
zbMATH Keywords: random expanding transformations
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: random sets
zbMATH Keywords: Bowen-Ruelle formula
zbMATH Keywords: repellers
author: Yuri Kifer
MaRDI profile type: Publication
cites work: Strong laws for 𝐿- and 𝑢-statistics
cites work: On Weierstrass-like functions and random recurrent sets
cites work: On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
cites work: Hausdorff dimension in probability theory. I, II
cites work: Q5576642
cites work: Q5288483
cites work: Q3316247
cites work: Billingsley dimension in probability spaces
cites work: Q3134548
cites work: THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES
cites work: Q3995301
cites work: Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
cites work: Large Deviations in Dynamical Systems and Stochastic Processes
cites work: Q5288793
cites work: Q4867126
cites work: Intersecting random translates of invariant Cantor sets
cites work: Measures of full dimension on affine-invariant sets
cites work: Matching theory
cites work: A Relativised Variational Principle for Continuous Transformations
cites work: The Hausdorff dimension of general Sierpiński carpets
cites work: Inequalities: theory of majorization and its applications
cites work: Q4301606
cites work: On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
cites work: Calculs de dimensions de Hausdorff
cites work: Limit theorems for lacunary series and uniform distribution mod 1
cites work: On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture
cites work: Singular measures and Hausdorff measures
cites work: The Existence of Probability Measures with Given Marginals
cites work: Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
cites work: Dimension, entropy and Lyapunov exponents
description: scientific article; zbMATH DE number 914954