Titlebook: Recent Developments in Fractals and Related Fields; Conference on Fracta Julien Barral,Stéphane Seuret Conference proceedings 2017 Springer

Maximizer

Some Problems on the Boundary of Fractal Geometry and Additive Combinatorics,wth of entropy of convolutions. We explain the main result on ., and derive, via a linearization argument, an analogous result for the action of the affine group on .. We also develop versions of the results for entropy dimension and Hausdorff dimension. The method is applied to two problems on the

的染料

Myocarditis

小卷發(fā)

vasculitis

A Survey on the Dimension Theory in Dynamical Diophantine Approximation,cuses on the size of dynamically defined limsup sets in the sense of measure and dimension. This quantitative study is motivated by the qualitative nature?of the density of the orbits and the connections with the classic Diophantine approximation. In this survey, we collect some recent progress on t

欲望

LIMIT

Multifractal Properties of Convex Hulls of Typical Continuous Functions,a dense .. subset . such that for . the following properties are satisfied. For . = 1,?2 the functions .. and . coincide only on a set of zero Hausdorff dimension, the functions .. are continuously differentiable on (0,?1)., . equals the boundary of [0,?1]., ., . and . if . ∈ (0,?+.).{1}.

commensurate

Small Union with Large Set of Centers,ton (0 ≤ . < .) of an .-dimensional cube centered at the origin or the .-skeleton of a more general polytope of .. We also study the case when we allow not only scaled copies but also scaled and rotated copies and also the case when we allow only rotated copies.