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

exophthalmos

Resign

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綁架

Disk199

(S)PDE on Fractals and Gaussian Noise,lds . (.,?.) like fractional Brownian sheets with Hurst exponents . in time and . in space on general Ahlfors regular compact metric measure spaces . possess a modification whose sample paths are elements of ..([0,?..],?..(.)) for all . < . and . < .. This is used in the above special case of SPDE on fractals.

Keratectomy

ANIM

The Two-Dimensional Density of Bernoulli Convolutions,ich has an intricate combinatorial structure. Visualizing this structure we discuss results of Erd?s, Jóo, Komornik, Sidorov, de Vries, Jordan, Shmerkin and Solomyak, Feng and Wang. We emphasize the role of finite orbits of associated multivalued maps and mention a few new properties and examples.

SLAY

Multifractal Properties of Convex Hulls of Typical Continuous Functions,he set of points at which . has a pointwise H?lder exponent equal to .. Let .. be the convex hull of the graph of ., the concave function on the top of .. is denoted by ..(.) = max{.:?(.,?.) ∈ ..} and ..(.) = min{.:?(.,?.) ∈ ..} denotes the convex function on the bottom of ... We show that there is

繁殖

Fourier Bases and Fourier Frames on Self-Affine Measures, the new matrix analysis approach for checking the completeness of a mutually orthogonal set. This method helps us settle down a long-standing conjecture that Hadamard triples generate self-affine spectral measures. It also gives us non-trivial examples of fractal measures with Fourier frames. Furth

公司

Self-Similar Sets: Projections, Sections and Percolation,milar sets. In particular we highlight conditions when the dimension of the projections takes the generic value for all, or very nearly all, projections. We then describe a method for deriving dimensional properties of sections of . self-similar sets by utilising projection properties of . percolati