A Survey on the Fourier Dimension

2017 ◽  
pp. 67-87
Author(s):  
Fredrik Ekström ◽  
Jörg Schmeling
Keyword(s):  
Fourier Dimension

Hausdorff and Fourier dimension

2011 ◽  
Vol 206 (1) ◽  
pp. 37-50 ◽  
Author(s):  
Thomas William Körner
Keyword(s):  
Fourier Dimension

scholarly journals The Fourier Dimension is Not Finitely Stable

2015 ◽  
Vol 40 (2) ◽  
pp. 397 ◽  
Author(s):  
Fredrik Ekström
Keyword(s):  
Fourier Dimension

scholarly journals On the Fourier dimension and a modification

2015 ◽  
Vol 2 (3) ◽  
pp. 309-337 ◽  
Author(s):  
Fredrik Ekström ◽  
Tomas Persson ◽  
Jörg Schmeling
Keyword(s):  
Fourier Dimension

scholarly journals Fourier dimension of random images

2016 ◽  
Vol 54 (2) ◽  
pp. 455-471 ◽  
Author(s):  
Fredrik Ekström
Keyword(s):  
Fourier Dimension

scholarly journals Fourier dimension and spectral gaps for hyperbolic surfaces

2017 ◽  
Vol 27 (4) ◽  
pp. 744-771 ◽  
Author(s):  
Jean Bourgain ◽  
Semyon Dyatlov
Keyword(s):  
Spectral Gaps ◽  
Hyperbolic Surfaces ◽  
Fourier Dimension

Exceptional sets for self-affine fractals

2008 ◽  
Vol 145 (3) ◽  
pp. 669-684 ◽  
Author(s):  
KENNETH FALCONER ◽  
JUN MIAO
Keyword(s):  
Hausdorff Dimension ◽  
Value Function ◽  
Singular Value ◽  
Exceptional Sets ◽  
Fourier Dimension ◽  
Almost All

AbstractUnder certain conditions the ‘singular value function’ formula gives the Hausdorff dimension of self-affine fractals for almost all parameters in a family. We show that the size of the set of exceptional parameters is small both in the sense of Hausdorff dimension and Fourier dimension.

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