Ergodic, Algebraic and Combinatorial Methods in Dimension Theory
(February 15-19, 2016)
There are natural interactions between dimension theory, ergodic theory, additive combinatorics, metric number theory and analysis. Each of these fields provides different perspectives on, and complementary approaches to, the hierarchical structures which appear in fractal geometry.
The workshop will focus on recent advances at the interfaces of these fields, including:
- Classical fractals (self-similar and self-affine sets, random fractals).
- Dimension theory and additive combinatorics.
- Diophantine approximation and equidistribution.
- Schmidt games.
- Rigidity phenomena.
- Scenery flow methods.
- Projection and slice theorems.
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