A classical theorem (Marstrand 1954) asserts that, given any Borel subset , the obvious inequality of the Hausdorff dimensions: is in fact an equality for almost all orthogonal projections . As is often the case it is usually very dificult to prove equality for a given projection. Preliminary description: Michael HOCHMAN and Pablo SCHMERKIN have [...]
Posts Tagged ‘Hausdorff dimension’
Lower bounds for Hausdorff dimension
Posted in Dynamics, news, papers, tagged Dynamics, entropy, ergodic theory, Hausdorff dimension on October 13, 2009 | Leave a Comment »
