60 years of dynamics and number expansions
timetable:
Thu 13 Dec, 10:45 - 11:30, Aula Dini
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On the Hausdorff dimension of Bernoulli convolutions
speaker: Tom Kempton (The University of Manchester)abstract: Bernoulli convolutions are a simple family of self-similar measures with overlaps. The problem of determining which parameters give rise to Bernoulli convolutions of dimension one has been studied since the 1930s, and is still far from being completely solved. For algebraic parameters, we show how to give an expression for the dimension of the Bernoulli convolution in terms of products of matrices. This allows us to conclude that the Bernoulli convolution has dimension one in many examples where the dimension was previously unknown. This is joint work with Shigeki Akiyama, De-Jun Feng and Tomas Persson.
timetable:
Thu 13 Dec, 10:45 - 11:30, Aula Dini
<< Go back