Absolutely continuous limit distributions of sums of point measures

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Table of contents

I Introduction and summary 
1 Introduction
1.1 Viana maps
1.2 Transversality implies absolute continuity
1.3 Absolutely continuous limit distributions of sums of point measures
2 Summary
2.1 Overview of Paper A – Non-continuous weakly expanding skew-products of quadratic maps with two positive Lyapunov exponents
2.2 Overview of Paper B – Positive Lyapunov exponents for quadratic skew-products over a Misiurewicz-Thurston map
2.3 Overview of Paper C – Almost sure absolute continuity of Bernoulli convolutions
2.4 Overview of Paper D – Typical points for one-parameter families of piecewise expanding maps of the interval
2.5 Overview of Paper E – Almost sure equidistribution in expansive families
Bibliography
II Scientific Papers 
Paper A
Non-continuous weakly expanding skew-products of quadratic maps with two positive Lyapunov exponents
Ergodic Theory Dynam. Systems 28 (2008), no. 1, 245–266.
Paper B
Positive Lyapunov exponents for quadratic skew-products over a Misiurewicz-Thurston map
Nonlinearity 22 (2009), 2681–2695.
Paper C
Almost sure absolute continuity of Bernoulli convolutions (joint with M. Björklund)
Ann. Inst. H. Poincaré Probab. Statist., to appear.
Paper D
Typical points for one-parameter families of piecewise expanding maps of the interval
Paper E
Almost sure equidistribution in expansive families (joint with M. Björklund)
Indag. Math., to appear.