292 citations
- Consejo Nacional de Investigaciones Científicas y TécnicasAR24 papers
- Universidad de Buenos AiresAR12 papers
- Fundación Ciencias Exactas y NaturalesAR6 papers
- Federico Santa María Technical UniversityCL3 papers
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- Adam Mickiewicz University in PoznańPL2 papers
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4 papers · 1 filter
Salem sets with no arithmetic progressions
Pablo Shmerkin
We construct Salem sets in of any dimension (including ) which do not contain any arithmetic progressions of length . Moreover, the sets can be taken…
dimensions and projections of random measures
Daniel Galicer, Santiago Saglietti, Pablo Shmerkin +1
We prove preservation of dimensions (for ) under all orthogonal projections for a class of random measures on the plane, which includes (deterministic) homogeneous…
Absolute continuity of complex Bernoulli convolutions
Pablo Shmerkin, Boris Solomyak
We prove that complex Bernoulli convolutions are absolutely continuous in the supercritical parameter region, outside of an exceptional set of parameters of zero Hausdorff dimensio…
Causal Etiology of the Research of James M. Robins
Thomas S. Richardson, Andrea Rotnitzky
This issue of Statistical Science draws its inspiration from the work of James M. Robins. Jon Wellner, the Editor at the time, asked the two of us to edit a special issue that woul…