Shmerkin, Pablo

1. Projections, Furstenberg sets, and the ABC sum-product problem
   2023/01/24 by Tuomas Orponen, Orponen, Tuomas, Shmerkin, Pablo · 10 citations
   Mathematics · Computer Science · #Mathematical Approximation and Integration #Mathematical Analysis and Transform Methods #Advanced Mathematical Modeling in Engineering
2. Spatially independent martingales, intersections, and applications
   2014/09/23 by Shmerkin, Pablo, Suomala, Ville · 3 citations
   #28A80 #42A38 #42A61 #60D05 #60G46 #60G57 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG) #Primary: 28A75 #Probability (math.PR) #Secondary: 28A78
3. Patterns in Random Fractals
   2017/03/28 by Shmerkin, Pablo, Suomala, Ville · 2 citations
   #28A75 #28A78 #28A80 #60C05 #60D05 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Primary:05D40 #Probability (math.PR) #Secondary: 05C55
4. Improved bounds for the dimensions of planar distance sets
   2018/11/08 by Shmerkin, Pablo · 2 citations
   #28A80 #49Q15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary: 28A75 #Secondary: 26A16
5. Projections of self-similar and related fractals: a survey of recent developments
   2015/01/05 by Pablo Shmerkin, Shmerkin, Pablo · 1 citation
   Mathematics · Physics and Astronomy · #28A80 #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Primary: 28A78 #Secondary: 37A99 #advanced mathematical theories
6. A class of random Cantor measures, with applications
   2016/03/27 by Shmerkin, Pablo, Suomala, Ville · 1 citation
   #28A75 #28A78 #42A38 #42A61 #60D05 #60G46 #60G57 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary: 28A80 #Probability (math.PR) #Secondary: 11B25
7. On measures that improve L^q dimension under convolution
   2018/12/13 by Rossi, Eino, Shmerkin, Pablo · 1 citation
   #28A80 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
8. On the distance sets spanned by sets of dimension d/2 in ℝ^d
   2021/12/16 by Shmerkin, Pablo, Wang, Hong · 1 citation
   #28A80 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Primary: 28A78