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A combinatorial proof of a sumset conjecture of Furstenberg

Florian Karl Richter

We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if

\log r / \log s

is irrational and

X

and

Y

are

\times r

- and

\times s

-invariant subsets of

[0,1]

, respectively, then $\dim_\text{ ...

2021

Espace localement compact

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Chattez avec Graph Search

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

A combinatorial proof of a sumset conjecture of Furstenberg

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Invariant Integrals on Topological Groups and Applications

Experimental Evaluation of Steel Columns under Seismic Hazard-Consistent Collapse Loading Protocols

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

On Linear Optimization over Wasserstein Balls

Smaller, Faster & Lighter KNN Graph Constructions

GPU-accelerated numerical analysis of jet interference in a six-jet Pelton turbine using Finite Volume Particle Method

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

On Linear Optimization over Wasserstein Balls

Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds

Smaller, Faster & Lighter KNN Graph Constructions

GPU-accelerated numerical analysis of jet interference in a six-jet Pelton turbine using Finite Volume Particle Method

Experimental Evaluation of Steel Columns under Seismic Hazard-Consistent Collapse Loading Protocols

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

A combinatorial proof of a sumset conjecture of Furstenberg

Invariant Integrals on Topological Groups and Applications

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model