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Florian Karl Richter

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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

Florian Karl Richter

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Additive and geometric transversality of fractal sets in the integers

A combinatorial proof of a sumset conjecture of Furstenberg

Additive and geometric transversality of fractal sets in the integers

Additive and geometric transversality of fractal sets in the integers

A combinatorial proof of a sumset conjecture of Furstenberg

Additive and geometric transversality of fractal sets in the integers