32 citations · 208 across the 38 of their papers we have counts for
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Additive and geometric transversality of fractal sets in the integers
Daniel Glasscock, Joel Moreira, Florian K. Richter
By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expans…
Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications
Vitaly Bergelson, Joel Moreira, Florian K. Richter
We obtain new results pertaining to convergence and recurrence of multiple ergodic averages along functions from a Hardy field. Among other things, we confirm some of the conjectur…
Uniform distribution in nilmanifolds along functions from a Hardy field
Florian K. Richter
We study equidistribution properties of translations on nilmanifolds along functions of polynomial growth from a Hardy field. More precisely, if is a nilmanifold, $a_1,\ldo…
Structure of multicorrelation sequences with integer part polynomial iterates along primes
Andreas Koutsogiannis, Anh N. Le, Joel Moreira +1
Let be a measure preserving -action on the probability space vector polynomials, and $f_0,…
Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions
Vitaly Bergelson, Florian K. Richter
We establish two ergodic theorems which have among their corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of…
A new elementary proof of the Prime Number Theorem
Florian K. Richter
Let denote the number of prime factors of . We show that for any bounded one has \[ \frac{1}{N}\sum_{n=1}^N\, f(Ω(n)+1)=\frac{1}{N}\sum_{…
A decomposition of multicorrelation sequences for commuting transformations along primes
Anh N. Le, Joel Moreira, Florian K. Richter
We study multicorrelation sequences arising from systems with commuting transformations. Our main result is a refinement of a decomposition result of Frantzikinakis and it states t…