21 citations · 43 across the 29 of their papers we have counts for
5 papers · 1 filter
Embedding theorems for discrete dynamical systems and topological flows
Ruxi Shi
In this paper, we investigate the embeddings for topological flows. We prove an embedding theorem for discrete topological system. Our results apply to suspension flows via constan…
On the multifractal spectrum of weighted Birkhoff averages
Balázs Bárány, Michał Rams, Ruxi Shi
In this paper, we study the topological spectrum of weighted Birkhoff averages over aperiodic and irreducible subshifts of finite type. We show that for a uniformly continuous fami…
On -adic spectral measures
Ruxi Shi
A Borel probability measure on a locally compact group is called a spectral measure if there exists a subset of continuous group characters which forms an orthogonal basis of t…
A counter-example for polynomial version of Sarnak's conjecture
Zhengxing Lian, Ruxi Shi
We construct the counter-example for polynomial version of Sarnak's conjecture for minimal systems, which assets that the Möbius function is linearly disjoint from subsequences alo…
On dimensions of frame spectral measures and their frame spectra
Ruxi Shi
In this paper, we prove that the entropy dimension of a frame spectral measure is superior than or equal to the Beurling dimension of its frame spectrum.