Results 141 to 150 of about 4,936,635 (261)
An omega-Power of a Finitary Language Which is a Borel Set of Infinite Rank [PDF]
International audienceOmega-powers of finitary languages are omega languages in the form V^omega, where V is a finitary language over a finite alphabet X. Since the set of infinite words over X can be equipped with the usual Cantor topology, the question
Finkel, Olivier
core
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
On the decomposition of sets of reals to borel sets
Levy, A., Solovay, R.M.
openaire +2 more sources
Uniformization of cofat domains on metric two‐spheres
Abstract We extend Schramm's cofat uniformization theorem to cofat domains on upper Ahlfors 2‐regular metric two‐spheres X$X$. Specifically, we show that if Ω⊂X$\Omega \subset X$ is a cofat domain, then there exists a π2$\frac{\pi }{2}$‐quasiconformal homeomorphism f:Ω→D$f: \Omega \rightarrow D$ onto a circle domain D⊂S2$D \subset \mathbb {S}^2 ...
Chengxi Li, Kai Rajala
wiley +1 more source
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
Equivariant spaces of matrices of constant corank one
Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi +2 more
wiley +1 more source
Decay of correlations and limit theorems for random intermittent maps
Abstract In this paper, we revisit the problem of polynomial memory loss and the central limit theorem (CLT) for time‐dependent LSV maps. More precisely, we show that for random LSV maps corresponding to a random parameter β(·)$\beta (\cdot)$ we obtain quenched memory loss, decay of correlations, CLTs with rates, moment bounds, and almost sure ...
Davor Dragičević +2 more
wiley +1 more source
$\sigma$-homogeneity of Borel sets
We give an affirmative answer to the following question: Is any Borel subset of a Cantor set $\textbf{ C}$ a sum of a countable number of pairwise disjoint $h$-homogeneous subspaces that are closed in $X$? It follows that every Borel set $X \subset \textbf{ R}^n$ can be partitioned into countably many $h$-homogeneous subspaces that are $G_{\delta ...
openaire +2 more sources
On Elliott's conjecture and applications
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
wiley +1 more source

