Results 81 to 90 of about 6,838,637 (208)
Computer science and the fine structure of Borel sets
Theoretical Computer Science, 2001 J. Duparc, Olivier Finkel, J. Ressayre
semanticscholar +1 more source
Decay of correlations and limit theorems for random intermittent maps
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.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
, 2011 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 $G_{\delta ...
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On Elliott's conjecture and applications
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract Let f:N→D$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
Generalizing classical descriptive set theory opens foundational questions about the Borel hierarchy. In this paper we systematically study those questions, working in the general framework of Polish-like spaces relative to an uncountable cardinal $κ$, possibly singular, satisfying $2^{<κ}=κ$.
Agostini, Claudio +3 more
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Interpolation categories for conformal embeddings
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
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Nonamenable subforests of multi‐ended quasi‐pmp graphs
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We prove the a.e. nonamenability of locally finite quasi‐pmp Borel graphs whose every component admits at least three nonvanishing ends with respect to the underlying Radon–Nikodym cocycle. We witness their nonamenability by constructing Borel subforests with at least three nonvanishing ends per component, and then applying Tserunyan and ...
Ruiyuan Chen +2 more
wiley +1 more source
Maximal Dissipation and Well-Posedness of the Euler System of Gas Dynamics. [PDF]
Arch Ration Mech AnalFeireisl E +2 more
europepmc +1 more source