Results 111 to 120 of about 64,955 (216)
On the finite generation of ideals in tensor triangular geometry
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley +1 more source
Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
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On the exceptional set in Littlewood's discrete conjecture
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
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A note on equivalent interval covering systems for Hausdorff dimension on ℝ
International Journal of Mathematics and Mathematical Sciences, 1988 The Hausdorff dimension of a set in ℝ is usually defined by considering countable coverings of the set by general intervals. In this note we establish sufficient conditions under which coverings whose members are restricted to a particular family g of ...
C. D. Cutler
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Fourier analytic properties of Kakeya sets in finite fields
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove that a Kakeya set in a vector space over a finite field of size q$q$ always supports a probability measure, whose Fourier transform is bounded by q−1$q^{-1}$ for all non‐zero frequencies. We show that this bound is sharp in all dimensions at least 2.
Jonathan M. Fraser
wiley +1 more source
On cohomology of locally profinite sets
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
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Correction: Biś, A., et al. Hausdorff Dimension and Topological Entropies of a Solenoid. Entropy 2020, 22, 506. [PDF]
Entropy (Basel), 2020 Biś A, Namiecińska A.
europepmc +1 more source
Complex continued fractions with restricted entries
Electronic Journal of Differential Equations, 1998 We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by $h$. Our primary goal is to
Pawel Hanus, Mariusz Urbanski
doaj
On typical Markov operators acting on Borel measures
Abstract and Applied Analysis, 2005 It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero.
Tomasz Szarek
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Sparse potentials with fractional Hausdorff dimension
Journal of Functional Analysis, 2004 We construct non-random bounded discrete half-line Schr\" odinger operators which have purely singular continuous spectral measures with fractional Hausdorff dimension (in some interval of energies). To do this we use suitable sparse potentials. Our results also apply to whole line operators, as well as to certain random operators.
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