Results 71 to 80 of about 1,839,360 (254)
Entire functions with Cantor bouquet Julia sets
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract A hyperbolic transcendental entire function with connected Fatou set is said to be of disjoint type. It is known that the Julia set of a disjoint‐type function of finite order is a Cantor bouquet; in particular, it is a collection of arcs (‘hairs'), each connecting a finite endpoint to infinity.
Leticia Pardo‐Simón, Lasse Rempe
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Concerning Upper Semicontinuous Decompositions of Irreducible Continua [PDF]
Proceedings of the American Mathematical Society, 1971 Let K \mathcal {K} denote the class of all compact metric continua K such that there exists a monotone mapping from a compact metric irreducible continuum M onto an arc such that each point inverse is homeomorphic to K. It is shown that no connected 1-polyhedron other than an arc is an element of K
B. Fitzpatrick +2 more
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Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
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Cone Lattices of Upper Semicontinuous Functions [PDF]
Proceedings of the American Mathematical Society, 1982 Let X X be a compact metric space. A well-known theorem of M. H. Stone states that if Ω \Omega is a vector lattice of continuous functions on X X that separates points and contains a nonzero constant function, then the uniform closure of Ω \Omega is C ...
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Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
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Second‐order regularity for degenerate p$p$‐Laplace type equations with log‐concave weights
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We consider weighted p$p$‐Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log‐concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second‐order estimates. For unbounded domains, we prove local estimates at the boundary.
Carlo Alberto Antonini +2 more
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On some properties of the space of upper semicontinuous functions [PDF]
Acta Mathematica Hungarica, 2019 For a Tychonoff space $X$, we will denote by $USC_{p}(X)$ ($B_1(X)$) a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X$ endowed with the pointwise convergence topology. In this paper we describe a class of Tychonoff spaces $X$ for which the space $USC_{p}(X)$ is sequentially separable ...
Alexander V. Osipov +2 more
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Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
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Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
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Characterization of upper semicontinuously integrable functions [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1995 AbstractWe show that for a Henstock-Kurzweil integrable functionffor every ∈ > 0 one can choose an upper semicontinuous gage function δ, used in the definition of the HK-integral if and only if |f| is bounded by a Baire 1 function. This answers a question raised by C. E. Weil.
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