Results 41 to 50 of about 215 (160)
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
Stability of Blaschke products under forward iteration
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Forward iteration of holomorphic self‐maps generalizes the iteration of a single function in a natural way. This framework arises in complex dynamics, for instance, in the study of wandering domains and in seeking suitable extensions of the Denjoy–Wolff theorem. Here, we consider forward iteration of Blaschke products.
Daniela Kraus +2 more
wiley +1 more source
On strongly continuous ρh-semigroup
Journal of Physics: Conference Series, 2019 Abstract In this paper, we introduce a semi group which it constructs the solution of the partial differential equation as the form: ρ
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Embedding operators into strongly continuous semigroups [PDF]
Archiv der Mathematik, 2009 We study linear operators $T$ on Banach spaces for which there exists a $C_0$-semigroup $(T(t))_{t\geq 0}$ such that $T=T(1)$. We present a necessary condition in terms of the spectral value 0 and give classes of examples where this can or cannot be achieved.
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Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley +1 more source
Total Positivity: an application to positive linear operators and to their limiting semigroups
Journal of Numerical Analysis and Approximation Theory, 2007 Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8].
Antonio Attalienti, Ioan Raşa
doaj +2 more sources
Shift-invariant measures on infinite-dimensional spaces: Integrable functions and random walks
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 Averaging of random shift operators on a space of the square integrable by shift-invariant measure complex-valued functions on linear topological spaces has been studied. The case of the l∞ space has been considered as an example.
V.Zh. Sakbaev, D.V. Zavadsky
doaj
Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
wiley +1 more source
The Growth Bound for Strongly Continuous Semigroups on Fréchet Spaces [PDF]
Proceedings of the Edinburgh Mathematical Society, 2015 AbstractWe introduce the concepts of growth and spectral bound for strongly continuous semigroups acting on Fréchet spaces and show that the Banach space inequality s(A) ⩽ ω0(T) extends to the new setting. Via a concrete example of an even uniformly continuous semigroup, we illustrate that for Fréchet spaces effects with respect to these bounds may ...
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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