Results 71 to 80 of about 193,737 (236)
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
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
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
The aim of this thesis is to highlight the role of semigroup theory in mathematical finance and to provide a class of useful methods. Apart from this special task, several new results concerning invariant subsets of strongly continuous semigroups and ...
Einemann, Michael
core +1 more source
An Integrability Condition on the Resolvent for Hyperbolicity of the Semigroup [PDF]
In this paper, we present necessary and sufficient conditions on the resolvent of the generator of a strongly continuous semigroup in order that the corresponding semigroup is hyperbolic.
Lunel, S.M.V. +2 more
core +1 more source
Asynchronous exponential growth of a bacterial population
In this work, we complete a study started earlier in [1,2] wherein a model of growing bacterial population has been the matter of a mathematical analysis. We show that the full model is governed by a strongly continuous semigroup.
Mohamed Boulanouar
doaj
Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
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
Direct integrals of strongly continuous operator semigroups [PDF]
The goal of this article is to develop a theory for direct integrals of $C_0$-semigroups on Hilbert spaces parallel to the recent approach by Lachowicz and Moszyński for direct sums of Banach spaces, diagonal operators, and semigroups. In it we deal with the existence and characterisation of semigroups, asymptotic rates, and questions of ...
openaire +2 more sources
Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
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
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
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
wiley +1 more source
The semigroup associated with nonlinear age dependent population dynamics
The solutions of the equations of nonlinear age dependent population dynamics may be associated with a strongly continuous semigroup of nonlinear operators in the Banach space L1(0, ∞; Rn).
G.F. WEBB, Webb, G.F.
core +1 more source

