Results 61 to 70 of about 33,078 (239)

Evaluating Allocations of Opportunities

open access: yesInternational Economic Review, EarlyView.
ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli   +3 more
wiley   +1 more source

Tensor Changepoint Detection and Eigenbootstrap

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT Tensor data consisting of multivariate outcomes over the items and across the subjects with longitudinal and cross‐sectional dependence are considered. A completely distribution‐free and tweaking‐parameter‐free detection procedure for changepoints at different locations is designed, which does not require training data.
Michal Pešta   +2 more
wiley   +1 more source

On $p$-Brunn-Minkowski inequalities for intrinsic volumes with $0\leq p<1$ [PDF]

open access: green, 2021
Chiara Bianchini   +3 more
openalex   +1 more source

Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities

open access: yesMathematical Finance, EarlyView.
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley   +1 more source

Lp-Curvature Measures and Lp,q-Mixed Volumes

open access: yesJournal of Function Spaces, 2022
Motivated by Lutwak et al.’s Lp-dual curvature measures, we introduce the concept of Lp-curvature measures. This new Lp-curvature measure is an extension of the classical surface area measure, Lp-surface area measure, and curvature measure. In this paper,
Tongyi Ma
doaj   +1 more source

On the Fourier transform of measures in Besov spaces

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak   +2 more
wiley   +1 more source

Sharp quantitative stability of the Brunn-Minkowski inequality [PDF]

open access: green, 2023
Alessio Figalli   +2 more
openalex   +1 more source

Equality in Borell-Brascamp-Lieb inequalities on curved spaces

open access: yes, 2018
By using optimal mass transportation and a quantitative H\"older inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds.
Balogh, Zoltán M., Kristály, Alexandru
core   +1 more source

Plank theorems and their applications: A survey

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS

open access: yesФізико-математична освіта
Formulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
doaj   +1 more source

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