Search results for "52"

Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality

2016

We provide a sharp quantitative version of the Gaussian concentration inequality: for every $r>0$, the difference between the measure of the $r$-enlargement of a given set and the $r$-enlargement of a half-space controls the square of the measure of the symmetric difference between the set and a suitable half-space. We also prove a similar estimate in the Euclidean setting for the enlargement with a general convex set. This is equivalent to the stability of the Brunn-Minkowski inequality for the Minkowski sum between a convex set and a generic one.

Logarithmic bundles of deformed Weyl arrangements of type $A_2$

2016

We consider deformations of the Weyl arrangement of type $A_2$, which include the extended Shi and Catalan arrangements. These last ones are well-known to be free. We study their sheaves of logarithmic vector fields in all other cases, and show that they are Steiner bundles. Also, we determine explicitly their unstable lines. As a corollary, some counter-examples to the shift isomorphism problem are given.

Abstract and concrete tangent modules on Lipschitz differentiability spaces

2020

We construct an isometric embedding from Gigli's abstract tangent module into the concrete tangent module of a space admitting a (weak) Lipschitz differentiable structure, and give two equivalent conditions which characterize when the embedding is an isomorphism. Together with arguments from a recent article by Bate--Kangasniemi--Orponen, this equivalence is used to show that the ${\rm Lip}-{\rm lip}$ -type condition ${\rm lip} f\le C|Df|$ implies the existence of a Lipschitz differentiable structure, and moreover self-improves to ${\rm lip} f =|Df|$. We also provide a direct proof of a result by Gigli and the second author that, for a space with a strongly rectifiable decomposition, Gigli'…

P-spaces and the Volterra property

2012

We study the relationship between generalizations of $P$-spaces and Volterra (weakly Volterra) spaces, that is, spaces where every two dense $G_\delta$ have dense (non-empty) intersection. In particular, we prove that every dense and every open, but not every closed subspace of an almost $P$-space is Volterra and that there are Tychonoff non-weakly Volterra weak $P$-spaces. These results should be compared with the fact that every $P$-space is hereditarily Volterra. As a byproduct we obtain an example of a hereditarily Volterra space and a hereditarily Baire space whose product is not weakly Volterra. We also show an example of a Hausdorff space which contains a non-weakly Volterra subspace…

Solidaarisuutta, huolenpitoa vai pääoman kasaamista

2002

Performance Analysis of Cooperative Communication Systems with Imperfect Channel Estimation

2009

This paper investigates the effects of channel estimation errors on the symbol-error-rate (SER) performance of a cooperative communication system operating in an amplify-and- forward (AF) mode. A pilot symbol assisted modulation scheme with linear minimum mean square estimation (LMMSE) is used for the channel estimation. An accurate and easy-to-evaluate SER expression is presented for uncoded cooperative communication systems with quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations. Numerical simulations are conducted to verify the correctness of the proposed analytical formulation. It is shown that the performance loss caused by channel estimation errors incre…

Individualized counselling for active aging: protocol of a single-blinded, randomized controlled trial among older people (the AGNES intervention stu…

2019

Background: Active aging has been established as a policy goal for aging societies. We define active aging at the individual level as striving for elements of well-being through activities in relation to a person’s goals, functional capacities and opportunities. Increasing evidence suggests that any meaningful activity is beneficial for different aspects of well-being in older people. The aim of the present randomized controlled trial is to test the feasibility and effectiveness of a one-year community-based intervention on active aging. The AGNES intervention aims at increasing older peoples’ participation in self-selected valued activities. Methods: The proposed study is a two-arm single-…

Efecto moderador de la institucionalización en las actividades de la vida diaria y bienestar en el envejecimiento

2012

OBJETIVO: El envejecimiento con éxito es un concepto multidimensional que se puede evaluar a partir de componentes objetivos y subjetivos como el funcionamiento físico, psicológico y social. El objetivo de este trabajo es comparar el funcionamiento en variables relacionadas con el envejecimiento exitoso en ancianos institucionalizados y no institucionalizados. MÉTODO: Se realizó un diseño de dos grupos independientes, institucionalizados (N=242) y no institucionalizados (N=607), todos de más de 65 años, evaluándose sus actividades de la vida diaria (AVD) y el bienestar psicológico. RESULTADOS: El Índice de Barthel mostró diferencias significativas, siendo inferior la media de los institucio…

Erfaringer ved mindfulness som helsefremmende metode : en kvalitativ studie om kursdeltakeres erfaringer etter mindfulness retreat i Kenya

2016

Masteroppgave klinisk helsevitenskap ME520 - Universitetet i Agder 2016 Background The reason for the study was to look into mindfulness as health promotion method through Norwegian participants' experiences after mindfulness retreat in Kenya. Purpose and problem The purpose of this study is to examine the experiences participants are left with after mindfulness training in a salutogenic perspective. The problem I am asking is; "What experiences have Norwegian participants after mindfulness retreat in Kenya –light of health promotion and quality of life?" Method: design, selection and analysis I have used qualitative research methods. Data were collected in the form of participant observati…

Gudsbilde og fortapelse : en studie i Aril Edvardsens teologi

2006

Masteroppgave i Kristendomskunnskap 2006 - Høgskolen i Agder, Kristiansand