Search results for " mani"

Analytic Bergman operators in the semiclassical limit

2018

Transposing the Berezin quantization into the setting of analytic microlocal analysis, we construct approximate semiclassical Bergman projections on weighted $L^2$ spaces with analytic weights, and show that their kernel functions admit an asymptotic expansion in the class of analytic symbols. As a corollary, we obtain new estimates for asymptotic expansions of the Bergman kernel on $\mathbb{C}^n$ and for high powers of ample holomorphic line bundles over compact complex manifolds.

Assouad dimension, Nagata dimension, and uniformly close metric tangents

2013

We study the Assouad dimension and the Nagata dimension of metric spaces. As a general result, we prove that the Nagata dimension of a metric space is always bounded from above by the Assouad dimension. Most of the paper is devoted to the study of when these metric dimensions of a metric space are locally given by the dimensions of its metric tangents. Having uniformly close tangents is not sufficient. What is needed in addition is either that the tangents have dimension with uniform constants independent from the point and the tangent, or that the tangents are unique. We will apply our results to equiregular subRiemannian manifolds and show that locally their Nagata dimension equals the to…

THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR HERMITIAN FORMS ON HILBERT SPACES

2013

Gaussian surface measures and the radon transform on separable banach spaces

1980

La transmissió lingüística intergeneracional a Castelló de la Plana i la Franja: La rellevància dels usos entre progenitors

2020

Fa 50 anys, a Conflicte lingüístic valencià, Rafael L. Ninyoles situava el trencament de la transmissió familiar del català com a resultat i manifestació externa de conflictes socials i de classes, especialment visibles enmig del procés de modernització econòmica i mobilitat social accelerada del País Valencià dels anys 60 del segle XX. En aquest article partim de dos estudis de cas quantitatius sobre la transmissió intergeneracional de les llengües a Castelló de la Plana i les comarques centrals de la Franja per a actualitzar el seu diagnòstic i matisar la visió d'aquest fenomen com a resultat de decisions dels progenitors imposades verticalment a la descendència. Hi proposem que els usos …

How To Combine Ozone Therapies With Other Modalities For Maximum Efficacy

2018

In order to use Bio-Oxidative Therapies effectively, a small shift in thinking is needed. One needs to shift from Disease Literacy to Healing Literacy This shift in thinking leads to the inevitable conclusion that: Impaired Oxygen Signaling is the common denominator for all disease. Impaired Oxygen Signaling affects: •                    O2 driven energetics •                    O2's detergent function •                    O2's cellular repair function •                    O2's renewal function  It is important to be aware of Oxygen's multiple functions in order to appreciate the importance of the role bio-oxidative therapies play in the reversal of disease conditions. In fact, no treatment…

Renormalization-group analysis for the transition to chaos in Hamiltonian systems

2002

Abstract We study the stability of Hamiltonian systems in classical mechanics with two degrees of freedom by renormalization-group methods. One of the key mechanisms of the transition to chaos is the break-up of invariant tori, which plays an essential role in the large scale and long-term behavior. The aim is to determine the threshold of break-up of invariant tori and its mechanism. The idea is to construct a renormalization transformation as a canonical change of coordinates, which deals with the dominant resonances leading to qualitative changes in the dynamics. Numerical results show that this transformation is an efficient tool for the determination of the threshold of the break-up of…

2016

The goal of this article is to present a first list of ethical concerns that may arise from research and personal use of virtual reality (VR) and related technology, and to offer concrete recommendations for minimizing those risks. Many of the recommendations call for focused research initiatives. In the first part of the article, we discuss the relevant evidence from psychology that motivates our concerns. In section 1.1, we cover some of the main results suggesting that one’s environment can influence one’s psychological states, as well as recent work on inducing illusions of embodiment. Then, in section 1.2, we go on to discuss recent evidence indicating that immersion in VR can have psy…

Markovian Connection, Curvature and Weitzenböck Formula on Riemannian Path Spaces

2001

Abstract We shall consider on a Riemannian path space P m o ( M ) the Cruzeiro–Malliavin's Markovian connection. The Laplace operator will be defined as the divergence of the gradient. We shall compute explicitly the associated curvature tensor. A Weitzenbock formula will be established. To this end, we shall introduce an “inner product” between the tangent processes and simple vector fields.

Graded metrics adapted to splittings

1997

Homogeneous graded metrics over split ℤ2-graded manifolds whose Levi-Civita connection is adapted to a given splitting, in the sense recently introduced by Koszul, are completely described. A subclass of such is singled out by the vanishing of certain components of the graded curvature tensor, a condition that plays a role similar to the closedness of a graded symplectic form in graded symplectic geometry: It amounts to determining a graded metric by the data {g, ω, Δ′}, whereg is a metric tensor onM, ω 0 is a fibered nondegenerate skewsymmetric bilinear form on the Batchelor bundleE → M, and Δ′ is a connection onE satisfying Δ′ω = 0. Odd metrics are also studied under the same criterion an…