Publication

Regularity in metric spaces

Related publications (47)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

On inconsistent entities. A reply to Colyvan

Francesco Piazza

In a recent article M. Colyvan has argued that Quinean forms of scientific realism are faced with an unexpected upshot. Realism concerning a given class of entities, along with this route to realism, can be vindicated by running an indispensability argumen ...

2010

NMR Properties of Human Median Nerve at 3 T: Proton Density, T1, T2, and Magnetization Transfer

Giulio Gambarota

Purpose: To measure the proton density (PD), the T1 and T2 relaxation time, and magnetization transfer (MT) effects in human median nerve at 3 T and to compare them with the corresponding values in muscle. ...

Wiley-Blackwell2009

Steiner's Invariants and Minimal Connections

Marc Troyanov, Stephen Ducret

The aim of this note is to prove that any compact metric space can be made connected at a minimal cost, where the cost is taken to be the one-dimensional Hausdorff measure. ...

2008

Weak metrics on Euclidean domains

Marc Troyanov

A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. The aim of this paper is to present some interesting weak metrics and to study some of their properties. In particular, we introduce a ...

2007

Inversion de Fourier ponctuelle

Emanuel Enrico Seifert

Let f be an integrable function on RN, a a point in RN and B a complex number. If the mean value of f on the sphere of centre a and radius r tends to B when r tends to 0, we show that the Fourier integral at a of f is summable to B in Cesàro means of order ...

EPFL2007

Objective Evaluation of the Perceptual Quality of 3D Watermarking

Touradj Ebrahimi, Elisa Drelie Gelasca

In this paper an objective metric to measure the perceptual quality of watermarked 3D meshes is presented. The metric, which is based on a black-box approach, relies on the measurement of the roughness of 3D meshes before and after the insertion of the wat ...

IEEE2005

Tangent Spaces to Metric Spaces: Overview and Motivations

Marc Troyanov

This is the text of an introductory lecture I made at the Séminaire Borel 2003 (IIIème Cycle Romand de Mathématiques). The general theme of that seminaire was Tangent Spaces of Metric Spaces. ...

2003

An Exact Relation Between Willingness To Pay and Willingness To Accept

Thomas Alois Weber

I present a simple and precise relationship between the willingness-to-pay and the willingness-to-accept, or equivalently between the compensating and equivalent variations following an exogenous welfare change. One can be computed given the other as a fun ...

Elsevier2003

Capacities in metric spaces

Marc Troyanov

We discuss the potential theory related to variational capacity and the Sobolev capacity on metric measure spaces. We prove our results within the axiomatic framework. ...

2002

An integral characterization of Hajlasz-Sobolev space

Marc Troyanov

We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality. ...

2001