Search results for "paces"
showing 10 items of 496 documents
Délimitation d'ensembles morphologiques par une approche multi-échelle
2008
The paper deals with the identification of the envelope of built-up patterns that we define as the limit of a morphologically coherent set through the scales. The point of view is purely morphological; it refers to a multi-scale approach. Besides the description of the context of the research (that is the urban-rural delimitation) the paper is dedicated to the presentation of the methodological principles which allow the identification of the envelope of built-up patterns. The first step of the methodology, that is the step by step dilation of a studied built-up pattern, is briefly described. The emphasis is placed on the second step of the methodology that is the identification of a thresh…
Modelling Without a Modelling Language
2018
Developments in computer hardware and programming languages, in this case C++, have made it feasible to write models of concurrent systems under verification in the programming language, instead of some established modelling language such as Promela. While this does not reduce the usefulness of modelling languages, it offers new possibilities that may be advantageous, for instance, when teaching state space ideas to newcomers or when experimenting with new scientific ideas. In earlier work, we were able to express everything else fairly naturally in C++, except the set of transitions. The present study uses C++ lambda functions to represent naturally transitions that consist of a tail state…
From Solid Spaces To Liquid Spaces: New Ecologies of Musical Practices.
2019
Purpose: In recent years, the interest in creating new educational spaces has increased substantially, aiming to influence the methods of learning of our students and to adopt new educational strategies. This article highlights the importance of the atmosphere when remodeling musical practices. Methodologically, when transforming a space, we do not only have to improve the physical architectures but also the pedagogical ones, as well as keeping the practices consistent with these changes. The MUSICLAB CR-209 'Sound laboratory' have been built in Valencia (Spain). This is a hybrid space designed especially for collaborative projects -teachers, artists, students and researchers- in which soun…
heritage and culture as instruments of qualification of urban spaces : the case of the Musée Urbain Tony Garnier
2014
International audience; In this essay we will bring up the question of designing atypical objects, in this case, social housing, as cultural heritage. The continuing process of development of western cities raises new questions concerning division of living-areas produces districts of mixed populations, together with phenomena of social differentiation. Heritage and culture are henceforward tools for distinguishing social spaces and the groups of the associations movement unceasingly produces new heritage-artefacts, sometimes in contradiction with the administrative services of universe of heritage, and the concept of public good is in a certain way made use of in growing phenomena of urban…
On one-dimensionality of metric measure spaces
2019
In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists from any absolutely continuous measure to an arbitrary measure, is a one-dimensional manifold (possibly with boundary). As an immediate corollary we obtain that if a metric measure space is a very strict $CD(K,N)$ -space or an essentially non-branching $MCP(K,N)$-space with some open set isometric to an interval, then it is a one-dimensional manifold. We also obtain the same conclusion for a metric measure space which has a point in which the Gromov-Hausdorff tangent is unique and isometric to the real line, and fo…
Differential of metric valued Sobolev maps
2020
We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when the target is $\mathbb{R}$.
Mappings of finite distortion between metric measure spaces
2015
We establish the basic analytic properties of mappings of finite distortion between proper Ahlfors regular metric measure spaces that support a ( 1 , 1 ) (1,1) -Poincaré inequality. As applications, we prove that under certain integrability assumption for the distortion function, the branch set of a mapping of finite distortion between generalized n n -manifolds of type A A has zero Hausdorff n n -measure.
Existence of optimal transport maps in very strict CD(K,∞) -spaces
2018
We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans. peerReviewed
Non-branching geodesics and optimal maps in strong CD(K,∞) -spaces
2014
We prove that in metric measure spaces where the entropy functional is Kconvex along every Wasserstein geodesic any optimal transport between two absolutely continuous measures with finite second moments lives on a non-branching set of geodesics. As a corollary we obtain that in these spaces there exists only one optimal transport plan between any two absolutely continuous measures with finite second moments and this plan is given by a map. The results are applicable in metric measure spaces having Riemannian Ricci curvature bounded below, and in particular they hold also for Gromov-Hausdorff limits of Riemannian manifolds with Ricci curvature bounded from below by some constant. peerReview…