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A substantive contribution to a theory of spatial justice

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Space lower bounds for low-stretch greedy embeddings

Christos Kalaitzis

Greedy (geometric) routing is an important paradigm for routing in communication networks. It uses an embedding of the nodes of a network into points of a space (e.g., R-d) equipped with a distance function (e.g., the Euclidean distance l(2)) and uses as a ...

Elsevier Science Bv2016

Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Maria Colombo

In this paper we make a survey of some recent developments of the theory of Sobolev spaces W-1,W-q (X, d, m), 1 < q < infinity, in metric measure spaces (X, d, m). In the final part of the paper we provide a new proof of the reflexivity of the Sobolev spac ...

2015

Renormalized solutions to the continuity equation with an integrable damping term

Maria Colombo

We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions (Invent Math 98:511-547, 1989) proved that, when the damping term is bounded in space and time, the equation is well posed i ...

2015

All About Space (Vol. 1) - The Invention of Space

Dieter Dietz, Daniel Zamarbide Elizondo

A sparkling intellectual experiment about creating space and the initial volume of a new four-part series from EPFL's School of Architecture. ...

Park Books2015

Exploring Humans' Space

Jacques Lévy

Explore how geography, cartography, urbanization and spatial justice play a role in shaping the notion of human space. An introduction to geographicity proposed by Chôros on edX platform ...

2015

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Martins Bruveris, Martin Bauer

In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...

Springer Verlag2014

Incorporation of skilled migrants in a host country: insights from the study of skilled Indians in Switzerland

Gabriela Tejada Guerrero, Metka Hercog

It is commonly accepted that mobility of people, especially of highly-skilled workers, has acquired a much more temporary character. Such fluid patterns of mobility call to attention the need to observe in what way highly-skilled migrants at present relate ...

International Migration and Diaspora Studies Project, JNU2014

Constructing reparameterization invariant metrics on spaces of plane curves

Martins Bruveris, Martin Bauer

Metrics on shape spaces are used to describe deformations that take one shape to another, and to define a distance between shapes. We study a family of metrics on the space of curves, which includes several recently proposed metrics, for which the metrics ...

Elsevier2014

What do individuals conceive of as justice in space?

Ana Moura Bastos de Fernandes Póvoas

The main topic of this presentation is the justification of the interview protocol developed in my doctoral research, a research that studies the collective representations of what a just space is, for the city-society of the Metropolitan Area of Porto. Th ...

2013

Orbital Magnetization as a Local Property

The modern expressions for polarization P and orbital magnetization M are k-space integrals. But a genuine bulk property should also be expressible in r space, as an unambiguous function of the ground-state density matrix, "nearsighted'' in insulators, ind ...

Amer Physical Soc2013