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Regularity in metric spaces

Publications associées (47)

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Decompositions Of Log-Correlated Fields With Applications

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In this article, we establish novel decompositions of Gaussian fields taking values in suitable spaces of generalized functions, and then use these decompositions to prove results about Gaussian multiplicative chaos. We prove two decomposition theorems. Th ...

2019

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An increasing number of knowledge brokers work at the interface between research, policy and practice. Their function is to facilitate processes to foster mutual learning among research, policy and practice. For some knowledge brokers, practical methodolog ...

2018

Non-local Functionals Related to the Total Variation and Connections with Image Processing

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We present new results concerning the approximation of the total variation,

\int_{\Omega} |\nabla u|

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by non-local, non-convex functionals of the form $$ \Lambda_\delta u = \int_{\Omega} \int_{\Omega} \frac{\delta \varphi \big( |u(x) - ...

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On Hardy and Caffarelli-Kohn-Nirenberg inequalities

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We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps f ...

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Argument discovery via crowdsourcing

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The amount of controversial issues being discussed on the Web has been growing dramatically. In articles, blogs, and wikis, people express their points of view in the form of arguments, i.e., claims that are supported by evidence. Discovery of arguments ha ...

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Taylor & Francis Ltd2016

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

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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 ...

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Device and method for testing a material response to a compound

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Device for testing a material response, such as a tissue response, to a compound; said device comprising material impedance measuring means which are adapted to measure the material impedance at the compound action site. ...

2015

Evaluation of control strategies for fixed-wing drones following slow-moving ground agents

Dario Floreano, Jean-Christophe Zufferey, Grégoire Hilaire Marie Heitz, Maja Varga

There are many situations where fixed-wing drones may be required to track ground moving agents, such as humans or cars, which are typically slower than drones. Some control strategies have been proposed and validated in simulations using the average dista ...

Elsevier2015

Supramenable groups

Julian Kellerhals

In this thesis we investigate the class of supramenable groups. In the first part we give an overview of some analogous characterizations of amenable and supramenable groups. This is followed by the study of two properties close to supramenability: megamen ...

EPFL2014

Non-local Functionals Related to the Total Variation and Connections with Image Processing

Hoài-Minh Nguyên

We present new results concerning the approximation of the total variation,

\int_{\Omega} |\nabla u|

, of a function

u

by non-local, non-convex functionals of the form $$ \Lambda_\delta u = \int_{\Omega} \int_{\Omega} \frac{\delta \varphi \big( |u(x) - ...

2018