Distribution de Dirac

Science formelle
Mathématiques
Analyse (mathématiques)
Distribution (mathématiques)

Publications associées (26)

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Singular global components and frequency shift of the geodesic acoustic continuum modes in shaped tokamaks

Jonathan Graves

Within the ideal magnetohydrodynamic (MHD) model, the geodesic acoustic modes (GAMs) in tokamaks derived by Winsor et al (1968 Phys. Fluids 11 2448) belong to the continuous spectrum, characterised by unbounded non-square integrable eigenfunctions (delta f ...

2019

Sparse Sampling for Inverse Problems With Tensors

Guillermo Ortiz Jimenez

We consider the problem of designing sparse sampling strategies for multidomain signals, which can be represented using tensors that admit a known multilinear decomposition. We leverage the multidomain structure of tensor signals and propose to acquire sam ...

2019

Detailed experiments on weakly deformed cavitation bubbles

Mohamed Farhat, Nicolas Dorsaz, Danail Obreschkow, Philipp Kobel, Outi Supponen

We present high-precision experiments conducted with the aim to better characterise weak deformations of single cavitation bubbles. Using two needle hydrophones and a high-speed photodetector, we record the timings of shock waves and luminescence emitted a ...

SPRINGER2019

Properties of Direct-Time and Reversed-Time Transfer Functions to Locate Disturbances along Power Transmission Lines

Mario Paolone, Zhaoyang Wang, Zhe Chen

The paper discusses specific frequency-domain properties of the electromagnetic time reversal (EMTR) method applied to locate faults and, more in general, disturbances in power networks. Specifically, we investigate the properties of two transfer functions ...

IEEE2019

The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models

Nicolas Macris, Jean François Emmanuel Barbier

In this contribution we give a pedagogic introduction to the newly introduced adaptive interpolation method to prove in a simple and unified way replica formulas for Bayesian optimal inference problems. Many aspects of this method can already be explained ...

IOP PUBLISHING LTD2019

LTCC magnetic sensors at EPFL and TCV: Lessons learnt for ITER

Duccio Testa, Xavier Llobet, Pierre Lavanchy, Matthieu Toussaint, Ugo Siravo, Frédéric Dolizy, Jonathan Bryan Lister, Steve Couturier, Thomas Maeder, Philippe Marmillod

Innovative 3D high-frequency magnetic sensors have been designed and manufactured in-house for installation on the Tokamak a Configuration Variable (TCV), and are currently routinely operational. These sensors combine the Low Temperature Co-fired Ceramic ( ...

2019

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