Publications related to Fields Medal

A remark on a surprising result by Bourgain in homogenization

In a recent work, Bourgain gave a fine description of the expectation of solutions of discrete linear elliptic equations on Zd with random coefficients in a perturbative regime using tools from harmonic analysis. This result is surprising for it goes beyon ...

2019

Microwave Imaging of Brain Stroke

Mina Bjelogrlic

Brain stroke is an age-related illness which has become a major issue in our ageing societies. Early diagnosis and treatment are of high importance for the full recovery of the patient, as reminded in Anglo-Saxon countries by the abbreviation FAST (Face, A ...

EPFL2018

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Fabio Nobile, Daniel Kressner, Christine Tobler, Rajesh Kumar

Gaussian random fields are widely used as building blocks for modeling stochastic processes. This paper is concerned with the efficient representation of d-point correlations for such fields, which in turn enables the representation of more general stochas ...

2015

HIGHER MORSE MODULI SPACES AND n-CATEGORIES

We generalize Cohen & Jones & Segal's flow category, whose objects are the critical points of a Morse function and whose morphisms are the Morse moduli spaces between the critical points to an n-category. The n-category construction involves repeatedly doi ...

Int Press Boston, Inc2014

Efficient Analysis of Shielding Effectiveness of Metallic Rectangular Enclosures Using Unconditionally Stable Time-Domain Integral Equations

Juan Ramon Mosig, Hamidreza Karami, Michael Mattes

This paper proposes an efficient modeling technique for transient electromagnetic analysis of a rectangular metallic enclosure with multiple apertures, using the surface equivalent principle (SEP) and integral equations. The SEP is used to replace the aper ...

2014

Combining Statistical Evidence

Stephan Morgenthaler, Robert Staudte

The combination of evidence from independent studies has a curious history. The origins reach back at least to the beginning of the 20th century. Since the mid-1970s, meta-analysis has become popular in several fields, among them medical statistics and the ...

Wiley-Blackwell2014

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Martin Vetterli, Jayakrishnan Unnikrishnan

Consider the task of sampling and reconstructing a bandlimited spatial field in

\Re^2

using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to incre ...

Institute of Electrical and Electronics Engineers2013

Reduced basis method for parametrized elliptic optimal control problems

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Federico Negri

We propose a suitable model reduction paradigm -- the certied reduced basis method (RB) -- for the rapid and reliable solution of parametrized optimal control problems governed by partial dierential equations (PDEs). In particular, we develop the methodolo ...

Society for Industrial and Applied Mathematics2013

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Marc Maintrot

The objective of this PhD thesis is the approximate computation of the solutions of the Spectral Problem associated with the Laplace operator on a compact Riemann surface without boundaries. A Riemann surface can be seen as a gluing of portions of the Hype ...

EPFL2012

Numerical Ecology with R

François Gillet, Daniel Borcard

Numerical Ecology with R provides a long-awaited bridge between a textbook in Numerical Ecology and the implementation of this discipline in the R language. After short theoretical overviews, the authors accompany the users through the exploration of the m ...

Springer2011

Fields Medal

Graph Chatbot

Chat with Graph Search

A remark on a surprising result by Bourgain in homogenization

Microwave Imaging of Brain Stroke

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

HIGHER MORSE MODULI SPACES AND n-CATEGORIES

Efficient Analysis of Shielding Effectiveness of Metallic Rectangular Enclosures Using Unconditionally Stable Time-Domain Integral Equations

Combining Statistical Evidence

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Reduced basis method for parametrized elliptic optimal control problems

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Numerical Ecology with R

A remark on a surprising result by Bourgain in homogenization

Microwave Imaging of Brain Stroke

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

HIGHER MORSE MODULI SPACES AND n-CATEGORIES

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Efficient Analysis of Shielding Effectiveness of Metallic Rectangular Enclosures Using Unconditionally Stable Time-Domain Integral Equations

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Combining Statistical Evidence

Reduced basis method for parametrized elliptic optimal control problems

Numerical Ecology with R