Unit
Numerical Algorithms and High-Performance Computing - CADMOS Chair
LaboratoryRelated publications (333)
Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic
Let be a classical group with natural module over an algebraically closed field of good characteristic. For every unipotent element of , we describe the Jordan block sizes of on the irreducible -modules which occur as compositio ...
2019Decompositions of dependence for high-dimensional extremes
Emeric Rolland Georges Thibaud
We propose two decompositions that help to summarize and describe high-dimensional tail dependence within the framework of regular variation. We use a transformation to define a vector space on the positive orthant and show that transformed-linear operatio ...
OXFORD UNIV PRESS2019The index of singular zeros of harmonic mappings of anti-analytic degree one
We study harmonic mappings of the form , where h is an analytic function. In particular, we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the critical set of f, where the Jacobian of f is non-vanishing, it ...
TAYLOR & FRANCIS LTD2019On the Averaged Green’s Function of an Elliptic Equation with Random Coefficients
We consider a divergence-form elliptic difference operator on the lattice Zd, with a coefficient matrix that is an i.i.d. perturbation of the identity matrix. Recently, Bourgain introduced novel techniques from harmonic analysis to prove the convergence of ...
2019A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities
The purpose of this thesis is to provide an intrinsic proof of a Gauss-Bonnet-Chern formula for complete Riemannian manifolds with finitely many conical singularities and asymptotically conical ends. A geometric invariant is associated to the link of both ...
EPFL2019Configuration Spaces Of Products
We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of the appropriate dimension. We also discuss an ...
2019Fast hierarchical solvers for symmetric eigenvalue problems
In this thesis we address the computation of a spectral decomposition for symmetric
banded matrices. In light of dealing with large-scale matrices, where classical dense
linear algebra routines are not applicable, it is essential to design alternative tech ...
EPFL2018Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré
In this thesis, we study two distinct problems.
The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...
EPFL2018New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials
Optimization is a fundamental tool in modern science. Numerous important tasks in biology, economy, physics and computer science can be cast as optimization problems. Consider the example of machine learning: recent advances have shown that even the most s ...
EPFL2018A Householder-Based Algorithm For Hessenberg-Triangular Reduction
Daniel Kressner, Zvonimir Bujanovic
The QZ algorithm for computing eigenvalues and eigenvectors of a matrix pencil A - lambda B requires that the matrices first be reduced to Hessenberg-triangular (HT) form. The current method of choice for HT reduction relies entirely on Givens rotations re ...
SIAM PUBLICATIONS2018