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Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

Publications associées (46)

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Partition function on spheres: How to use zeta function regularization

Alexander Monin

It is known that not all summation methods are linear and stable. Zeta function regularization is in general nonlinear. However, in some cases formal manipulations with zeta function regularization (assuming linearity of sums) lead to correct results. We c ...

Amer Physical Soc2016

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

Alfio Quarteroni, Carlo Marcati

In this work we apply the discontinuous Galekin (dG) spectral element method on meshes made of simplicial elements for the approximation of the elastodynamics equation. Our approach combines the high accuracy of spectral methods, the geometrical flexibilit ...

Springer Verlag2016

Extendability of Continuous Maps Is Undecidable

We consider two basic problems of algebraic topology: the extension problem and the computation of higher homotopy groups, from the point of view of computability and computational complexity. The extension problem is the following: Given topological space ...

Springer2014

NURBS-Based BEM Implementation of High-Order Surface Impedance Boundary Conditions

Annalisa Buffa, Rafael Vazquez Hernandez

When implementing high-order surface impedance boundary conditions in collocation boundary element method (BEM) with constant or linear elements, difficulties arise due to the computation of the curvature of the conductors and of the tangential derivatives ...

2012

A constraint sampling approach for multi-stage robust optimization

Daniel Kuhn

We propose a tractable approximation scheme for convex (not necessarily linear) multi-stage robust optimization problems. We approximate the adaptive decisions by finite linear combinations of prescribed basis functions and demonstrate how one can optimize ...

Elsevier2012

Simultaneously driven linear and nonlinear spatial encoding fields in MRI

Daniel Gallichan, John Hennig

Spatial encoding in MRI is conventionally achieved by the application of switchable linear encoding fields. The general concept of the recently introduced PatLoc (Parallel Imaging Technique using Localized Gradients) encoding is to use nonlinear fields to ...

Wiley-Blackwell2011

Analysis and Modeling of On-Chip Power Combiners and Their Losses in LINC Transmitters

Adil Koukab

This paper presents a compact model for LINC (linear amplification with non linear components) transmitters an their power combiners. The study focuses on the detrimental effect of the transmission line nonidealities. A mathematical description of the syst ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

3D Near-infrared Imaging based on a Single-photon Avalanche Diode Array Sensor

Matthias Wolf, Edoardo Charbon, Cristiano Niclass, Claudio Favi, Juan Mata Pavia

A new imager for 3D near-infrared imaging has been designed based on a single-photon avalanche diode (SPAD) imager with 128x128 pixels capable of performing time-resolved measurements with a resolution of 97ps. The imager linearity has been improved to mak ...

2011

Coalgèbres d'Alexander-Whitney

Théophile Naïto

The goal of this work is to study Alexander-Whitney coalgebras (first defined in [HPST06]) from a topological point of view. An Alexander-Whitney coalgebra is a coassociative chain coalgebra over Z with an extra algebraic structure : the comultiplication m ...

EPFL2009

An output-sensitive algorithm for multi-parametric LCPs with sufficient matrices

Colin Neil Jones

This paper considers the multi-parametric linear complementarity problem (pLCP) with sufficient matrices. The main result is an algorithm to find a polyhedral decomposition of the set of feasible parameters and to construct a piecewise affine function that ...

2009