Publications related to Closed set

Hill chart modelling using the Hermite polynomial chaos expansion for the performance prediction of pumps running as turbines

François Avellan, Loïc Andolfatto, João Nuno Gomes Borga Delgado

Pumps running as turbines are suitable hydraulic machines for micro hydropower applications. The selection of the proper pumps to install in a given site still remains a major challenge, as pump manufacturers do not provide the characteristic curves data i ...

2019

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

David Valentin Strütt

We study the system of linear partial differential equations given by dw + a Lambda w = f, on open subsets of R-n, together with the algebraic equation da Lambda u = beta, where a is a given 1-form, f is a given (k + 1)-form, beta is a given k + 2-form, w ...

2018

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

Self-consistent model for the saturation mechanism of the response to harmonic forcing in the backward-facing step flow

François Gallaire, Vladislav Mantic Lugo

Certain flows denominated as amplifiers arc characterized by their global linear stability while showing large linear amplifications to sustained perturbations. As the forcing amplitude increases, a strong saturation of the response appears when compared t ...

Cambridge University Press2016

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

Detecting and Tracking Cells using Network Flow Programming

Pascal Fua, Engin Türetken, Xinchao Wang, Carlos Joaquin Becker

We propose a novel approach to automatically detecting and tracking cell populations in time-lapse images. Unlike earlier ones that rely on linking a predetermined and potentially under-complete set of detections, we generate an overcomplete set of competi ...

2015

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Martins Bruveris, Martin Bauer

In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...

Springer Verlag2014

Relative amenability

Nicolas Monod

We introduce a relative fixed point property for subgroups of a locally compact group, which we call relative amenability. It is a priori weaker than amenability. We establish equivalent conditions, related among others to a problem studied by Reiter in 19 ...

European Mathematical Soc2014

Splitting fields of conics and sums of squares of rational functions

David Maximilian Grimm

Given a geometrically unirational variety over an infinite base field, we show that every finite separable extension of the base field that splits the variety is the residue field of a closed point. As an application, we obtain a characterization of functi ...

Springer-Verlag2013

Closing Large Hyperbolic 2g-gons

Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...

EPFL2012

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Hill chart modelling using the Hermite polynomial chaos expansion for the performance prediction of pumps running as turbines

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

Self-consistent model for the saturation mechanism of the response to harmonic forcing in the backward-facing step flow

An Inner-Product Calculus for Periodic Functions and Curves

Detecting and Tracking Cells using Network Flow Programming

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Relative amenability

Splitting fields of conics and sums of squares of rational functions

Closing Large Hyperbolic 2g-gons

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

An Inner-Product Calculus for Periodic Functions and Curves

Hill chart modelling using the Hermite polynomial chaos expansion for the performance prediction of pumps running as turbines

Detecting and Tracking Cells using Network Flow Programming

Self-consistent model for the saturation mechanism of the response to harmonic forcing in the backward-facing step flow

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Closing Large Hyperbolic 2g-gons

Relative amenability

Splitting fields of conics and sums of squares of rational functions