Publications associées à Nombre constructible

Persistence and the Sheaf-Function Correspondence

The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold M with the Grothendieck group of constructible sheaves on M. When M is a finite dimensional real vector space, Kashiwara-Schapira have recently in ...

Cambridge Univ Press2023

Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow

Riccardo Puppi

Modern manufacturing engineering is based on a ``design-through-analysis'' workflow. According to this paradigm, a prototype is first designed with Computer-aided-design (CAD) software and then finalized by simulating its physical behavior, which usually i ...

EPFL2022

A Theory of Value for Service Ecosystems

Blagovesta Hristova Kostova

In this thesis, we present a theory of value for the design and analysis of service ecosystems. The theory is based on general systems thinking. The concept of a system is used for relating knowledge from different disciplines (such as software engineering ...

EPFL2022

Overlapping Multipatch Isogeometric Method With Minimal Stabilization

Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei, Riccardo Puppi

We present a novel method for isogeometric analysis (IGA) to directly work on geometries constructed by Boolean operations including difference (i.e., trimming), union, and intersection. Particularly, this work focuses on the union operation, which involve ...

SIAM PUBLICATIONS2021

Realizing doubles: a conjugation zoo

Jérôme Scherer

Conjugation spaces are topological spaces equipped with an involution such that their fixed points have the same mod 2 cohomology (as a graded vector space, a ring and even an unstable algebra) but with all degrees divided by two, generalizing the classica ...

CAMBRIDGE UNIV PRESS2021

Uniformly perfect finitely generated simple left orderable groups

Yash Lodha

We show that the finitely generated simple left orderable groups G(rho) constructed by the first two authors in Hyde and Lodha [Finitely generated infinite simple groups of homeomorphisms of the real line. Invent. Math. (2019), doi:10.1007/s00222-01900880- ...

CAMBRIDGE UNIV PRESS2021

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Xavier Fernandez-Real Girona

We investigate the regularity of the free boundary for the Signorini problem in Rn+1. It is known that regular points are (n−1)-dimensional and C∞. However, even for C∞ obstacles φ, the set of non-regular (or degenerate) points could be very large—e.g. wit ...

2021

Robustness of In-Laboratory and Daily-Life Gait Speed Measures over One Year in High Functioning 61-to 70-Year-Old Adults

Kamiar Aminian

Introduction: Gait speed is a simple and safe measure with strong predictive value for negative health outcomes in clinical practice, yet in-laboratory gait speed seems not representative for daily-life gait speed. This study aimed to investigate the inter ...

KARGER2021

A global line list for HDO between 0 and 35000 cm−1 constructed using multiphoton spectra

Oleg Boyarkine

Multiphoton spectroscopy of monodeuterated water is employed to determine more than 210 new energy levels of HDO in the 25 000–35 000 cm region. These new empirical energy levels are used to fit a potential energy surface (PES) valid between 20 000 cm and ...

2021

Perceptual grouping leads to objecthood effects in the Ebbinghaus illusion

Michael Herzog, Aline Françoise Cretenoud, Einat Rashal

The Ebbinghaus illusion is argued to be a product of low-level contour interactions or a higher cognitive comparison process. We examined the effect of grouping on the illusion by manipulating objecthood, i.e., the degree to which an object is a cohesive p ...

2020

On long time behavior of solutions to nonlinear dispersive equations

Stefano Francesco Burzio

In part I, we address the issue of existence of solutions for Cauchy problems involving nonlinear hyperbolic equations for initial data in Sobolev spaces with scaling subcritical regularity. In particular, we analyse nonlinear estimates for null-forms in t ...

EPFL2020

Simplified Instrument Calibration forWide-FieldFluorescence Resonance Energy Transfer (FRET) Measured by the Sensitized Emission Method

Forster (or fluorescence) resonance energy transfer (FRET) is a quantifiable energy transfer in which a donor fluorophore nonradiatively transfers its excitation energy to an acceptor fluorophore. A change in FRET efficiency indicates a change of proximity ...

2021

Performance Contracts for Software Network Functions

George Candea, Solal Vincenzo Pirelli, Rishabh Ramesh Iyer, Aikaterini Argyraki, Arseniy Zaostrovnykh, Luis David Figueiredo Mascarenhas Moreira Pedrosa

Software network functions (NFs), or middleboxes, promise flexibility and easy deployment of network services but face the serious challenge of unexpected performance behaviour. We propose the notion of a performance contract, a construct formulated in ter ...

USENIX ASSOC2019

Global robustness versus local vulnerabilities in complex synchronous networks

Philippe René Joseph Jacquod

In complex network-coupled dynamical systems, two questions of central importance are how to identify the most vulnerable components and how to devise a network making the overall system more robust to external perturbations. To address these two questions ...

2019

epsilon-Coresets for Clustering (with Outliers) in Doubling Metrics

Lingxiao Huang, Jian Li

We study the problem of constructing epsilon-coresets for the (k, z)-clustering problem in a doubling metric M(X, d). An epsilon-coreset is a weighted subset S subset of X with weight function w : S -> R->= 0, such that for any k-subset C is an element of ...

IEEE COMPUTER SOC2018

Non-Normal Very Ample Polytopes - Constructions and Examples

Michal Lason

We answer several questions posed by Beck, Cox, Delgado, Gubeladze, Haase, Hibi, Higashitani, and Maclagan in [Cox et al. 14, Question 3.5 (1),(2), Question 3.6], [Beck et al. 15, Conjecture 3.5(a),(b)], and [Hasse et al. 07, Open question 3 (a),(b) p. 231 ...

Taylor & Francis Inc2017

Optimal polynomial blow up range for critical wave maps

Joachim Krieger, Can Gao

We prove that the critical Wave Maps equation with target

S^2

and origin

\R^{2+1}

admits energy class blow up solutions of the form

u(t, r) = Q(\lambda(t)r) + \eps(t, r)

where

Q:\R^2\rightarrow S^2

is the ground state harmonic map and $\lambd ...

2015

Optimal polynomial blow up range for critical wave maps

Can Gao

We prove that the critical Wave Maps equation with target

S^2

and origin ℝ

^{2+1}

admits energy class blow up solutions of the form [ u(t, r) = Q(\lambda(t)r) + \epsilon(t, r) ] where

Q:ℝ²\rightarrow S^2

is the ground state harmonic map and $\lambda ...

EPFL2015

Characterization of the Discrepancies Between Four-Dimensional Phase-Contrast Magnetic Resonance Imaging and In-Silico Simulations of Cerebrospinal Fluid Dynamics

Bryn Andrew Martin

The purpose of the present study was to compare subject-specific magnetic resonance imaging (MRI)-based computational fluid dynamics (CFD) simulations with time-resolved three-directional (3D) velocity-encoded phase-contrast MRI (4D PCMRI) measurements of ...

American Society of Mechanical Engineers2015

Moduli spaces of toric manifolds

Tudor Ratiu

We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance i ...

Springer Verlag2014