Concept
Inductive dimension
Related publications (38)
From thin plates to Ahmed bodies: linear and weakly nonlinear stability of rectangular prisms
Edouard Boujo, Giuseppe Antonio Zampogna
We study the stability of laminar wakes past three-dimensional rectangular prisms. The width-to-height ratio is set to W/H = 1.2, while the length-to-height ratio 1/6 < L/H < 3 covers a wide range of geometries from thin plates to elongated Ahmed bodies. F ...
CAMBRIDGE UNIV PRESS2023Localization errors of the stochastic heat equation
In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...
EPFL2022Bootstrapping mixed correlators in N=4 super Yang-Mills
Andrea Manenti, Alessandro Vichi
We perform a numerical bootstrap study of the mixed correlator system containing the half-BPS operators of dimension two and three in N = 4 Super Yang-Mills. This setup improves on previous works in the literature that only considered single correlators of ...
SPRINGER2021A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties
Alfio Quarteroni, Ondine Gabrielle Chanon
In this paper, we carry out a systematic comparison between the theoretical properties of Spectral Element Methods and NURBS-based Isogeometric Analysis in its basic form, that is in the framework of the Galerkin method, for the approximation of the Poisso ...
SPRINGER/PLENUM PUBLISHERS2020On long time behavior of solutions to nonlinear dispersive equations
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 ...
EPFL2020Type II solutions Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$
Joachim Krieger, Stefano Francesco Burzio
We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on constructed in \cite{KST}, \cite{KS1} are stable along a co-dimension one Lipschitz manifold of data perturbations in a ...
2018Stable high-order randomized cubature formulae in arbitrary dimension
Fabio Nobile, Giovanni Migliorati
We propose and analyse randomized cubature formulae for the numerical integration of functions with respect to a given probability measure μ defined on a domain Γ⊆ℝ^d, in any dimension d. Each cubature formula is conceived to be exact on a given finite dim ...
2018Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry
Frédéric Mila, Pierre Marcel Nataf, Kianna Wan
We present a method for the exact diagonalization of the SU(N) Heisenberg interaction Hamiltonian using Young tableaus to work directly in each irreducible representation of the global SU(N) group. This generalized scheme is applicable to chains consisting ...
2017DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS
Paul Hurley, Matthieu Martin Jean-André Simeoni, Nezihe Merve Gürel
The invention is notably directed to a method for determining positions {pi}i=1,..., N of transducers {Ai}i=1,..., N of an apparatus. The transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or mo ...
2017Methods and apparatuses for versatile beamforming
Paul Hurley, Matthieu Martin Jean-André Simeoni, Giovanni Cherubini
The present invention is directed to methods and apparatuses for beamforming signals or compute beamformed signals. The present approach is to determine a series of beams from or for a set of devices configured for receiving signals from and/or transmittin ...
2017