Publications related to Eigenvalues and eigenvectors

Weyl-type bounds for Steklov eigenvalues

We present upper and lower bounds for Steklov eigenvalues for domains in RN+1 with C-2 boundary compatible with the Weyl asymptotics. In particular, we obtain sharp upper bounds on Riesz-means and the trace of corresponding Steklov heat kernel. The key res ...

EUROPEAN MATHEMATICAL SOC2019

Second-order sensitivity in the cylinder wake: Optimal spanwise-periodic wall actuation and wall deformation

François Gallaire, Edouard Boujo, Andrea Fani

Two-dimensional (2D) flows can be controlled efficiently using spanwise "waviness," i.e., a control (e.g., wall blowing and suction or wall deformation) that is periodic in the spanwise direction. This study tackles the global linear stability of 2D flows ...

AMER PHYSICAL SOC2019

Global eigenvalue distribution of matrices defined by the skew-shift

Marius Christopher Lemm

We consider large Hermitian matrices whose entries are defined by evaluating the exponential function along orbits of the skew-shift

\binom{j}{2} \omega+jy+x \mod 1

for irrational

\omega

. We prove that the eigenvalue distribution of these matrices conv ...

2019

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Kévin Müller

The concept of self-coupling modes, which are eigen-vectors of the roundtrip matrix, is introduced. I investigate its use for the identification and analysis of the resonances taking place in periodic metasurfaces. It also improves the interpolation of the ...

IEEE2019

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Daniel Kressner, Stefano Massei, Alice Cortinovis

The problem of finding a

k\times k

submatrix of maximum volume of a matrix A is of interest in a variety of applications. For example, it yields a quasi-best low-rank approximation constructed from the rows and columns of A. We show that such a submatrix ...

MATHICSE2019

Géo Ingénierie : la promesse de Prométhée

Lyesse Laloui

Prof. Lyesse Laloui parle de séquestration de CO2 à la RTS durant l’émission "Prise de Terre". Cette dernière se branche sur les grands enjeux écologiques et environnementaux de la planète dans ses aspects scientifiques, économiques, sociaux et culturels. ...

2019

Covering convex bodies and the Closest Vector Problem

Moritz Andreas Venzin, Márton Naszódi

We present faster algorithms for the approximate Closest Vector Problem under l_p norms ...

2019

Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials

François Samer Genoud

In this paper, we study local well-posedness and orbital stability of standing waves for a singularly perturbed one-dimensional nonlinear Klein-Gordon equation. We first establish local well-posedness of the Cauchy problem by a fixed point argument. Unlike ...

2019

Crosslingual Document Embedding as Reduced-Rank Ridge Regression

Martin Jaggi, Robert West, Martin Josifoski, Ivan Paskov

There has recently been much interest in extending vector-based word representations to multiple languages, such that words can be compared across languages. In this paper, we shift the focus from words to documents and introduce a method for embedding doc ...

2019

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Florian Karl Richter

We investigate how spectral properties of a measure-preserving system (X, B, mu, T) are reflected in the multiple ergodic averages arising from that system. For certain sequences a :N -> N, we provide natural conditions on the spectrum sigma (T) such that, ...

2019

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Weyl-type bounds for Steklov eigenvalues

Second-order sensitivity in the cylinder wake: Optimal spanwise-periodic wall actuation and wall deformation

Global eigenvalue distribution of matrices defined by the skew-shift

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Géo Ingénierie : la promesse de Prométhée

Covering convex bodies and the Closest Vector Problem

Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials

Crosslingual Document Embedding as Reduced-Rank Ridge Regression

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Global eigenvalue distribution of matrices defined by the skew-shift

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Covering convex bodies and the Closest Vector Problem

Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Crosslingual Document Embedding as Reduced-Rank Ridge Regression

Second-order sensitivity in the cylinder wake: Optimal spanwise-periodic wall actuation and wall deformation

Weyl-type bounds for Steklov eigenvalues

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Géo Ingénierie : la promesse de Prométhée