Concept

Filter (set theory)

Publications associées (8)

Fourier non-uniqueness sets from totally real number fields

Let K be a totally real number field of degree n >= 2. The inverse different of K gives rise to a lattice in Rn. We prove that the space of Schwartz Fourier eigenfunctions on R-n which vanish on the "component-wise square root" of this lattice, is infinite ...

EUROPEAN MATHEMATICAL SOC-EMS2022

Packing the Boolean lattice with copies of a poset

Istvan Tomon

The Boolean lattice (2[n],subset of) is the family of all subsets of [n]={1,MIDLINE HORIZONTAL ELLIPSIS,n}, ordered by inclusion. Let P be a partially ordered set. We prove that if n is sufficiently large, then there exists a packing P of copies of P in (2 ...

WILEY2020

Forbidden induced subposets of given height

Istvan Tomon

Let P be a partially ordered set. The function La* (n, P) denotes the size of the largest family F subset of 2([n]) that does not contain an induced copy of P. It was proved by Methuku and Palvolgyi that there exists a constant C-P (depending only on P) su ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Uniform s-Cross-Intersecting Families

Andrei Kupavskii

In this paper we study a question related to the classical Erdos-Ko-Rado theorem, which states that any family of k-element subsets of the set [n] = {1,..., n} in which any two sets intersect has cardinality at most ((n-1)(k-1)). We say that two non-empty ...

Cambridge Univ Press2017

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

Joachim Krieger

We study global behavior of radial solutions for the nonlinear wave equation with the focusing energy critical nonlinearity in three and five space dimensions. Assuming that the solution has energy at most slightly more than the ground states and gets away ...

2013

Application of a New Sensing Principle for Photoacoustic Imaging of Point Absorbers

Dimitri Nestor Alice Van De Ville, Thierry Blu, Zafer Dogan, Ivana Jovanovic

Photoacoustic tomography (PAT) is a hybrid imaging method, which combines ultrasonic and optical imaging modalities, in order to overcome their respective weaknesses and to combine their strengths. It is based on the reconstruction of optical absorption pr ...

Spie-Int Soc Optical Engineering2013

Precise frequency and bandwidth control of switchable microstrip bandpass filters using diode and microelectro-mechanical system technologies

Julien Perruisseau-Carrier

In this study, two reconfigurable bandpass filters are presented. The first filter is able to switch between WiFi and universal mobile telecommunications (UMTS) transmit band standards. Centre frequency, bandwidth and power specifications are precisely met ...

Institution of Engineering and Technology2012

Handling the Inconsistency of Relative Map Filter

Roland Siegwart

In \cite{martinelli_2004_open_challenges_in}, a version of Relative Map Filter (\RMF) is proposed to solve the simultaneous localization and map building (SLAM) problem. In the \RMF, the map states contain only quantities invariant under shift and rotat ...

2005