Publications related to Double-Normal Pairs In Space

On the boundedness of n-folds with κ(X) = n - 1

In this note, we study certain sufficient conditions for a set of minimal klt pairs ( X, triangle) with kappa ( X, triangle) = dim( X ) - 1 to be bounded. ...

European Mathematical Soc-Ems2024

On the constancy theorem for anisotropic energies through differential inclusions

Riccardo Tione

In this paper we study stationary graphs for functionals of geometric nature defined on currents or varifolds. The point of view we adopt is the one of differential inclusions, introduced in this context in the recent papers (De Lellis et al. in Geometric ...

2021

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod

Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreten ess of the set of eigenvalues of the transmission problem and studied their locations. In this paper, we establish ...

2021

Chirok: a post-refinement tool to analyse absolute structure

Philip Pattison

Chirok is software for a post-refinement test of the absolute structure. The software allows a user to calculate a distribution of the measure of chirality based on intensity quotients and linked to the Flack parameter. The distribution is fitted by a set ...

2020

A proof of a sumset conjecture of Erdős

Florian Karl Richter

In this paper we show that every set A ⊂ ℕ with positive density contains B + C for some pair B, C of infinite subsets of ℕ , settling a conjecture of Erdős. The proof features two different decompositions of an arbitrary bounded sequence into a structured ...

2019

EPFL Library Research Data Management Fastguides

Francesco Varrato, Antoine Louis Claude Masson, Eliane Ninfa Blumer, Sitthida Samath, Fantin Reichler, Jérôme Julien Chaptinel

This is a set of 11 1-sheet guides, providing abridged notions, advice and references for quick and practical research data management: #01 Research Data: the basics #02 FAIR Data Principles #03 Cost of Research Data Management #04 File Formats #05 Metadat ...

2019

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Andres Jacinto Ruiz Vargas

We consider sets L = {l(1),..., l(n)} of n labeled lines in general position in R-3, and study the order types of point sets {p(1),..., p(n)} that stem from the intersections of the lines in L with (directed) planes Pi, not parallel to any line of L, that ...

ELSEVIER SCIENCE BV2019

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

Incidences Between Planes Over Finite Fields

In this note, we use methods from spectral graph theory to obtain bounds on the number of incidences between k-planes and h-planes in F-q(d), which generalizes a recent result given by Bennett, Iosevich, and Pakianathan (2014). More precisely, we prove tha ...

AMER MATHEMATICAL SOC2019

On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

Double-Normal Pairs In Space

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On the boundedness of n-folds with κ(X) = n - 1

On the constancy theorem for anisotropic energies through differential inclusions

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Chirok: a post-refinement tool to analyse absolute structure

A proof of a sumset conjecture of Erdős

EPFL Library Research Data Management Fastguides

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Forbidden induced subposets of given height

Incidences Between Planes Over Finite Fields

On some algebraic and extremal problems in discrete geometry

Chirok: a post-refinement tool to analyse absolute structure

On the boundedness of n-folds with κ(X) = n - 1

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

On the constancy theorem for anisotropic energies through differential inclusions

Incidences Between Planes Over Finite Fields

A proof of a sumset conjecture of Erdős

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Forbidden induced subposets of given height

On some algebraic and extremal problems in discrete geometry

EPFL Library Research Data Management Fastguides