Publications related to Positive real numbers

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

The p-Laplacian problem -del & sdot; ((mu + |del u|(p-2))del u) = f is considered, where mu is a given positive number. An anisotropic a posteriori residual-based error estimator is presented. The error estimator is shown to be equivalent, up to higher ord ...

Walter De Gruyter Gmbh2024

On a Finite-Size Neuronal Population Equation

Tilo Schwalger, Valentin Marc Schmutz, Eva Löcherbach

Population equations for infinitely large networks of spiking neurons have a long tradition in theoret-ical neuroscience. In this work, we analyze a recent generalization of these equations to populations of finite size, which takes the form of a nonlinear ...

SIAM PUBLICATIONS2023

Crossing of the Branch Cut: The Topological Origin of a Universal 2 pi-Phase Retardation in Non-Hermitian Metasurfaces

Olivier Martin, Karim Achouri

Full wavefront control by photonic components requires that the spatial phase modulation on an incoming optical beam ranges from 0 to 2 pi. Because of their radiative coupling to the environment, all optical components are intrinsically non-Hermitian syste ...

WILEY-V C H VERLAG GMBH2023

Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Francesca Bonizzoni, Davide Pradovera

We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz problems. The offline information is computed by means of adaptive finite el ...

2021

First passage sets of the 2D continuum Gaussian free field

Juhan Aru, Titus Lupu

We introduce the first passage set (FPS) of constant level -a of the two-dimensional continuum Gaussian free field (GFF) on finitely connected domains. Informally, it is the set of points in the domain that can be connected to the boundary by a path on whi ...

SPRINGER HEIDELBERG2020

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Zsolt Patakfalvi, Giulio Codogni

The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano varieties. It is conjectured that it yields a polarization on the moduli space of K-poly-stable klt Fano varieties. Proving ampleness of the CM line bundle ...

SPRINGER HEIDELBERG2020

Explicit Conditions on Existence and Uniqueness of Load-Flow Solutions in Distribution Networks

Jean-Yves Le Boudec, Mario Paolone, Andrey Bernstein, Cong Wang

We present explicit sufficient conditions that guarantee the existence and uniqueness of the load-flow solution for distribution networks with a generic topology (radial or meshed) modeled with positive sequence equivalents. In the problem, we also account ...

2018

Embeddings of maximal tori in classical groups over local and global fields

Eva Bayer Fluckiger, Ting-Yu Lee

Embeddings of maximal tori in classical groups over fields of characteristic not 2 are the subject matter of several recent papers. The aim of the present paper is to give necessary and sufficient conditions for such an embedding to exist, when the base fi ...

Turpion Ltd2016

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Positive real numbers

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

On a Finite-Size Neuronal Population Equation

Crossing of the Branch Cut: The Topological Origin of a Universal 2 pi-Phase Retardation in Non-Hermitian Metasurfaces

Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

First passage sets of the 2D continuum Gaussian free field

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Lonely Runner Polyhedra

Explicit Conditions on Existence and Uniqueness of Load-Flow Solutions in Distribution Networks

Simultaneous Approximation of Polynomials

Embeddings of maximal tori in classical groups over local and global fields

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Chat with Graph Search

Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Simultaneous Approximation of Polynomials

Lonely Runner Polyhedra

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

Crossing of the Branch Cut: The Topological Origin of a Universal 2 pi-Phase Retardation in Non-Hermitian Metasurfaces

Embeddings of maximal tori in classical groups over local and global fields

Explicit Conditions on Existence and Uniqueness of Load-Flow Solutions in Distribution Networks

First passage sets of the 2D continuum Gaussian free field

Positivity of the CM line bundle for families of K-stable klt Fano varieties

On a Finite-Size Neuronal Population Equation