Publications related to Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Polarization dependence of angle-resolved photoemission with submicron spatial resolution reveals emerging one-dimensionality of electrons in NbSe3

Marco Grioni, Helmuth Berger, Emmanouil Frantzeskakis, Miguel Angel Valbuena

In materials with nearly commensurate band filling the electron liquid may spontaneously separate into components with distinct properties, yielding complex intra- and interunit cell ordering patterns and a reduced dimensionality. Polarization-dependent an ...

AMER PHYSICAL SOC2019

Methods and apparatus for three-dimensional fabrication by tomographic back projections

Christophe Moser, Paul Delrot, Damien Claude-Marie Loterie

A method for producing a three-dimensional object comprising computing a sequence of back-projections describing the three-dimensional object to be formed from different orientation angles of said object, defining a sequence of patterns of light using said ...

2019

Concentration compactness for critical radial wave maps

Joachim Krieger, Elisabetta Chiodaroli

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a ...

2018

Heat flows on hyperbolic spaces

Marius Christopher Lemm

In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere Sn−1,n≥3, can be extended to the n-dimensional hyperbolic space such that the heat f ...

2018

Methods 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

DETERMINING 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 ...

2017

Dimensional Crossover in a Charge Density Wave Material Probed by Angle-Resolved Photoemission Spectroscopy

Matthias Wolf, Helmuth Berger, Christophe Berthod

High-resolution angle-resolved photoemission spectroscopy data reveal evidence of a crossover from one-dimensional (1D) to three-dimensional (3D) behavior in the prototypical charge density wave (CDW) material NbSe3. In the low-temperature 3D regime, gaps ...

Amer Physical Soc2017

From Tarski's Plank Problem to Simultaneous Approximation

János Pach, Andrei Kupavskii

A slab (or plank) is the part of the d-dimensional Euclidean space that lies between two parallel hyperplanes. The distance between the these hyperplanes is called the width of the slab. It is conjectured that the members of any infinite family of slabs wi ...

Mathematical Assoc Amer2017

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Nicola Marzari, Marco Gibertini, Thibault Daniel Pierre Sohier

We investigate the long-wavelength dispersion of longitudinal and transverse optical phonon modes in pillar two-diinensional materials, mriltilayers, and their heterostructures. Using analytical models and density-functional perturbation theory in a two-di ...

Amer Chemical Soc2017

Small data global regularity for half-wave maps

Joachim Krieger

We formulate the half-wave maps problem with target

S^2

and prove global regularity in sufficiently high spatial dimensions for a class of small critical data in Besov spaces. ...

2017

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

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Polarization dependence of angle-resolved photoemission with submicron spatial resolution reveals emerging one-dimensionality of electrons in NbSe3

Methods and apparatus for three-dimensional fabrication by tomographic back projections

Concentration compactness for critical radial wave maps

Heat flows on hyperbolic spaces

Methods and apparatuses for versatile beamforming

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

Dimensional Crossover in a Charge Density Wave Material Probed by Angle-Resolved Photoemission Spectroscopy

From Tarski's Plank Problem to Simultaneous Approximation

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Small data global regularity for half-wave maps

Polarization dependence of angle-resolved photoemission with submicron spatial resolution reveals emerging one-dimensionality of electrons in NbSe3

Methods and apparatus for three-dimensional fabrication by tomographic back projections

Concentration compactness for critical radial wave maps

Heat flows on hyperbolic spaces

Dimensional Crossover in a Charge Density Wave Material Probed by Angle-Resolved Photoemission Spectroscopy

Small data global regularity for half-wave maps

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Methods and apparatuses for versatile beamforming

From Tarski's Plank Problem to Simultaneous Approximation

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS