Publications related to Metrics of constant curvature on a sphere with two conical singularities

Robustness via curvature regularization, and vice versa

Pascal Frossard, Seyed Mohsen Moosavi Dezfooli, Alhussein Fawzi

State-of-the-art classifiers have been shown to be largely vulnerable to adversarial perturbations. One of the most effective strategies to improve robustness is adversarial training. In this paper, we investigate the effect of adversarial training on the ...

2018

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

Bend translation in multimode fiber imaging

Demetri Psaltis, Christophe Moser, Damien Claude-Marie Loterie

Light propagation in multimode fibers is typically assumed to be extremely sensitive to changes in geometry. We study here a particular configuration where an S-shaped bend is translated between two sections of fiber. In this sliding bend configuration, we ...

Optical Soc Amer2017

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members

Katrin Beyer, João Saraiva Esteves Pacheco de Almeida, Danilo Tarquini

Distributed plasticity beam elements are commonly used to evaluate limit state demands for performance based analysis of reinforced concrete (RC) structures. Strain limits are often preferred to drift limits since they directly relate to damage and are the ...

Wiley-Blackwell2017

From wrinkling to global buckling of a ring on a curved substrate

Pedro Miguel Nunes Pereira de Almeida Reis

We present a combined analytical approach and numerical study on the stability of a ring bound to an annular elastic substrate, which contains a circular cavity. The system is loaded by depressurizing the inner cavity. The ring is modeled as an Euler-Berno ...

Elsevier2016

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Pedro Miguel Nunes Pereira de Almeida Reis

We investigate the influence of curvature and topology on crystalline dimpled patterns on the surface of generic elastic bilayers. Our numerical analysis predicts that the total number of defects created by adiabatic compression exhibits universal quadrati ...

American Physical Society2016

Stability of stationary wave maps from a curved background to a sphere

Sohrab Mirshams Shahshahani

We study time and space equivariant wave maps from

M \times \mathbb{R} \rightarrow S^2

, where

M

is dieomorphic to a two dimensional sphere and admits an action of

SO(2)

by isometries. We assume that metric on

M

can be written as $dr^2+f^2(r)d\theta ...

2016

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Daniele Mari, Arnaud Comment, Riccardo Balzan, Alessandro Luigi Sellerio

Packings of granular materials are complex systems consisting of large sets of particles interacting via contact forces. Their internal structure is interesting for several theoretical and practical reasons, especially when the model system consists in a l ...

Springer Verlag2015

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Martins Bruveris, Martin Bauer

This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism group and the space of Riemannian metrics. We discuss the Riemannian metrics th ...

Springer Verlag2014

Contact Angle at the Leading Edge Controls Cell Protrusion Rate

László Forró, Jean-Jacques Meister, Niccolo Piacentini, Chiara Gabella, Sylvia Jeney, Elena Bertseva, Alicia Carine Bornert

Plasma membrane tension and the pressure generated by actin polymerization are two antagonistic forces believed to define the protrusion rate at the leading edge of migrating cells [1-5]. Quantitatively, resistance to actin protrusion is a product of membr ...

Elsevier2014

Metrics of constant curvature on a sphere with two conical singularities

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Robustness via curvature regularization, and vice versa

Concentration compactness for critical radial wave maps

Bend translation in multimode fiber imaging

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members

From wrinkling to global buckling of a ring on a curved substrate

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Stability of stationary wave maps from a curved background to a sphere

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Contact Angle at the Leading Edge Controls Cell Protrusion Rate

Concentration compactness for critical radial wave maps

Bend translation in multimode fiber imaging

Robustness via curvature regularization, and vice versa

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members

From wrinkling to global buckling of a ring on a curved substrate

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Stability of stationary wave maps from a curved background to a sphere

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Contact Angle at the Leading Edge Controls Cell Protrusion Rate

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings