Publications related to N-sphere

Geometric ergodicity for some space-time max-stable Markov chains

Max-stable processes are central models for spatial extremes. In this paper, we focus on some space-time max-stable models introduced in Embrechts et al. (2016). The processes considered induce discrete-time Markov chains taking values in the space of cont ...

ELSEVIER SCIENCE BV2019

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Frédérick Matthieu Gusset

Convolutional neural networks (CNNs) are powerful tools in Deep Learning mainly due to their ability to exploit the translational symmetry present in images, as they are equivariant to translations. Other datasets present different types of symmetries (e.g ...

2019

Are Photonic Nanojets Achromatic?

Toralf Scharf, Myun Sik Kim, Michail Symeonidis

In this work we study the evolution of the photonic nanojet (PNJ) phenomenon as the ratio of the sphere's diameter over the illumination wavelength changes, for microspheres with diameters from 2 mu m to 100 mu m. We measure the focal point position by usi ...

SPIE-INT SOC OPTICAL ENGINEERING2019

Normal-Based Interpolating Subdivision For The Geometric Representation Of Deformable Models

Michaël Unser, Anaïs Laure Marie-Thérèse Badoual

We review the normal-based interpolating subdivision scheme proposed in [1]. We show that it allows the user to exactly represent circles/spheres whenever suitable initial data are provided, and we also prove that it enjoys the property of similarity invar ...

IEEE2019

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

On the diametric compression strength test of brittle spherical particles

Andreas Mortensen, Goran Zagar, Václav Pejchal

Diametric compression testing can be used to measure the hoop strength of spherical particles if one uses platens whose deformation behaviour is tailored in a way that allows the particles to sink sufficiently far into the platens before particle fracture ...

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

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

When droplets deform, break up and propel microswimmers

Giacomo Gallino

This thesis investigates the motion and breakup of droplets in low-Reynolds-number flows, focusing on two aspects. In the first part, we study the breakup of droplets in subcritical flow conditions, when there exists a linearly stable solution for the drop ...

EPFL2018

Incidences between points and generalized spheres over finite fields and related problems

Van Thang Pham

Let F-q be a finite field of q elements, where q is a large odd prime power and Q = a(1)x(1)(c1) + ..... + a(d)x(d)(cd) is an element of F-q[x(1) ,...,x(d)], where 2

Walter De Gruyter Gmbh2017

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Geometric ergodicity for some space-time max-stable Markov chains

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Are Photonic Nanojets Achromatic?

Normal-Based Interpolating Subdivision For The Geometric Representation Of Deformable Models

Concentration compactness for critical radial wave maps

On the diametric compression strength test of brittle spherical particles

Heat flows on hyperbolic spaces

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

When droplets deform, break up and propel microswimmers

Incidences between points and generalized spheres over finite fields and related problems

Geometric ergodicity for some space-time max-stable Markov chains

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Are Photonic Nanojets Achromatic?

Normal-Based Interpolating Subdivision For The Geometric Representation Of Deformable Models

On the diametric compression strength test of brittle spherical particles

Heat flows on hyperbolic spaces

Concentration compactness for critical radial wave maps

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

When droplets deform, break up and propel microswimmers

Incidences between points and generalized spheres over finite fields and related problems