Publications related to From space to superspace and back: Superspace Group Finder

Constructing reparameterization invariant metrics on spaces of plane curves

Metrics on shape spaces are used to describe deformations that take one shape to another, and to define a distance between shapes. We study a family of metrics on the space of curves, which includes several recently proposed metrics, for which the metrics ...

Elsevier2014

Incommensurate crystallography without additional dimensions

Philippe Kocian

It is shown that the Euclidean group of translations, when treated as a Lie group, generates translations not only in Euclidean space but on any space, curved or not. Translations are then not necessarily vectors (straight lines); they can be any curve com ...

Wiley-Blackwell2013

Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space

Joachim Krieger

This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on (6+1) and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space. (H) over dot(A)((n-4)/2). Regular ...

Amer Mathematical Soc2013

The perception of potential: interference, dimensionality and knowledge

Leonardo Laurence Impett

This paper presents a system that investigates the sonification of wave interaction in a performance space and its interaction with a live performer – the illumination of sonic activity within a real space, in contrast to conventional ALife algorithmic, ev ...

2013

Stripes in the two-dimensional t-J model with infinite projected entangled-pair states

We simulate the t-J model in two dimensions by means of infinite projected entangled-pair states (iPEPS) generalized to arbitrary unit cells, finding results similar to those previously obtained by the density-matrix renormalization group (DMRG) for wide l ...

2011

Local nonreflecting boundary condition for time-dependent multiple scattering

Imbo Sim

Starting from from a high-order local nonreflecting boundary condition (NBC) for single scattering [25], we derive a local NBC for time-dependent multiple scattering problems in three space dimensions, which is completely local both in space and time. To d ...

2011

Isogeometric analysis in electromagnetics: B-splines approximation

Annalisa Buffa, Rafael Vazquez Hernandez

We introduce a new discretization scheme for Maxwell equations in two space dimension. Inspired by the new paradigm of Isogeometric analysis introduced in Hughes et al. (2005) [16], we propose an algorithm based on the use of bivariate B-splines spaces sui ...

2010

Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions

Feride Tiglay

We study a family of equations defined on the space of tensor densities of weight lambda on the circle and introduce two integrable PDE. One of the equations turns out to be closely related to the inviscid Burgers equation while the other has not been iden ...

Springer Verlag2010

Crystal Structure and Optical and Magnetic Properties of Pr2(MoO4)3

Gervais Chapuis, Alla Arakcheeva, Philip Pattison, Dmitry Logvinovich

Praseodymium molybdate Pr2(MoO4)3 was synthesized using the standard ceramic route. The crystal structure of the material has been successfully solved in superspace group I2/b(Rβ0)00 with lattice constants a = 5.30284(4), b = 5.32699(3), c = 11.7935(1)A° , ...

2010

Validating the model of a (3+1)-dimensional incommensurately modulated structure as generator of a family of compounds for the Eu2(MoO4)3 scheelite structure

Gervais Chapuis, Alla Arakcheeva, Philip Pattison, Jorge Martinez Garcia

The previously proposed model postulating that the incommensurately modulated KNd(MoO

_4

)

_2

structure can act as a generator of the scheelite family members is validated here by refining the crystal structure of europium molybdate, Eu

_2

(MoO

_4

)

_3

. ...

2009

From space to superspace and back: Superspace Group Finder

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Constructing reparameterization invariant metrics on spaces of plane curves

Incommensurate crystallography without additional dimensions

Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space

The perception of potential: interference, dimensionality and knowledge

Stripes in the two-dimensional t-J model with infinite projected entangled-pair states

Local nonreflecting boundary condition for time-dependent multiple scattering

Isogeometric analysis in electromagnetics: B-splines approximation

Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions

Crystal Structure and Optical and Magnetic Properties of Pr2(MoO4)3

Validating the model of a (3+1)-dimensional incommensurately modulated structure as generator of a family of compounds for the Eu2(MoO4)3 scheelite structure

Stripes in the two-dimensional t-J model with infinite projected entangled-pair states

Constructing reparameterization invariant metrics on spaces of plane curves

Incommensurate crystallography without additional dimensions

Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space

The perception of potential: interference, dimensionality and knowledge

Validating the model of a (3+1)-dimensional incommensurately modulated structure as generator of a family of compounds for the Eu2(MoO4)3 scheelite structure

Local nonreflecting boundary condition for time-dependent multiple scattering

Isogeometric analysis in electromagnetics: B-splines approximation

Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions

Crystal Structure and Optical and Magnetic Properties of Pr2(MoO4)3