Simplex meshes are simply connected meshes that are topologically dual of triangulations In a pre vious work we have introduced the simplex mesh representation for performing recognition of par tially occluded smooth objects In this paper we present a physically based approach for recovering three dimensional objects based on the geometry of simplex meshes Elastic behavior is modelled by lo cal...

Simplex meshes are simply connected meshes that are topologically dual of triangulations. In a previous work, we have introduced the simplex mesh representation for performing recognition of partially occluded smooth objectss3]. In this paper, we present a physically-based approach for recovering three-dimensional objects, based on the geometry of simplex meshes. Elastic behavior is modelled by...

We study actions of discrete groups on Hilbert C-modules induced from topological actions on compact Hausdorff spaces. We prove that amenable actions give rise to proper affine isometric actions, provided there is a quasiinvariant measure which is sufficiently close to being invariant in a certain sense. This provides conditions on non-amenability of actions. The notion of amenability of group ...

Abstract Maximizing the scattering of visible light within disordered nano-structured materials is essential for commercial applications such as brighteners, while also testing our fundamental understanding light-matter interactions. The progress in research field has been hindered by lack how different structural features contribute to properties. Here we undertake a systematic investigation c...

We consider arbitrary orderings of the edges entering each vertex of the (downward directed) Pascal graph. Each ordering determines an adic (Bratteli-Vershik) system, with a transformation that is defined on most of the space of infinite paths that begin at the root. We prove that for every ordering the coding of orbits according to the partition of the path space determined by the first three ...

We show that every amenable group with a locally invariant partial order has a left-invariant total order (and is therefore locally indicable). We also show that if a group G admits a left-invariant total order, and H is a locally nilpotent subgroup of G, then a left-invariant total order on G can be chosen so that its restriction to H is both left-invariant and right-invariant. Both results fo...

For the Su–Schrieffer–Heeger (SSH) model on two-dimensional square lattice, two third nearest neighbor hoppings which preserve chiral symmetry are introduced. Like case of one dimension, longer-range hopping can drive topological transitions and leads to larger invariant (vectored Berry phase for dimensional SSH model). We obtain boundaries diagrams from winding pattern ρ(kl) Bloch Hamiltonian....

We consider an Axiom A diffeomorphism or a Markov map of an interval and the invariant set Ω∗ of orbits which never falls into a fixed hole. We study various aspects of the symbolic representation of Ω∗ and of its nonwandering set Ω. Our results are on the cardinality of the set of topologically transitive components of Ω and their structure. We also prove that Ω∗ is generically a subshift of f...

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topologi-cal current of this field appears as an additional source for the electromagnetic field.The topological charge therefore acts physically as an electric charge. The topologically nontrivial, electrically charged, sector contains massless states orthogonal to the vacuum...