In this paper, we study fuzzy substructures in connection withHv-structures. The original idea comes from geometry, especially from thetwo dimensional Euclidean vector space. Using parameters, we obtain a largenumber of hyperstructures of the group-like or ring-like types. We connect,also, the mentioned hyperstructures with the theta-operations to obtain morestrict hyperstructures, as Hv-groups...

In this paper we investigate scale space based structural grouping in images. Our strategy is to detect (relative) critical point sets in scale space, which we consider as an extended image representation. In this way the multi-scale behavior of the original image structures is taken into account and automatic scale space grouping and scale selection is possible. We review a constructive and ef...

Holes and clumps, spontaneously formed in the nonlinear development of a single mode driven by a weakly destabilizing kinetic distribution function in a dissipative medium, were expected to persist for an appropriate collisional time scale. However, Fokker-Planck calculations for the nonlinear system abruptly break down in the course of the calculation for some initial conditions. We nd that th...

1. Introduction. Let S be an oriented closed surface of genus g > 1. A projec-tive structure on S is a maximal system of local coordinates modeled on the Riemann sphere C, whose transition functions are Möbius transformations. For a given pro-jective structure on S, we have a pair (f, ρ) of a local homeomorphism f from the universal cover S of S to C, called a developing map, and a group homomo...

We give a characterization of the complex Euclidean space C n , proving a global Newlander-Nirenberg's theorem on the representability of complex structures close to the standard complex structure on C n. Let M be a smooth real manifold of dimension 2n. An almost complex structure J on M is a tensor field of type (1,1) on M (that is a section of End(T M)) satisfying J 2 = −I. It is called integ...

The amount of data that people and companies store has grown exponentially over the last few years. Storing this information alone is not enough, because in order to make it useful we need to be able to efficiently search inside it. Furthermore, it is highly valuable to keep the historic data of each document stored, allowing to not only access and search inside the newest version, but also ove...

Segmentation of an object space by binary radiation sensors and geometric reference structures is studied in this paper. Given a family of binary radiation sensors and a geometric reference structure, we refer to the set of sensor states induced by a source at point as the signature of . We study the segmentation of an object space into signature cells and prove near-optimal bounds on the numbe...

Introduction. Roughly speaking, a cone structure is a manifold together with a link each of whose component has a cone angle attached. It is a kind of singular manifold structure. If each cone angle is of the form 2π/n, for some integer n, the cone structure becomes an orbifold structure. Unlike an orbifold structure, the cone structure is not a natural concept, but it turns out to be very impo...

– We study a generalization of the one-dimensional disordered Potts model, which exhibits glassy properties at low temperature. The real space properties of inherent structures visited dynamically are analyzed through a decomposition into domains over which the energy is minimized. The size of these domains is distributed exponentially, defining a characteristic length scale which grows when lo...