As a robotic hand grasps an object of unknown shape, the object may slip in the robot’s fingers. If the robot can infer the local shape as the object slips, the robot may be able to readjust its hand and fingers so as to better grasp the object. This paper considers the problem of inferring local contact geometry from passive tactile information. The term “passive” means that the information re...

We prove that a connected, countable dense homogeneous space is n-homogeneous for every n, and strongly 2-homogeneous provided it is locally connected. We also present an example of a connected and countable dense homogeneous space which is not strongly 2-homogeneous. This answers in the negative Problem 136 of Watson in the Open Problems in Topology Book.

We show that the Leech lattice gives a sphere covering which is locally least dense among lattice coverings. We show that a similar result is false for the root lattice E8. For this we construct a less dense covering lattice whose Delone subdivision has a common refinement with the Delone subdivision of E8. The new lattice yields a sphere covering which is more than 12% less dense than the form...

We present an overview of measurements from the PHENIX experiment focusing on soft observables in nucleus-nucleus collisions. The excellent particle identification of the PHENIX detector at low and intermediate transverse momentum provide an extensive set of measurements in nucleus-nucleus collisions and baseline measurements in p+p and d+Au collisions. Thermalized particle spectra, strong elli...

We prove that a topologically generic network (an open and dense set of networks) of three or more inhibitory neurons have periodic behavior with a finite number of limit cycles that persist under small perturbations of the structure of the network. The network is modeled by the Poincaré transformation which is piecewise continuous and locally contractive on a compact region B of a finite dimen...

It is shown that the averaged null energy condition is fulfilled for a dense, translationally invariant set of vector states in any local quantum field theory in twodimensional Minkowski spacetime whenever the theory has a mass gap and possesses an energy-momentum tensor. The latter is assumed to be a Wightman field which is local relative to the observables, generates locally the translations,...

We present a conceptually simple algorithm for dense image point matching between two multi-modal (e.g. color) images. The algorithm is based on the assumption that correct image point matches satisfy locally a particular statistical distribution. Through an iterative evaluation of a local probability measure, global constraints are taken into account and the most likely set of image point matc...

In this paper we propose a technique for topology preserving smoothing of sampled vector fields. In this technique, the vector field data is first converted into a scalar level-set representation. We then locally analyze the dynamic behavior of level-sets by placing geometric primitives in the scalar field and by subsequently distorting these primitives with respect to local variations in this ...