ar X iv : 1 21 0 . 05 71 v 1 [ m at h . M G ] 1 O ct 2 01 2 Well - rounded sublattices and coincidence site lattices

ar X iv : 1 71 0 . 05 37 5 v 1 [ m at h . Q A ] 1 5 O ct 2 01 7 CLASSIFICATION OF SIMPLE KANTOR TRIPLE SYSTEMS

Simple finite dimensional Kantor triple systems are classified in terms of Satake diagrams. We prove that every simple linearly compact Kantor triple system is finite dimensional and provide an explicit presentation of all the classical and exceptional systems.

ar X iv : 1 71 2 . 05 94 9 v 1 [ m at h . M G ] 1 6 D ec 2 01 7 ESTIMATES FOR MOMENTS OF GENERAL MEASURES ON CONVEX BODIES

ar X iv : 1 71 0 . 05 14 0 v 1 [ cs . C C ] 1 4 O ct 2 01 7 On complexity of multidistance graph recognition in R 1 Mikhail Tikhomirov

Let A be a set of positive numbers. A graph G is called an Aembeddable graph in R if the vertices of G can be positioned in R so that the distance between endpoints of any edge is an element of A. We consider the computational problem of recognizing A-embeddable graphs in R1 and classify all finite sets A by complexity of this problem in several natural variations.

ar X iv : g r - qc / 0 21 00 53 v 1 1 7 O ct 2 00 2 STUDY OF THE COINCIDENCES BETWEEN THE GRAVITATIONAL WAVE DETECTORS EXPLORER AND NAUTILUS IN THE YEAR 2001

We report the result from a search for bursts of gravitational waves using data collected by the cryogenic resonant detectors EXPLORER and NAUTILUS during the year 2001, for a total measuring time of 90 days. With these data we repeated the coincidence search performed on the 1998 data (which showed a small coincidence excess) applying data analysis algorithms based on known physical characteri...

ar X iv : m at h / 05 10 48 0 v 1 [ m at h . G M ] 2 2 O ct 2 00 5 On Multi - Metric Spaces ̧

A Smarandache multi-space is a union of n spaces A 1 , A 2 , · · · , A n with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of a multi-metric space are obtained and Banach's fixed-point theorem is generalized in this paper.