Cross sections to semi-flows on 2-complexes
نویسندگان
چکیده
منابع مشابه
Reconstructing Cell Complexes From Cross-sections
Many interesting segmentations take the form of cell complexes. We present a method to infer a 3D cell complex from of a series of 2D cross-sections. We restrict our attention to the class of complexes whose duals resemble triangulations. This class includes microstructures of polycrystalline materials, as well as other cellular structures found in nature. Given a prescribed matching of 2D cell...
متن کاملCross Sections for Geodesic Flows and Α-continued Fractions
We adjust Arnoux’s coding, in terms of regular continued fractions, of the geodesic flow on the modular surface to give a cross section on which the return map is a double cover of the natural extension for the α-continued fractions, for each α ∈ (0, 1]. The argument applies in wide generality, as we illustrate with its application to the Rosen continued fractions and their recently introduced ...
متن کاملFlows on Simplicial Complexes
Given a graph G, the number of nowhere-zero Zq-flows φG(q) is known to be a polynomial in q. We extend the definition of nowhere-zero Zq-flows to simplicial complexes ∆ of dimension greater than one, and prove the polynomiality of the corresponding function φ∆(q) for certain q and certain subclasses of simplicial complexes. Résumé. Et́ant donné une graphe G, on est connu que le nombre de Zq-flot...
متن کاملAdaptive Simplicial Grids from Cross-Sections of Monotone Complexes
We study the maintenance of a simplicial grid or complex under changing density requirements. The proposed method works in any xed dimension and generates grids by projecting cross-sections of a monotone simplicial complex that lives in one dimension higher than the grid. The density of the grid is adapted by locally moving the cross-section up or down along the extra dimension.
متن کاملHilo2k: Transport Cross Sections for Neutron Energies to 2 Gev
INTRODUCTION For neutron energies above 20 MeV, measured doubly differential cross-section data is sparse and most accelerator neutronics calculations are performed using Monte Carlo codes employing highenergy stochastic collision models. Monte Carlo methods are very well suited for analyzing geometrically complex systems. However, often they are computationally expensive when used for accelera...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2003
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385702001177