skip to main content


Title: Hyperelliptic graphs and the period mapping on outer space: HYPERELLIPTIC GRAPHS AND THE PERIOD MAPPING ON OUTER SPACE
NSF-PAR ID:
10056071
Author(s) / Creator(s):
 ;  
Publisher / Repository:
Oxford University Press (OUP)
Date Published:
Journal Name:
Journal of Topology
Volume:
11
Issue:
1
ISSN:
1753-8416
Page Range / eLocation ID:
221 to 256
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. null (Ed.)
  2. null (Ed.)
    Abstract While solar power systems have offered a wide variety of electricity generation approaches including photovoltaics, solar thermal power systems, and solar thermoelectric generators, the ability to generate electricity at both the daytime and nighttime with no necessity of energy storage remains challenging. Here, we propose and verify an environment-friendly, sustainable, and cost-effective strategy of harvesting solar energy by solar heating during the daytime and harnessing the coldness of the outer space through radiative cooling to produce electricity at night using a commercial thermoelectric module. It enables electricity generation for 24 h a day. We experimentally demonstrate a peak power density of 37 mW/m $$^2$$ 2 at night and a peak value of 723 mW/m $$^2$$ 2 during the daytime. A theoretical model that accurately predicts the performance of the device is developed and validated. The feature of 24-h electricity generation shows great potential energy applications of off-grid and battery-free lighting and sensing. 
    more » « less
  3. Abstract In this article, we propose an Outer space analog for the principal stratum of the unit tangent bundle to the Teichmüller space ${\mathcal{T}}(S)$ of a closed hyperbolic surface $S$. More specifically, we focus on properties of the geodesics in Teichmüller space determined by the principal stratum. We show that the analogous Outer space “principal” periodic geodesics share certain stability properties with the principal stratum geodesics of Teichmüller space. We also show that the stratification of periodic geodesics in Outer space exhibits some new pathological phenomena not present in the Teichmüller space context. 
    more » « less