19 citations
6 papers
On the Existence of Periodic Orbits for the Fixed Homogeneous Circle Problem
C. Azevedo, P. Ontaneda
We prove the existence of some types of periodic orbits for a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous…
Roundness properties of groups
J. -F. Lafont, S. Prassidis
Roundness of metric spaces was introduced by Per Enflo as a tool to study uniform structures of linear topological spaces. The present paper investigates geometric and topological…
Towards Reliable Network Wide Broadcast in Mobile Ad Hoc Networks
Paul Rogers, Nael Abu-Ghazaleh
Network-Wide Broadcast (NWB) is a common operation in Mobile Ad hoc Networks (MANETs) used by routing protocols to discover routes and in group communication operations. NWB is com…
On certain vertex algebras and their modules associated with vertex algebroids
Haisheng Li, Gaywalee Yamskulna
We study the family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple…
Collaborative Storage Management In Sensor Networks
Sameer Tilak, Nael Abu-Ghazaleh, Wendi Heinzelman
In this paper, we consider a class of sensor networks where the data is not required in real-time by an observer; for example, a sensor network monitoring a scientific phenomenon f…
Using Static Charge on Pyroelectric Crystals to Produce Self Focusing Electron and Ion Beams and Transport Through Tubes
James D. Brownridge, Stephen M. Shafroth
Static charge in and on the surface of pyroelectric crystals of LiNbO3 and LiTaO3 in a dilute gas has been shown to ionize gas molecules via electron tunneling. The released electr…