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58 papers · 1 filter
Almost Global Existence for 2-D Incompressible Isotropic Elastodynamics
Zhen Lei, Thomas C. Sideris, Yi Zhou
We consider the Cauchy problem for 2-D incompressible isotropic elastodynamics. Standard energy methods yield local solutions on a time interval , for initial data of th…
Random walks on weighted networks
Zhongzhi Zhang, Tong Shan, Guanrong Chen
Random walks constitute a fundamental mechanism for a large set of dynamics taking place on networks. In this article, we study random walks on weighted networks with an arbitrary…
Wideband trapping of light by edge states in honeycomb photonic crystals
Chunfang Ouyang, Dezhuan Han, Fangyuan Zhao +3
We study theoretically light propagations at the zigzag edge of a honeycomb photonic crystal consisting of dielectric rods in air, analogous to graphene. Within the photonic band g…
KAM theorems and open problems for infinite dimensional Hamiltonian with short range
Xiaoping Yuan
Introduce several KAM theorems for infinite dimensional Hamiltonian with short range and discuss the relationship between spectra of linearized operator and invariant tori. Especia…
The GenoChip: A New Tool for Genetic Anthropology
Eran Elhaik, Elliott Greenspan, Sean Staats +13
The Genographic Project is an international effort using genetic data to chart human migratory history. The project is non-profit and non-medical, and through its Legacy Fund suppo…
Inflation in (Super-)renormalizable Gravity
Fabio Briscese, Antonino Marciano, Leonardo Modesto +1
We investigate a (super-)renormalizable and ghost-free theory of gravity, showing that under a natural (exponential) ansatz of the form factor and a suitable truncation it can give…