Bose-Burton type theorems for finite Grassmannians

Implicit iteration approximation for a‎ ‎finite family of asymptotically quasi-pseudocontractive type‎ ‎mappings

In this paper‎, ‎strong convergence theorems of Ishikawa type implicit iteration‎ ‎process with errors for a finite family of asymptotically‎ ‎nonexpansive in the intermediate sense and asymptotically‎ ‎quasi-pseudocontractive type mappings in normed linear spaces are‎ ‎established by using a new analytical method‎, ‎which essentially‎ ‎improve and extend some recent results obtained by Yang‎ ‎...

Gromov-Witten invariants on Grassmannians

We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give symplectic and orthogonal analogues of this result; in these cases the two-step flag variety is replaced by a sub-maximal isotropic Grassmannian. Our theorems are applied, in type A, to formulate a conjectural quantum Litt...

Convergence Theorems For Two Finite Families of Uniformly L-Lipschitzian Mappings

A Gentle Introduction to Grassmannians

We introduce the Grassmannian G(k, V ) as a set, and via the tools of multilinear algebra, the Plücker embedding and the Plücker coordinates on G(k, V ). We also prove some basic theorems about the Grassmannians and attempt to familiarize the reader with some of the fundamental ideas and language needed to work with the Grassmannian and its subvarieties.

Global Dynamics of Bose-Einstein Condensation for a Model of the Kompaneets Equation

The Kompaneets equation describes a field of photons exchanging energy by Compton scattering with the free electrons of a homogeneous, isotropic, non-relativistic, thermal plasma. This paper strives to advance our understanding of how this equation captures the phenomenon of Bose-Einstein condensation through the study of a model equation. For this model we prove existence and uniqueness theore...