This book addresses some theoretical aspects of semisupervised learning (SSL). The book
is organized as a collection of different contributions of authors who are experts on this topic …

We define Sobolev space W 1, p for 1< p≤∞ on an arbitrary metric space with finite
diameter and equipped with finite, positive Borel measure. In the Euclidean case it coincides …

Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
Page 1 Nonlinear Theory of Defects in Nematic Liquid Crystals; Phase Transition and Flow …

This accessible introduction to harmonic map theory and its analytical aspects, covers recent
developments in the regularity theory of weakly harmonic maps. The book begins by …

This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry,
held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on …

In an interesting recent paper [12], F. HI~ LEIN has shown that any weakly harmonic
mapping from a two-dimensional surface into a sphere is smooth. I present here a kind of …

The problem of density of smooth maps between two compact manifolds M n and N k was
first considered by Eells and Lemaire ([EL]). If p> dimM", then WI'P~ C (by the Sobolev …

We consider the classification problem on a finite set of objects. Some of them are labeled,
and the task is to predict the labels of the remaining unlabeled ones. Such an estimation …

AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

We consider the problem of minimizing variational integrals defined on nonlinear Sobolev
spaces of competitors taking values into the sphere. The main novelty is that the underlying …