Evaluation maps, restriction maps, and compactness

Relative Compactness and Product Stable Quotient Maps

relative compactness and product stable quotient maps

compactness theorem of n - harmonic maps

For n ≥ 3, let Ω ⊂ R be a bounded smooth domain and N ⊂ R be a compact smooth Riemannian submanifold without boundary. Suppose that {un} ⊂ W (Ω, N) are weak solutions to the perturbed n-harmonic map equation (1.2), satisfying (1.3), and uk → u weakly in W (Ω, N). Then u is an n-harmonic map. In particular, the space of n-harmonic maps is sequentially compact for the weak-W 1,n topology. §

Stochastic assembly of contig restriction maps

An algorithm is described that takes an ordered set of genomic mapping clones andfragment measurements from a restriction digest of each clone, ana’ stochastically produces a contig restriction map of the clones. This is done by defining a map representation in terms of those pairs of fragments that coincide in the map. The fragment pairing is performed stochastically according to similarity be...

A model for comparing genomic restriction maps

Many techniques for building genetic physical maps of genomes involve collecting and characterising large numbers of genomic extracts. Errors and uncertainties in the data mean that many plausible maps can ofren be constructedfrom such data. This paperpresents a model, based on minimum message length ptinciples, that can be usedfor representing such maps. The model is designed to handle fragmen...