ion of Thesis Covering Trees: New Variational Bounds for MAP Estimation in Markov

The Prym map of type (g, n, r) associates to every cyclic covering of degree n of a curve of genus g, ramified at a reduced divisor of degree r, the corresponding Prym variety. We show that the corresponding map of moduli spaces is generically finite in most cases. From this we deduce the dimension of the image of the Prym map.

The behavior of various types of noncompact covering properties such as paracompactness, metacompactness, subparacompactness, submetacompactness, etc., are studied under various types of fuzzy mappings such as open map, closed map, perfect map, etc. Moreover the concept of para-Lindelof space is introduced in L-topological spaces and its properties and behavior under maps are obtained.

Genetic maps for two pear cultivars ‘Red Bartlett’ (Pyrus communis L.) and ‘Nanguo pear’ (Pyrus ussuriensis Maxim.) were constructed using SRAP molecular markers. The mapping population consists of 74 F1 individuals derived from the cross of a cultivar ‘Red Bartlett’ with good fruit quality as the female parent and a cultivar ‘Nanguopear’ with good cold tolerance as the male parent. Linkage map...

Yeast artificial chromosome (YAC) clones carrying DNA marker sequences located on the rice genetic map of chromosome 6 were ordered for physical mapping. A total of 122 restriction fragment length polymorphism markers, 16 sequence-tagged site markers, and five random amplified polymorphic DNA markers located, on average, at 0.9-cM intervals, were used for YAC clone screening by colony/Southern ...

We generalize the concept of global moment maps to local moment maps whose different branches are labelled by the elements of the fundamental group of the underlying symplectic manifold. These branches can be smoothly glued together by employing fundamental-group-valued C̆ech cocycles on the phase space. In the course of this work we prove a couple of theorems on the liftability of group actions...

Fix a Riemannian surface of negative curvature (N, h), and a differentiable surface M g of the same genus g that will host various structures. Also fix a diffeomorphism f0 : M → N . It is well known ([ES], [A], [SY1], [Sa]) that to every complex structure σ on M , there is a unique harmonic diffeomorphism f(σ) : M(σ) → (N, h) homotopic to f0 : M → N ; one is led to consider what other, possibly...

We show that the class of separable morphisms in the sense of G. Janelidze and W. Tholen in the case of Galois structure of second order coverings of simplicial sets due to R. Brown and G. Janelidze coincides with the class of covering maps of simplicial sets. Introduction Separable morphisms were introduced in [3] by A. Carboni and G. Janelidze for lextensive categories. In the way of [3] one ...

I give a survey about a program which intends to find topological characterizations of a rational map and then use them to study the rigidity problem for rational maps. Thurston started this program by considering critically finite branched coverings and gave a necessary and sufficient combinatorial condition for a critically finite rational maps among all critically finite branched coverings. ...