منابع مشابه
Configuration Spaces for Wildly Ramified Covers
The classification for wildly ramified covers is more mysterious than for tame covers. A natural configuration space — the space of unordered branch points of a cover — for tame covers allows the construction of Hurwitz spaces, and an often very effective theory for families of tame covers. We define invariants generalizing Nielsen classes for Hurwitz families. The result is a configuration spa...
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An optimal transport path may be viewed as a geodesic in the space of probability measures under a suitable family of metrics. This geodesic may exhibit a tree-shaped branching structure in many applications such as trees, blood vessels, draining and irrigation systems. Here, we extend the study of ramified optimal transportation between probability measures from Euclidean spaces to a geodesic ...
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In this paper we propose a novel computational technique to solve the Eikonal equation. The proposed method manages the list of active nodes and iteratively updates the solutions on those nodes until they converge. Nodes are added to or removed from the list based on a convergence measure, but the management of this list does not entail the the extra burden of expensive ordered data structures ...
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Segmentation of regions of interest in an image has important applications in medical image analysis, particularly in computer aided diagnosis. Segmentation can enable further quantitative analysis of anatomical structures. We present efficient image segmentation schemes based on the solution of distinct partial differential equations (PDEs). For each known image region, a PDE is solved, the so...
متن کاملCounting Ramified Coverings and Intersection Theory on Spaces of Rational Functions I (cohomology of Hurwitz Spaces)
The Hurwitz space is a compactification of the space of rational functions of a given degree. The Lyashko–Looijenga map assigns to a rational function the set of its critical values. It is known that the number of ramified coverings of CP by CP with prescribed ramification points and ramification types is related to the degree of the Lyashko–Looijenga map on various strata of the Hurwitz space....
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ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2013
ISSN: 1463-9963
DOI: 10.4171/ifb/297