منابع مشابه
Generic critical points of normal matrix ensembles
The evolution of the degenerate complex curve associated with the ensemble at a generic critical point is related to the finite time singularities of Laplacian Growth. It is shown that the scaling behavior at a critical point of singular geometry x ∼ y is described by the first Painlevé transcendent. The regularization of the curve resulting from discretization is discussed. PACS numbers: 05.30...
متن کاملCritical Points of Functions on Singular Spaces
We compare and contrast various notions of the “critical locus” of a complex analytic function on a singular space. After choosing a topological variant as our primary notion of the critical locus, we justify our choice by generalizing Lê and Saito’s result that constant Milnor number implies that Thom’s af condition is satisfied.
متن کاملFixed Points of Univalent Functions Ii
For a closed nowhere dense subset C of ∂D a bounded univalent holomorphic function f on D is found such that C equals the cluster set of its fixed points.
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1978
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093888205