Lipschitz contact equivalence and real analytic functions

2018/01/17 by Lev Birbrair, Rodrigo Mendes, Birbrair, Lev +1 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Functional Equations Stability Results #Metric Geometry (math.MG) #Optimization and Variational Analysis #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1801.05842

openalex publication_date 2018/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the properties of the a complete invariant of the analytic function of two variables with respect to the Lipschitz contact equivalence. This invariant is called pizza. We prove that the pizza of real analytic functions has some continuity properties.

Citations

• Lipschitz contact equivalence of function germs in ℝ²

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