Spectral Asymptotics for Krein-Feller-Operators with respect to \boldsymbol V-Variable Cantor Measures

2018/08/20 by Lenon Minorics, Minorics, Lenon Alexander · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Mathematical Dynamics and Fractals #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1808.06950

openalex publication_date 2018/08/20 · openalex created_date 2018/08/31 · openalex updated_date 2026/07/28

Abstract

We study the limiting behavior of the Dirichlet and Neumann eigenvalue counting function of generalized second order differential operators (d)/(d μ) (d)/(d x), where μ is a finite atomless Borel measure on some compact interval [a,b]. Therefore, we firstly recall the results of the spectral asymptotics for these operators received so far. Afterwards, we make a proposition about the convergence behavior for so called random V-variable Cantor measures.

Citations

• Spectral Asymptotics for Krein-Feller-Operators with respect to Random\n Recursive Cantor Measures

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• Stochastic Heat Equations defined by Fractal Laplacians on Cantor-like Sets

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