Fractal Mehler kernels and nonlinear geometric flows
Nicola Garofalo
TL;DR
This paper introduces a new family of Mehler kernels parameterized by two variables, linking them to fractal-dimension Baouendi-Grushin flows and a nonlinear geometric PDE, and poses open questions.
Contribution
It presents a novel two-parameter family of Mehler kernels and establishes their connection to fractal geometric flows and nonlinear equations.
Findings
New two-parameter Mehler kernels introduced
Connection established with fractal Baouendi-Grushin flows
Links identified with nonlinear geometric equations
Abstract
In this paper we introduce a two-parameter family of Mehler kernels and connect them to a class of Baouendi-Grushin flows in fractal dimension. We also highlight a link with a geometric fully nonlinear equation and formulate two questions.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometry and complex manifolds · Geometric Analysis and Curvature Flows