Parametric Symplectic Jet Interpolation
Rafael B. Andrist, Gaofeng Huang, Frank Kutzschebauch, Josua Schott
TL;DR
This paper proves a parametric jet interpolation theorem for symplectic holomorphic automorphisms of complex Euclidean spaces with parameters in Stein spaces, and provides an example of an unavoidable set for such maps.
Contribution
It introduces a parametric jet interpolation theorem for symplectic automorphisms and constructs an example of an unavoidable set, advancing understanding of symplectic holomorphic dynamics.
Findings
Established a parametric jet interpolation theorem for symplectic automorphisms.
Provided an example of an unavoidable set for symplectic holomorphic maps.
Extended the theory of symplectic automorphisms in complex analysis.
Abstract
We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of with parameters in a Stein space. Moreover, we provide an example of an unavoidable set for symplectic holomorphic maps.
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Taxonomy
TopicsAerodynamics and Acoustics in Jet Flows · Plasma and Flow Control in Aerodynamics · Fluid Dynamics and Turbulent Flows