Non-Autonomous Spatial-Temporal Differentiation Theorems for Group Endomorphisms
Idris Assani, Aidan Young
TL;DR
This paper generalizes spatial-temporal differentiation theorems to non-autonomous systems, analyzing generic behaviors of endomorphisms on compact abelian groups.
Contribution
It introduces a non-autonomous framework for spatial-temporal differentiation and establishes generic behavior results for endomorphisms on compact abelian groups.
Findings
Proves probabilistic and topological genericity of certain behaviors
Extends classical differentiation theorems to non-autonomous settings
Provides new insights into group endomorphism dynamics
Abstract
We introduce a non-autonomous generalization of spatial-temporal differentiations, and prove results about probabilistically and topologically generic behaviors of certain spatial-temporal differentiations generated by endomorphisms of compact abelian metrizable groups.
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Taxonomy
TopicsMathematical Approximation and Integration · Advanced Mathematical Modeling in Engineering · advanced mathematical theories