Semigroups of locally injective maps and transfer operators
Justin R. Peters

TL;DR
This paper investigates the conditions under which semigroups of continuous, surjective, locally injective maps on compact metric spaces admit transfer operators, contributing to the understanding of their dynamical and operator-theoretic properties.
Contribution
It introduces criteria for the existence of transfer operators for semigroups of locally injective maps, expanding the theoretical framework in dynamical systems.
Findings
Established conditions for transfer operator existence
Characterized semigroups with transfer operators
Linked local injectivity to operator properties
Abstract
We consider semigroups of continuous, surjective, locally injective maps of a compact metric space, and whether such semigroups admit a transfer operator.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Topology and Set Theory · Functional Equations Stability Results
