On an extension of Lesche stability
A. El Kaabouchi, A. Le Mehaute, L. Nivanen, C. J. Ou, A. Q. Wang
TL;DR
This paper introduces a new method for proving Lesche stability of various entropy functionals and demonstrates stability properties of Incomplete q-expectation and Renyi entropy across different parameters.
Contribution
It presents a novel approach to establish Lesche stability for multiple entropy measures and extends stability results for Incomplete q-expectation and Renyi entropy.
Findings
New method for Lesche stability proofs
Proved ta-stability of Incomplete q-expectation and Renyi entropy for specific q ranges
Established ta-stability of Incomplete q-expectation for all ta 1
Abstract
In this paper, we give a new method for proving the Lesche stability of several functionals(Incomplete entropy, Tsallis entropy, \kappa - entropy, Quantum-Group entropy). We prove also that the Incomplete q - expectation value and Renyi entropy for (0 < q < 1) are \alpha - stable for all (0 <\alpha <= q). Finally, we prove that the Incomplete q - expectation value is \alpha - stable for all 0 <\alpha <=1.
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Taxonomy
TopicsFunctional Equations Stability Results · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems