On the continuity and Lesche stability of Tsallis and Rényi entropies and q-expectation values

2009/10/10 by T. Matolcsi, Matolcsi, T., P. Ván +1
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Financial Risk and Volatility Modeling #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.0910.1918

8 pages

arxiv created 2009/10/10 · openalex publication_date 2009/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the Rényi and Tsallis entropies and the q-expectation values, are continuous and stable if q>1 and are not continuous and instable for uniform finite distributions if q<1.

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