Speaker: Velimir Ilić (Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia)
Title: Generalized entropies: from information theory to black hole thermodynamics"
Date: 14 April 2023, 14:00
Place: Building 3, Meeting room
Abstract
The aim of this talk is to present a comprehensive classification of the main entropic forms introduced in the last fifty years within statistical physics and information theory and to review the fundamental questions about the meaning of information. We will consider axiomatic approaches to the characterization of various generalizations of the Boltzmann-Gibbs-Shannon entropy, such as the Rényi, the Tsallis, the Sharma-Mittal, and the Sharma-Mittal-Taneja entropies, as well as the more general class of pseudo-additive entropies with a well-defined thermodynamic and information theoretic structure. Finally, we will point out possible applications of generalized entropies in black hole thermodynamics and we will discuss the challenges in experimental confirmation of the corresponding second law of thermodynamics using gravitational wave data and Bayesian inference.
References:
[1] Ilić, V. M., Scarfone, A. M., & Wada, T. (2019). Equivalence between four versions of thermostatistics based on strongly pseudoadditive entropies. Physical Review E, 100(6), 062135.
[2] Ilić, V. M., Korbel, J., Gupta, S., & Scarfone, A. M. (2021). An overview of generalized entropic forms. Europhysics Letters, 133(5), 50005.
[3] Ilić, V. M. (2023). Introduction to Bayesian networks for gravitational wave scientists. 4th Training School on Gravitational Waves, Geophysics and Machine Learning Aristotle University of Thessaloniki, Greece, 28 March, 2023.
