The Relationship between Tsallis Statistics, the Fourier Transform, and Nonlinear Coupling

Kenric P. Nelson, Sabir Umarov

Type: Preprint

Publication Date: 2008-01-01

Citations: 7

DOI: https://doi.org/10.48550/arxiv.0811.3777

View

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Open Problems within Nonextensive Statistical Mechanics	2024	Kenric P. Nelson
+	Open Problems within Nonextensive Statistical Mechanics	2024	Kenric P. Nelson
+	The Lambert–Tsallis <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e298" altimg="si16.gif"><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:math> function	2019	G.B. da Silva Rubens Viana Ramos
+ PDF Chat	Geometry of q-Exponential Family of Probability Distributions	2011	Шун-ичи Амари Atsumi Ohara
+ PDF Chat	Nondistributive algebraic structures derived from nonextensive statistical mechanics	2008	Pedro G. S. Cardoso Ernesto P. Borges Thierry Corrêa Petit Lobão Suani T. R. Pinho
+	Green functions based on Tsallis nonextensive statistical mechanics: normalized q-expectation value formulation	2000	E. K. Lenzi R. S. Mendes A. K. Rajagopal
+ PDF Chat	Generalized entropies and logarithms and their duality relations	2012	Rudolf Hanel Stefan Thurner Murray Gell‐Mann
+ PDF Chat	Probabilistic Models with Nonlocal Correlations: Numerical Evidence of Q-Large Deviation Theory	2022	Darío Javier Zamora Constantino Tsallis
+	Nonextensive statistical mechanics and its applications	2001	純義阿部祐幸岡本
+ PDF Chat	Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy	2007	Veit Schwämmle Constantino Tsallis
+	Tsallis nonextensive statistics with normalized q-expectation values: thermodynamical stability and simple illustrations	2000	L. R. da Silva E. K. Lenzi J.S.Andrade Jr J. Mendes Filho
+	Probabilistic Models with Nonlocal Correlations: Numerical Evidence of q-Large Deviation Theory	2022	Darío Javier Zamora Constantino Tsallis
+	Extensive and nonextensive statistical mechanics: Exp and log distribution functions	2023	Abdel Nasser Tawfik Ahmed E. Aboanbar Amira A. Ghoneim
+	The evaluation of Fourier-Bessel transforms in statistical mechanics	1986	José O. Valderrama Germán A. Muñoz Stanley I. Sandler
+ PDF Chat	Nonextensive statistical mechanics: A brief introduction	2004	Constantino Tsallis Edgardo Brigatti
+ PDF Chat	q-distributions in complex systems: a brief review	2009	S. Picoli R. S. Mendes L. C. Malacarne Ricardo Paupitz
+	Gauge freedom of entropies on $q$-Gaussian measures	2020	Hiroshi Matsuzoe Asuka Takatsu
+ PDF Chat	Some properties of generalized Fisher information in the context of nonextensive thermostatistics	2013	Jean‐François Bercher
+ PDF Chat	On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics	2009	Shigeru Furuichi
+ PDF Chat	Principles of statistical mechanics: The energy duality	2008	V. E. Shapiro

Cited by (6)

Action	Title	Year	Authors
+ PDF Chat	Tsallis entropy on fractal sets	2021	Alireza Khalili Golmankhaneh
+ PDF Chat	A Risk Profile for Information Fusion Algorithms	2011	Kenric P. Nelson Brian J. Scannell Herbert Landau
+ PDF Chat	SOME OPEN POINTS IN NONEXTENSIVE STATISTICAL MECHANICS	2012	Constantino Tsallis
+ PDF Chat	Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example	2009	Rudolf Hanel Stefan Thurner C. Tsallis
+ PDF Chat	T. Dauxois’ “Non-Gaussian Distributions Under Scrutiny” Under Scrutiny	2009	Constantino Tsallis
+	T. Dauxois' "Non-Gaussian distributions under scrutiny" under scrutiny	2007	Constantino Tsallis

Citing (15)

Action	Title	Year	Authors
+	Nonextensive statistical mechanics and central limit theorems I—Convolution of independent random variables and q-product	2007	Constantino Tsallis Sı́lvio M. Duarte Queirós Sumiyoshi Abe Hans J. Herrmann P. Quarati Andrea Rapisarda Constantino Tsallis
+ PDF Chat	On a representation of the inverse -transform	2008	Sabir Umarov Constantino Tsallis
+	On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics	2008	Sabir Umarov Constantino Tsallis Stanly Steinberg
+ PDF Chat	A possible deformed algebra and calculus inspired in nonextensive thermostatistics	2004	Ernesto P. Borges
+ PDF Chat	Law of Error in Tsallis Statistics	2005	Hiroki Suyari Makoto Tsukada
+	q-Exponential product-form solution of packet distribution in queueing networks: maximization of Tsallis entropy	2006	Karmeshu Shachi Sharma
+	Introduction to Mathematical Statistics.	1996	Aa Robert V. Hogg Allen T. Craig
+	Generalized Nonadditive Information Theory and Quantum Entanglement	2004	Sumiyoshi Abe
+ PDF Chat	Multiplicative noise: A mechanism leading to nonextensive statistical mechanics	2003	Celia Anteneodo Constantino Tsallis
+	Generalized Thermostatistical Description of Intermittency and Non-extensivity in Turbulence and Financial Markets	2000	Fernando M. Ramos Camilo Rodrigues Neto Reinaldo R. Rosa
+ PDF Chat	Nonextensivity of the cyclic lattice Lotka-Volterra model	2004	G. A. Tsekouras A. Provata Constantino Tsallis
+ PDF Chat	Asymptotically scale-invariant occupancy of phase space makes the entropy <i> S <sub>q</sub> </i> extensive	2005	Constantino Tsallis Murray Gell‐Mann Yuzuru Sato
+ PDF Chat	Factorization and escorting in the game-theoretical approach to non-extensive entropy measures	2006	Flemming Topsøe
+ PDF Chat	A Nonextensive Entropy Approach to Solar Wind Intermittency	2004	M. P. Leubner Z. Vörös
+ PDF Chat	Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere	2005	L. F. Burlaga A. F. Viñas