On the average uncertainty for systems with nonlinear coupling

Kenric P. Nelson, Sabir Umarov, Mark Kon

Type: Article

Publication Date: 2016-10-27

Citations: 16

DOI: https://doi.org/10.1016/j.physa.2016.09.046

View Publication

Download PDF

Locations

Physica A Statistical Mechanics and its Applications - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the average uncertainty for systems with nonlinear coupling	2015	Kenric P. Nelson Sabir Umarov Mark Kon
+	On the average uncertainty for systems with nonlinear coupling	2015	Kenric P. Nelson Sabir Umarov Mark Kon
+ PDF Chat	Open Problems within Nonextensive Statistical Mechanics	2024	Kenric P. Nelson
+ PDF Chat	A General Theory to Estimate Information Transfer in Nonlinear Systems	2023	Carlos Pires Stéphane Vannitsem David Docquier
+	Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy	2010	В. С. Анищенко Sergey Astakhov Т. Е. Вадивасова
+	Tsallis Entropy Based q -Gaussian Density Model and Its Application in Measurement Accuracy Improvement	2017	Xuan Xie Xifeng Li Qizhong Zhou Yongle Xie
+	A general theory to estimate Information transfer in nonlinear systems	2023	Carlos Pires David Docquier Stéphane Vannitsem
+	Open Problems within Nonextensive Statistical Mechanics	2024	Kenric P. Nelson
+	Analysis and Application of Multiple-Precision Computation and Round-off Error for Nonlinear Dynamical Systems	2006	王鹏飞黄刚王在志
+	A general theory to estimate Information transfer in nonlinear systems	2023	Carlos Pires David Docquier Stéphane Vannitsem
+	Research on Generalized Uncertainty Principles	2016	Xiaotong Wang Guanlei Xu Lijia Zhou Limin Shao Xiaogang Xu
+	Research on Generalized Uncertainty Principles	2016	孝通王
+	Fisher Information and Uncertainty Principle for Skew-Gaussian Random Variables	2021	Javier E. Contreras‐Reyes
+	Generalized uncertainty relation between thermodynamic variables in quantum thermodynamics	2021	Z. Abuali F. H. Kamin R. J. S. Afonso Diogo O. Soares-Pinto S. Salimi
+	The uncertainty measure for q-exponential distribution function	2010	Congjie Ou Aziz El Kaabouchi Qiuping A. Wang Jincan Chen
+	The Relationship between Tsallis Statistics, the Fourier Transform, and Nonlinear Coupling	2008	Kenric P. Nelson Sabir Umarov
+ PDF Chat	Entropy and Divergence Associated with Power Function and the Statistical Application	2010	Shinto Eguchi Shogo Kato
+	On generalized Tsallis entropic uncertainty relations	2013	Steeve Zozor G. M. Bosyk M. Portesi
+	Local Entropy Statistics for Point Processes	2019	Daniel E. Clark
+ PDF Chat	Uncertainty, joint uncertainty, and the quantum uncertainty principle	2016	Varun Narasimhachar Alireza Poostindouz Gilad Gour

Works That Cite This (10)

Action	Title	Year	Authors
+	Radial distribution function within the framework of the Tsallis statistical mechanics	2018	Seyed Mohammad Amin Tabatabaei Bafghi Mohammad Kamalvand Ali Morsali Mohammad Reza Bozorgmehr
+ PDF Chat	Use of the geometric mean as a statistic for the scale of the coupled Gaussian distributions	2018	Kenric P. Nelson Mark Kon Sabir Umarov
+ PDF Chat	Independent Approximates enable closed-form estimation of heavy-tailed distributions	2022	Kenric P. Nelson
+ PDF Chat	Assessing Probabilistic Inference by Comparing the Generalized Mean of the Model and Source Probabilities	2017	Kenric P. Nelson
+	Independent Approximates enable closed-form parameter estimation of heavy-tailed distributions.	2020	Kenric P. Nelson
+ PDF Chat	Coupled VAE: Improved Accuracy and Robustness of a Variational Autoencoder	2022	Shichen Cao Jingjing Li Kenric P. Nelson Mark Kon
+ PDF Chat	A three-state opinion formation model for financial markets	2021	Bernardo J. Zubillaga André L. M. Vilela Chao Wang Kenric P. Nelson H. Eugene Stanley
+	Opinion dynamics in financial markets via random networks	2022	Mateus F. B. Granha André L. M. Vilela Chao Wang Kenric P. Nelson H. Eugene Stanley
+	Reduced Perplexity: A simplified perspective on assessing probabilistic forecasts	2016	Kenric P. Nelson
+ PDF Chat	Open Problems within Nonextensive Statistical Mechanics	2024	Kenric P. Nelson

Works Cited by This (27)

Action	Title	Year	Authors
+	Introduction to Nonextensive Statistical Mechanics	2009	Constantino Tsallis
+	Student's t- and r-distributions: Unified derivation from an entropic variational principle	1997	André M. C. Souza Constantino Tsallis
+ PDF Chat	Nonequilibrium Probabilistic Dynamics of the Logistic Map at the Edge of Chaos	2002	Ernesto P. Borges Constantino Tsallis Garín F. Janampa Añaños Paulo Murilo Castro de Oliveira
+	Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients	2007	Th. Oikonomou
+ PDF Chat	Interpretation of the Nonextensivity Parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">q</mml:mi></mml:math>in Some Applications of Tsallis Statistics and Lévy Distributions	2000	G. Wilk Z. Włodarczyk
+ PDF Chat	On multivariate generalizations of the q-central limit theorem consistent with nonextensive statistical mechanics	2007	Sabir Umarov Constantino Tsallis Sumiyoshi Abe Hans Herrmann P. Quarati Andrea Rapisarda Constantino Tsallis
+ PDF Chat	Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics	2005	G. Kaniadakis M. Lissia A.M. Scarfone
+ PDF Chat	A possible deformed algebra and calculus inspired in nonextensive thermostatistics	2004	Ernesto P. Borges
+ PDF Chat	Nonlinear statistical coupling	2010	Kenric P. Nelson Sabir Umarov
+	Generalization of symmetric $\alpha$-stable Lévy distributions for $q>1$	2009	Sabir Umarov Constantino Tsallis Murray Gell‐Mann Stanly Steinberg