Group entropies, correlation laws, and zeta functions

R. N. Mantegna, 2000, Econophysics: Correlation and Complexity in Finance

G. Gallavotti, 1999, Statistical Mechanics: a Short Treatise, 10.1007/978-3-662-03952-6

K. Huang, 1987, Statistical Mechanics, 10.1063/1.3047170

10.1007/BF01016429

10.1073/pnas.0503807102

2010, J. High Energy Phys., 02, 041

10.1103/PhysRevLett.105.022002

C. Tsallis, 2009, Introduction to Nonextensive Statistical Mechanics-Approaching a Complex World

10.2307/1969242

M. Hazewinkel, 1978, Formal Groups and Applications, 10.1090/chel/375

J.-P. Serre, 1992, Lie Algebras and Lie Groups, Lecture Notes in Mathematics, 10.1007/978-3-540-70634-2

V. M. Bukhshtaber, 1971, Usp. Mat. Nauk, 26, 161

F. Hirzebruch, 1978, Topological Methods in Algebraic Geometry

N. Ray, 1986, Stirling and Bernoulli Numbers for Complex Oriented Homology Theory

J–P. Serre, 1966, Courbes Elliptiques et Groupes Formels

P. Tempesta, 2007, Comptes Rendus Acad. Sci. Paris Ser. I, 345, 303, 10.1016/j.crma.2007.05.016

G. C. Rota, 1975, Finite Operator Calculus

10.1103/PhysRevLett.105.260601

10.1016/0034-4877(91)90045-O

P. Cartier, 2006, Frontiers in Number Theory, Physics, and Geometry I: On Random Matrices, Zeta Functions, and Dynamical Systems, 10.1007/3-540-31347-8

B. Julia, 1990, Number Theory and Physics

10.1103/PhysRevLett.101.110201

10.1016/j.physa.2004.03.074

10.3390/entropy-e10030131

10.1016/j.physa.2004.03.075

10.1103/PhysRevE.71.046128

10.1016/S0378-4371(03)00019-0

10.1103/RevModPhys.81.865

10.1063/1.1780612

10.1103/PhysRevE.66.056125

10.1103/PhysRevE.72.036108

10.1007/BF01008947

A. Rényi, 1970, Probability Theory

C. E. Shannon, 1948, Bell Syst. Tech. J., 27, 379, 10.1002/j.1538-7305.1948.tb01338.x

C. E. Shannon, 1948, Bell Syst. Tech. J., 27, 623, 10.1002/j.1538-7305.1948.tb00917.x

C. Shannon, 1949, The Mathematical Theory of Communication

A. I. Khinchin, 1957, Mathematical Foundations of Information Theory

10.3390/e3030191

10.1209/0295-5075/93/20006

10.1016/S0375-9601(96)00832-8

10.1016/S0375-9601(98)00572-6

V. M. Bukhshtaber, 1990, Math. USSR Sbornik, 181, 75

V. M. Bukhshtaber, 1991, English transl. Math. S. B., 69, 77

10.1016/j.physa.2004.03.082

10.1016/S0378-4371(01)00121-2

10.1016/S0378-4371(01)00082-6

10.1209/0295-5075/81/10004

10.1140/epjb/e2009-00161-0

10.1088/0305-4470/36/33/301

P. T. Landsberg, 1961, Thermodynamics, 10.1088/0031-9112/16/2/013

10.1103/PhysRevE.66.046134

10.1016/j.physa.2007.05.020

10.1214/aoms/1177729694

10.1103/PhysRevE.58.1442

10.1063/1.3116115

I. Csiszár, 1967, Studia Sci. Math. Hung., 2, 299

10.1007/BF02418571

10.1214/aoms/1177729330

10.1016/j.jmaa.2007.07.018

W. Feller, 1971, An Introduction to Probability Theory and its Applications, 10.1063/1.3062516

10.1088/1751-8113/40/45/F02

10.1088/1751-8113/43/16/165208

10.1103/PhysRevLett.85.5234

10.1073/pnas.97.9.4463

10.1111/j.0906-7590.2008.05469.x

10.1103/PhysRevLett.89.098701

L. Borland, 2002, Quantum Finance, 2, 415