Abstract
We introduce several new notions in mathematical statistics that bridge the gap between this discipline and statistical physics. The analogy between them is useful both for mathematics and for physics. What is more, this new mathematical statistics is adequate for the study of computer networks and self-teaching systems. The role of the web in sociological and economic research is ascertained.
Similar content being viewed by others
References
N.K. Vereshchagin, V.A. Uspensky, and A. Shen, Kolmogorov Complexity and Algorithmic Randomness (MCCME Publ, 2012).
T. Neugebauer, “Moral Impossibility in Petersburg Paradox: A Literature Survey and Experimental Evidence,” LSF Research Working Paper Series, 10–14, Luxembourg School of Finance, University of Luxembourg, 2010.
A. N. Shiryaev, Probability-2 (MCCME Publ, 2004).
V. P. Maslov and T. V. Maslova, “On the Possible Reasons for the Fall-Out of the Supercomputer from the World Wide Web,” Math. Notes 92(2), 283–285 (2012).
Zh. Reznikova, B. Ryabko, “Numerical Competence in Animals, with an Insight from Ants,” Behaviour 148, 405–434 (2011).
Mathematical Encyclopedic Dictionary (Soviet Encyclopedia, 1988).
A.I. Maltsev, Algebraic Systems (Nauka, Moscow, 1970).
L. D. Landau and E. M. Lifshits, Statistical Physics (Nauka, Moscow, 1964).
V.P. Maslov, “Mathematical Justification for the Transition to Negative Pressures of the New Ideal Liquid,” Math. Notes 92(3), 402–411 (2012).
V. P. Maslov, “On a Serious Mathematical Error in the “Mathematical Encyclopedia” Related to the Solution of the Gibbs Paradox,” Math. Notes 93(5), 732–739 (2013).
V. P. Maslov, “The Law of Preference of Cluster Formation over Passage to Liquid State,” Math. Notes 94(1), (2013), in print.
V.P. Maslov, “Distribution of Bose-Einstein Type for Non-Ideal Gas. Two-Liquid Model of Supercritical State and Its Applications,” Math. Notes 94(2), (2013).
S. G. Gindikin, Tales about Physicists and Mathematicians (MCCME, Moscow, 2001).
W.-G. Dong and J.H. Lienhard, “Corresponding States of Saturated and Metastable Properties,” The Canadian Journal of Chemical Engineering 64, 158–161 (1986).
N. N. Bogolyubov, On the Theory of Superfluidity, in Selected Works (Naukova Dumka, Kiev, 1970) 2 [in Russian].
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Maslov, V.P., Maslova, T.V. A new approach to mathematical statistics involving the number of degrees of freedom, temperature, and symplectically conjugate quantities. Russ. J. Math. Phys. 20, 315–325 (2013). https://doi.org/10.1134/S1061920813030060
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061920813030060