New probability theory compatible with the new conception of modern thermodynamics. Economics and crisis of debts

DOI10.1134/S1061920812010074zbMath1269.60007arXiv1202.5257MaRDI QIDQ455607

V. P. Maslov

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5257

zbMATH Keywords

critical pointBoltzmann distributionnegative pressureBose-Einstein distributionideal liquidimperfect gasmixtures of gasesnon-integer dimensions in number theorypartitio numerorumsand-pile paradoxWiener quantization

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Combinatorial aspects of partitions of integers (05A17) Critical phenomena in equilibrium statistical mechanics (82B27) Foundations of probability theory (60A99) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Analytic theory of partitions (11P82) Statistical thermodynamics (82B30) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (8)

The critical value of the Maslov distribution of a sum of debts taking into account the debt durations ⋮ A Bose condensate in the \(D\)-dimensional case, in particular, for \(D = 2\) and 1 ⋮ Bose condensate in the \(D\)-dimensional case, in particular, for \(D = 2\) ⋮ Probability theory for random variables with unboundedly growing values and its applications ⋮ Unbounded probability theory compatible with the probability theory of numbers ⋮ Binodal for the new ideal gas and the ideal liquid ⋮ The union of two systems of identical Maslov elements with different dimensions ⋮ Gas-amorphous solid and liquid-amorphous solid phase transitions. introduction of negative mass and pressure from the mathematical viewpoint

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maslov distribution and formulas for the entropy
• Correspondence between the ideal Bose gas in a space of fractional dimension and a dense nonideal gas according to Maslov's scheme
• Number-theoretic internal energy for a gas mixture
• Statistical mechanics of combinatorial partitions, and their limit shapes
• A new approach to probability theory and thermodynamics
• Quantum economics
• On the distribution of integer random variables related by a certain linear inequality. I
• On the superfluidity of classical liquid in nanotubes. I: Case of even number of neutrons
• On the superfluidity of classical liquid in nanotubes. II: Case of odd number of neutrons
• Threshold levels in economics and time series
• Asymptotics of the Kolmogorov-Feller equation for a system of a large number of particles
• Fuzzy sets as a basis for a theory of possibility
• Computational complexity and feasibility of data processing and interval computations
• On the integral equation \(u(x)=F(x)+\int G(x,\xi)u_ +^{k/2}(\xi)d\xi/\int u_ +^{k/2}(\xi)d\xi\)
• On symmetry groups of quasicrystals
• A new approach to phase transitions, thermodynamics, and hydrodynamics
• Mathematical conception of ``phenomenological equilibrium thermodynamics
• Tunnel quantization of thermodynamics and critical exponents
• Wiener quantization of economics as an analog of the quantization of thermodynamics
• On the distribution of integer random variables related by a certain linear inequality. II
• Solution of the Gibbs paradox in the framework of classical mechanics (Statistical physics) and crystallization of the gas \(C _{60}\)
• L-fuzzy sets
• Non-standard characteristics in asymptotic problems
• Fuzzy sets
• Application of second quantization methods to the classical statistical mechanics
• Application of second quantization methods to the classical statistical mechanics (II)
• Idempotent functional analysis: An algebraic approach

This page was built for publication: New probability theory compatible with the new conception of modern thermodynamics. Economics and crisis of debts