“Correct entropy”in the analysis of complex systems: what is the consequence of rejecting the postulate of equal a priori probabilities?

Exponential and hyperbolic types of distribution in macrosystems: their combined symmetry and finite properties

“…Let me show that the finite exponential distribution of carriers (10) and the corresponding finite resource spec-trum (9) depend on two parameters onlyform-parameter ψ and the mean portion of resource E/N. To this end, substitute (23), (24) in original expressions (10) and 9; the result is a discrete form of the finite exponential distribution of carriers:…”