151 citations · 2.4k across the 91 of their papers we have counts for
9 papers · 1 filter
Beyond the relaxation time approximation
Grzegorz Wilk, Zbigniew Włodarczyk
The relaxation time approximation (RTA) is a well known method of describing the time evolution of a statistical ensemble by linking distributions of the variables of interest at d…
Tsallis Distribution Decorated With Log-Periodic Oscillation
Grzegorz Wilk, Zbigniew Wlodarczyk
In many situations, in all branches of physics, one encounters power-like behavior of some variables which are best described by a Tsallis distribution characterized by a nonextens…
Quasi-power law ensembles
Grzegorz Wilk, Zbigniew Włodarczyk
Quasi-power law ensembles are discussed from the perspective of nonextensive Tsallis distributions characterized by a nonextensive parameter . A number of possible sources of su…
Tsallis distribution with complex nonextensivity parameter q
G. Wilk, Z. Wlodarczyk
We discuss a Tsallis distribution with complex nonextensivity parameter . In this case the usual distribution is decorated with a log-periodic oscillating factor (apparently, su…
On possible origins of power-law distributions
Grzegorz Wilk, Zbigniew Włodarczyk
Selected examples of possible origins of power-law distributions are presented.
Generalized thermodynamic uncertainty relations
Grzegorz Wilk, Zbigniew Wlodarczyk
We analyze ensemble in which energy (E), temperature (T) and multiplicity (N) can all fluctuate and with the help of nonextensive statistics we propose a relation connecting all fl…
Example of a possible interpretation of Tsallis entropy
Grzegorz Wilk, Zbigniew Wlodarczyk
We demonstrate and discuss the process of gaining information and show an example in which some specific way of gaining information about an object results in the Tsallis form of e…
Fluctuations, correlations and the nonextensivity
G. Wilk, Z. Wlodarczyk
Examples of joint probability distributions are studied in terms of Tsallis' nonextensive statistics both for correlated and uncorrelated variables, in particular it is explicitely…
Information theory point of view on stochastic networks
G. Wilk, Z. Wlodarczyk
Stochastic networks represent very important subject of research because they have been found in almost all branches of modern science, including also sociology and economy. We pro…