Isiklikud vahendid
Oled siin: Algus A variational principle for the Pareto power-law
Tegevused dokumentidega

A variational principle for the Pareto power-law

by Jaan Kalda viimati muudetud 2010-08-30 17:23

Marco Patriarca, Institute of Chemical Physics and Biophysics

Mis
Millal 2010-09-06
algus: 16:00 lõpp: 17:00
Kus B101
Lisa sündmus kalendrisse vCal
iCal
A mechanism is proposed for the appearance of power-law
distributions in various complex systems. It is shown that when a system can
be modeled as a dimensionally heterogeneous system (e.g. a conservative
mechanical system composed of subsystems with different numbers of degrees
of freedom) a robust power-law tail appears in the aggregate equilibrium
energy distribution. The derivation only uses a variational principle based
on the Boltzmann entropy, without assumptions outside the framework of
canonical equilibrium statistical mechanics. Two examples are discussed,
free diffusion on a complex network (which is applied to derive the Zipf law
in linguistics) and a kinetic model of wealth exchange (leading to a Pareto
power-law in the wealth distribution).

« August 2017 »
P E T K N R L
12345
6789101112
13141516171819
20212223242526
2728293031
 

Loodud Plone, Avatud Lähtekoodiga Sisuhaldussüsteemi, abil