S. Umarov

activity

20062010

most citedA generalization of the central limit theorem consistent with nonextensive statistical mechanics

51 citations · 164 across the 12 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

cond-mat.stat-mech2010

Limit distribution in the $q$ -CLT for $q \geq 1$ can not have a compact support

Sabir Umarov, Constantino Tsallis

In a recent paper Hilhorst \cite{Hilhorst2010} illustrated that the $q$ -Fourier transform for $q > 1$ is not invertible in the space of density functions. Using an invariance princip…

math.PR2010

On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations

Marjorie G. Hahn, Kei Kobayashi, Jelena Ryvkina +1

This paper establishes Fokker-Planck-Kolmogorov type equations for time-changed Gaussian processes. Examples include those equations for a time-changed fractional Brownian motion w…

Limit distribution in the q-CLT for q≥1 can not have a compact support

On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations

Limit distribution in the $q$ -CLT for $q \geq 1$ can not have a compact support