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Discovery Projects - Grant ID: DP160101366

Title
Discovery Projects - Grant ID: DP160101366
Funding
ARC | Discovery Projects
Contract (GA) number
DP160101366
Start Date
2016/01/01
End Date
2020/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP160101366

 

  • Stochastic representation of fractional Bessel-Riesz motion

    This paper derives the stochastic solution of a Cauchy problem\ud for the distribution of a fractional diffusion process. The governing equation\ud involves the Bessel-Riesz derivative (in space) to model heavy tails of the\ud distribution, and the Caputo-Djrbashian derivative (in time) to depicts the\ud memory of the diffusion process. The solution is obtained as Brownian motion\ud with time change in terms of the Bessel-Riesz subordinator on the inverse\ud stable subordinator. This stochast...

    Correlated continuous time random walks and fractional Pearson diffusions

    Continuous time random walks have random waiting times between particle jumps. We define\ud the correlated continuous time random walks (CTRWs) that converge to fractional Pearson diffusions\ud (fPDs). The jumps in these CTRWs are obtained from Markov chains through the Bernoulli urn-scheme\ud model and Wright-Fisher model. The jumps are correlated so that the limiting processes are not Lévy but\ud diffusion processes with non-independent increments. The waiting times are selected from the do...
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