Records in fractal stochastic processes

Analysis, Synthesis, and Estimation of Fractal-rate Stochastic Point Processes

Fractal and fractal-rate stochastic point processes (FSPPs and FRSPPs) provide useful models for describing a broad range of diverse phenomena, including electron transport in amorphous semiconductors, computer-network traffic, and sequences of neuronal action potentials. A particularly useful statistic of these processes is the fractal exponent α, which may be estimated for any FSPP or FRSPP b...

2 6 N ov 2 01 2 Records in stochastic processes - Theory and applications

In recent years there has been a surge of interest in the statistics of recordbreaking events in stochastic processes. Along with that, many new and interesting applications of the theory of records were discovered and explored. The record statistics of uncorrelated random variables sampled from time-dependent distributions was studied extensively. The findings were applied in various areas to ...

Describing Fractal Processes with UML

Component-based software has a self-similar structure on each level of abstraction, i.e. its structure is fractal. Traditional software processes, however, have a linear or iterated structure, and are thus not very well suited for component-based software development. Here, processes described by languages of patterns fit better. To ensure a general understanding and easy applicability of proce...

Stochastic processes in gravitropism

In this short review we focus on the role of noise in gravitropism of plants - the reorientation of plants according to the direction of gravity. We briefly introduce the conventional picture of static gravisensing in cells specialized in sensing. This model hinges on the sedimentation of statoliths (high in density and mass relative to other organelles) to the lowest part of the sensing cell. ...

Stochastic Processes