The fractal dimensions of the level sets of the generalized iterated Brownian motion

2013 ◽  
Vol 29 (3) ◽  
pp. 597-602
Author(s):  
Chang-qing Tong ◽  
Zheng-yan Lin ◽  
Jing Zheng
Keyword(s):  
Brownian Motion ◽  
Level Sets ◽  
Fractal Dimensions ◽  
Iterated Brownian Motion

scholarly journals Weighted power variations of iterated Brownian motion

2008 ◽  
Vol 13 (0) ◽  
pp. 1229-1256 ◽  
Author(s):  
Ivan Nourdin ◽  
Giovanni Peccati
Keyword(s):  
Brownian Motion ◽  
Iterated Brownian Motion

Concentration Influence on Diffusion Limited Cluster Aggregation

1994 ◽  
Vol 367 ◽  
Author(s):  
ST.C. Pencea ◽  
M. Dumitrascu
Keyword(s):  
Brownian Motion ◽  
Fractal Dimensions ◽  
Simple Random Walk ◽  
Two Dimensional ◽  
Diffusion Limited Aggregation ◽  
Dimensional Lattice ◽  
Cluster Aggregation ◽  
Box Counting ◽  
Diffusion Limited ◽  
Diffusion Limited Cluster Aggregation

AbstractDiffusion-limited cluster aggregation has been simulated on a square two dimensional lattice. In order to simulate the brownian motion, we used both the algorithm proposed initially by Kolb et all. and a new algorithm intermediary between a simple random walk and the ballistic model.The simulation was performed for many values of the concentration, from 1 to 50%. By using a box-counting algorithm one has calculated the fractal dimensions of the obtained clusters. Its increasing vs. concentration has been pointed out. The results were compared with those of the classical diffusion-limited aggregation (DLA).

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