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Random walk and broad distributions on fractal curves
- Source :
- Chaos, Solitons & Fractals. 127:17-23
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- In this paper we analyse random walk on a fractal structure, specifi- cally fractal curves, using the recently develped calculus for fractal curves. We consider only unbiased random walk on the fractal stucture and find out the corresponding probability distribution which is gaussian like in nature, but shows deviation from the standard behaviour. Moments are calculated in terms of Euclidean distance for a von Koch curve. We also analyse Levy distribution on the same fractal structure, where the dimen- sion of the fractal curve shows significant contribution to the distrubution law by modyfying the nature of moments. The appendix gives a short note on Fourier transform on fractal curves.<br />Comment: 15 pages, 4 figures
- Subjects :
- General Mathematics
Applied Mathematics
Mathematical analysis
FOS: Physical sciences
General Physics and Astronomy
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Fractal landscape
Multifractal system
Koch snowflake
Random walk
01 natural sciences
Fractal dimension
010305 fluids & plasmas
Parabolic fractal distribution
Fractal
Fractal derivative
0103 physical sciences
010301 acoustics
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 127
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi.dedup.....e6ee41906df4651a52e21557604bd195