2011/03/27 by Seema Satin, Satin, Seema, A. D. Gangal +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Theoretical and Computational Physics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1103.5249
15 pages, 4 figures
arxiv created 2011/03/27 · openalex publication_date 2011/03/27 · arxiv updated 2011/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.