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What is Spherical Random Walks in Noninteger Dimensions about?

This paper explores spherically-symmetric random walks on a lattice in noninteger dimensions, addressing the limitations of hypercubic lattices. It provides a detailed asymptotic analysis of these random walks, determining the Hausdorff dimension and the probabilities of movement between regions. The study concludes that the probability of intersection among multiple independent random walkers vanishes in the continuum limit when the dimension exceeds a certain threshold.

Author

Célio Lima

Language

EN