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cond-mat.stat-mech2026
Long-range self-avoiding walk in one dimension: a Monte Carlo study
Jiang Zhou, Ziyu Liu, Pengcheng Hou +2
We study the one-dimensional long-range self-avoiding walk in the grand-canonical ensemble where the statistical weight of a jump of length decays algebraically as …
cond-mat.stat-mech2026
Fractals of Simple Random Walks in Two Dimensions: A Monte Carlo Study
Jiang Zhou, Ziru Deng, Pengcheng Hou
We present a Monte Carlo study of the fractal geometry of clusters formed by discrete-time simple random walks (sRW) of steps on a periodic square lattice. We ver…