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Intersection Exponents of Simple Random Walks in Two and Three Dimensions
Qiyuan Shi, Runsheng Liu, Xinyi Li +2
The probability that several independent random walks avoid one another decays algebraically with the number of steps in two and three dimensions, ,…
Equivalent-neighbor -core percolation in two dimensions
Qiyuan Shi, Ming Li, Youjin Deng
We perform large-scale numerical simulations to investigate the critical behavior of -core percolation in two dimensions with an extended interaction range . By systematicall…
High-precision Dynamic Monte Carlo Study of Rigidity Percolation
Mingzhong Lu, Yufeng Song, Qiyuan Shi +2
Rigidity percolation provides an important basis for understanding the onset of mechanical stability in disordered materials. While most studies on the triangular lattice have focu…
Fractal depth-first search paths in statistical physics models
Qiyuan Shi, Youjin Deng, Ming Li
We study the fractal properties of depth-first search (DFS) paths in critical configurations of statistical physics models, including the two-dimensional loop model for vari…