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cond-mat.stat-mech2024
Mean first-passage time at the origin of a run-and-tumble particle with periodic forces
Pascal Grange, Linglong Yuan
We consider a run-and-tumble particle on a half-line with an absorbing target at the origin. The particle has an internal velocity state that switches between two opposite values a…
math.PR2024
Size distribution of clusters in site-percolation on random recursive tree
Chenlin Gu, Linglong Yuan
We prove rigorously several results about the site-percolation on random recursive trees, observed in the previous work by Kalay and Ben-Naim [J. Phys. A48(2015), no.4, 0405001, 15…
math.CA2024
Revisiting the identification problem of a function by the ratio of Laplace transforms of powers
Dongdong Hu, Linglong Yuan, Minzhi Zhao
The ratio of Laplace transforms of powers of a function arises in the context of auction theory. The question whether a function is uniquely identified by this ratio has been answe…