2 papers
math.PR2026
On a fractional stochastic heat equation arising from the disordered pinning model
Zi'an Li, Jian Song, Ran Wei +1
We study the mild Skorohod solution to the following fractional stochastic heat equation on : \begin{equation} \begin{cases} \partial_t u(t,x)=-(-Î)^{Ï/2} u(t,x) +βu…
math.PR2024
Small deviation for the mutual intersection local time of Brownian motions
Xia Chen, Jian Song
In this note, we establish the bounds \[ c\varepsilon^{\frac23}\le P\bigg\{\int_0^1\!\!\int_0^1δ_0(B_s-\tilde{B}_r)dsdr\le \varepsilon \bigg\} \le C \varepsilon^{\frac23},\] for t…