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This https://arxiv.org/abs/1503.03852 has been replaced.
link: https://scholar.google.com/scholar?q=a

On groups of diffeomorphisms of the interval with finitely many fixed points
In [13], it is proved that any subgroup of $\mathrm{Diff}_{+}^{ω}(I)$ (the group of orientation preserving analytic diffeomorphisms of the interval) is either metaabelian or does not satisfy a law. A stronger question is asked whether or not the Girth Alternative holds for subgroups of $\mathrm{Diff}_{+}^{ω}(I)$. In this paper, we answer this question affirmatively for even a larger class of groups of orientation preserving diffeomorphisms of the interval where every non-identity element has …

This https://arxiv.org/abs/2503.06813 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Invariance of three-dimensional Bessel bridges in terms of time reversal
Given $a,b\ge 0$ and $t>0$, let $ρ=\{ ρ_{s}\} _{0\le s\le t}$ be a three-dimensional Bessel bridge from $a$ to $b$ over $[0,t]$. In this paper, based on a conditional identity in law between Brownian bridges stemming from Pitman's theorem, we show in particular that the process given by \begin{align*} ρ_{s}+\Bigl| b-a+ \min _{0\le u\le s}ρ_{u}-\min _{s\le u\le t}ρ_{u} \Bigr| -\Bigl| \min _{0\le u\le s}ρ_{u}-\min _{s\le u\le t}ρ_{u} \Bigr| ,\quad 0\le s\le …