Mathematics > Dynamical Systems
arXiv:2604.19671 (math)
[Submitted on 21 Apr 2026 (v1), last revised 21 May 2026 (this version, v2)]
Abstract:We show that the conditional survival probability measure for a Sinai billiard with a small hole on the boundary of the table is differentiable with respect to the size t of the hole at t = 0 and we compute the derivative.
Submission history
From: Giovanni Canestrari [view email]
[v1]
Tue, 21 Apr 2026 16:51:52 UTC (68 KB)
[v2]
Thu, 21 May 2026 19:24:37 UTC (71 KB)
Bibliographic Tools
Bibliographic and Citation Tools
Bibliographic Explorer Toggle
Code, Data, Media
Code, Data and Media Associated with this Article
Demos
Demos
Related Papers
Recommenders and Search Tools
About arXivLabs
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.























