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Mathematics
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Summerday
  • Member for 1 year, 9 months
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question
3
Proof that $\frac{Ax}{\|Ax\|}$ has fixed points.
Feb 26, 2023
question
3
How can I show that $\sup_{0\leq t\leq 1} |B_t| \stackrel{d}{=} \frac{1}{\sqrt{\tau_1}}$?
Apr 29, 2023
question
3
How can I compute $\Bbb{E}\left( e^{-|B_t| \sqrt{2 \lambda}} 1_{B_t\leq -a}\right)$ for a Brownian motion?
May 6, 2023
question
2
How can I show that $(\|B_t\|^2-dt)_{t\geq 0}$ is a martingale?
Mar 22, 2023
question
2
Can someone explain me how one can show $\Bbb{P}(\sqrt{s}|N|>\sqrt{1-s}|N'|)=2\arcsin(\sqrt{s})/\pi$?
Aug 3, 2023
question
1
How can I justify this step in bounding expectation of Brownian motion?
Apr 2, 2023
question
1
How can I show that $T_1$ and $T_2$ are strong mixing.
Apr 19, 2023
question
1
How can I prove $\Bbb{P}(M_t^*>C)\leq \frac{4K}{C^2} +\Bbb{P}([M]_t>K)$?
May 13, 2023
question
1
Is irreducibility and aperiodicity of a matrix equivalent?
Jun 3, 2023
question
1
How can I show that $\Bbb{E}\left(\exp(-\mu T)\right)=\exp\left(-a\sqrt{2\mu}\right)$?
Aug 3, 2023