Emanuele Natale
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 Jul 27 awarded Popular Question Feb 23 awarded Yearling Dec 20 awarded Constituent Dec 9 awarded Caucus Oct 10 awarded Taxonomist Jul 2 awarded Curious Feb 23 awarded Yearling Jul 17 awarded Notable Question Jul 11 comment What is meant by “constant” in the optional stopping theorem? Is the optional stopping theorem still true with a definition of stopping time that allows it to be infinite? I think no: let the random walk stop moving as it reaches $m$ or $-m$, but define the stopping time to be the time it reaches $m$; this stopping time is infinite but if we could use part (c) we got a contradiction. Jul 10 comment What is meant by “constant” in the optional stopping theorem? Thank you! I did not encounter that definition of stopping time before (I'm in the "some cases" of the Wikipedia definition en.wikipedia.org/wiki/Stopping_time#Definition). Jul 10 accepted What is meant by “constant” in the optional stopping theorem? Jul 10 asked What is meant by “constant” in the optional stopping theorem? Apr 22 awarded Tumbleweed Apr 15 asked Some questions about a “relaxed” invariant probability problem $|\mu(P-I)|\leq \epsilon$ Feb 23 awarded Yearling Jan 29 accepted How to formally write a property of a specific coloring of a graph. Jan 28 asked How to formally write a property of a specific coloring of a graph. Dec 2 awarded Analytical Dec 2 accepted On the meaning of the equal sign when used to define the event of a r.v. taking some value. Dec 2 comment On the meaning of the equal sign when used to define the event of a r.v. taking some value. @MichaelHardy sorry, I rewrote $\{\omega : X(\omega)=k-Y\}$ without noticing to become redundant.