Emanuele Natale
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 Feb23 awarded Yearling Dec20 awarded Constituent Dec9 awarded Caucus Oct10 awarded Taxonomist Jul2 awarded Curious Feb23 awarded Yearling Jul17 awarded Notable Question Jul11 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. Jul10 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). Jul10 accepted What is meant by “constant” in the optional stopping theorem? Jul10 asked What is meant by “constant” in the optional stopping theorem? Apr22 awarded Tumbleweed Apr15 asked Some questions about a “relaxed” invariant probability problem $|\mu(P-I)|\leq \epsilon$ Feb23 awarded Yearling Jan29 accepted How to formally write a property of a specific coloring of a graph. Jan28 asked How to formally write a property of a specific coloring of a graph. Dec2 awarded Analytical Dec2 accepted On the meaning of the equal sign when used to define the event of a r.v. taking some value. Dec2 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. Dec2 asked On the meaning of the equal sign when used to define the event of a r.v. taking some value.