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 Mar13 accepted Example: satisfying $E(X_{n+1}\mid X_n)=X_n$ but not a martingale Mar12 asked Example: satisfying $E(X_{n+1}\mid X_n)=X_n$ but not a martingale Nov26 awarded Popular Question Nov25 comment Inequality for the expected values of norm of stochastic processes Thank you very much for your answer. I didn't get the end of the proof. Why is it true that $u_x$ is harmonic on the ball $\|y\|\leqslant\|x\|$? How it implies that for every $\|y\|\leqslant\|x\|$, $u_x(y)=h(x)$? Nov24 accepted Inequality for the expected values of norm of stochastic processes Nov16 asked Inequality for the expected values of norm of stochastic processes Sep30 awarded Nice Question Jul2 awarded Curious Apr14 comment Limit of ratio of random sequences @egreg I also know that $a_n=n^{1/\alpha}\tilde{L}(n)$, with $\tilde{L}(n)$ slowly varying at infinity. Apr13 comment Limit of ratio of random sequences @egreg It is already the result of my effort, since I reduced a more complex problem to this one, but unfortunately I got stuck here. I would appreciate if somebody could help me. Apr12 awarded Yearling Apr12 asked Limit of ratio of random sequences Mar17 comment Application of Central Limit Theorem for nonnegative RV What kind of convergence do you mean? I suppose it is meant to be weak convergence. Mar17 revised Application of Central Limit Theorem for nonnegative RV correcting typo Mar17 suggested approved edit on Application of Central Limit Theorem for nonnegative RV Mar9 accepted Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence Mar8 revised Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence deleted 2 characters in body Mar8 asked Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence Jun8 awarded Caucus May8 revised Weak convergence (to $\mathcal{N}(0,1)$) typo (grammar)