#almostsure - Twitter Hashtag

over 2 years ago

#almostsure blog post: On the integral ∫I(W ≥ 0) dW This looks at the mentioned integral, which displays properties particular to stochastic integration and which may seem counter-intuitive. https://t.co/gRRyvtNg2O

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Almost Sure @Almost_Sure

over 2 years ago

New #almostsure blog post: Tomaszewski’s conjecture This investigates the recent proof of: for reals a₁, …, aₙ s.t. Σaᵢ²= 1, of the 2ⁿ expressions |±a₁±⋯±aₙ|, 𝗮𝘁 𝗹𝗲𝗮𝘀𝘁 𝗮𝘀 𝗺𝗮𝗻𝘆 𝗵𝗮𝘃𝗲 𝘃𝗮𝗹𝘂𝗲 ≤ 𝟭 𝗮𝘀 𝗵𝗮𝘃𝗲 𝘃𝗮𝗹𝘂𝗲 > 𝟭 https://t.co/DTEsOHFxeY

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Almost Sure @Almost_Sure

over 2 years ago

New #almostsure blog post: Rademacher Concentration Inequalities This looks at (anti)concentration bounds for Rademacher sums. Involves simple, but difficult to prove results, including open conjectures and results which have only recently been proved https://t.co/mVJuKuuL3B

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Almost Sure @Almost_Sure

over 2 years ago

#almostsure blog post: The Khintchine Inequality These are upper and lower bounds on the moments of Rademacher sums, and have many uses such as implying boundedness of maps maps between L^p spaces, and existence of the stochastic integral https://t.co/GRMf2ZsxBD

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Almost Sure @Almost_Sure

over 2 years ago

#almostsure blog post: Rademacher Series These are random variables of the form Z = a₁s₁ + a₂s₂ + … where aᵢ are fixed coefficients and sᵢ is IID sequence of random signs P(sᵢ=±1)=1/2. https://t.co/TCDVxJ2je3

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Erin @ErinReadsStuff

about 7 years ago

Shout out to Janice who let our Bachelorette party crash her 80th birthday so we could continue to dance the night away #Happy80thJanice #IThinkThatsHerName #AlmostSure