On a conjecture of Révész
On a conjecture of Révész
Let {Xn, n > 1} be i.i.d.random variables with P(X¡ = ±1) = i .Révész (1990) proved< lim sup max max (2klogn)~x^2(Si,ic -Si) < K a.s.-"^oo 0<j<n l<k<n-j ' ' ãnd conjectured K = 1 , where Sn = X)i=i %i ■ In tnis note we show that Révész's conjecture …