Points P1, . . . , Pn in the unit square define a convex n-chain if they are below y = x and, together with P0 = (0, 0) and Pn+1 = (1, 1), they are in convex position. Under unifo...
The Shannon-McMillan-Breiman theorem asserts that the sample entropy of a stationary and ergodic stochastic process converges to the entropy rate of the same process almost surely...
For convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen along the boundary of K. In particular, we determine asymptotic properties of the volum...
Let S be a set system of convex sets in Rd . Helly’s theorem states that if all sets in S have empty intersection, then there is a subset S′ ⊂ S of size d+1 which also has e...
Estimating the coefficients of a noisy polynomial phase signal is important in many fields including radar, biology and radio communications. One approach to estimation attempts...
Robby G. McKilliam, I. Vaughan L. Clarkson, Barry ...