Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically distributed random variables converges weakly to a non-Gaussian ...

The Annals of Probability, Vol. 28, No. 3 (Jul., 2000), pp. 1336-1352 (17 pages) We prove a central limit theorem for strongly mixing sequences under a sharp sufficient condition which combines the ...

Random walks constitute one of the cornerstone concepts in probability theory and statistical physics, representing a class of stochastic processes in which a moving entity takes successive steps in ...

Godel’s theorems on the incompleteness and undecidability of mathematical systems are among the deepest and most significant discoveries of the 20 th century. They represent a dramatic failure of one ...