The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem
The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem
Abstract The Bessel process models the local eigenvalue statistics near 0 of certain large positive definite matrices. In this work, we consider the probability where and is any nonānegative integer. We obtain asymptotics for this probability as the size of the intervals becomes large, up to and including the oscillations ā¦