Point processes in arbitrary dimension from fermionic gases , random matrix theory , and number theory

It is well known that one can map certain properties of random matrices, fermionic gases, and zeros of the Riemann zeta function to a unique point process on the real line R. Here we analytically provide exact generalizations of such a point process in d-dimensional Euclidean space Rd for any d, which are special cases of determinantal processes. In… CONTINUE READING