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math-ph2023★ 2 cited
Statistics of local level spacings in single- and many-body quantum chaos
Peng Tian, Roman Riser, Eugene Kanzieper
We introduce a notion of local level spacings and study their statistics within a random-matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine…
math.NT2023
The size function for imaginary cyclic sextic fields
Ha Thanh Nguyen Tran, Peng Tian, Amy Feaver
In this paper, we investigate the size function for number fields. This size function is analogous to the dimension of the Riemann-Roch spaces of divisors on an algebraic cur…