HN

This can be rewritten as g = hN (EC )i, where hN (E )i is the mean level number in an energy interval E .
Random Matrix Theory and Chiral Symmetry in QCD

To show that Hn is linearly independent of Jn , it will then be sufficient to show that Hn is unbounded on the positive part of the imaginary axis Re(z) = 0 as z → 0.
Homology for irregular connections

Given E ⊂ R, define Hn (E ) := {M ∈ Hnwith all spectral points ∈ E ⊂ R} ⊂ Hn .
Integrable Lattices: Random Matrices and Random Permutations

Then, for any finite subset P ⊂ P(A), there is a sequence of contractive completely positive linear map Hn : A → B such that (i) kHn (ab) − Hn (a)Hn (b)k → 0 for al l a, b ∈ A as n → ∞ and (ii) [Hn ]|P = α|P for al l sufficiently large n.
Classification of simple $C^*$-algebras of tracial topological rank zero

One is the return probability pn (0) = cId(hn ) ≡ τ (hn ) where Id denotes the identity operator.
Random walks on the braid group B_3 and magnetic translations in hyperbolic geometry