In this paper we continue our analysis [3] of the determinant det(I− γKs), γ ∈ (0, 1) where Ks is the trace class operator acting in L2(−1, 1) with kernel Ks(λ, μ) = (Formula Present). In [3] various key asymptotic results were stated and utilized, but without proof: Here we provide the proofs (see Theorem 1.2 and Proposition 1.3 below).
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II / Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor. - 259:(2017), pp. 213-234. [10.1007/978-3-319-49182-0_12]
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II
Bothner, Thomas
;Its, Alexander;Krasovsky, Igor
2017-01-01
Abstract
In this paper we continue our analysis [3] of the determinant det(I− γKs), γ ∈ (0, 1) where Ks is the trace class operator acting in L2(−1, 1) with kernel Ks(λ, μ) = (Formula Present). In [3] various key asymptotic results were stated and utilized, but without proof: Here we provide the proofs (see Theorem 1.2 and Proposition 1.3 below).File in questo prodotto:
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