TY - CHAP
T1 - On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II
AU - Bothner, Thomas Joachim
AU - Deift, Percy
AU - Its, Alexander
AU - Krasovsky, Igor
PY - 2017/3/23
Y1 - 2017/3/23
N2 - In this paper we continue our analysis [3] of the determinant det (I−γKs), γ ∈ (0,1) where K s is the trace class operator acting in L 2(−1, 1) with kernel Ks(λ,μ)=sin s(λ−μ)π(λ−μ) . 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).
AB - In this paper we continue our analysis [3] of the determinant det (I−γKs), γ ∈ (0,1) where K s is the trace class operator acting in L 2(−1, 1) with kernel Ks(λ,μ)=sin s(λ−μ)π(λ−μ) . 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).
U2 - 10.1007/978-3-319-49182-0_12
DO - 10.1007/978-3-319-49182-0_12
M3 - Chapter
VL - 259
T3 - Operator Theory: Advances and Applications
SP - 213
EP - 234
BT - Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
ER -