Gaussian Fluctuations For
نویسندگان
چکیده
as shown in [9, 31]. This law also arises as the Gibbs measure for n identical charged particles confined to lie on the circle and interacting via the 2-dimensional Coulomb law. For this reason, it is also known as the log-gas. An important example of (1.1) is as the distribution of eigenvalues of an n × n unitary matrix chosen at random according to Haar measure; this corresponds to β = 2. The second point process we will discuss is known as the Jacobi β-ensemble with n-points. (We will abbreviate this name to JβEn.) In this case, there are n-points on the interval [−2, 2] with joint probability density
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