After we briefly review on determinantal point processes and Gaussian analytic functions,
we establish a functional central limit theorem for random analytic functions and the corre …

The dominant theme of this thesis is that random matrix valued analytic functions,
generalizing both random matrices and random analytic functions, for many purposes can …

The classical limit theorems for sums of independent random variables ([6]) have been
extended in several directions. For instance, Skorohold ([19]) discussed functional limit …

" The book examines in some depth two important classes of point processes, determinantal
processes and" Gaussian zeros", ie, zeros of random analytic functions with Gaussian …

Let {Xi} i2 o be a sequence of independent and identically distributed (iid) random variables
with common distribution function F (x) belonging to the domain of attraction of a stable law …

We consider random analytic functions defined on the unit disk of the complex plane
f(z)=n=0^∞a_nX_nz^n, where the X n's are iid, complex-valued random variables with …

We study the zero sets of random analytic functions generated by a sum of the cardinal sine
functions which form an orthonormal basis for the Paley–Wiener space. As a model case, we …

We prove a functional limit theorem in a space of analytic functions for the random Dirichlet
series D (α; z)=∑ n≥ 2 (log n) α (η n+ i θ n)/nz, properly scaled and normalized, where (η n …

Let R∈(0,+∞], f (z)=∑ cnzn be an analytic function in the disk {z:| z|< R}, Tf (r) be the
Nevanlinna characteristic, Nf (r, α, β, a) be the integrated counting function of a-points of f in …

On Chung's Law of the Iterated Logarithm for Some Stochastic Integrals Page 1 The Annals of
Probability 1994, Vol. 22, No. 4, 1794-1802 ON CHUNG'S LAW OF THE ITERATED …