An asymptotic formula for the variance of the number of zeroes of a ...

The expected number of zeroes may be computed by the celebrated Kac–Rice formula. Estimating the fluctuations, however, proved to be a much more ...

We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under mild mixing ...

An asymptotic formula for the variance of the number of zeroes of a ...

AN ASYMPTOTIC FORMULA FOR THE VARIANCE OF THE NUMBER OF. ZEROES OF A STATIONARY GAUSSIAN PROCESS. ERAN ASSAF, JEREMIAH BUCKLEY, AND NAOMI FELDHEIM. Abstract ...

(PDF) An asymptotic formula for the variance of the number of ...

PDF | We study the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description of the variance of this.

An asymptotic formula for the variance of the number of zeroes of a ...

An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process ; Journal, PROBABILITY THEORY AND RELATED FIELDS.

An asymptotic formula for the variance of the number of zeroes of a ...

We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under ...

An asymptotic formula for the variance of the number of zeroes of a ...

PDF | We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under.

An asymptotic formula for the variance of the number of zeroes of a ...

AbstractWe study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under ...

An asymptotic formula for the variance of the number of zeroes of a ...

An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process · Abstract · List of references.

(Open Access) An asymptotic formula for the variance of the number ...

We study the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description of the variance of this random ...

Asymptotic unbiasedness + asymptotic zero variance = consistency?

Var(ˆθn)→0 as n→∞.

[math/0512652] Number variance of random zeros - arXiv

The main results of this article are asymptotic formulas for the variance of the number of zeros of a Gaussian random polynomial of degree N in an open set U \ ...

Asymptotic variance and CLT for the number of zeros of Kostlan ...

In this note, we find the asymptotic main term of the variance of the number of roots of Kostlan–Shub–Smale random polynomials and prove a central limit ...

Semiclassical formula for the number variance of the Riemann zeros

The connection with (z) comes from an analogy between the Von Mangoldt formula [1] for In ((z)) and an expression for the semiclassical eigenvalue density ...

Semiclassical formula for the number variance of the Riemann zeros

The connection with ((2) comes from an analogy between the Von Mangoldt formula [l] for In (((2)) and an expression for the semiclassical eigenvalue density ...

Asymptotic variance and CLT for the number of zeros of Kostlan ...

In this note, we find the asymptotic main term of the variance of the number of roots of Kostlan–Shub–Smale random polynomials and prove a central limit theorem ...

Asymptotic formula for the average number of zeros of a polynomial ...

Let f be a non-constant polynomial with integers coefficients, and for each prime number p let ηf(p) be the number of zeros of f modulo p. It is ...

Asymptotic variance and CLT for the number of zeros of Kostlan ...

Our tools are the Rice formulas for the (factorial) moments of the number of roots [2,7]; Kratz–León's version of the chaotic expansion [10]; Kratz–León's ...

Variance of real zeros of random orthogonal polynomials

formula for the variance, and prove Theorem 1.2 and Corollary 1.3, deferring ... An asymptotic expansion for the expected number of real zeros of a random ...

Asymptotic variance and CLT for the number of zeros of Kostlan ...

Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials · List of references · Publications that cite this publication.