Critical points, critical values, and a determinant identity for complex polynomials

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Monodromy problem for the degenerate critical points

For the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. When the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. In this paper we will consider the polynomial planar vector fields ...

متن کامل

Non-accessible Critical Points of Cremer Polynomials

It is shown that a polynomial with a Cremer periodic point has a non-accessible critical point in its Julia set provided that the Cremer periodic point is approximated by small cycles. Stony Brook IMS Preprint #1995/2 February 1995

متن کامل

Single Nucleotide Polymorphisms and Association Studies: A Few Critical Points

Uncovering DNA sequence variations that correlate with phenotypic changes, e.g., diseases, is the aim of sequence variation studies. Common types sequence variations are Single nucleotide polymorphism (SNP, pronounced snip).SNPs are the third-generation molecular marker. SNP represents a DNA sequence variant of a single base pair with the minor allele occurring in more than 1% of a given popula...

متن کامل

A Critical Assessment of Simulated Critical Values

There is a wide variety of statistical problems (e.g., unit root and cointegration tests) where hypothesis testing involves the use of simulated rather than theoretical critical values. We argue that in practice the number of replications used to simulate critical values is often insufficient to provide the degree of precision that is implied. In particular, the number of replications needed is...

متن کامل

On the Location of Critical Points of Polynomials

Given a polynomial p of degree n ≥ 2 and with at least two distinct roots let Z(p) = {z : p(z) = 0}. For a fixed root α ∈ Z(p) we define the quantities ω(p, α) := min { |α − v| : v ∈ Z(p) \ {α} } and τ(p, α) := min { |α − v| : v ∈ Z(p′) \ {α} } . We also define ω(p) and τ(p) to be the corresponding minima of ω(p, α) and τ(p, α) as α runs over Z(p). Our main results show that the ratios τ(p, α)/...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2020

ISSN: 0002-9939,1088-6826

DOI: 10.1090/proc/15215