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中山大学岭南学院高级计量经济学课件（II：Panel Data）CH5 Unit Roots and Cointegration in panels
中山大学岭南学院 高级计量经济学 课件（II：Panel Data） CH5 Unit Roots and Cointegration in panels
2017/6/14
中山大学岭南学院高级计量经济学课件（II：Panel Data）CH5 Unit Roots and Cointegration in panels。
How to find all roots of complex polynomials by Newton’s method
complex polynomials Newton’s method
2015/8/26
We investigate Newton’s method to find roots of polynomials of fixed degree d, appropriately normalized: we construct a finite set of points such that, for every root of every such polynomial, at leas...
ON SQUARE ROOTS OF THE UNIFORM DISTRIBUTION ON COMPACT GROUPS
Separate topology group probability quaternion group organization properties
2015/7/14
Let G be a compact separable topological group. When does there exist a
probability P such that P P = U ,where U is Haarmeasure and P + U? We show
that such square roots exist if and only if G is ...
A New Algorithm to Compute the Square Roots of r -circulant Matrices
r-circulant matrices primary square root reduced form Schur decomposition
2012/9/24
A simplified form of r-circulant matrices is investigated , and a new algorithm to compute the square roots of r -circulant matrices is obtained using the properties of r -circulant matrices. In st...
q-damped Oscillator and degenerate roots of constant coefficients q-difference ODE
q-damped Oscillator degenerate roots coefficients q-difference ODE
2011/9/5
Abstract: The classical model of q-damped oscillator is introduced and solved in terms of Jackson q-exponential function for three different cases, under-damped, over-damped and the critical one. It i...
Higher order Glaeser inequalities and optimal regularity of roots of real functions
Glaeser inequality absolutely continuous functions roots of real functions Holder continuous functions
2011/9/6
Abstract: We prove a higher order generalization of Glaeser inequality, according to which one can estimate the first derivative of a function in terms of the function itself, and the Holder constant ...
A generalized Steinberg section and branching rules for quantum groups at roots of 1
generalized Steinberg section branching rules quantum groups
2011/8/23
Abstract: In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applica...
Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
second Painlev´ e equation rational solutions power series expansion
2011/1/21
We study the Yablonskii–Vorob’ev polynomials, which are special polynomials used to represent rational solutions of the second Painlev´e equation. Divisibility properties of the coefficients of ...
Asymptotic Distribution Of The Roots Of The Ehrhart Polynomial Of The Cross-Polytope
Asymptotic Distribution Roots Of The Ehrhart Polynomial eCross-Polytope
2011/1/20
We use the method of steepest descents to study the root distribution of the Ehrhart polynomial of the d-dimensional cross-polytope, namely Ld, as d ! 1. We prove that the distribution function of the...
New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity
New solutions $s\ell_q(2)$-invariant Yang-Baxter equations
2011/3/1
We have found new solutions to Yang-Baxter equations with R-matrices acquiring slq(2) symmetry
at roots of unity using indecomposable representations of the algebra.
On Square Roots of the Haar State on Compact Quantum Groups
Compact quantum group Haar state normal subgroup
2011/1/20
The paper is concerned with the extension of the classical study of probability measures on a compact group which are square roots of the Haar measure, due to Diaconis and Shahshahani, to the context ...
We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polynomials with multiple roots in both the univariate and multivariate case, and also explore some close...
We present the solutions of equations of degrees 3 and 4 using Galois theory and some simple Fourier analysis for finite groups.
Geometry of the locus of polynomials of degree 4 with iterative roots
Geometry polynomials iterative roots
2010/11/23
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
We determine all graphs whose matching polynomials have at most five distinct zeros. As a consequence, we find new families of graphs which are determined by their matching polynomial. In particular, ...