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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Zeros of complete symmetric polynomials over finite fields
有限域 完全对称 多项式 零点
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2023/4/13
Wan and Zhang have recently obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a problem whether their bound can be improved. ...
Subordination by orthogonal martingales in $L^{p}$ and zeros of Laguerre polynomials
orthogonal martingales $L^{p}$ zeros of Laguerre polynomials
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2011/1/18
In this paper we address the question of finding the best Lp-norm constant for martingale transforms with one-sided orthogonality. Let O = (,B, P)be a probability space with filtration B generated by ...
Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinder
Lee-Yang zeros DHL D rational dynamics I. Foliation of the physical cylinder
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2010/12/10
In a classical work of the 1950’s, Lee and Yang proved that thezeros of the partition functions of a ferromagnetic Ising models always lie on the unit circle. Distribution of these zeros is physically...
Isolated zeros for Brownian motion with variable drift
Brownian motion H¨older continuity Cantor function
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2010/12/8
It is well known that standard one-dimensional Brownian motion B(t) has no isolated zeros almost surely. We show that for any < 1/2 there are -H¨older continuous functions f(t) for which the proces...
Integral Mean Estimates for Polynomials whose Zeros are within a Circle
Polynomials Zeros of order $m$ Inequalities Polar derivatives
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2010/1/22
Let be a polynomial of degree . Zygmund [11] has shown that for In this paper, we have obtained inequalities in the reverse direction for the polynomials having a zero of order at the origin. W...
Complete Numerical Isolation of Real Zeros in General Triangular Systems
system of polynomial equations triangular polynomial system zero-dimensional system isolating interval real zero isolation complete numerical algorithms sleeve bound evaluation bound separation bound
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2013/9/9
We consider the computational problem of isolating all the real zeros of a zero-dimensional triangular polynomial system Fn μZ[x1xn]. We present a complete numerical algorithm for this problem. Our sy...