Large deviations for critical points of random polynomials

碩士 === 國立臺灣大學 === 應用數學科學研究所 === 105 === Let pn be a random polynomial with degree n. If the distributions of the empirical measure of zeros of pn satisfy large deviation principle, we show that the distributions of the empirical measure of critical points of pn satisfy the same large deviation princ...

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Main Authors: Yi-An Wu, 吳逸安
Other Authors: 張志中
Format: Others
Language:en_US
Published: 2017
Online Access:http://ndltd.ncl.edu.tw/handle/h88x8z
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spelling ndltd-TW-105NTU055070022019-05-15T23:39:37Z http://ndltd.ncl.edu.tw/handle/h88x8z Large deviations for critical points of random polynomials 隨機多項式臨界點之大離差行為 Yi-An Wu 吳逸安 碩士 國立臺灣大學 應用數學科學研究所 105 Let pn be a random polynomial with degree n. If the distributions of the empirical measure of zeros of pn satisfy large deviation principle, we show that the distributions of the empirical measure of critical points of pn satisfy the same large deviation principle in some special cases. 張志中 2017 學位論文 ; thesis 33 en_US
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language en_US
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description 碩士 === 國立臺灣大學 === 應用數學科學研究所 === 105 === Let pn be a random polynomial with degree n. If the distributions of the empirical measure of zeros of pn satisfy large deviation principle, we show that the distributions of the empirical measure of critical points of pn satisfy the same large deviation principle in some special cases.
author2 張志中
author_facet 張志中
Yi-An Wu
吳逸安
author Yi-An Wu
吳逸安
spellingShingle Yi-An Wu
吳逸安
Large deviations for critical points of random polynomials
author_sort Yi-An Wu
title Large deviations for critical points of random polynomials
title_short Large deviations for critical points of random polynomials
title_full Large deviations for critical points of random polynomials
title_fullStr Large deviations for critical points of random polynomials
title_full_unstemmed Large deviations for critical points of random polynomials
title_sort large deviations for critical points of random polynomials
publishDate 2017
url http://ndltd.ncl.edu.tw/handle/h88x8z
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