Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Critical values of Gaussian $SU(2)$ random polynomials
HTML articles powered by AMS MathViewer

by Renjie Feng and Zhenan Wang PDF
Proc. Amer. Math. Soc. 144 (2016), 487-502 Request permission

Abstract:

In this article we will get the estimate of the expected distribution of critical values of Gaussian $SU(2)$ random polynomials as the degree is large enough. The result about the expected density is a direct application of the Kac-Rice formula. The critical values will accumulate at infinity, then we will study the rate of this convergence and its rescaling limit as $n\rightarrow \infty$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 12E10
  • Retrieve articles in all journals with MSC (2010): 12E10
Additional Information
  • Renjie Feng
  • Affiliation: Department of Mathematics and Statistics, Mcgill University, Montreal, Quebec, Canada
  • MR Author ID: 939975
  • Email: renjie@math.mcgill.ca
  • Zhenan Wang
  • Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
  • Email: zn_wang@math.northwestern.edu
  • Received by editor(s): July 26, 2014
  • Received by editor(s) in revised form: January 12, 2015
  • Published electronically: June 10, 2015
  • Communicated by: Walter Van Assche
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 487-502
  • MSC (2010): Primary 12E10
  • DOI: https://doi.org/10.1090/proc/12765
  • MathSciNet review: 3430828