#4 – On Random Polynomials-II: A Survey

V. Thangaraj and M. Sambandham. On Random Polynomials-II: A Survey
Neural Parallel and Scientific Computations 29 (2021), No. 4, 230-251

https://doi.org/10.46719/npsc20212944

ABSTRACT.
Herein, we continue to summarize a set of fundamental results of various random polynomials including orthogonal polynomials, etc. This article contains a survey of selected results in random polynomials on the real/complex zeros and distribution of zeros of random polynomials in higher dimensions, in algebraic structures, random fields, and manifolds. It is further outlined how Kac-Rice formula is generalized in the various structures.

Mathematics Subject Classification(2020): 60H25, 47B80, 47H40