No zero-crossings for random polynomials and the heat equation

DOI10.1214/13-AOP852zbMath1312.60036arXiv1208.2382OpenAlexW3103709402MaRDI QIDQ482834

Amir Dembo, Sumit Mukherjee

Publication date: 6 January 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2382

zbMATH Keywords

heat equationGaussian processesGaussian white noiserandom polynomialsreal zerosregularly varying variance

Mathematics Subject Classification ID

Gaussian processes (60G15) Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Real polynomials: location of zeros (26C10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Stochastic analysis (60H99)

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