题 目:Almosteverywhere convergence of ergodic series
报告人:Prof.Fan Aihua(Universitéde Picardie Jules Verne)
时 间:2018年4月3日10:-11:00
地 点:数学院207报告厅
摘要:By ergodic series wemeans[图片],which was not well studied before, because even the specialseries[图片]may diverge almost everywhere. We introduce some martingalemethods to attack the problem. The methods apply actuallyto general random series[图片] of dependent terms.One application is the study of the regularity of Weierstrass type functions[图片]. The set of non-differentiable points is a fractal set andits Hausdorff dimension is computable as function of the parameter