Singular Random Dynamics Cetraro Italy 2016 - Massimiliano Gubinelli

Written By Leading Experts In An Emerging Field, This Book Offers A Unique View Of The Theory Of Stochastic Partial Differential Equations, With Lectures On The Stationary Kpz Equation, Fully Nonlinear Spdes, And Random Data Wave Equations. This Subject Has Recently Attracted A Great Deal Of Attention, Partly As A Consequence Of Martin Hairers Contributions And In Particular His Creation Of A Theory Of Regularity Structures For Spdes, For Which He Was Awarded The Fields Medal In 2014. The Text Comprises Three Lectures Covering: The Theory Of Stochastic Hamilton-jacobi Equations, One Of The Most Intriguing And Rich Chapters Of This Subject; Singular Spdes, Which Are At The Cutting Edge Of Innovation In The Field Following The Breakthroughs Of Regularity Structures And Related Theories, With The Kpz Equation As A Central Example; And The Study Of Dispersive Equations With Random Initial Conditions, Which Gives Insights Into Classical Problems And At The Same Time Provides A Surprising Parallel To The Theory Of Singular Spdes, Viewed From Many Different Perspectives.