Some memories and facts about the work of Oleg Lepski: beyond a 'discourse on method'
In this talk, I will attempt to review some of the results of Oleg Lepski and his co-authors that influenced the course of mathematical statistics over the last thirty years. It is hard to do fair justice to the origins of ideas that circulate among a vast community of scientists, and instead of taking the route of an illegitimate historian, I will follow byways and give a personal account of what I know and understand of Oleg's influence and personality. In particular I will try not to talk too much about "Lepski's method", but rather focus on others of his many contributions.
 
     
	
                 
                 
	
                 
	
                 
	
                 
	
               
	
               
	
               
	
               
	
               
	
               
	
               
	
         
	
           
                       
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
          ![$k$-sum free sets in $[0,1]$](/media/cache/video_light/uploads/video/2015-09-10_de_Roton-video--19cf70874d3c5af7378c268cab865b06.jpg) 
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
	
           
      
    