Walk dimension and function spaces on self-similar fractals
Tom 84 / 2009
                    
                    
                        Banach Center Publications 84 (2009), 63-73                    
                                        
                        MSC: 60J35, 46E30.                    
                                        
                        DOI: 10.4064/bc84-0-4                    
                                    
                                                Streszczenie
We outline the construction of Brownian motion on certain self-similar fractals and introduce the notion of walk dimension. We then show how the probabilistic approach relates to the theory of function spaces on fractals.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            