Protuberance effect in the generalized Strassen--R\'ev\'esz law
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 33-41
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			The set increments of the Wiener process
$$
V_T=\{a^{-1/2}[W(\tau+a_T\cdot)-W(\tau)],\ 0\le\tau\le T-a_T\},
$$
$L_T=(2[\log(T/a_T)+\log\log T])^{1/2}$ is considered. Under assumption $\log(T/a_T)/\log\log T\to c$ the set $V_T$ oscillates between $b\mathbb K$ and $\mathbb K$, where $b=[c/(c+1)]^{1/2}$ and $\mathbb K$ is the Strassen ball. Bibliography: 9 titles.
			
            
            
            
          
        
      @article{ZNSL_1994_216_a3,
     author = {P. Deheuvels and M. A. Lifshits},
     title = {Protuberance effect in the generalized {Strassen--R\'ev\'esz} law},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {33--41},
     publisher = {mathdoc},
     volume = {216},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a3/}
}
                      
                      
                    P. Deheuvels; M. A. Lifshits. Protuberance effect in the generalized Strassen--R\'ev\'esz law. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 33-41. http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a3/