On Brownian disconnection exponents
Werner, Wendelin
Bernoulli, Tome 1 (1995) no. 3, p. 371-380 / Harvested from Project Euclid
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We derive an upper bound for the disconnection exponent γ of two-dimensional Brownian motion. More precisely, we show that γ≤½-(log2)2/(2π2)<0.47566. This implies in particular that γ is not equal to its trivial upper bound (i.e. ½). We also derive similar estimates of disconnection exponents for several planar Brownian motions and intersection exponents.
Publié le : 1995-12-14
Classification:  Brownian motion,  disconnection exponent,  intersection exponent 
@article{1193758712,
     author = {Werner, Wendelin},
     title = {On Brownian disconnection exponents},
     journal = {Bernoulli},
     volume = {1},
     number = {3},
     year = {1995},
     pages = { 371-380},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1193758712}
}

Werner, Wendelin. On Brownian disconnection exponents. Bernoulli, Tome 1 (1995) no. 3, pp.  371-380. http://gdmltest.u-ga.fr/item/1193758712/