Brownian motion and thermal capacity
نویسندگان
چکیده
منابع مشابه
Brownian motion and thermal capacity∗
Let W denote d-dimensional Brownian motion. We find an explicit formula for the essential supremum of Hausdorff dimension of W (E)∩F , where E ⊂ (0 ,∞) and F ⊂ R are arbitrary nonrandom compact sets. Our formula is related intimately to the thermal capacity of Watson (1978). We prove also that when d ≥ 2, our formula can be described in terms of the Hausdorff dimension of E × F , where E × F is...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2015
ISSN: 0091-1798
DOI: 10.1214/14-aop910