Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths

作者：Honzl Ondrej^*; Rataj Jan

来源：Czechoslovak Mathematical Journal, 2012, 62(1): 67-75.

DOI：10.1007/s10587-012-0017-6

• Minkowski content
• Kneser function
• Brownian motion
• Wiener sausage

We show that whenever the q-dimensional Minkowski content of a subset A aS, a%26quot;e (d) exists and is finite and positive, then the %26quot;S-content%26quot; defined analogously as the Minkowski content, but with volume replaced by surface area, exists as well and equals the Minkowski content.

• 出版日期2012-3