The dimension of the boundary of super-Brownian motion
Autor: | Leonid Mytnik, Edwin Perkins |
---|---|
Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Statistics and Probability
Mathematical finance Probability (math.PR) 010102 general mathematics Mathematical analysis Motion (geometry) Boundary (topology) 01 natural sciences 010104 statistics & probability Dimension (vector space) Hausdorff dimension FOS: Mathematics 60H15 60G57 (Primary) 28A78 35J65 60J55 60H40 60J80 (secondary) 0101 mathematics Statistics Probability and Uncertainty Nuclear Experiment Super brownian motion Analysis Mathematics - Probability Mathematics |
Popis: | We show that the Hausdorff dimension of the boundary of $d$-dimensional super-Brownian motion is $0$, if $d=1$, $4-2\sqrt2$, if $d=2$, and $(9-\sqrt{17})/2$, if $d=3$. 55 pages, 0 figures |
Databáze: | OpenAIRE |
Externí odkaz: |