On minimal parabolic functions and time-homogenous parabolic h-transforms
| dc.contributor.author | Burdzy, Krzysztof | |
| dc.contributor.author | Salisbury, Thomas S. | |
| dc.date.accessioned | 2005-11-28T19:05:23Z | |
| dc.date.available | 2005-11-28T19:05:23Z | |
| dc.date.issued | 1999-03-29 | |
| dc.description.abstract | Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semi-infinite tubes D [is an element of the subset of real numbers to the power of] d of variable width and minimal harmonic functions h corresponding to the boundary point of D "at infinity." Suppose f(u) is the width of the tube u units away from its endpoint and f is a Lipschitz function. The answer to the question is affirmative if and only if [definite integral to the power of infinity] f [to the power of] 3(u)du = [infinity]. If the test fails, there exist parabolic h-transforms of space-time Brownian motion in D with infinite lifetime which are not time-homogenous. | en |
| dc.description.sponsorship | Burdzy was supported in part by NSF grant DMS-9700721. Saliosbury was supported in part by a grant from NSERC. A portion of this research took place during his stay at the Fields Institute. | en |
| dc.format.extent | 359621 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Burdzy, K. & T.S. Salisbury. (1999). On minimal parabolic functions and time-homogenous parabolic h-transforms. Transactions of the American Mathematical Society, 351, 3499-3531. | en |
| dc.identifier.uri | http://hdl.handle.net/1773/2196 | |
| dc.language.iso | en_US | |
| dc.publisher | American Mathematical Society | en |
| dc.subject | Martin boundary | en |
| dc.subject | harmonic functions | en |
| dc.subject | parabolic functions | en |
| dc.subject | Brownian motion | en |
| dc.subject | h-transforms | en |
| dc.title | On minimal parabolic functions and time-homogenous parabolic h-transforms | en |
| dc.type | Article | en |