Darning and Gluing of Diffusions

Hansen W (2017)
Potential Analysis 46(1): 167-180.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
We study darning of compact sets (darning and gluing of finite unions of compact sets), which are not thin at any of their points, in a potential-theoretic framework which may be described, analytically, in terms of harmonic kernels/harmonic functions or, probabilistically, in terms of a diffusion. This is accomplished without leaving our kind of setting so that the procedure can be iterated without any problem. It applies to darning and gluing of compacts in Euclidean spaces (manifolds) of different dimensions, which is of interest pertaining to recent studies on heat kernels.
Stichworte
Diffusion; Brownian motion; Harmonic function; Harmonic kernel; Darning; Gluing; Stable compact
Erscheinungsjahr
2017
Zeitschriftentitel
Potential Analysis
Band
46
Ausgabe
1
Seite(n)
167-180
ISSN
0926-2601
eISSN
1572-929X
Page URI
https://pub.uni-bielefeld.de/record/2908827

Zitieren

Hansen W. Darning and Gluing of Diffusions. Potential Analysis. 2017;46(1):167-180.
Hansen, W. (2017). Darning and Gluing of Diffusions. Potential Analysis, 46(1), 167-180. doi:10.1007/s11118-016-9577-7
Hansen, W. (2017). Darning and Gluing of Diffusions. Potential Analysis 46, 167-180.
Hansen, W., 2017. Darning and Gluing of Diffusions. Potential Analysis, 46(1), p 167-180.
W. Hansen, “Darning and Gluing of Diffusions”, Potential Analysis, vol. 46, 2017, pp. 167-180.
Hansen, W.: Darning and Gluing of Diffusions. Potential Analysis. 46, 167-180 (2017).
Hansen, Wolfhard. “Darning and Gluing of Diffusions”. Potential Analysis 46.1 (2017): 167-180.