LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET

Grigoryan A, Yang M (2019)
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372(6): 3985-4030.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
We give a purely analytic construction of a self-similar local regular Dirichlet form on the Sierpinski carpet using approximation of stable-like non-local closed forms which gives an answer to an open problem in analysis on fractals.
Stichworte
Sierpinski carpet; non-local quadratic form; walk dimension; Gamma-convergence; Brownian motion; effective resistance; heat kernel
Erscheinungsjahr
2019
Zeitschriftentitel
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Band
372
Ausgabe
6
Seite(n)
3985-4030
ISSN
0002-9947
eISSN
1088-6850
Page URI
https://pub.uni-bielefeld.de/record/2937859

Zitieren

Grigoryan A, Yang M. LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2019;372(6):3985-4030.
Grigoryan, A., & Yang, M. (2019). LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 372(6), 3985-4030. doi:10.1090/tran/7753
Grigoryan, A., and Yang, M. (2019). LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372, 3985-4030.
Grigoryan, A., & Yang, M., 2019. LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 372(6), p 3985-4030.
A. Grigoryan and M. Yang, “LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET”, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 372, 2019, pp. 3985-4030.
Grigoryan, A., Yang, M.: LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 372, 3985-4030 (2019).
Grigoryan, Alexander, and Yang, Meng. “LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET”. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372.6 (2019): 3985-4030.