Explicit Formulas for Heat Kernels on Diamond Fractals

This paper provides explicit pointwise formulas for the heat kernel on compact metric measure spaces that belong to a ( N × N ) -parameter family of fractals, which are regarded as projective limits of metric measure graphs and do not satisfy the volume doubling property. The formulas are applied to...

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Veröffentlicht in:	Communications in mathematical physics 2018-12, Vol.364 (3), p.1305-1326
1. Verfasser:	Alonso Ruiz, Patricia
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Diamonds Fractals Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Schrodinger equation Theoretical
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