Finite-monotonicity of eigenfunctions of the Laplacian on the Sierpinski Gasket

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Demir B., Dzhafarov V., Kocak S., Ureyen M.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, cilt.13, sa.1, ss.1-7, 2005 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 1
• Basım Tarihi: 2005
• Doi Numarası: 10.1142/s0218348x05002702
• Dergi Adı: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1-7
• Anahtar Kelimeler: Sierpinski Gasket, analysis on ractals, eigenfunctions of the Laplacian
• Anadolu Üniversitesi Adresli: Hayır

Özet

We show that the restriction of an eigenfunction of the Laplacian on the Sierpinski Gasket (SG) to any segment inside the SG is monotone on finite pieces, i.e. there is a subdivision of the segment, such that the function is monotone on all subintervals.