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Abstract In this paper, we associate a growth graph to a homogeneous space of a compact group. Under certain assumptions, we show that the spectral dimension of a homogeneous space… Click to show full abstract
Abstract In this paper, we associate a growth graph to a homogeneous space of a compact group. Under certain assumptions, we show that the spectral dimension of a homogeneous space is greater than or equal to summability of the length operator associated with the growth graph. Using this, we compute spectral dimension of spheres. Communicated by Miriam Cohen
Keywords:
dimension spheres;
dimension;
spectral dimension
Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!