Spectral dimension of spheres
classification
🧮 math.OA
keywords
spectraldimensionlengthoperatorspacespheresassociateassumptions
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In this paper, we associate a growth graph and a length operator to a quotient space of a semisimple compact Lie 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. Using this, we compute spectral dimensions of spheres.
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