Saurabh, BipulBipulSaurabh2025-08-312025-08-312020-06-0210.1080/00927872.2020.17215142-s2.0-85079394635https://d8.irins.org/handle/IITG2025/24122In 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.false46L87 | 58B32 | 58B34 | growth graph | homogeneous space | length operator | Spectral dimensionArticlehttps://arxiv.org/pdf/1803.09407153241252539-25542 June 20201arJournal1WOS:000525938500001