Geodesic
On the spectrum of hierarchical Schr\"{o}dinger-type
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 2, Tome 221 (2023), pp. 20-30.

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This paper is written within the project “On the spectrum of hierarchical Schrödinger-type operators” joint with A. Grigor'yan (Bielefeld University) and S. Molchanov (University of North Carolina at Charlotte) and continues the studies started earlier.
Keywords: ultrametric space, symmetric Markov semigroup, symmetric Markov generator, spectral asymptotics, localization theory. 
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A. D. Bendikov. On the spectrum of hierarchical Schr\"{o}dinger-type. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 2, Tome 221 (2023), pp. 20-30. http://geodesic.mathdoc.fr/item/INTO_2023_221_a2/

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