Spectral Properties of Quantum Walks on Rooted Binary Trees
β Scribed by Joye, Alain; Marin, Laurent
- Book ID
- 125364443
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 426 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Denote by \(S_{n}\) the set of all distinct rooted binary trees with \(n\) unlabeled vertices. Define \(\sigma_{n}\) as a total height of a tree chosen at random in the set \(S_{n}\), assuming that all the possible choices are equally probable. The total height of a tree is defined as the sum of the
Let A be the automorphism group of the one-rooted regular binary tree T and 2 G the subgroup of A consisting of those automorphisms admitting a ''finite Ε½ . description'' in their action on T . Let N G be the normaliser of G in A, let 2 A Ε½ . Ε½ . Aut G be the group of automorphisms of G, and let End