University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Anderson transition at 2D growth-rate for the Anderson model on antitrees with normalized edge weights

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Anderson transition at 2D growth-rate for the Anderson model on antitrees with normalized edge weights

Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani .

Periodic and Ergodic Spectral Problems

An antitree is a discrete graph that is split into countably many shells $S_n$ consisting of finitely many vertices so that all vertices in $S_n$ are connected with all vertices in the adjacent shells $S_{n+1}$ and $S_{n-1}$. We normalize the edges between $S_n$ and $S_{n+1}$ with weights to have a bounded adjacency operator and add an iid random potential. We are interested in the case where the number of vertices $# S_n$ in the $n$-th shell grows like $n^a$. In a particular set of energies we obtain a transition of the spectral type from pure point to partly s.c. to a.c. spectrum at $a=1$ which corresponds to the growth-rate in 2 dimensions.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Seminor Room, Dept. of Pathology, Tennis Court Road Hybrid seminar: Clinical School Seminar Room 3 & on Zoom (see Abstract for link) MR9 (Ground Floor Pavillion B)

Other talks

Talk TBC Title to be confirmed Title and abstract tba Polar Oceans Seminar Talk TBC Loke CTR Seminar Series - Vincent Pasque
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity