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19229411 Seminar on Stochastics "Random Schrödinger Operators"

Summer Term 2024

Lecturer: Dr. Immanuel Zachhuber

  • Time and place: Thursday, 2:15pm--3:45pm, in SR 025/026, Arnimallee 6.

If you want to participate, please write an email to immanuel.zachhuber@fu-berlin.de

Prerequisites:  In order to take part it is important to have some knowledge on stochastic analysis (e.g. Stochastics III) and functional analysis although some talks will be more introductory and require less in background knowledge.
Target group:  Master students and BMS students.

Contents: We will largely follow the lecture notes “An Invitation to Random Schrödinger operators".

Depending on the number of participants, we might include extended discussions on topics like the spectral theory of unbounded operators, Anderson localisation, physical (Quantum Mechanical) interpretation amongst others.


18.04. Initial meeting, distribution of talks Immanuel Zachhuber
25.04. Introductory talk (roughly Ch. 1 & 2) Immanuel Zachhuber
02.05. Discrete Anderson model +spectral calculus (Ch. 3.1 & 3.2) N.N.
09.05. Christi Himmelfahrt  
16.05.  Spectral calculus (cont. rest of ch. 3) N.N.
23.05. Denstiy of States (Ch. 5) Part 1 N.N.
30.05. Denstiy of States (Ch. 5) Part 2 N.N.
06.06. Lifshitz Tails (Ch. 6) N.N.
13.06. No seminar  
20.06. Physical meaning of spectrum (Ch. 7) N.N.
27.06. Anderson localisation (Ch. 8) N.N.
04.07. Proof of Anderson Localisation (Ch. 9-10) Part 1 N.N.
11.07. Proof of Anderson Localisation (Ch. 9-10) Part 2 N.N.
18.07.   N.N.