1 July - 19 December 1997

**Organisers**:JP Keating (*Bristol*), DE Khmelnitskii (*Cambridge*), IV Lerner (*Birmingham*), P Sarnak (*Princeton*)

This meeting comprises an advanced school that presents an account of the quantum properties of chaotic and disordered systems. The courses will include lectures on semiclassical and field-theoretic methods, fluctuation statistics of spectra and eigenfunctions, localization, and quantum ergodicity. The school is directed towards advanced graduate students, postdoctoral fellows and researchers.

**Organising Committee**

JP Keating (Bristol), DE Khmelnitskii (Cambridge), IV Lerner (Birmingham)

**Monday 28 July**

08.30 - 09.45 *Registration*

09.45 - 10.00 H K Moffatt and J P Keating

*Opening remarks*

10.00 - 11.00 D E Khmelnitskii (Cambridge)

*Disorder and localization*

11.00 - 11.30 Coffee

11.30 - 12.30 S Fishman (Haifa)

*Quantum localization*

12.30 - 14.00 Lunch

14.00 - 15.00 S Fishman (Haifa)

*Quantum localization (cont)*

15.00 - 16.00 I Goldsheid (QMW, London)

*Localization theory: rigorous results*

16.00 - 16.30 Tea

16.30 - 17.30 I Goldsheid (QMW, London)

*Localization theory: rigorous results (cont)*

17.30 - 18.00 *Informal discussion/consultation period*

18.00 - 19.00 *Reception*

**Tuesday 29 July**

09.00 - 10.00 E B Bogomolny (Orsay)

*Coin tossing dynamics*

10.00 - 11.00 E B Bogomolny (Orsay)

*Coin tossing dynamics (cont)*

11.00 - 11.30 Coffee

11.30 - 12.30 M Wilkinson (Strathclyde)

*Dynamics of complex quantum systems*

12.30 - 14.00 Lunch

14.00 - 15.00 M Wilkinson (Strathclyde)

*Dynamics of complex quantum systems (cont)*

15.00 - 16.00 M V Berry (Bristol)

*Quantum mechanics and the Riemann zeros*

16.00 - 16.30 Tea

16.30 - 17.30 M V Berry (Bristol)

*Quantum mechanics and the Riemann zeros (cont)*

17.30 - 18.30* Informal discussion/consultation period*

**Wednesday 30 July**

09.00 - 10.00 D E Khmelnitskii (Cambridge)

*Quantum field theories in disordered systems*

10.00 - 11.00 M R Zirnbauer (Köln)

*From the Wigner-Dyson ensembles to the Calogero-Sutherland model*

11.00 - 11.30 Coffee

11.30 - 12.30 M R Zirnbauer (Köln)

*From the Wigner-Dyson ensembles to the Calogero-Sutherland model (cont)*

12.30 - 14.00 Lunch

14.00 - 15.00Y G Sinai (Princeton)

*Method of momentum in the theory of random matrices*

15.00 - 18.30 Posters and Informal discussion/consultation period

**Thursday 31 July**

09.00 - 10.00 I V Lerner (Birmingham)

*Level statistics in disordered conductors*

10.00 - 11.00 I V Lerner (Birmingham)

*Level statistics in disordered conductors (cont)*

11.00 - 11.30 Coffee

11.30 - 12.30 V Falko (Lancaster)

*Statistics of wave functions in disordered cavities*

12.30 - 14.00 Lunch

14.00 - 15.00 V Falko (Lancaster)

*Statistics of wave functions in disordered cavities (cont)*

15.00 - 16.00 S Zelditch (Baltimore)

*Rigorous results on energy level spacings: what is known and how to
prove it*

16.00 - 16.30 Tea

16.30 - 17.30 S Zelditch (Baltimore)

*Rigorous results (cont)*

17.30 - 18.30 Informal discussion/cosultation period

**Friday 1 August**

09.00 - 10.00B V Spivak (Seattle)

*Mesoscopic effects in superconductors*

10.00 - 11.00 B V Spivak (Seattle)

*Mesoscopic effects in superconductors (cont)*

11.00 - 11.30 Coffee

11.30 - 12.30 A Altland (Cambridge)

*Selected topics in mesoscopic superconductivity*

12.30 - 14.00 Lunch

14.00 - 15.00 A Altland (Cambridge) *(cont)*

15.00 - 16.00 U Smilansky (Rehovot)

*Quantum chaos on graphs*

16.00 - 16.30 Tea

16.30 - 17.30 U Smilansky (Rehovot)

*Quantum chaos on graphs (cont)*

17.30 The end