Isaac Newton Institute for Mathematical Sciences

Disordered Systems and Quantum Chaos

1 July - 19 December 1997

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

EC Summer School

Disordered Systems and Quantum Chaos

at the Newton Institute, Cambridge, UK

28 July - 1 August 1997

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)

Programme (updated 24/07/97)

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

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