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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)

A NATO Advanced Study Institute

Supersymmetry and Trace Formulae

at the Newton Institute, Cambridge, UK

8 - 20 September 1997

Monday 8 September

09:00 - 09:45 Registration and coffee

09.45 - 10.00 Opening remarks by HK Moffatt and IV Lerner

10:00 - 11:00 J Keating (Bristol) Semiclassical theory of spectral statistics and the Riemann zeros I

11:15 - 12:15B D Simons (Cambridge) Quantum chaos: lessons from disordered metals

12:30 - 14:00 Lunch

14:00 - 15:00 MC Gutzwiller (New York) The trace formula in atomic and molecular physics I

15:10 - 15:40 Tea

15.40 - 16.20 F Haake (Essen) Statistics of traces and secular coefficients for random unitary matrices

16:20 - 17:00 J Chalker (Oxford) What happens to the integer quantum hall effect in 3D

17:00 - 18:00 Wine reception

Tuesday 9 September

09:30 - 10:30 MC Gutzwiller (New York) The trace formula in atomic and molecular physics II

10:45 - 11:15 Coffee

11:15 - 12:15 P Cvitanovic (Copenhagen) Trace formulas in classical dynamical systems I

12:30 - 14:00 Lunch

14:00 - 15:00 BD Simons (Cambridge) Field theory of disordered conductors

15:10 - 15:40 Tea

15:40 - 16:20 EJ Heller (Harvard) Theory of wavefunction scarring

16:20 - 17:00 O Agam (Princeton) Nonequilibrium effects in the tunneling conductance of small metallic grains

Wednesday 10 September

09:30 - 10:30 EB Bogomolny (Orsay) On semiclassical theory of energy levels distribution I

10:45 - 11:15 Coffee

11:15 - 12:15 MR Zirnbauer (Cologne) Basic notions of analysis on supermanifolds

12:30 -14:00 Lunch

14:00 - 15:00P Cvitanovic (Copenhagen) Trace formulas in classical dynamical systems II

15:10 - 15:40 Poster highlights

15:40 - 16:10 Tea

16:30 - 18:30 Poster session

Thursday 11 September

09:30 - 10:30 U Smilansky (Rehovot) Semiclassical quantization of maps and spectral statistics I

10:45 - 11:15 Coffee

11:15 - 12:15 EB Bogomolny (Orsay) On semiclassical theory of energy levels distribution II

12:30 - 14:00 Lunch

14:00 - 15:00 J Keating (Bristol) Semiclassical theory of spectral statistics and the Riemann zeros II

15:10 - 15:40 Tea

15.40 - 16.20 MR Zirnbauer (Cologne) Riemannian symmetric superspaces and disordered single-particle systems

16:20 - 17:00 BD Simons (Cambridge) Towards a field theory of quantum chaos

18:00 - 19:30 Reception at the Cambridge University Press Bookshop

Friday 12 September

09:30 - 10:30 MV Berry (Bristol) Quantum indistinguishability

10:45 - 11:15 Coffee

11:15 - 12:15 MR Zirnbauer (Cologne) Supersymmetric field theory of chaotic maps

12:30 - 14:00 Lunch

14:00 - 15:00U Smilansky (Rehovot) Semiclassical quantization of maps and spectral statistics II

Afternoon free for sightseeing

Monday 15 September

09:30 - 10:30 S Fishman (Haifa) Wave functions, wigner functions and green functions of chaotic systems I

10:45 - 11:15 Coffee

11:15 - 12:15 P Sarnak (Princeton) On the scaling limit conjectures for enery levels in quantum chaos

12:30 - 14:00 Lunch

14:00 - 15:00 KB Efetov (Stuttgart) Wave functions in chaotic billiards I

15:10 - 15:40 Tea

15:40 - 16:20 A Mirlin (Karlsruhe) Correlations of eigenfunctions in disordered systems

16:20 - 17:00 M Srednicki (California) Correlations at large separation in chaotic eigenfunctions

Tuesday 16 September

09:30 - 10:30VE Kravtsov (Trieste) Level curvature distribution function beyond the zero-mode approximation

10:45 - 11:15 Coffee

11:15 - 12:15 S Fishman (Haifa) Wave functions, wigner functions and green functions of chaotic systems II

12:30 - 14:00 Lunch

14:00 - 15:00 P Sarnak (Princeton) The scaling limit distributions of of zeros of zeta functions

15:10 - 15:40 Tea

15:40 - 16:20 T Guhr (Max Planck Inst) Supersymmetric generalization of Dyson's Brownian motion (diffusion) and its applications

16:20 - 17:00 Y Fyodorov (Essen) Statistics of resonances in chaotic quantum scattering and non-hermitian random matrices

Wednesday 17 September

09:30 - 10:30KB Efetov (Stuttgart) Wave functions in chaotic billiards II

10:45 - 11:15 Coffee

11:15 - 12:15M Wilkinson (Strathclyde) Parametric random matrices: static properties

12:30 - 14:00 Lunch

14:00 - 15:00 VE Kravtsov (Trieste) Non-analyticity of the level curvature distribution function

15:10 - 15:40Tea

15:40 - 16:20 TBA

16:20 - 17:00 E Akkermans (Technion) Heat kernel and asymptotic behaviour of billiards in magnetic fields

19:00 Conference dinner at Sidney Sussex College

Thursday 18 September

09:30 - 10:30 DK Khmelnitskii (Cambridge) From classical to quantum kinetics I

10:45 - 11:15 Coffee

11:15 - 12:15 HA Weidenmüller (Heidelberg) Random matrix theory and mesoscopic systems I

12:30 - 14:00 Lunch

14:00 - 15:00M Wilkinson (Strathclyde) Parametric random matrices: dynamic properties

15:10 - 15:40Tea

15:40 - 16:20D Shepelyansky (Paul Sabatier) Relaxation process in a regime of quantum chaos

16:20 - 17:00B Shklovskii (Minnesota) TBA

Friday 19 September

09:30 - 10:30 HA Weidenmüller (Heidelberg) Random matrix theory and mesoscopic systems II

10:45 - 11:15 Coffee

11:15 - 12:15 MV Berry (Bristol) Speculations on the Riemann operator

12:30 - 14:00 Lunch

14:00 - 15:00 DK Khmelnitskii (Cambridge) From classical to quantum kinetics II

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