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1 94 Participants Participants 1 Arians, Silke Aachen silke@iram.rwth-aachen.de 2 Backer, Arnd Ulm baec@physik.uni-ulm.de 3 Baladi, Viviane Genf baladi@sc2a.unige.ch 4 Bauer, Gernot Miinchen bauer@rz.mathematik.uni-muenchen.de 5 Berndl, Karin Miinchen berndl@rz.mathematik.uni-muenchen.de 6 Chang, Cheng-Hung Clausthal ch.chang@tu-clausthal.de 7 Dierkes, Tanja Berlin dierkes@marie.physik.tu-berlin.de 8 Fassomytakis, J annis Miinchen fassomyt@rz.mathematik.uni-muenchen.de 9 Geyer, Lukas Berlin geyer@math.tu-berlin.de 10 von der Heyden, Arnd Aachen arnd@iram.rwth-aachen.de 11 Heise, Hella Berlin 12 Herbig, Hans-Christian Berlin 13 Hiivermann, Frank Berlin hoeverma@math.tu-berlin.de 14 Jung, Wolf Aachen jung@iram.rwth-aachen.de 15 Knauf, Andreas Berlin knauf@math.tu-berlin.de 16 Lorbeer, Boris Berlin lorbeer@math.tu-berlin.de 17 Nobbe, Burkhard Berlin nobbe@math.tu-berlin.de 18 ReuB, Alexander Marburg 19 Schubert, Roman Ulm schub@physik.uni-ulm.de 20 Sinai, Yakov Moskau Princeton sinai@math.princeton.edu 21 Spoddeck, Heike Berlin spoddeck@pils.physik.tu-berlin.de 22 Swat, Maciej Berlin maciej@emmi.physik.tu-berlin.de 23 Teschel, Gerald Aachen gerald@iram.rwth-aachen.de 24 Teufel, Stefan Miinchen 25 Verbitski, Evgueni Groningen verbitski@math.rug.nl 26 Ziewer, Lukas Bern ziewer@math-stat.unibe.ch
2 Participants 95 Participants of the seminar
3 96 Additional Talks Additional Talks V. Baladi A. Knauf Ya. Sinai Ya. Sinai A. Backer A. Backer C-H. Chang F. Hovermann W. Jung B. Nobbe G. Teschl A. Verbitzki Dynamical Zeta Functions for Pedestrians Topological Dynamics Hyperbolic Dynamical Systems Geodesic Flows on Compact Manifolds of Negative Curvature Mode Fluctuations as Fingerprints of Chaotic and Non-Chaotic Systems Symbolic Dynamics and Periodic Orbits for the Cardoid Billiard Dynamical Interpretation of Selberg Zeta Function Inverse Spectral Theory for 1-D Schrodinger Operators with Periodic Potential Inverse Scattering for the Dirac Equation 2-D Diffusion Inverse Theory and Trace Formulas for Discrete 1-D Schrodinger Equation Generalized Entropies
4 Index admissible sequence, 33 Anosov flows, 11 Anti-Wick quantization, 57 asymptotic completeness, 24 billiard, 27 Birkhoff Ergodic Theorem, 75 bound states, 23 canonical transformation, 63 Cantor set, 39 coherent states, 52 completeness asymptotic, 24 correlation function, 6 Coulombic potentials, 22, 41 counting trace, 8 cross section differential, 25 curvature, 29 function, 30 differential cross section, 25 dynamical system ergodic, 76 OC-system, 78 mixing, 78 uniquely ergodic, 76 weakly mixing, 78 dynamical zeta function, 8 effective potential, 25 Egorov Theorem, 66 energy shell, 61 ergodic components, 76 dynamical system, 76 Ergodic Hypothesis, 77 essential spectral radius, 5 expanding map, 83 flat trace, 8 Fourier Integral Operators, 64 Fredholm determinant generalized, 7 frequency set, 54 Gauss map, 11 generalized Fredholm determinant, 7 generating function, 63 groups of transformations, 77 Gutzwiller's formula, 72 n-admissible symbols, 59 n-pseudodifferential operator, 59 Hamilton-Jacobi equation, 65 harmonic analysis, 77 Husimi function, 52 impact parameter, 24 interval maps, 13 Jacobi coordinates, 28 Jacobi metric, 42 OC-system, 78 kneading matrix, 14 level repulsion, 71 Liouville metric, 87 locally expanding, 4 mixing dynamical system, 78 Moller transformations, 22 non-stationary phase, 55 nonshadowing condition, 27 number theory, 45 97
5 98 Index obstacles, 22 phase transitions, 83 Poincare map, 30 Poisson bracket, 57 potential short-range, 22 prime number theorem, 40 principal symbol, 59 pruning phenomenon, 40 quantization, 57 Anti-Wick, 57 Weyl,58 quantum cross section, 44 quantum dynamical entropy, 71 rainbow singularities, 26, 44 reduced phase space, 27 return time, 30 Rutherford cross section, 26 scars, 70 scattering states, 23 scattering transformation, 24 Schnirelman Theorem, 67 sequence admissible, 33 sharp trace, 14 shift, 36 short-range potential, 22 spectral gap, 6 spectral radius essential, 5 SRB measure, 40 time delay, 43 time involution, 30 transfer operator, 3 transition matrix, 39 transport equations, 65 unique quantum ergodicity, 70 uniquely ergodic dynamical system, 76 weakly mixing dynamical system, 78 weight, 3 Weyl asymptotics, 71, 90 operators, 51 quantization, 58 WKB approximation, 56 zeta function dynamical, 8 of a flow, 10
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