Analysis on graphs and its applications follow-up
AGAW06
26 July 2010 to 30 July 2010
Workshop theme
Supported by the Meiji Institute for Advanced Study of Mathematical Sciences; Meiji University Global Centre of Excellence Programme, National Science Foundation (NSF) and the Doppler Institute for Mathematical Physics and Applied Mathematics, Prague
The 2007 programme concentrated on three major intertwined areas: Analysis on Discrete Graphs (also called Discrete Geometric Analysis), Analysis on Fractals and Analysis on Quantum Graphs. Applications to various areas of mathematics, sciences, and engineering (specifically, to chemistry, optics, nano-technology, material science, waveguide theory, etc.) were also thoroughly discussed.
Since the end of the programme, many advances in these areas have occurred. Token examples could be the recent major progress in understanding of possibilities and limitations of graph modeling of meso-and nano-structures; spectral theory progress on quantum graphs, including for instance better understanding of the nodal structure of eigenfunctions and of structure of spectra of various important graph operators, as well as applications to vacuum energy and Casimir effect; discovering and exploring fruitful relations between the newly developed theory of self-similar groups and analysis on fractals; progress in analysis on covering graphs and in geometric crystallography, as well as in graph-theoretic zeta functions.
The workshop will assemble a diverse group of mathematicians and physicists working or interested in furthering the progress of this fast developing and fascinating inter-disciplinary area.
Keynote speakers:
- Brian Davies (Kings College London)
- Daniel Grieser (Carl von Ossietzky Universitat Oldenburg)
- Graeme Milton (University of Utah)
- Uzy Smilansky (Weizmann Institute of Science)
The application is closed
Timetable
| Monday 26th July 2010 | |||
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| 08:30 to 08:55 | No Room Required | ||
| 08:55 to 09:00 | No Room Required | ||
| 09:00 to 10:00 | Room 1 | 
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| 10:00 to 10:30 | No Room Required | ||
| 10:30 to 11:15 | Room 1 |
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| 11:15 to 12:00 | Room 1 |
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| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 14:45 | Room 1 |
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| 14:45 to 15:30 |
Many-particle systems on quantum graphs with singular interactions |
Room 1 |
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| 15:30 to 16:00 | No Room Required | ||
| 16:00 to 16:45 |
Recursive Algorithms Solving Inverse Problems on Quantum Graphs |
Room 1 |
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| 16:45 to 17:30 | Room 1 |
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| 17:30 to 17:45 | Room 1 |
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| 17:45 to 18:00 |
The Absence of Absolutely Continuous Spectra for Radial Tree Graphs |
Room 1 |
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| 18:00 to 19:00 | No Room Required | ||
| Tuesday 27th July 2010 | |||
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| 09:00 to 10:00 | Room 1 |
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| 10:00 to 10:30 | No Room Required | ||
| 10:30 to 11:15 | Room 1 |
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| 11:15 to 12:00 | Room 1 |
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| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 14:45 |
Uniqueness of Laplacian and Brownian motion on Sierpinski carpets |
Room 1 |
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| 14:45 to 15:30 | Room 1 |
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| 15:30 to 16:00 | No Room Required | ||
| 16:00 to 16:45 |
Some (noncommutative) geometrical aspects of the Sierpisnki gasket |
Room 1 |
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| 16:45 to 17:30 |
Relationship between scattering matrix and spectrum of quantum graphs |
Room 1 |
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| 17:30 to 17:45 | Room 1 |
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| 17:45 to 18:00 | Room 1 |
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| Wednesday 28th July 2010 | |||
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| 09:00 to 10:00 |
Complete characterization and synthesis of the response function of elastodynamic networks |
Room 1 |
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| 10:00 to 10:30 | No Room Required | ||
| 10:30 to 11:15 |
Unbounded Laplacians on graphs: Basic spectral properties and the heat equation |
Room 1 |
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| 11:15 to 12:00 | Room 1 |
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| 12:00 to 12:45 |
On some sharp spectral inequalities for Schrödinger operators on graphs |
Room 1 |
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| 12:45 to 13:00 |
Characterization of the static response of a two-dimensional elastic network |
Room 1 |
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| 13:00 to 14:00 | No Room Required | ||
| 19:30 to 22:00 | No Room Required | ||
| Thursday 29th July 2010 | |||
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| 09:00 to 10:00 | Room 1 |
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| 10:00 to 10:30 | No Room Required | ||
| 10:30 to 11:15 | Room 1 | ||
| 11:15 to 12:00 | Room 1 |
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| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 14:45 | Room 1 |
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| 14:45 to 15:30 | Room 1 |
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| 15:30 to 16:00 | No Room Required | ||
| 16:00 to 16:45 |
The continuous and discrete spectrum of an asymptotically straight leaky wire |
Room 1 |
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| 16:45 to 17:30 |
Discrete alloy type models: averaging and spectral properties |
Room 1 |
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| 17:30 to 17:45 |
Limits of self-similar graphs and criticality of the Abelian Sandpile Model |
Room 1 |
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| Friday 30th July 2010 | |||
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| 09:00 to 09:45 | Room 1 |
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| 09:45 to 10:30 | No Room Required | ||
| 10:30 to 11:15 |
Variations on discrete Floquet-Bloch Theory in positive characteristic |
Room 1 |
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| 11:15 to 12:00 | Room 1 |
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| 12:30 to 13:30 | No Room Required | ||
| 14:00 to 14:45 | Room 1 |
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| 14:45 to 15:30 | Room 1 |
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| 15:30 to 16:00 | No Room Required | ||
| 16:00 to 16:45 |
Absolutely continuous spectrum for trees of finite forward cone type |
Room 1 |
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| 16:45 to 17:30 | Room 1 |
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