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Phase Transitions in Computation and Reconstruction
Mar 7, 2005 to Mar 11, 2005

Organizer(s)

Dimitris Achlioptas, Elchanan Mossel, Yuval Peres
To apply for funding, you must register by Fri, Jan 07 2005.
Phase transition is qualitative change in a system due to a small quantitative change of a parameter. Outside physics, such transitions have been empirically observed in diverse areas such as computational complexity, congestion phenomena and optimization.

The topics of this workshop include phase transitions in connection to random graphs, boolean functions, satisfiability problems, coding, reconstruction on trees and spinglasses.

Special focus will be given to the study of the interplay between the replica method, local weak convergence and algorithmic aspects of reconstruction.

A .pdf file is available with a list of speaker names and the title of their lecture.

Tentative Workshop Schedule
All sessions will be held in the Second Floor lecture Hall

Mon. March 7
9:45 Welcome
10-10:50 1. Yuval Peres (Berkeley): Phase Transitions in Reconstruction
11-11:30 coffee
11:30-11:50 2. Jennifer Chayes (Microsoft):Prehistoric Spin Glasses
12:00-12:20 3. James Martin (Jussieu & MSRI):Reconstruction on regular trees and the hard-core model
12:30-14:00 Lunch
14:00-14:20 4. Alistair Sinclair (Berkeley):Reconstruction problems on trees: a simple criterion for impossibility
14:30-14:50 5. Svante Janson: Robust Reconstruction on trees
15:00-16:00 Break
16:00-16:50 6. Friedgut (Evans-MSRI) talk:Hunting for Sharp Thresholds

Tue. March 8
9:30-9:50 7. Elchanan Mossel (Berkeley):
Phase transition in Phylogeny
10:00-10:20 8. David Levin (Utah & MSRI):Phase transition in reconstructing bias of bit sequences
10:30-11:00 Coffee
11:00-11:20 9. Mike Molloy (Toronto):Sharp thresholds for random constraint satisfaction problems
11:30-11:50 10. Ryan O'Donnell (Microsoft):Correlation Distillation On Trees
12:00-14:00 Lunch
14:00-14:20 11. Krzysztof Oleszkiewicz (Warsaw):An invariance principle, with some applications to Boolean functions
14:30-14:50 12. Sourav Chatterjee (Stanford):Universality results: A general approach
15:00-15:30 Coffee
15:30-15:50 13. Christian Borgs (Microsoft):Proof of the local REM-conjecture for number partitioning
16:00-16:40 14. B\'ela Bollob\'as (Memphis): Random Voronoi Percolation in the Plane

Wed. March 9
9:30-10:20 15. Riccardo Zecchina (ICTP):TBA
10:30-11:00 Coffee
11:00-11:20 16. Elitza Maneva (Berkeley):An alternative view of Survey Propagation for satisfiability
11:30-11:50 17. Balaji Prabhakar (Stanford):The asymptotic behavior of minimal matchings in the random assignment problem
12:00-12:20 18. Devavrat Shah (MSRI & MIT):Belief Propagation for finding Max Weight Matching

Thu. March 10
9:30-10:20 19. David Aldous (Berkeley):Local weak convergence and the cavity method
10:30-11:00 Coffee
11:00-11:20 20. David Gamarnik (IBM):Applications of the local weak convergence method to random graph problems
11:30-11:50 21. Greg Sorkin (IBM):A linear-expected-time algorithm for Max Cut on sparse random graphs
12:00-14:00 Lunch
14:00-14:20 22. Rick Kenyon (UBC):Simple random surfaces
14:30-14:50 23. Robin Pemantle (UPENN):The best path in a tree is hard to find
15:00-15:30 Coffee
15:30-15:50 24. Van Vu (UCSD):(Sharp) thresholds for random regular graphs

Fri. March 11
9:30-10:20 25. Marc Mezard (Paris Sud and MSRI): Hard constraints on random graphs: from lattice glasses to matching problems
10:30-11:00 Coffee
11:00-11:20 26. Dimitris Achlioptas:Random formulas have frozen variables
11:30-11:50 27. Andrea Montanari (Paris Sud and MSRI):Phase Transitions in Iterative Coding Systems
12:00-14:00 Lunch
14:00-14:20 28. Vladas Sidoravicius (IMPA & MSRI):TBA
14:30-14:50 30. David Revelle (Berkeley):Mixing times for random walks on finite lamplighter groups
15:00-15:30 Coffee
15:30-15:50 31. Roman Kotecky (Charles University and Microsoft):Phase coexistence and collapse of supersaturation


Lodging:
Rooms for this workshop are being held at the Rose Garden Inn at the special rate of $99/night, plus tax. To make reservations, please send an e-mail to: rosegardengm@aol.com. The cut-off date for reservations is Feb. 6!

For alternative, short-term accommodations, click here.

Funding

To apply for funding, you must register by Fri, Jan 07 2005. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Monday, March 07, 2005
10:00AM - 10:50AM Yuval Peres Phase Transitions in Reconstruction [Video available]
11:30AM - 11:50AM Jennifer Chayes Prehistoric Spin Glasses [Video available]
12:00PM - 12:30PM Svante Janson Robust Reconstruction on Trees [Video available]
2:00PM - 2:20PM James Martin Reconstruction on Regular Trees and the Hard-Core Model [Video available]
2:30PM - 2:50PM Elchanan Mossel Phase Transition in Phylogeny [Video available]
4:00PM - 4:50PM Ehud Friedgut Hunting for Sharp Thresholds
Tuesday, March 08, 2005
9:30AM - 9:50AM Alistair Sinclair Recontruction Problems on Trees: A Simple Criterion for Impossibility [Video available]
10:00AM - 10:20AM David Levin Phase Transition in Reconstructing Bias of Bit Sequences [Video available]
11:00AM - 11:20AM Mike Molloy Sharp Thresholds for Random Constraint Satisfaction Problems [Video available]
11:30AM - 11:50AM Ryan O\'Donnell Correlation Distillation On Trees [Video available]
2:00PM - 2:20PM Krzysztof Oleszkiewicz An Invariance Principle, with Some Applications to Boolean Functions [Video available]
2:30PM - 2:50PM Sourav Chatterjee Universality results: A General Approach [Video available]
3:30PM - 3:50PM Christian Borgs Proof of the Local REM-Conjecture for Number Partitioning. [Video available]
4:00PM - 4:40PM Random Voronoi Percolation in the Plane [Video available]
Wednesday, March 09, 2005
9:30AM - 10:20AM Riccardo Zecchina "1-RSB" Clustering and Algorithms for Random Constraint Satisfaction Problems [Video available]
11:00AM - 11:20AM Elitza Maneva An Alternative View of Survey Propagation for Satisfiability [Video available]
11:30AM - 11:50AM Balaji Prabhakar The Asymptotic Behavior of Minimal Matchings in the Random Assignment Problem [Video available]
12:00PM - 12:20PM Belief Propagation for finding Max Weight Matching [Video available]
Thursday, March 10, 2005
9:30AM - 10:20AM David Aldous Local Weak Convergence and the Cavity Method [Video available]
11:00AM - 11:20AM David Gamarnik Applications of the Local Weak Convergence Method to Random Graph Problems [Video available]
11:30AM - 11:50AM Gregory Sorkin A Linear-Expected-Time Algorithm for Max Cut on Sparse Random Graphs [Video available]
2:00PM - 2:20PM Richard Kenyon Simple Random Surfaces [Video available]
2:30PM - 2:50PM Robin Pemantle The Best Path in a Tree is Hard to Find
3:30PM - 3:50PM David Revelle Mixing Times for Random Walks on Finite Lamplighter [Video available]
3:50PM - 4:20PM Van Vu (Sharp) Thresholds for Random Regular Graphs [Video available]
4:20PM - 4:50PM Raissa D\'Souza Novel Behavior in a Simple Cellular Automaton Model of Traffic [Video available]
Friday, March 11, 2005
9:30AM - 10:20AM Marc Mezard Hard Constraints on Random Graphs: From Lattice Glasses to Matching Problems [Video available]
11:00AM - 11:20AM Dimitris Achlioptas Random Formulas Have Frozen Variables [Video available]
11:30AM - 11:50AM Andrea Montanari Phase Transitions in Iterative Coding Systems [Video available]
2:00PM - 2:20PM Roman Kotecky Phase Coexistence and Collapse of Supersaturation [Video available]
2:30PM - 2:50PM Vladas Sidoravicius A Few Problems Related to Percolation of Binary Sequences [Video available]
Parent Program(s):
Probability, Algorithms and Statistical Physics


Questions about this workshop should be sent either by email to
or by regular mail to:
Phase Transitions in Computation and Reconstruction
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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