Equilibrium and ageing in glassy systems

• Applicant: Professor Dr. Anton Bovier
• Subject Area: Mathematics
• Term: from 2003 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5470024

• Final Report Year: 2010

Final Report Abstract

No abstract available

Publications

• A microscopic interpretation for adaptive Dynamics trait substitution sequence models. Stochastic Processes and their Applications, Vol. 116. 2006, Issue 8, pp. 1127–1160.
  N. Champagnat
  
• A tomography of the CREM: beyond the REM conjecture. Communications in Mathematical Physics, Vol. 263. 2006, Issue 2, pp. 535-552.
  A. Bovier, I. Kurkova
  
• Local energy statistics in disordered systems: a proof of the local REM conjecture. Communications in Mathematical Physics, Vol. 263. 2006, Issue 2 , pp. 513-533.
  A. Bovier, I. Kurkova.
  
• Statistical mechanics of disordered systems. A mathematical 'perspective. Cambridge Series in Statistical and Probabilistic Mathematics, 2006, Cambridge University Press.
  A. Bovier
  
• Evolution of discrete populations and the canonical diffusion of adaptive dynamics. Annals of Applied Probability, Vol. 17. 2007, Number 1, pp. 102-155.
  N. Champagnat, A. Lambert
  
• Invasion and adaptive evolution for individual-based spatially structured populations. Journal of Mathematical Biology, Vol. 55. 2007, Issue 2, pp. 147-188.
  N. Champagnat, S. Meleard
  
• Poisson convergence in the restricted kpartitioning problem. Random Structures & Algorithms, Vol. 30. 2007, Issue 4, pp. 505–531.
  A. Bovier, I. Kurkova
  
• Spin glasses. Lecture Notes in Mathematics Vol. 1900, Springer, Berlin, 2007.
  E. Bolthausen, A. Bovier (Eds.)
  
• Fluctuations of the partition function in the generalized random energy model with external field. Journal of Mathematical Physics > Volume 49. 2008, Issue 12, 125202.
  A. Bovier, A. Klimovsky
  
• Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions. Electronic Journal of Probability, Vol. 13. 2008, no. 25, pp. 777-810.
  N. Champagnat, S. Roelly
  
• Sums of correlated exponentials: two types of Gaussian correlation structures. Dissertation, Fakultät II – Mathematik und Naturwissenschaften der Technischen Universität Berlin, 2008.
  A. Klimovsky
  
• Survival, complete convergence and decay of correlations for a spatial branching system with local regulation. Dissertation, Fakultät II – Mathematik und Naturwissenschaften der Technischen Universität Berlin, 2008.
  A. Depperschmidt
  
• Universality of random energy model-like ageing in mean field spin glasses. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, Issue 4, L04003.
  G. Ben Arous, A. Bovier, J. Cerny.
  
• Universality of the REM for dynamics of mean-field spin glasses. Communications in Mathematical Physics, Vol. 282. 2008, Issue 3, pp. 663-695.
  G. Ben Arous, A. Bovier, J. Cerny
  
• Metastability. In: Methods of contemporary mathematical statistical Mechanics, R. Kotecky, Ed. Lecture Notes in Mathematics, Vol. 1970, pp. 177-222. Springer, 2009.
  A. Bovier
  
• Spin Glasses: Statics and Dynamics, Progress in Probability, Vol. 62. 2009, Summer School, Paris 2007.
  A. Boutet de Monvel, A. Bovier (Eds.)
  
• The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins. Electronic Journal of Probability, Vol. 14.2009, No. 8, pp. 161-241.
  A. Bovier, A. Klimovsky
  
• Homogeneous nucleation for giauber and kawasaki dynamics in large volumes and low temperature. Annals of Probability, Vol. 38. 2010, Number 2, pp. 661-713.
  A. Bovier, F. den Hollander, C . Spitoni