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Universality in Polytope Phase Transitions and Message Passing Algorithms
Nonlinear mapping symmetric random matrix spin glass theory approximate messaging algorithm
2015/8/21
We consider a class of nonlinear mappings FA;N in RN indexed by symmetric random matrices A 2 RNN with independent entries. Within spin glass theory, special cases of these mappings correspond to ite...
Transitions in active rotator systems: invariant hyperbolic manifold approach
Active rotator model Coupled excitable systems Interacting diffusions FokkerPlanck PDE Normally hyperbolic manifolds Pulsating waves
2011/7/7
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynami...