In Fall 2009 I teach Math230A/Stat310A
                      
                 
Theory of Probability.
                      
                 
Mathematical tools: asymptotics, metric spaces; measure and integration; Lp spaces; some Hilbert spaces theory. Probability: independence, Borel-Cantelli lemmas, almost sure and Lp convergence, weak and strong law of large numbers. Weak convergence and characteristic functions; central limit theorems; local limit theorems; Poisson convergence.
                      
                 


                      
                 
In Spring 2010 I will teach EE388
                      
                 
Modern Coding Theory.
                      
                 
This is an introduction to the fundamental tools for analysis and optimization of iterative coding systems. LDPC codes, Turbo codes, RA codes, Optimized ensembles, message passing algorithms, density evolution, analytic techniques.
                      
                 


                      
                 
In Spring 2010 I will also teach Stat 316 (with Amir Dembo)
                      
                 
Stochastic Processes on Graphs.
                      
                 
Local weak convergence, Gibbs measures on trees, cavity method, and replica symmetry breaking. Examples include random k-satisfiability, the assignment problem, sin glasses, and neural networks.
                      
                 


                      
                 



                      
                 
Winter 2007, EE374: Inference in Graphical Models.
                      
                 
Spring 2007, Stat218: Introduction to Stochastic Processes.
                      
                 


                      
                 
Fall 2007, Stat316: Stochastic Processes on Graphs.
                      
                 
Winter 2008, EE388: Modern Coding Theory.
                      
                 
Winter 2008, Stat350: Probabilistic Concepts in Statistical Physics and Information Theory.
                      
                 


                      
                 
Winter 2009, Stat 375 (once EE374): Inference in Graphical Models.
                      
                 
Winter 2009, Stat 319: Literature of Statistics.
                      
                 
Spring 2009, EE 388: Modern Coding Theory.
                      
                 


                      
                 
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