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Roch, Sébastien - Department of Mathematics, University of California at Los Angeles
Lecture 15 : Steel's conjecture MATH285K -Spring 2010 Lecturer: Sebastien Roch
Detection and Percolation on Mobile Geometric Graphs
Lecture 19 : Chinese restaurant process MATH285K -Spring 2010 Lecturer: Sebastien Roch
Outline Model Results Proofs Almost-Sure Process Level Large Deviations
Sequence alignment through TASEP MATH285K -Spring 2010 Presenter: Alexander Vandenberg-Rodes
Lecture 10 : Consistency Results MATH285K -Spring 2010 Lecturer: Sebastien Roch
On the Uniqueness of the Selection Criterion in NJ MATH285K -Spring 2010 Presenter: Selim Bahadir
Rick Durrett: Shuffling Chromosomes MATH285K -Spring 2010 Presenter: Joshua Hernandez
Uniformity of the Uncovered Set of Random Walk and Cutoff for Lamplighter Chains
Waiting Time for the Occurrence of a Pattern MATH285K -Spring 2010 Presenter: Pejman Mahboubi
Haplotyping as Perfect Phylogeny MATH285K -Spring 2010 Presenter: Hakan Seyalioglu
Lecture 4 : Complexity of Maximum Parsimony MATH285K -Spring 2010 Lecturer: Sebastien Roch
The evolution of the cover time U. C. Berkeley
Reconstruction on Trees: Exponential Moment Bounds for Linear Estimators
Towards Extracting All Phylogenetic Information from Matrices of Evolutionary Distances
Alignment-Free Phylogenetic Reconstruction Constantinos Daskalakis
Christian Borgs Microsoft Research New England
The large deviation principle for the Erdos-Renyi random graph
Cover times, blanket times and majorizing measures
Correspondence of Computational and Statistical Physics Thresholds
Planar Brownian motion Area of planar Brownian motion with drift
Phase transitions in NP-complete problems: a challenge for probability, combinatorics, and
Lecture 3 : Splits-Equivalence Theorem MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 5 : Approximating Maximum Parsimony MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 7 : Uniqueness of tree representation MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 12 : Ancestral Reconstruction by Majority MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 17 : Kingman's coalescent MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 20 : Infinite-sites model MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 21 : Tests of neutrality MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 23 : Estimating the recombination rate MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 25 : Fixation in the diffusion limit MATH285K -Spring 2010 Lecturer: Sebastien Roch
Strong Limit Theorems MATH285K -Spring 2010 Presenter: Forrest Crawford
Random walks on trees and matchings MATH285K -Spring 2010 Presenter: Ngoc Chi Le
An Evolutionary Model for Maximum Likelihood Alignment of DNA Sequences
Genealogical Interpretation of PCA -Gil McVean MATH285K -Spring 2010 Presenter: Darren Kessner
A Randomized Algorithm for PCA MATH285K -Spring 2010 Presenter: Ryan Compton
Lecture 2 : Counting X-trees MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 13 : Kesten-Stigum bound MATH285K -Spring 2010 Lecturer: Sebastien Roch
RECONSTRUCTION ON TREES: BEATING THE SECOND EIGENVALUE MATH285K -Spring 2010 Presenter: Wenjian Liu
Results on Reconstruction in Trees Nayantara Bhatnagar, Hebrew University of Jerusalem
Lecture 9 : Identifiability of Markov Models MATH285K -Spring 2010 Lecturer: Sebastien Roch
Continuous Retractions onto Tree Metrics MATH285K -Spring 2010 Presenter: Shagnik Das
Lecture 26 : Hill-Robertson interference MATH285K -Spring 2010 Lecturer: Sebastien Roch
Population Structure and Eigenanalysis Math 285K, Spring 2010
Lecture 6 : Quartet Theorem MATH285K -Spring 2010 Lecturer: Sebastien Roch
Materials and Methods 1.1 Phylogenies
Lecture 18 : Ewens' sampling formula MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 8 : Tree-metric theorem MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 22 : Recombination on 2 loci MATH285K -Spring 2010 Lecturer: Sebastien Roch
Geometry of the Space of Phylogenetic Trees MATH285K -Spring 2010
Markov Models on Trees: Reconstruction and Applications Sebastien Jocelyn Roch
Lecture 11 : Asymptotic Sample Complexity MATH285K -Spring 2010 Lecturer: Sebastien Roch
Species Tree and Most Likely Gene Tree MATH285K -Spring 2010 Presenter: Gabriela Cybis
Invariants in Phylogenetic Inference MATH285K -Spring 2010 Presenter: Neil Katuna
Lecture 24 : Wright-Fisher diffusion MATH285K -Spring 2010 Lecturer: Sebastien Roch
Inhomogeneous Continuity Equation with Application to Hamiltonian ODE
Lecture 16 : Fixation of a neutral mutation MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 14 : Eigenvector-based estimation MATH285K -Spring 2010 Lecturer: Sebastien Roch
Lecture 14 : Ergodic Theorem MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 15 : Proof of the Ergodic Theorem (cont'd) MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 3 : Martingales: definition, examples MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 2 : Conditional Expectation II MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 17 : Brownian motion: Definition MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 11 : UI MGs MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 19 : Brownian motion: Construction MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 6 : Branching Processes MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 9 : Martingales in L2 (continued)
Lecture 13 : UI MGs: Optional Sampling Thm MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 10 : Uniform integrability MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 4 : Martingales: gambling systems MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 21 : Markov property MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 13 : Stationary Stochastic Processes MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 19 : Brownian motion: Path properties I MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 20 : Path properties II MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 1 : Overview. Conditional Expectation I. MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 7 : Martingales bounded in L2 MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 16 : Subadditive Ergodic Theorem MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 8 : MGs in Lp MATH275B -Winter 2012 Lecturer: Sebastien Roch
Lecture 5 : Martingale convergence theorem MATH275B -Winter 2012 Lecturer: Sebastien Roch