Algorithmic probability and combinatorics : AMS Special Sessions on on Algorithmic Probability and Combinatorics October 5 6 2007 DePaul University Chicago Illinois October 4 5 2008 University of British Columbia Vancouver BC Canada Walks with small steps in the quarter plane Mireille Bousquet Mélou and Marni Mishna Quantum random walk on the integer lattice : examples and phenomena Andrew Bressler ... [et al.] A case study in bivariate singularity analysis Timothy DeVries Asymptotic normality of statistics on permutation tableaux Paweł Hitczenko and Svante Janson Rotor walks and Markov chains Alexander E. Holroyd and James Propp Approximate enumeration of self avoiding walks E.J. Janse van Rensburg Fuchsian differential equations from modular arithmetic Iwan Jensen Random pattern avoiding permutations Neal Madras and Hailong Liu Analytic combinatorics in d variables : an overview Robin Pemantle Asymptotic expansions of oscillatory integrals with complex phase Robin Pemantle and Mark C. Wilson