I. Combinatorics and Random Structures -- Common Intervals of Permutations -- Overpartitions and Generating Functions for Generalized Frobenius Partitions -- Enumerative Results on Integer Partitions Using the ECO Method -- 321-Avoiding Permutations and Chebyshev Polynomials -- Iterated Logarithm Laws and the Cycle Lengths of a Random Permutation -- Transcendence of Generating Functions of Walks on the Slit Plane -- Some Curious Extensions of the Classical Beta Integral Evaluation -- Divisor Functions and Pentagonal Numbers -- II. Graph Theory -- On Combinatorial Hoeffding Decomposition and Asymptotic Normality of Subgraph Count Statistics -- Avalanche Polynomials of Some Families of Graphs -- Perfect Matchings in Random Graphs with Prescribed Minimal Degree -- Estimating the Growth Constant of Labelled Planar Graphs -- The Number of Spanning Trees in P4-Reducible Graphs -- III. Analysis of Algorithms -- On the Stationary Search Cost for the Move-to-Root Rule with Random Weights -- Average-Case Analysis for the Probabilistic Bin Packing Problem -- Distribution of Wht Recurrences -- Probabilistic Analysis for Randomized Game Tree Evaluation -- Polynomial Time Perfect Sampling Algorithm for Two-Rowed Contingency Tables -- An Efficient Generic Algorithm for the Generation of Unlabelled Cycles -- Using Tries for Universal Data Compression -- IV. Trees -- New Strahler Numbers for Rooted Plane Trees -- An Average-Case Analysis of Basic Parameters of the Suffix Tree -- Arms and Feet Nodes Level Polynomial in Binary Search Trees -- Random Records and Cuttings in Complete Binary Trees -- Multidimensional Interval Trees -- Edit Distance between Unlabelled Ordered Trees -- Number of Vertices of a Given Outdegree in a Galton-Watson Forest -- Destruction of Recursive Trees -- V. Probability -- Restrictions on the Position of the Maximum/Minimum in a Geometrically Distributed Sample -- Dual Random Fragmentation and Coagulation and an Application to the Genealogy of Yule Processes -- Semi-Markov Walks in Queueing and Risk Theory -- Representation of Fixed Points of a Smoothing Transformation -- Stochastic Fixed Points for the Maximum -- The Number of Descents in Samples of Geometric Random Variables -- Large Deviations for Cascades and Cascades of Large Deviations -- Partitioning with Piecewise Constant Eigenvectors -- Yaglom Type Limit Theorem for Branching Processes in Random Environment -- Two-Dimensional Limit Theorem for a Critical Catalytic Branching Random Walk -- VI. Combinatorial Stochastic Processes -- A Combinatorial Approach to Jumping Particles II: General Boundary Conditions -- Stochastic Deformations of Sample Paths of Random Walks and Exclusion Models -- A Markov Chain Algorithm for Eulerian Orientations of Planar Triangular Graphs -- Regenerative Composition Structures: Characterisation and Asymptotics of Block Counts -- Random Walks on Groups With a Tree-Like Cayley Graph -- Nested Regenerative Sets and Their Associated Fragmentation Process -- VII. Applications -- Real Numbers with Bounded Digit Averages -- Large Deviation Analysis of Space-Time Trellis Codes -- A Zero-One Law for First-Order Logic on Random Images -- Coarse and Sharp Transitions for Random Generalized Satisfyability Problems -- Stochastic Chemical Kinetics with Energy Parameters -- Large Deviations of Bellinger Distance on Partitions -- Estimation of the Offspring Mean for a General Class of Size-Dependent Branching Processes. Application to Quantitative Polymerase Chain Reaction -- A Constrained Version of Sauer's Lemma -- Author Index.