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By organizing the Frankfurt Seminar Seminar on Random Discrete Structures and the workshop "Branching processes and random walks in random environment" the Institute for Mathematics at Goethe University Frankfurt-am-Main acknowledges the increasing influence of discrete structures, methods and algorithms in mathematics, particularly in connection with probability. Special emphasis is given to combinatorial stochastic processes, random trees, branching processes and random walks in random environment, probabilistic analysis of algorithms.