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E-raamat: Random Discrete Structures

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Random Discrete StructuresSuurem pilt
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The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.

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Springer Book Archives
Probability distributions on cladograms.- Stability of self-organizing
processes.- Some examples of normal approximations by Steins method.- Large
deviations for random distribution of mass.- Random minimax game tress.-
Metrics on compositions and coincidences among renewal sequences.- The no
long odd cycle theorem for completely positive matrices.- A note on
triangle-free graphs.- Intersections and limits of regenerative sets.- Random
processes of the form Xn+1 = anXn + bn (mod p) where bn takes on a single
value.- The second moment method, conditioning and approximation.- How fast
and where does a random walker move on a random tree?.- A note on recurrence,
amenability, and the universal cover of graphs.- On which graphs are all
random walks in random environments transient?.- Energy, and intersections of
Markov chains.
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