Random Discrete Structures (The IMA Volumes in Mathematics and its Applications, 76)

David Aldous; Robin Pemantle (editors)

ISBN 10: 0387946233 / ISBN 13: 9780387946238

Editore: Springer, 1995

Riguardo questo articolo

First printing (number line). Hardcover, no dust jacket (likely as issued). The book condition is Near Fine. Pages are bright, clean, and clear of writing, markings, highlighting, etc. Binding tight. Hinges tight. Small dings on top of text block which lightly warped a few page top corners. Hardcover boards have a few deeper scratches across. Hardcover board corners bumped and curled inwards. Top/bottom of spine bumped. A few dings along board edges. Codice articolo ABE-1738689262312

Dati bibliografici

Titolo: Random Discrete Structures (The IMA Volumes ...

Casa editrice: Springer

Data di pubblicazione: 1995

Legatura: Hardcover

Condizione: Near Fine

Descrizione articolo

Riassunto:

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.

Contenuti:

Probability distributions on cladograms.- Stability of self-organizing processes.- Some examples of normal approximations by Stein’s 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.