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Books > Science & Mathematics > Mathematics > Algebra
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Random Trees - An Interplay between Combinatorics and Probability (Hardcover, 2009 ed.)
Loot Price: R4,077
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Random Trees - An Interplay between Combinatorics and Probability (Hardcover, 2009 ed.)
Expected to ship within 12 - 17 working days
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Trees are a fundamental object in graph theory and combinatorics as
well as a basic object for data structures and algorithms in
computer science. During
thelastyearsresearchrelatedto(random)treeshasbeenconstantlyincreasing
and several asymptotic and probabilistic techniques have been
developed in order to describe characteristics of interest of large
trees in di?erent settings.
Thepurposeofthisbookistoprovideathoroughintroductionintovarious
aspects of trees in randomsettings anda systematic treatment ofthe
involved mathematicaltechniques. It shouldserveasa
referencebookaswellasa basis for future research. One major
conceptual aspect is to connect combinatorial and probabilistic
methods that range from counting techniques (generating functions,
bijections) over asymptotic methods (singularity analysis, saddle
point techniques) to various sophisticated techniques in asymptotic
probab- ity (convergence of stochastic processes, martingales).
However, the reading of the book requires just basic knowledge in
combinatorics, complex analysis, functional analysis and
probability theory of master degree level. It is also part of
concept of the book to provide full proofs of the major results
even if they are technically involved and lengthy.
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