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The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
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2011/9/20
Abstract: For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such partitions...
From flows of Lambda Fleming-Viot processes to lookdown processes via flows of partitions
Stochastic flow Fleming-Viot process Lookdown process Partition-valued process Coalescence Continuous state branching process Bridge
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2011/9/14
Abstract: We show that the lookdown process can be pathwise embedded into a stochastic flow of bridges (F_{s,t},s\leq t) associated to a \Lambda\ coalescent. Such a flow of bridges couples an infinite...
Large Deviations for Non-Crossing Partitions
Large Deviations Non-Crossing Partitions
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2011/8/23
Abstract: We prove a large deviations principle for the empirical law of the block sizes of a uniformly distributed non-crossing partition. As an application we obtain a variational formula for the ma...
Noncrossing Linked Partitions and Large (3,2)-Motzkin Paths
Noncrossing linked partition Schr¨oder path large (3, 2)-Motzkin path
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2010/11/26
Noncrossing linked partitions arise in the study of certain transforms in free probability theory. We explore the connection between noncrossing linked partitions and colored Motzkin paths.
Optimized Local Trigonometric Bases with Nonuniform Partitions
Optimized local trigonometric bases Bell functions Nonuniform partitions
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2007/12/12
The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed ba...