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The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
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...
THE WEIGHTED TRANSIENCE AND RECURRENCE OF MARKOV PROCESSES
$w$-recurrence $w$-transience last exit time right process
2007/12/10
Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and charact...
Let (X, {\cal F}, l) be the unit circle \Bbb S1 = \{z \in \Bbb C : |z| = 1\} with the usual s-algebra {\cal F} of Lebesgue measurable subsets and the normalized Lebesgue measure l. Consider a sequence...