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We derive a closed-form expression for all genus 1 Hurwitz numbers, and give a simple new graph-theoretic interpretation of Hurwitz numbers in genus 0 and 1. (Hurwitz numbers essentially count irred...
Spectral Analysis for Discrete Longitudinal Data.
I. P. GOULDEN, D. M. JACKSON AND R. VAKILConjecture. The approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the \polynomiality" of Hurwitz numbers, from which we pick...
I. P. GOULDEN, D. M. JACKSON AND R. VAKILConjecture. The approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the \polynomiality" of Hurwitz numbers, from which we pick...
RIFFLE SHUFFLES,CYCLES,AND DESCENTS     Ripples disturb  cycle  drops       2015/7/14
RIFFLE SHUFFLES,CYCLES,AND DESCENTS。
LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS。
Walks on generating sets of Abelian groups。
The cutoff phenomenon in finite Markov chains。
Markov chains on finite sets are used in a great variety of situations to approximate, understand and sample from their limit distribution. A familiar example is provided by card shufflin...
Matchings and phylogenetic trees。
From shuffling cards to walking around the building:An Inetroduction to modern markov chain theory。
We study a Markov chain on generating n-tuples of a ®xed group which arises in algorithms for manipulating ®nite groups. The main tools are comparison of two Markov chains on di€erent...
What Do We Know about the Metropolis Algorithm.
Performance characteristics of Bayes estimates are studied. More exactly, for each subject in a data set, let 5 be a vector of binary covariates and let Y be a normal response variable, with E{YIE...

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