Carries, Shuffling, and an Amazing Matrix
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Publication:3107109
DOI10.4169/000298909X474864zbMath1229.60011arXiv0806.3583OpenAlexW2963795480WikidataQ58132503 ScholiaQ58132503MaRDI QIDQ3107109
Publication date: 1 January 2012
Published in: American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.3583
Permutations, words, matrices (05A05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Eigenvalues, singular values, and eigenvectors (15A18) Probability theory (educational aspects) (97K50) Combinatorics (educational aspects) (97K20)
Related Items (16)
Proof of a conjecture on the total positivity of amazing matrices ⋮ Analysis of casino shelf shuffling machines ⋮ A generalization of carries processes and Eulerian numbers ⋮ Carries and a map on the space of rational functions ⋮ Combinatorics of balanced carries ⋮ Noncommutative symmetric functions and an amazing matrix ⋮ A generalization of carries process and riffle shuffles ⋮ Gibbs sampling, conjugate priors and coupling ⋮ Combinatorics and Algebra of Geometric Subdivision Operations ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Determinantal formula for generalized riffle shuffle ⋮ Foulkes characters, Eulerian idempotents, and an amazing matrix ⋮ A rule of thumb for riffle shuffling ⋮ The Veronese construction for formal power series and graded algebras ⋮ Carries, shuffling, and symmetric functions ⋮ Log-concavity of asymptotic multigraded Hilbert series
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