منابع مشابه
Shuffles and Synchronized Shuffles: A Survey
We present an overview of different approaches to define shuffles and synchronized shuffles of words. The shuffle operations considered are distinguished by conditions according to which certain occurrences of symbols common to the original words may or must be identified (synchronized). The words that are shuffled may be infinite which leads to the possibility of unfair shuffling. In addition ...
متن کاملMixable Shuffles, Quasi-shuffles and Hopf Algebras
The quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two generalizations and realize quasi-shuffle product algebras as subalgebras of mixable shuffle product algebras. As an application, we obtain Hopf algebra structures in free Rota-Baxter algebras.
متن کاملQuasi-shuffles, Mixable Shuffles and Hopf Algebras
The quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two generalizations and realize quasi-shuffle product algebras as subalgebras of mixable shuffle product algebras. This allows us to extend a previous result of Hopf algebra structure on Baxter algebras.
متن کاملSynchronized shuffles
Weextend the basic shuffle onwords and languages, awell-known operation in theoretical computer science, by introducing three synchronized shuffles. These synchronized shuffles have some relevance to molecular biology since they may be viewed as the formal representations of various forms of gene linkage during genome shuffling. More precisely, each synchronized shuffle preserves the genetic ba...
متن کاملRapid mixing of dealer shuffles and clumpy shuffles
A famous result of Bayer and Diaconis [2] is that the Gilbert-Shannon-Reeds (GSR) model for the riffle shuffle of n cards mixes in 3 2 log2 n steps and that for 52 cards about 7 shuffles suffices to mix the deck. In this paper, we study variants of the GSR shuffle that have been proposed to model more realistically how people actually shuffle a deck of cards. The clumpy riffle shuffle and deale...
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ژورنال
عنوان ژورنال: The Vernal Pool
سال: 2018
ISSN: 2375-7337
DOI: 10.5070/v351041380