Lumpings of Algebraic Markov Chains Arise from Subquotients

Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin Types A, B and D

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Markov chains, ${\mathscr R}$-trivial monoids and representation theory

(2015) Arvind Ayyer et al.   INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION

Hopf algebras and Markov chains: two examples and a theory

(2013) Persi Diaconis et al.   JOURNAL OF ALGEBRAIC COMBINATORICS

Algebraic and combinatorial structures on pairs of twin binary trees

(2012) Samuele Giraudo   JOURNAL OF ALGEBRA

A rule of thumb for riffle shuffling

(2011) Sami Assaf et al.   ANNALS OF APPLIED PROBABILITY

Functions of random walks on hyperplane arrangements

(2010) Christos A. Athanasiadis et al.   ADVANCES IN APPLIED MATHEMATICS

The $(1-\mathbb{E})$ -transform in combinatorial Hopf algebras

(2010) Florent Hivert et al.   JOURNAL OF ALGEBRAIC COMBINATORICS

Algebraic structures on Grothendieck groups of a tower of algebras

(2009) Nantel Bergeron et al.   JOURNAL OF ALGEBRA

Commutation relations and Markov chains

(2008) Jason Fulman   PROBABILITY THEORY AND RELATED FIELDS

A Markov Chain on Permutations which Projects to the PASEP

(2007) S. Corteel et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES