Welcome to toywiki
Burke property
Burke's theorem
Cauchy-Littlewood identities
Crystal graphs of type A and the Robinson-Schensted algorithm
Discrete directed last passage percolations and directed polymers
Connection between various RS(K) algorithms and directed last passage percolation / directed polymer models
Doob's \(h\)-transform
Dynamics of type-A Pitman's transform
Equivalence between the Markov-Doob integrability and the local move integrability for usual-spec Macdonald RSK-type dynamics
Geometric distributions
Greene's theorem
Hypergeometric distributions
Local move integrability
Macdonald polynomials
Explicit formula of Macdonald polynomials
Macdonald processes and measures
Macdonald-RSK local move integrability
Usual-spec Markov-Doob integrability for Macdonald processes
Markov-Doob integrable dynamics on triangular arrays
Markov-Doob integrability
Markov-Doob integrability on triangular arrays
Markov Duality
Markov function theorem
List of Notations
Pitman's transform
Pitman's transform of type A
\(q\)-Pochhammers
Random variable monads
Representation theory of sl(n; C)
Robinson-Schensted algorithm
Robinson-Schensted-Knuth algorithms
Root Systems
RS algorithms as type-A Pitman's transforms
RSK algorithms as path transformations
RSK-type dynamics
The search for Macdonald RSK
Simple symmetric functions
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Young tableaux and Gelfand-Tsetlin patterns

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Yuchen Pei is the creator of toywiki. He is also the only author and contributor...until you make a contribution. The best way to do so is opening an issue at Github.

His research is supported by Center of Mathematical Sciences and Applications (CMSA) at Harvard University.