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Patterns in Permutations and Words

There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial poin...

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Autor principal: Kitaev, Sergey
Lenguaje:eng
Publicado: Springer 2011
Materias:
Acceso en línea:http://cds.cern.ch/record/1486215
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author Kitaev, Sergey
author_facet Kitaev, Sergey
author_sort Kitaev, Sergey
collection CERN
description There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan--Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, inclu
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spelling cern-14862152021-04-22T00:18:44Zhttp://cds.cern.ch/record/1486215engKitaev, SergeyPatterns in Permutations and WordsMathematical Physics and Mathematics There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan--Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, incluSpringeroai:cds.cern.ch:14862152011
spellingShingle Mathematical Physics and Mathematics
Kitaev, Sergey
Patterns in Permutations and Words
title Patterns in Permutations and Words
title_full Patterns in Permutations and Words
title_fullStr Patterns in Permutations and Words
title_full_unstemmed Patterns in Permutations and Words
title_short Patterns in Permutations and Words
title_sort patterns in permutations and words
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1486215
work_keys_str_mv AT kitaevsergey patternsinpermutationsandwords