Strong factorization property of Macdonald polynomials and higher-order Macdonald’s positivity conjecture

Author:

Dołęga MaciejORCID

Funder

Narodowe Centrum Nauki

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference27 articles.

1. Borodin, A., Corwin, I.: Macdonald processes. Probab. Theory Relat. Fields 158(1–2), 225–400 (2014)

2. Dołęga, M., Féray, V.: Cumulants of Jack symmetric functions and $$b$$ b -conjecture. Trans. Am. Math. Soc. (2017). Preprint arXiv:1601.01501

3. Dołęga, M.: Top degree part in $$b$$ b -conjecture for unicellular bipartite maps. Preprint arXiv:1604.03288 (2016)

4. Dołęga, M., Śniady, P.: Gaussian fluctuations of Jack-deformed random Young diagrams (2017, in preparation)

5. Féray, V.: Asymptotic behavior of some statistics in Ewens random permutations. Electron. J. Probab. 18(76), 1–32 (2013)

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2. Algebras with two multiplications and their cumulants;Journal of Algebraic Combinatorics;2019-09-18

3. Macdonald cumulants,G-inversion polynomials andG-parking functions;European Journal of Combinatorics;2019-01

4. Cumulants of Jack symmetric functions and the $b$-conjecture;Transactions of the American Mathematical Society;2017-09-07

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