Zobrazeno 1 - 10
of 111
pro vyhledávání: '"James Propp"'
Autor:
Caleb Ji, James Propp
Publikováno v:
Enumerative Combinatorics and Applications, Vol 1, Iss 1, p Article S2R1 (2020)
Externí odkaz:
https://doaj.org/article/f1b2b2003c934429b528a2f0d0cd188c
Autor:
David Einstein, Miriam Farber, Emily Gunawan, Michael Joseph, Matthew Macauley, James Propp, Simon Rubinstein-Salzedo
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
We introduce n(n − 1)/2 natural involutions (“toggles”) on the set S of noncrossing partitions π of size n, along with certain composite operations obtained by composing these involutions. We show that for many operations T of this kind, a sur
Externí odkaz:
https://doaj.org/article/7cc1d6b1126940e78b239ad132b9ce89
Autor:
David Einstein, James Propp
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)
We define piecewise-linear and birational analogues of toggle-involutions, rowmotion, and promotion on order ideals of a poset $P$ as studied by Striker and Williams. Piecewise-linear rowmotion relates to Stanley's transfer map for order polytopes; p
Externí odkaz:
https://doaj.org/article/3eae2c6838fb445db59e339ec1fdc61a
Autor:
James Propp, Tom Roby
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
Many cyclic actions $τ$ on a finite set $\mathcal{S}$ ; of combinatorial objects, along with a natural statistic $f$ on $\mathcal{S}$, exhibit ``homomesy'': the average of $f$ over each $τ$-orbit in $\mathcal{S} $ is the same as the average of $f$
Externí odkaz:
https://doaj.org/article/501a76cd3e8447d9b60b4059d634e77e
Autor:
James Propp
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AA,..., Iss Proceedings (2001)
I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, three-colorings, monotone triangles, tetr
Externí odkaz:
https://doaj.org/article/ffa0119c56624f299e9c07d862aff56d
Autor:
Rupert Li, James Propp
Publikováno v:
Random Structures & Algorithms. 62:645-666
Autor:
James Propp
Publikováno v:
Math Horizons. 29:16-19
Autor:
James Propp
Publikováno v:
Journal of Humanistic Mathematics. 11:451-464
Who gets called a genius, and why? What effect does having a special category of people called "geniuses" have on an intellectual community and on individuals within it? Drawing on my own experience, and reflecting on writings by Moon Duchin, Elizabe
Autor:
James Propp
Publikováno v:
The Mathematical Intelligencer. 43:40-46
Autor:
David M. Einstein, James Propp
Publikováno v:
Algebraic Combinatorics. 4:201-224
This article illustrates the dynamical concept of $homomesy$ in three kinds of dynamical systems -- combinatorial, piecewise-linear, and birational -- and shows the relationship between these three settings. In particular, we show how the rowmotion a