Book contents
- Frontmatter
- Contents
- List of Contributors
- Preface
- 1 Probabilizing Fibonacci Numbers
- 2 On the Number of ON Cells in Cellular Automata
- 3 Search for Ultraflat Polynomials with Plus and Minus One Coefficients
- 4 Generalized Gončarov Polynomials
- 5 The Digraph Drop Polynomial
- 6 Unramified Graph Covers of Finite Degree
- 7 The First Function and Its Iterates
- 8 Erdős, Klarner, and the 3x + 1 Problem
- 9 A Short Proof for an Extension of the Erdős–Ko–Rado Theorem
- 10 The Haight–Ruzsa Method for Sets with More Differences than Multiple Sums
- 11 Dimension and Cut Vertices: An Application of Ramsey Theory
- 12 Recent Results on Partition Regularity of Infinite Matrices
- 13 Some Remarks on π
- 14 Ramsey Classes with Closure Operations (Selected Combinatorial Applications)
- 15 Borsuk and Ramsey Type Questions in Euclidean Space
- 16 Pick's Theorem and Sums of Lattice Points
- 17 Apollonian Ring Packings
- 18 Juggling and Card Shuffling Meet Mathematical Fonts
- 19 Randomly Juggling Backwards
- 20 Explicit Error Bounds for Lattice Edgeworth Expansions
- References
19 - Randomly Juggling Backwards
Published online by Cambridge University Press: 25 May 2018
Book contents
- Frontmatter
- Contents
- List of Contributors
- Preface
- 1 Probabilizing Fibonacci Numbers
- 2 On the Number of ON Cells in Cellular Automata
- 3 Search for Ultraflat Polynomials with Plus and Minus One Coefficients
- 4 Generalized Gončarov Polynomials
- 5 The Digraph Drop Polynomial
- 6 Unramified Graph Covers of Finite Degree
- 7 The First Function and Its Iterates
- 8 Erdős, Klarner, and the 3x + 1 Problem
- 9 A Short Proof for an Extension of the Erdős–Ko–Rado Theorem
- 10 The Haight–Ruzsa Method for Sets with More Differences than Multiple Sums
- 11 Dimension and Cut Vertices: An Application of Ramsey Theory
- 12 Recent Results on Partition Regularity of Infinite Matrices
- 13 Some Remarks on π
- 14 Ramsey Classes with Closure Operations (Selected Combinatorial Applications)
- 15 Borsuk and Ramsey Type Questions in Euclidean Space
- 16 Pick's Theorem and Sums of Lattice Points
- 17 Apollonian Ring Packings
- 18 Juggling and Card Shuffling Meet Mathematical Fonts
- 19 Randomly Juggling Backwards
- 20 Explicit Error Bounds for Lattice Edgeworth Expansions
- References
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- Connections in Discrete MathematicsA Celebration of the Work of Ron Graham, pp. 305 - 320Publisher: Cambridge University PressPrint publication year: 2018
References
ABCN. , , , and . Multivariate juggling probabilities. Preprint 2014. http://arxiv.org/abs/1402.3752
ABCLN. , , , , and . Bumping sequences and multispecies juggling. Preprint 2015. http://arxiv.org/abs/1504.02688
BEGW94. , , , and . Juggling drops and descents. Amer. Math. Monthly 101 (1994), 507–519. Reprinted with new appendix in the Canadian Mathematical Society, ConferenceProceedings, Vol. 20, 1997. http://www.math.ucsd.edu/∼ronspubs/94_01a_ juggling.pdfGoogle Scholar
BG10. and . Enumerating (multiplex) juggling sequences. Ann. Combinat. 13 (2010), 413–424. http://www.math.ucsd.edu/∼ronspubs/10_03_multiplex.pdfGoogle Scholar
CG08. and . Primitive juggling sequences. Amer. Math. Monthly 115 (March 2008), 185–194. http://www.math.ucsd.edu/ ∼ronspubs/08_03_primitive_juggling.pdfGoogle Scholar
ER96. and . Juggling and applications to qanalogues. Discrete Math. 157 (1996), 107–125. http://www.ms.uky.edu/ ∼jrge/Papers/Juggle.pdfGoogle Scholar
ELV15. , , and . Geometric juggling with q-analogues. Discrete Math. 338 (2015), pp. 1067–1074. http:// arxiv.org/abs/1310.2725Google Scholar
KLS13. , , and . Positroid varieties: Juggling and geometry. Compositio Mathematica 149, no. 10 (October 2013), pp. 1710–1752. http://arxiv.org/abs/1111.3660Google Scholar
LV12. and . Juggler's exclusion process. J. Appl. Prob. 49(1), 2012, pp. 266–279. http://arxiv.org/abs/1104.3397Google Scholar
Pos. , Total positivity, Grassmannians, and networks. http:// arxiv.org/abs/math/0609764
Va14. , Toss and spin juggling state graphs. Proceedings of Bridges 2014, pp. 301–308, 2014. http://arxiv.org/abs/1405.2628
Wa05. , Juggling probabilities. Amer. Math. Monthly 112, no. 2 (2005), 105–118. http://arxiv.org/abs/math/0302257Google Scholar
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