scholarly journals Precise asymptotics of longest cycles in random permutations without macroscopic cycles

Bernoulli ◽  
2021 ◽  
Vol 27 (3) ◽  
Author(s):  
Volker Betz ◽  
Julian Mühlbauer ◽  
Helge Schäfer ◽  
Dirk Zeindler
Keyword(s):  
Random Permutations ◽  
Precise Asymptotics ◽  
Longest Cycles

Isn't it eyeronic? Little evidence for consistent eye colour choices across relationships

2018 ◽  
Author(s):  
Amy Victoria Newman ◽  
Thomas V. Pollet ◽  
Kristofor McCarty ◽  
Nick Neave ◽  
Tamsin Saxton
Keyword(s):  
Good Evidence ◽  
Random Permutations ◽  
Three Samples ◽  
Eye Colour ◽  
A Priority

This study examined the anecdotal notion that people choose partners based on preferred characteristics that constitute their ‘type’. We gathered the eye colours of participants’ partners across their entire romantic history in three samples (student-centred, adult, and celebrity). We calculated the proportion of partners’ eye colours, and compared that to 100,000 random permutations of our observed dataset using t-tests. This was to investigate if the eye colour choices in the original datasets had greater consistency than in the permutations. Across all samples, we observed no good evidence that individuals make consistent eye colour choices, suggesting that eye colour may not be a priority when choosing a partner.

scholarly journals Permutations with equal orders

2021 ◽  
pp. 1-11
Author(s):  
Huseyin Acan ◽  
Charles Burnette ◽  
Sean Eberhard ◽  
Eric Schmutz ◽  
James Thomas
Keyword(s):  
Random Permutations

Abstract Let ${\mathbb{P}}(ord\pi = ord\pi ')$ be the probability that two independent, uniformly random permutations of [n] have the same order. Answering a question of Thibault Godin, we prove that ${\mathbb{P}}(ord\pi = ord\pi ') = {n^{ - 2 + o(1)}}$ and that ${\mathbb{P}}(ord\pi = ord\pi ') \ge {1 \over 2}{n^{ - 2}}lg*n$ for infinitely many n. (Here lg*n is the height of the tallest tower of twos that is less than or equal to n.)

scholarly journals Exact testing with random permutations

Test ◽  
2017 ◽  
Vol 27 (4) ◽  
pp. 811-825 ◽  
Author(s):  
Jesse Hemerik ◽  
Jelle Goeman
Keyword(s):  
Random Permutations

Tables of Random Permutations

1963 ◽  
Vol 31 (2) ◽  
pp. 261
Author(s):  
F. Peyrot ◽  
L. E. Moses ◽  
R. V. Oakford
Keyword(s):  
Random Permutations
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