Results 21 to 30 of about 70 (54)
Detecting the body's reproductive hormonal brake against tissue overgrowth: Micrin/SgII-70. [PDF]
Hart JE +5 more
europepmc +1 more source
We consider the following card guessing game with feedback, introduced in [BD92]. An initially ordered deck of cards is shuffled via one or several riffle shuffles (or more generally: one a-shuffle). The player guesses the card on top of the deck, then looks at that card. The player then guesses the next card, looks at that card etc.
openaire +1 more source
Determinantal formula for generalized riffle shuffle [PDF]
We consider a generalized riffle shuffle on the colored permutation group $G_{p, n}$ and derive a determinantal formula for the probability of finding descents at given positions, proof of which is based on the bijection between the set of shuffles in question and that of non-intersecting lattice paths.
Fumihiko Nakano, Taizo Sadahiro
exaly +4 more sources
Cutoff for the asymmetric riffle shuffle
In the Gilbert-Shannon-Reeds shuffle, a deck of $N$ cards is cut into two approximately equal parts which are then riffled uniformly at random. Bayer and Diaconis famously showed that this Markov chain undergoes cutoff in total variation after $\frac{3\log(N)}{2 \log(2)}$ shuffles.
Mark Sellke
exaly +3 more sources
The Combinatorics of Biased Riffle Shuffles [PDF]
11 ...
Jason Fulman, Fulman Jason
exaly +3 more sources
A generalization of carries process and riffle shuffles
Relation to the riffle shuffle for negative base case is ...
Fumihiko Nakano, Taizo Sadahiro
exaly +4 more sources
Some of the next articles are maybe not open access.
Riffle shuffles, cycles, and descents
Combinatorica, 1995The question of how many times a deck of cards must be shuffled so as to ensure that the resulting distribution of cards corresponds to a draw from the uniform distribution over all permutations of 52 cards has received some attention in the American Press. The present paper continues this line of inquiry.
Jim Pitman +2 more
exaly +3 more sources
Generalized Riffle Shuffles and Quasisymmetric Functions
19 pages: minor corrections and the omission of some material that has appeared in more general form ...
Richard P Stanley, Stanley Richard P
exaly +4 more sources
Stein's Method and Descents after Riffle Shuffles
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jason Fulman
exaly +3 more sources
Descent-inversion statistics in riffle shuffles
This paper studies statistics of riffle shuffles by relating them to random word statistics with the use of inverse shuffles. Asymptotic normality of the number of descents and inversions in riffle shuffles with convergence rates of order $1/\sqrt{n}$ in the Kolmogorov distance are proven.
exaly +3 more sources

