2 citations · 2 across the 13 of their papers we have counts for
13 papers
On card guessing after an asymmetric single-shelf shuffle
Alexander Clay, Markus Kuba, Raghavendra Tripathi
We provide a definitive analysis of the number of correct guesses in the complete-feedback card guessing game after an asymmetric single-shelf shuffle with parameter .…
Analysis of the asymmetric shelf shuffle
Raghavendra Tripathi
In an asymmetric shelf shuffle, a deck of cards is dealt sequentially from the bottom and assigned one of the shelves uniformly at random. The card is placed at the top of…
Cutoff for asymmetric shelf shuffle
Raghavendra Tripathi
A mechanical shuffler consists of shelves. A deck of cards, arranged in increasing order, is dealt from the bottom sequentially. Each card is assigned a shelf uniformly at…
Log-Sobolev under random monotone censoring
Patrick Oliveira Santos, Raghavendra Tripathi, Pierre Youssef
We show that the logarithmic Sobolev inequality of the Boolean cube is stable under random monotone censoring. More precisely, if is chosen uniformly among…
On the partition function of a class of Mallows model
Raghavendra Tripathi
Let $\Sym{n}$ denote the set of all permutations on labels. Let be a twice continuously differentiable function. A subfamily of the Mallows model is…
On the position matrix of single-shelf shuffle and card guessing
Raghavendra Tripathi
Mechanical shufflers used in many casinos employ a card shuffling scheme called \emph{shelf shuffling}. In a single-shelf shuffling, cards arrive sequentially, and each incoming ca…
Number of orbits of -subsets of permutations
Ludovick Bouthat, Raghavendra Tripathi
Let denote the symmetric group of order . Say that two subsets are \emph{equivalent} if there exist permutations such that $g_1xg_2=y…
Khintchine inequalities, trace monoids and Turán-type problems
Patrick Oliveira Santos, Raghavendra Tripathi, Pierre Youssef
We prove scalar and operator-valued Khintchine inequalities for mixtures of free and tensor-independent semicircle variables, interpolating between classical and free Khintchine-ty…
A note on Erdős matrices and Marcus\unicode{x2013}Ree inequality
Aman Kushwaha, Raghavendra Tripathi
In 1959, Marcus and Ree proved that any bistochastic matrix satisfies . Erdős asked to charac…
Some observations on Erdős matrices
Raghavendra Tripathi
In a seminal paper in 1959, Marcus and Ree proved that every bistochastic matrix satisfies where is…
On log-concavity of the number of orbits in commuting tuples of permutations
Raghavendra Tripathi
Denote by the number of commuting -tuples of permutations on that have exactly distinct orbits. It was conjectured in~\cite{abdesselam2023log} that $A(p,…
Pinned Billiard Balls Simulation (WXML Autumn 2023 report)
Bella Cochran, Anish Gupta, Colin Holzman-Klima +3
Systems of pinned billiard balls serve as simplified models of collisions, where all particles remain fixed in their positions while their (pseudo-)velocities evolve in accordance…
Two-color exchangeability does not imply exchangeability
Raghavendra Tripathi
We provide simple examples of two-color exchangeable sequences that are not exchangeable. This answers a question of Bladt and Shaiderman~\cite[Question…