588 citations · 741 across the 78 of their papers we have counts for
5 papers · 1 filter
Four Random Permutations Conjugated by an Adversary Generate with High Probability
Robin Pemantle, Yuval Peres, Igor Rivin
We prove a conjecture dating back to a 1978 paper of D.R.\ Musser~\cite{musserirred}, namely that four random permutations in the symmetric group generate a transit…
Zeros of a random analytic function approach perfect spacing under repeated differentiation
Robin Pemantle, Sneha Subramanian
We consider an analytic function whose zero set forms a unit intensity Poisson process on the real line. We show that repeated differentiation causes the zero set to converge i…
On the longest k-alternating subsequence
Igor Pak, Robin Pemantle
We show that the longest k-alternating substring of a random permutation has length asymptotic to 2 (n-k) / 3.
Modeling Probability Forecasts via Information Diversity
Ville A. Satopää, Robin Pemantle, Lyle H. Ungar
Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity s…
Principal minors and rhombus tilings
Richard Kenyon, Robin Pemantle
The algebraic relations between the principal minors of an matrix are somewhat mysterious, see e.g. [lin-sturmfels]. We show, however, that by adding in certain \emph{a…