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10 papers · 2 filters
Coarsening with a frozen vertex
M. Damron, H. Kogan, C. M. Newman +1
In the standard nearest-neighbor coarsening model with state space and initial state chosen from symmetric product measure, it is known (see~\cite{NNS})…
Maximum of the characteristic polynomial of random unitary matrices
Louis-Pierre Arguin, David Belius, Paul Bourgade
It was recently conjectured by Fyodorov, Hiary and Keating that the maximum of the characteristic polynomial on the unit circle of a random unitary matrix sampled from…
Stabilization by Noise of a -Valued Coupled System
Joe P. Chen, Lance Ford, Derek Kielty +4
Recently Herzog and Mattingly have shown that a -valued polynomial ODE which admits finite-time blow-up solutions may be stabilized by the addition of -valu…
First Order Probabilities For Galton-Watson Trees
Joel Spencer, Moumanti Podder
In the regime of Galton-Watson trees, first order logic statements are roughly equivalent to examining the presence of specific finite subtrees. We consider the space of all trees…
Optimal Strategy in "Guess Who?": Beyond Binary Search
Mihai Nica
"Guess Who?" is a popular two player game where players ask "Yes"/"No" questions to search for their opponent's secret identity from a pool of possible candidates. This is modeled…
On the condition number of the critically-scaled Laguerre Unitary Ensemble
Percy Deift, Govind Menon, Thomas Trogdon
We consider the Laguerre Unitary Ensemble (aka, Wishart Ensemble) of sample covariance matrices , where is an matrix with iid standard complex normal ent…