P. Lopatto

activity

20142026

most citedFluctuations in local quantum unique ergodicity for generalized Wigner matrices

22 citations · 30 across the 31 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.NT2024

Formulas for odd zeta values and powers of $π$

Marc Chamberland, Patrick Lopatto

Plouffe conjectured rapidly converging series formulas for $π^{2 n + 1}$ and $ζ (2 n + 1)$ for small values of $n$ . We find the general pattern for all nonnegative integer values of $n$ a…

math.ST2024★ 1 cited

Randomization-based confidence sets for the local average treatment effect

P. M. Aronow, Haoge Chang, Patrick Lopatto

We consider the problem of generating confidence sets in randomized experiments with noncompliance. We show that a refinement of a randomization-based procedure proposed by Imbens…

math.PR2024

Smallest gaps between eigenvalues of real Gaussian matrices

Patrick Lopatto, Matthew Meeker

We consider an $n \times n$ matrix of independent real Gaussian random variables and determine the asymptotic distribution of the smallest gaps between complex eigenvalues.

Formulas for odd zeta values and powers of π

Randomization-based confidence sets for the local average treatment effect

Smallest gaps between eigenvalues of real Gaussian matrices

Formulas for odd zeta values and powers of $π$