Publications associées à The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model

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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Vlad Serban, Nihar Prakash Gargava

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model

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Moments of the number of points in a bounded set for number field lattices

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Moments of the number of points in a bounded set for number field lattices

Additive and geometric transversality of fractal sets in the integers

Plane Waves Versus Correlation-Consistent Basis Sets: A Comparison of MP2 Non-Covalent Interaction Energies in the Complete Basis Set Limit

Fourier non-uniqueness sets from totally real number fields

From Trees to Barcodes and Back Again:A Combinatorial, Probabilistic and Geometric Study of a Topological Inverse Problem

LDP and CLT for SPDEs with transport noise

Gyrokinetic simulations of turbulence and zonal flows driven by steep profile gradients using a delta-f approach with an evolving background Maxwellian

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

Statistical limits of dictionary learning: Random matrix theory and the spectral replica method

Splitting probabilities and mean first passage times across multiple thresholds of jump-and-drift transition paths