190 citations · 1.1k across the 82 of their papers we have counts for
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Toeplitz determinants with a one-cut regular potential and Fisher--Hartwig singularities I. Equilibrium measure supported on the unit circle
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
We consider Toeplitz determinants whose symbol has: (i) a one-cut regular potential , (ii) Fisher--Hartwig singularities, and (iii) a smooth function in the background. The pote…
Wilson lines in the lattice Higgs model at strong coupling
Malin P. Forsström, Jonatan Lenells, Fredrik Viklund
We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group . We study Wilson line observables in the strong coupli…
Wilson loops in the abelian lattice Higgs model
Malin P. Forsström, Jonatan Lenells, Fredrik Viklund
We consider the lattice Higgs model on , with structure group given by for . We compute the expected value of the Wilson loop observable…
The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity
Christophe Charlier, Jonatan Lenells
The local eigenvalue statistics of large random matrices near a hard edge transitioning into a soft edge are described by the Bessel process associated with a large parameter .…
The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
The Bessel process models the local eigenvalue statistics near of certain large positive definite matrices. In this work, we consider the probability \begin{align*} \mathbb{P}\…
Gap probabilities in the bulk of the Airy process
Elliot Blackstone, Christophe Charlier, Jonatan Lenells
We consider the probability that no points lie on large intervals in the bulk of the Airy point process. We make a conjecture for all the terms in the asymptotics up to and inc…