D. Dauvergne

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math.PR2026

The directed landscape in half-space

Duncan Dauvergne, Lingfu Zhang

We prove that two half-space models in the KPZ universality class, exponential last-passage percolation and a family of Poisson-avoiding metrics generalizing colored TASEP, converg…

math.PR2026

The Airy line ensemble at the rough-smooth boundary

Sunil Chhita, Duncan Dauvergne, Thomas Finn

We study the rough-smooth boundary in the two-periodic Aztec diamond, a random domino tiling model exhibiting three types of macroscopic regions. We show that the height function a…

math.PR2026

Bulk heights of the KPZ line ensemble

Duncan Dauvergne, Fardin Syed

For $t > 0$ , let ${H_{n}^{(t)}, n \in N}$ be the KPZ line ensemble with parameter $t$ , satisfying the homogeneous $H$ -Brownian Gibbs property with $\mat…

math.PR2024

Random Sums of Weighted Orthogonal Polynomials in $C^{d}$

T. Bloom, D. Dauvergne, N. Levenberg

We consider random polynomials of the form $G_{n} (z) := \sum_{∣ α ∣ \leq n} ξ_{α}^{(n)} p_{n, α} (z)$ where ${ξ_{α}^{(n)}}_{∣ α ∣ \leq n}$ are i.i.d. (complex) random variables and $\{p_{n,α}\}_…

The directed landscape in half-space

The Airy line ensemble at the rough-smooth boundary

Bulk heights of the KPZ line ensemble

Random Sums of Weighted Orthogonal Polynomials in Cd

Random Sums of Weighted Orthogonal Polynomials in $C^{d}$