Giuseppe Bruno

activity

20242026

most citedEmergence of meta-stable clustering in mean-field transformer models

2 citations · 4 across the 8 of their papers we have counts for

collaborators

Showing 2026Show all

6 papers · 1 filter

math.CV2026

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

Andrea Agazzi, Kari Astala, Giuseppe Bruno +18

We confirm a conjecture posed by T. Iwaniec in 1982: the $L^{p}$ norm of the Beurling--Ahlfors transform is $p - 1$ if $p \geq 2$ , and $(p - 1)^{- 1}$ if $1 < p \leq 2$ .

math.AP2026

Quantitative Diffusive Limits for Singular Nonlocal Transport

Andrea Agazzi, Giuseppe Bruno, Federico Pasqualotto +1

We study the nonlocal continuity equation \[ \partial_tμ_b =\operatorname{div}\!\left( μ_b\nabla\log\bigl((I-b^2Δ)^{-1}μ_b\bigr) \right) \] on a closed connected Riemannian manifol…

math.AP2026

Morrey's problem in $R^{2 \times 4}$ and $R_{sym}^{3 \times 3}$

Andrea Agazzi, Giuseppe Bruno, André Guerra +1

We find an explicit rank-one convex non-quasiconvex integrand in $R^{2 \times 4}$ : to falsify the quasiconvexity inequality, we exhibit a map $T^{4} \to R^{2}$ …

math.AP2026

Quasiconvexity for the Dacorogna--Marcellini Energy

Giuseppe Bruno, Federico Pasqualotto

We prove that the planar Dacorogna--Marcellini energy $f_{γ} (A) = ∣ A ∣^{4} - 2 γ ∣ A ∣^{2} det A$ is quasiconvex exactly when it is rank-one convex, i.e. if and only if $∣ γ ∣ \leq \frac{2}{3}$ .…

cs.LG2026

Scaling Limits of Long-Context Transformers

Giuseppe Bruno, Shi Chen, Zhengjiang Lin +2

We study the long-context limit of softmax self-attention with a fixed query and a random context of $n$ i.i.d. keys on the sphere, viewing the inverse temperature $β_{n}$ as the sca…

math.PR2026

Stochastic Scaling Limits and Synchronization by Noise in Deep Transformer Models

Andrea Agazzi, Giuseppe Bruno, Eloy Mosig García +2

We prove pathwise convergence of the layerwise evolution of tokens in a finite-depth, finite-width transformer model with MultiLayer Perceptron (MLP) blocks to a continuous-time st…

Sharp Higher Integrability Theory, Part I: The Lp-norm of the Beurling--Ahlfors transform

Quantitative Diffusive Limits for Singular Nonlocal Transport

Morrey's problem in R2×4 and Rsym3×3​

Quasiconvexity for the Dacorogna--Marcellini Energy

Scaling Limits of Long-Context Transformers

Stochastic Scaling Limits and Synchronization by Noise in Deep Transformer Models

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

Morrey's problem in $R^{2 \times 4}$ and $R_{sym}^{3 \times 3}$