3 citations · 5 across the 6 of their papers we have counts for
7 papers
Sharp Higher Integrability Theory, Part I: The -norm of the Beurling--Ahlfors transform
Andrea Agazzi, Kari Astala, Giuseppe Bruno +18
We confirm a conjecture posed by T. Iwaniec in 1982: the norm of the Beurling--Ahlfors transform is if , and if .
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…
Morrey's problem in and
Andrea Agazzi, Giuseppe Bruno, André Guerra +1
We find an explicit rank-one convex non-quasiconvex integrand in : to falsify the quasiconvexity inequality, we exhibit a map …
Quasiconvexity for the Dacorogna--Marcellini Energy
Giuseppe Bruno, Federico Pasqualotto
We prove that the planar Dacorogna--Marcellini energy is quasiconvex exactly when it is rank-one convex, i.e. if and only if .…
Towards Autonomous Mathematics Research
Tony Feng, Trieu H. Trinh, Garrett Bingham +25
Recent advances in foundational models have yielded reasoning systems capable of achieving a gold-medal standard at the International Mathematical Olympiad. The transition from com…
A multiscale analysis of mean-field transformers in the moderate interaction regime
Giuseppe Bruno, Federico Pasqualotto, Andrea Agazzi
In this paper, we study the evolution of tokens through the depth of encoder-only transformer models at inference time by modeling them as a system of particles interacting in a me…
Emergence of meta-stable clustering in mean-field transformer models
Giuseppe Bruno, Federico Pasqualotto, Andrea Agazzi
We model the evolution of tokens within a deep stack of Transformer layers as a continuous-time flow on the unit sphere, governed by a mean-field interacting particle system, build…