Renzo Bruera

collaborators

5 papers

math.DS2026

Topological entropy of Turing complete dynamics

Renzo Bruera, Robert Cardona, Eva Miranda +2

We explore the relationship between Turing completeness and topological entropy of dynamical systems. We first prove that a natural class of Turing machines that we call "branching…

math.AP2026

Regularity of stable solutions to the MEMS problem up to the optimal dimension 6

Renzo Bruera, Xavier Cabre

In this article we address the regularity of stable solutions to semilinear elliptic equations $- I^ u = f (u)$ with MEMS type nonlinearities. More precisely, we will have $0\leq u \l…

math.AP2026

Periodic Delaunay cylinders with constant anisotropic nonlocal mean curvature

Francesc Alcover, Renzo Bruera

In this article we prove existence and symmetry properties of periodic surfaces of revolution with constant anisotropic nonlocal mean curvature, generalizing a classical result of…

math.AP2026

On the shape of minimizers for the periodic nonlocal perimeter in $R^{2}$

Renzo Bruera

In this paper, we study planar nonlocal Delaunay sets. That is, open sets in $R^{2}$ with constant nonlocal mean curvature that are periodic in $x_{1}$ , and even in $x_{1}$ and…

physics.ao-ph2024

Mixing and Geometry in the North Atlantic Meridional Overturning Circulation

Renzo Bruera, Jezabel Curbelo, Guillermo Garcia-Sanchez +1

Vertical motions across the ocean are central to processes, like CO $_{2}$ fixation, heat removal or pollutant transport, which are essential to the Earth's climate. This work explore…

Topological entropy of Turing complete dynamics

Regularity of stable solutions to the MEMS problem up to the optimal dimension 6

Periodic Delaunay cylinders with constant anisotropic nonlocal mean curvature

On the shape of minimizers for the periodic nonlocal perimeter in R2

Mixing and Geometry in the North Atlantic Meridional Overturning Circulation

On the shape of minimizers for the periodic nonlocal perimeter in $R^{2}$