Centre de Recerca Matemàtica

Approximation of adelic divisors and equidistribution of small points

Abstract We study the asymptotic distribution of the Galois orbits of generic sequences of algebraic points of small height in a projective variety over a number field. Our main result is a generalization of Yuan’s equidistribution theorem that applies to heights for which Zhang’...

Modelling the simultaneous adsorption of two competing species

In this paper, we develop a mathematically consistent analytical framework to describe the simultaneous adsorption of two competing species in a packed column, accounting for adsorption, desorption and competitive replacement. Starting from previous work on the capture of a singl...

Heights of complete intersections in toric varieties

The height of a toric variety and that of its hypersurfaces can be expressed in convex-analytic terms as an adelic sum of mixed integrals of their roof functions and duals of their Ronkin functions. Here we extend these results to the 2 -codimensional situation by presenting a li...

Two-dimensional billiards are Turing complete

We show that two-dimensional billiard systems can simulate universal Turing machines. Billiards serve as idealized models of particle motion with elastic reflections and arise naturally as limits of smooth Hamiltonian systems under steep confining potentials, and as an exact refo...

The 1820 Mallorca plague was not a classic bubonic outbreak

The 1820 plague outbreak in eastern Mallorca—long treated as a local episode and traditionally classified as a late bubonic manifestation of the Second Plague Pandemic—offers a unique opportunity to reassess transmission dynamics in a prebacteriological context. Using a previousl...

Critical neuronal avalanches arise from excitation-inhibition balanced spontaneous activity

Neuronal avalanches are sequences of neural activations exhibiting scale-invariant statistics, indicative of critical dynamics. Theoretical studies proposed that the balance between excitation (E) and inhibition (I), along with neuromodulation, are key factors influencing this cr...