(DMAT, IMTech) A qubit is a two-state quantum-mechanical system. For example, the intrinsic angular momentum (spin) of an electron is such a system. It only takes two values when measured in arbitrary spatial direction, say by measuring …

Nature Materials volume 22, pages1409–1420 (2023). The cell skeleton (cytoskeleton) is formed by multiple filaments of different mechanical properties, creating a dense mesh with diverse and complex responses. These cytoskeleton networks interact with the extracellular matrix (ECM) …

(UPC) and  (UB, CRM). Received November 28, 2023. Consider the N -body problem, namely the motion of N bodies in 3-dimensional space subject to the Newtonian universal attraction: where x_{j} ∈ ℝ^{3} is the position and m_{j} …

(UB), (DMAT, IMTech, CRM), and (CSIC, ICMAT). Received September 26, 2023 1. Introduction Fundamental to the understanding of physical phenomena and dynamical systems in general is the study of the computational complexity that may arise in a …

(Maria de Maeztu fellow at CRM) Received September 18, 2023. Computer Vision is the area of Artificial Inteligence that focuses on computer perception and processing of images. One of the main problems that arise in this area …

(DMAT) Received June 20, 2023. The natural world is full of large systems of interacting units. A human brain, for example, contains around 86 billion (86 · 10^{9}) neurons whose activities evolve in time as a function …

(School of Mathematics, Birmingham). Received on 8/2/2023. In this note we will introduce the concept of character variety in the simple example of a torus with one disk removed. We will show how this is a surface …

(Instituut-Lorentz, Leiden). Received on 4/12/2022. Quantum mechanics allows for correlations that cannot be explained within two principles that are fundamental to our intuitive understanding of the world: locality and realism [1]. This led to Einstein and collaborators …

(DMAT, IMTech). Received on 21 November, 2022. Motivation: the conjecture of Birch and Swinnerton-Dyer In order to celebrate mathematics in the new millennium, the Clay Mathematics Institute proposed seven challenges and one of these is the conjecture …