The aim of this paper is to provide new methods concerning the study of stability radius of discrete dynamical systems in infinite-dimensional spaces. We study the stability roughness of a discrete ...

Dynamical systems provide a rigorous framework for understanding the evolution of complex systems over time, encapsulating models ranging from classical mechanical systems to chaotic and fractal ...

In a network, pairs of individual elements, or nodes, connect to each other; those connections can represent a sprawling system with myriad individual links. A hypergraph goes deeper: It gives ...

Here we prove that the C*-algebras of dynamical systems on 𝒜p associated to trace two affine automorphisms are classified by K-theoretical invariants. We also prove a partial classification result ...

Eligibility: All funded participants must be U.S. Citizens or permanent residents and all participants must be undergraduates (not have received a bachelor's degree) in the fall of 2024. Women, ...