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The current volume is a collection of contributions presented at the ICMAM Central America, the Caribbean 2025 conference and the AMATES ICMAM Workshop 2025. The volume covers topics in applied analysis and mathematical physics. These topics include transportation models, Schrödinger Poisson systems, and nonlinear PDEs with applications to semiconductor theory, quantum technologies, and optimization. The volume also features contributions in dynamical systems and network theory, essential for studying stability and long-term behavior in fields such as ecology, aerospace engineering, and neural networks. In addition, the volume features contributions in structural mathematics, with results in geometry (Kähler manifolds), algebra (representation theory), and combinatorics (graph theory), forming the foundation of much current progress in pure mathematics.
Curated by members of the International Community of Mathematicians from Latin America, this volume brings together contributions from both established and emerging researchers. Each contribution offers valuable insights and highlights new research directions. A key aim of this book is to enhance the international visibility of the vibrant mathematical activity in the region.
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