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discretized nonlinear Schrödinger equations arising in quantum many-body physics, both giving rise to large indefinite systems that challenge existing solvers.The mathematical and computational hurdles
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quantum computing, including GKP state generation and nonlinear gates. EPIQUE (Horizon Europe): Cluster state generation on photonic integrated chips and its integration into a measurement-based Gaussian
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mathematics. ICTS has an active in-house research program. Current research spans the following broad areas: Complex systems: Nonlinear dynamics and Data assimilation, Statistical physics, Fluid dynamics and
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with emerging neuroscience evidence that synapses perform nonlinear transformations rather than merely transmitting signals. This project aims to develop and analyse local learning rules for KANs
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, Thermal-Fluids & Energy. For more information regarding the Department and the Mechanical Engineering Program, please see the following link: https://ceas.uc.edu/academics/departments/mechanical-materials
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, Condensed Matter Theory , Nanoscience , Nonlinear and Complex Systems , Quantum many-body structure and their manipulation , Statistical physics Appl Deadline: 2026/03/31 11:59PM (posted 2025/08/27, listed
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display intricate spatiotemporal dynamics that encode rich informational content. However, analyzing such interactions remains challenging due to the high dimensionality, nonlinearity, and noise inherent in
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biology, chemistry or engineering or a related field. The ideal candidate will have experience in nonlinear dynamical systems, machine learning and multi-objective optimization techniques. Research
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. Despite their potential, challenges remain in accurate modeling, sensing, and control due to their highly deformable and nonlinear nature. This PhD project aims to advance the navigation and control of soft