Differential Geometry

Chowdhury, T. D. (2025). The Geometry of Emergence: A Measure-Theoretic and Operator-Based Theory of Weak Signals. Available at SSRN & Zenodo: doi.org/10.5281/zenodo.18076778

Machine Learning

Chowdhury, T. D. (2026). Function-Space Measures and Stability-Driven Variational Training of Physics-Informed Neural Networks. Available at Zenodo: doi.org/10.5281/zenodo.18267609

Nonlinear Dynamics

Chowdhury, T. D. (2026). Distributional Symmetry: Emergence from Measure Evolution. Available at Zenodo: doi.org/10.5281/zenodo.18201236

Chowdhury, T. D. (2025). Vanishing-Order Observability for Smooth Gradient Flows. Available at Zenodo: doi.org/10.5281/zenodo.18164849

Chowdhury, T. D. (2026). Nonlinear Regime Shifts and Observability in Geo-Economic Power: Why China’s Rise Looked Gradual Until It Was Not. Available at Zenodo: doi.org/10.5281/zenodo.18314613

Quantum Statistical Mechanics

Chowdhury, T. D. (2025). Quantum Statistical Mechanics of Non-Local Kernels: Operator Entanglement and Energetic Susceptibility. Available at Zenodo: doi.org/10.5281/zenodo.18164810