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spectral-theory

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boonespacedog / Fractional-Laplacian

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First explicit curvature correction formula for fractional Laplacians on curved manifolds. Complete proof via heat kernel expansion, validated computationally on S². Applications in anomalous diffusion, thermal field theory, and curved spacetime physics.

computational-mathematics scientific-computing partial-differential-equations numerical-analysis quantum-field-theory mathematical-physics riemannian-geometry heat-kernel anomalous-diffusion differential-operators mathematical-proof laplace-beltrami-operator thermal-field-theory spectral-theory curved-spacetime fractional-laplacian curvature-corrections manifold-analysis asymptotic-expansion
  • Updated Nov 19, 2025
  • Python

neko-jpg / Project-ResNet-BK-An-O-N-Language-Model-Architecture

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An experimental O(N) language model based on mathematical physics (Birman-Schwinger theory). A PyTorch implementation aiming to surpass Mamba in long-context stability and memory efficiency (O(N log N)) through Prime-Bump initialization and scattering theory routing.

ai deep-learning pytorch language-model mamba mixture-of-experts quantum-scattering linear-attention efficient-transformers operator-theory llm spectral-theory o-n-complexity birman-schwinger
  • Updated Nov 20, 2025
  • Python

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