[NeurIPS'25] Sequence Modeling with Spectral Mean Flows, in PyTorch
ScaledRelativeGraphs.jl — Computable SRG-based stability certificates for engineering practice. Bridges theory and application with standards compliance, measured-data workflows, and visualization. Julia.
Typed audit calculus for scientific transfers, with formal fixtures, claim ledgers, and reproducibility gates.
Fixed-parameter Galerkin, relative trace, smoothed spectral, and certified interlacing results for semilocal zeta operators
Research project exploring operator-theoretic approaches to the Riemann Hypothesis, combining spectral theory and computational analysis. Includes English (main) and Portuguese versions.
A multidimensional jet space engine for high-order mixed partial Log-Tower derivatives. Features a Chronological Step-Operator Engine (Anchor/Web logic) that eliminates Bell polynomial explosion via asymmetric tensor caching. Replaces the quotient rule with an optimized derivative generator for lightning-fast symbolic mapping.
Four papers on the Weil quadratic form, completed ζ operators, causal Hankel range and finite Weil characteristics, with a Lean 4 verification snapshot and numerical experiments.
SpectralNet v4: differentiable Chernoff–Remizov trajectories for inverse problems (1D Darcy). Companion code for Zenodo 10.5281/zenodo.19637120.
Operator-theoretic analysis of Weil’s quadratic form: spectral screening, support filtrations, defect morphology, and Lean verification.
Exact rational Green-identity control for the nonsymmetric formal adjoint used in the nonlocal-QTG regular-black-hole operator program.
Independent research in Navier–Stokes regularity, Paley–Wiener rigidity, and nonlinear obstruction theory.
Exact bottom-cluster and Feshbach reduction for the semilocal Weil prolate-proxy bridge, with reproducible code and audits.
三卷40章的泛函分析自学LaTeX教材：基础、谱论、无界算子、半群、Sobolev/PDE、非线性分析与变分法。
Publication list
Operator-theoretic analysis of Weil’s quadratic form: spectral screening, support filtrations, defect morphology, and Lean verification.
Matemática de Ressonância de Leue: framework matemático unificado abordando os 7 Problemas do Milênio através de ressonância e operadores.
A Lean 4 research platform for mathematical physics: unbounded operators, spectral theory, quantum mechanics, and quantum information — built on Mathlib.
Курс функціонального аналізу
Repository Of The seminar: Computational Dynamics
Operator-geometric framework for metabolic identifiability and metabolite panel design under partial observability using Human-GEM, proteomics-informed reaction weighting, and spectral geometry.
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