Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

Ultracoarse Equilibria and Ordinal-Folding Dynamics in Operator-Algebraic Models of Infinite Multi-Agent Games. - Faruk Alpay; Hamdi Al Alakkad; Bugra Kilictas; Taylan Alpay (CoRR, 2025)

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

Idempotent Equilibrium Analysis of Hybrid Workflow Allocation: A Mathematical Schema for Future Work. - Faruk Alpay; Bugra Kilictas; Taylan Alpay; Hamdi Al Alakkad (CoRR, 2025)

A Reproducible, Scalable Pipeline for Synthesizing Autoregressive Model Literature. - Faruk Alpay; Bugra Kilictas; Hamdi Al Alakkad (CoRR, 2025)

Transfinite Iteration of Operator Transforms and Spectral Projections in Hilbert and Banach Spaces. - Faruk Alpay; Taylan Alpay; Hamdi Al Alakkad (CoRR, 2025)

Temporal Anchoring in Deepening Embedding Spaces: Event-Indexed Projections, Drift, Convergence, and an Internal Computational Architecture. - Faruk Alpay; Bugra Kilictas; Hamdi Al Alakkad (CoRR, 2025)

Escaping Saddle Points via Curvature-Calibrated Perturbations: A Complete Analysis with Explicit Constants and Empirical Validation. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

Quantization Errors, Human-AI Interaction, and Approximate Fixed Points in L1(μ). - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

On the Fixed Point Property in Reflexive Banach Spaces. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

Glass-Box Analysis for Computer Systems: Transparency Index, Shapley Attribution, and Markov Models of Branch Prediction. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)

Truth-Aware Decoding: A Program-Logic Approach to Factual Language Generation. - Faruk Alpay; Hamdi Al Alakkad (CoRR, 2025)