Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory. - Faruk Alpay; Bugra Kilictas; Taylan Alpay (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)

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

Reconstructing Trust Embeddings from Siamese Trust Scores: A Direct-Sum Approach with Fixed-Point Semantics. - Faruk Alpay; Taylan Alpay; Bugra Kilictas (CoRR, 2025)

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

Reliability, Embeddedness, and Agency: A Utility-Driven Mathematical Framework for Agent-Centric AI Adoption. - Faruk Alpay; Taylan Alpay (CoRR, 2025)

Deterministic Coreset Construction via Adaptive Sensitivity Trimming. - Faruk Alpay; Taylan Alpay (CoRR, 2025)

Manipulating Transformer-Based Models: Controllability, Steerability, and Robust Interventions. - Faruk Alpay; Taylan Alpay (CoRR, 2025)

XML Prompting as Grammar-Constrained Interaction: Fixed-Point Semantics, Convergence Guarantees, and Human-AI Protocols. - Faruk Alpay; Taylan Alpay (CoRR, 2025)

Composable Post-Quantum Security for FADEC-Coupled Dual-Spool Turbofan Cyber-Physical Systems. - Faruk Alpay; Taylan Alpay (CoRR, 2026)