Faruk Alpay

Orcid: 0009-0009-2207-6528

According to our database1, Faruk Alpay authored at least 40 papers between 2025 and 2026.

Collaborative distances:
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Timeline

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Bibliography

2026
Finite-Horizon First-Order Rank Profiles of Regular Languages.
CoRR, April, 2026

Coordinatewise Balanced Covering for Linear Gain Graphs, with an Application to Coset-List Min-2-Lin over Powers of Two.
CoRR, April, 2026

Algorithmic Barriers to Detecting and Repairing Structural Overspecification in Adaptive Data-Structure Selection.
CoRR, March, 2026

Attention Meets Reachability: Structural Equivalence and Efficiency in Grammar-Constrained LLM Decoding.
CoRR, March, 2026

Grammar-Constrained (CFL) Reachability: Subcubic Preprocessing, Indexing Trade-offs, and Structured Decoding Semantics.
CoRR, February, 2026

Topological Relational Theory: A Simplicial-Complex View of Functional Dependencies, Lossless Decomposition, and Acyclicity.
CoRR, February, 2026

Asymptotic Semantic Collapse in Hierarchical Optimization.
CoRR, February, 2026

Latent Objective Induction and Diversity-Constrained Selection: Algorithms for Multi-Locale Retrieval Pipelines.
CoRR, February, 2026

Stochastic Indexing Primitives for Non-Deterministic Molecular Archives.
CoRR, January, 2026

Latent Object Permanence: Topological Phase Transitions, Free-Energy Principles, and Renormalization Group Flows in Deep Transformer Manifolds.
CoRR, January, 2026

The Geometry of Thought: Disclosing the Transformer as a Tropical Polynomial Circuit.
CoRR, January, 2026

Bare-Metal Tensor Virtualization: Overcoming the Memory Wall in Edge-AI Inference on ARM64.
CoRR, January, 2026

Rate-Distortion Analysis of Compressed Query Delegation with Low-Rank Riemannian Updates.
CoRR, January, 2026

2025
Truth-Aware Decoding: A Program-Logic Approach to Factual Language Generation.
CoRR, October, 2025

Glass-Box Analysis for Computer Systems: Transparency Index, Shapley Attribution, and Markov Models of Branch Prediction.
CoRR, September, 2025

On the Fixed Point Property in Reflexive Banach Spaces.
CoRR, September, 2025

Quantization Errors, Human-AI Interaction, and Approximate Fixed Points in L<sup>1</sup>(μ).
CoRR, September, 2025

XML Prompting as Grammar-Constrained Interaction: Fixed-Point Semantics, Convergence Guarantees, and Human-AI Protocols.
CoRR, September, 2025

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment.
CoRR, September, 2025

Manipulating Transformer-Based Models: Controllability, Steerability, and Robust Interventions.
CoRR, September, 2025

Deterministic Coreset Construction via Adaptive Sensitivity Trimming.
CoRR, August, 2025

Escaping Saddle Points via Curvature-Calibrated Perturbations: A Complete Analysis with Explicit Constants and Empirical Validation.
CoRR, August, 2025

Reliability, Embeddedness, and Agency: A Utility-Driven Mathematical Framework for Agent-Centric AI Adoption.
CoRR, August, 2025

The phi-Process: Operator-Algebraic Embeddings of Possibilities, Transfinite Stabilization, and a Quantitative Application to Sensory Depletion.
CoRR, August, 2025

Temporal Anchoring in Deepening Embedding Spaces: Event-Indexed Projections, Drift, Convergence, and an Internal Computational Architecture.
CoRR, August, 2025

Transfinite Iteration of Operator Transforms and Spectral Projections in Hilbert and Banach Spaces.
CoRR, August, 2025

A Reproducible, Scalable Pipeline for Synthesizing Autoregressive Model Literature.
CoRR, August, 2025

Reconstructing Trust Embeddings from Siamese Trust Scores: A Direct-Sum Approach with Fixed-Point Semantics.
CoRR, August, 2025

Idempotent Equilibrium Analysis of Hybrid Workflow Allocation: A Mathematical Schema for Future Work.
CoRR, August, 2025

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics.
CoRR, August, 2025

Ultracoarse Equilibria and Ordinal-Folding Dynamics in Operator-Algebraic Models of Infinite Multi-Agent Games.
CoRR, July, 2025

Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory.
CoRR, July, 2025

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence.
CoRR, July, 2025

Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation.
CoRR, July, 2025

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings.
CoRR, July, 2025

A Rigorous Error Bound for the TG Kernel in Prime Counting.
CoRR, June, 2025

ϕ<sup>∞</sup>: Clause Purification, Embedding Realignment, and the Total Suppression of the Em Dash in Autoregressive Language Models.
CoRR, June, 2025

Recursive Semantic Anchoring in ISO 639:2023: A Structural Extension to ISO/TC 37 Frameworks.
CoRR, June, 2025

XiSort: Deterministic Sorting via IEEE-754 Total Ordering and Entropy Minimization.
CoRR, May, 2025

Stable and Convexified Information Bottleneck Optimization via Symbolic Continuation and Entropy-Regularized Trajectories.
CoRR, May, 2025


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