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Author

Faruk Alpay

Observed name: Alpay, Faruk
Observed institution: Bahçeşehir University
ORCID: 0009-0009-2207-6528
Observed ORCID: 0009-0009-2207-6528
OpenAlex ID: A5117457221
Transfinite Iteration of Operator Transforms and Spectral Projections in Hilbert and Banach Spaces
2025 · Alpay, Faruk, Alpay, Taylan, et al. · arXiv (Cornell University) · 2
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New Approaches to the Fixed Point Property in L^1 Spaces
2025 · Alpay, Faruk, Alakkad, Hamdi · arXiv (Cornell University) · 1
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Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment
2025 · Alpay, Faruk, Alakkad, Hamdi · arXiv (Cornell University) · 1
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Logically Contractive Mappings: Fixed Points and Event-Indexed Rates
2025 · Alpay, Faruk, Alpay, Taylan · arXiv (Cornell University) · 1
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Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence
2025 · Alpay, Faruk, Alakkad, Hamdi Al · arXiv (Cornell University) · 1
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Nonreciprocal Spherical Attention and Retrieval: Sharp Coarsening Clocks and Certified Score Correction
2026 · Alpay, Faruk, Alpay, Taylan · arXiv (Cornell University)
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Revision-Bound Evidence Cuts: Authenticated Queries and Contextual Witness Capacity
2026 · Alpay, Faruk, Alpay, Taylan · arXiv (Cornell University)
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Interface-Variant Dynamics in Software Ecosystems: Resolver-Induced Selection and Adoption in Package Graphs
2026 · Alpay, Faruk, Basaran, Baris · arXiv (Cornell University)
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Glass-Box Analysis for Computer Systems: Transparency Index, Shapley Attribution, and Markov Models of Branch Prediction
2025 · Alpay, Faruk, Alakkad, Hamdi · arXiv (Cornell University)
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On the Fixed Point Property in Reflexive Banach Spaces
2025 · Alpay, Faruk, Alakkad, Hamdi · arXiv (Cornell University)
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Quantization Errors, Human--AI Interaction, and Approximate Fixed Points in $L^1(μ)$
2025 · Alpay, Faruk, Alakkad, Hamdi · arXiv (Cornell University)
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Nonlinear Continuum of States and Intuitionistic Flows in a Cognitive Space
2025 · Alpay, Faruk, Alpay, Taylan · arXiv (Cornell University)
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Reconstructing Trust Embeddings from Siamese Trust Scores: A Direct-Sum Approach with Fixed-Point Semantics
2025 · Alpay, Faruk, Alpay, Taylan, et al. · arXiv (Cornell University)
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Ordinal Folding Index: A Computable Metric for Self-Referential Semantics
2025 · Faruk Alpay, Hamdi Al Alakkad
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Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory
2025 · Alpay, Faruk, Kilictas, Bugra, et al. · arXiv (Cornell University)
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Beyond Transfinite Fixed Points: Nodes in Alpay Algebra
2025 · Faruk Alpay · Preprints.org
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Recursive Fixed Points
2025 · Faruk Alpay
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Fixed-Point Constructions for ω-Continuous Functors on Cocomplete Categories
2025 · Faruk Alpay
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Emergent AI Identity via Transfinite Fixed-Point Convergence in Alpay Algebra
2025 · Faruk Alpay
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Emergent AI Identity via Transfinite Fixed-Point Convergence in Alpay Algebra
2025 · Faruk Alpay · Preprints.org
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Recursive Identity Encoding via ϕ-Folds: A Symbolic Architecture for Self-Stabilizing Language Models with Convergence to ϕ^∞
2025 · Faruk Alpay
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Alpay Theorem I: Transformational Fixation
2025 · Faruk Alpay
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Φ ∞ II: Recursive Geometry of Classical Reality
2025 · Faruk Alpay
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Extended Formal Analysis of Macro-Existence Convergence in Recursive Consciousness Fields
2025 · Faruk Alpay
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SRB Measures and the Ledrappier-Young Dimension Formula
2025 · Faruk Alpay
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Works count: 28
Citation count: 6
H-index: 1
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