7 papers
Spectral Stability, Fatou Basin Contraction, and Machine-Checked Multipliers in Holomorphic Extensions of Generalized Syracuse Dynamics
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı +2
We embed the Syracuse operator (even ), (odd ) and the Collatz map into via entire functions of exponential type : $f(z)…
Bipartite Carrier Compression and Machine-Certified Bounds in Schönhage Trilinear Multiplication Tensors
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı
Under the conditional framework breaking the longstanding O(n log n) integer multiplication barrier (originating from OpenAI Preprint #109), the asymptotic time complexity exponent…
Machine-Checked Computational Group Theory in Lean 4: Operational Schreier-Sims Stabilizer Chains, BSGS Sifting, and Backtrack Ordered Partitions
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı
We present gap-lean4-port (Release v0.2.0), a machine-checked formalization of foundational algorithms in computational discrete algebra and permutation group theory within the Lea…
Zero-Storage Procedural Neural Synthesis via Boundary Dynamics: Formal Verification in Lean 4 and Bare-Metal Gauntlet Validation
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı
Contemporary neural inference architectures rely on dense floating-point weight matrices stored in high-bandwidth memory (VRAM), incurring severe memory-wall bottlenecks and preven…
Werracle: Sub-Cent Intra-Block AI Reflex Oracles and Flash-Loan Circuit Breakers for EVM Smart Contracts
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı
Contemporary on-chain artificial intelligence (AI) encounters an intractable Von Neumann memory and latency wall. Storing static floating-point neural weight matrices inside Ethere…
Orbital Error Dynamics: Self-Organized Criticality, Ephemeral Parameter Resonance, and Non-Linear Biological Ontologies in Zero-Storage Neural Synthesis
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı
Modern deep neural networks treat parameters as static floating-point matrices stored in physical memory, incurring Von Neumann memory bottlenecks and representation collapse. We f…
Universal Fractal Natural Language Decision Map: Real-Time Edge Triage Across Heterogeneous Domains
Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı
Deploying Large Language Models for runtime operational triage incurs prohibitive latency (>100-500 ms), high VRAM requirements (>4-8 GB), and excessive energy dissipation. Extendi…