Publications
Our research spans stochastic analysis, mathematical physics, generative modelling, and clinical AI. Below are recent publications and preprints from the lab.
| # | Title | Authors | Venue | Year | Link |
|---|---|---|---|---|---|
| 1 | Matrix-Valued Path Transformations Over Conditional Transmissions | LA Mengütürk, MC Mengütürk | Proceedings of the Royal Society A, 482(2330), 20250027 | 2026 | View |
| 2 | pathsig: A GPU-Accelerated Library for Truncated and Projected Path Signatures | T Nygaard | arXiv preprint, arXiv:2602.24066 | 2026 | View |
| 3 | Random-Bridges as Stochastic Transports for Generative Models | S Goria, LA Mengütürk, MC Mengütürk, B Sesen | arXiv preprint, arXiv:2512.14190 | 2025 | View |
| 4 | Development and Validation of Retrieval Augmented Generation (RAG) and GraphRAG for Complex Clinical Cases | MB Sesen, J Au Yeung, E Asgari | medRxiv, 2025.11.25.25341010 | 2025 | View |
| 5 | Martingale Projections and Quantum Decoherence | LP Hughston, LA Mengütürk | arXiv preprint, arXiv:2509.19491 | 2025 | View |
| 6 | Mean-Field Interacting Systems with Sequential Coalescence at Future Ensemble Averages | LA Mengütürk, MC Mengütürk | Journal of Applied Probability, First View, 1–34 | 2025 | View |
| 7 | On Monotonic Functionals Over Partially-Ordered Path Spaces | LA Mengütürk | Journal of Theoretical Probability, 38(3), 1–32 | 2025 | View |
| 8 | On Doob h-Transformations for Finite-Time Quantum State Reduction | LA Mengütürk | Journal of Mathematical Physics, 65(3), 032103 | 2024 | View |