3 papers
math.PR2026
From Triangular Array Progression to Near-Log-Concave State Transitions
Levent Ali Mengütürk
The paper introduces near-log-concave random variables and the state-transitions of a family of Markov chains derived from an algorithmic integer sequence progression. We propose a…
cs.LG2025
Random-Bridges as Stochastic Transports for Generative Models
Stefano Goria, Levent A. Mengütürk, Murat C. Mengütürk +1
This paper motivates the use of random-bridges -- stochastic processes conditioned to take target distributions at fixed timepoints -- in the realm of generative modelling. Herein,…
quant-ph2025
Martingale Projections and Quantum Decoherence
Lane P. Hughston, Levent A. Mengütürk
We introduce so-called super/sub-martingale projections as a family of endomorphisms defined on unions of Polish spaces. Such projections allow us to identify martingales as collec…