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math.PR2026
Fast random sampling and small noise analysis for stochastic control models
Sarvesh Ravichandran Iyer, Vivek Kumar
In this paper, we study a linear control system with a given state feedback law. The system is influenced by rapid random sampling occurring at frequency $\frac 1n, n \in \mathbb N…
math.PR2024
Central limit theorem and moderate deviation principle for the stochastic generalized Burgers-Huxley equation with multiplicative noise
Vivek Kumar, Ankit Kumar, Manil T. Mohan
In this work, we investigate the Central Limit Theorem (CLT) and Moderate Deviation Principle (MDP) for the stochastic generalized Burgers-Huxley (SGBH) equation with multiplicativ…