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20212024
most citedA Data-Driven Approach for Discovering the Most Probable Transition Pathway for a Stochastic Carbon Cycle System

5 citations · 5 across the 3 of their papers we have counts for

collaborators

5 papers

math.DS2024

Critical Transitions in Interacting Particle Systems: An Onsager-Machlup Action Functional Framework

Jianyu Chen, Ting Gao, Galina Strelkova +1

This paper establishes an indirect approximation theorem for the most probable transition pathway of a stochastic interacting particle system in the mean-field framework. This pape…

math.OC2023

Detecting the Most Probable High Dimensional Transition Pathway Based on Optimal Control Theory

Jianyu Chen, Ting Gao, Yang Li +1

Many natural systems exhibit phase transition where external environmental conditions spark a shift to a new and sometimes quite different state. Therefore, detecting the behavior…

math.DS2022★ 5 cited

A Data-Driven Approach for Discovering the Most Probable Transition Pathway for a Stochastic Carbon Cycle System

Jianyu Chen, Jianyu Hu, Wei Wei +1

Many natural systems exhibit tipping points where changing environmental conditions spark a sudden shift to a new and sometimes quite different state. Global climate change is ofte…

math.NA2021

Most Probable Transitions from Metastable to Oscillatory Regimes in a Carbon Cycle System

Wei Wei, Jianyu Hu, Jianyu Chen +1

Global climate changes are related to the ocean's store of carbon. We study a carbonate system of the upper ocean, which has metastable and oscillatory regimes, under small random…

math.DS2021

Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise

Jianyu Hu, Jianyu Chen

This work is devoted to deriving the Onsager-Machlup action functional for a class of stochastic differential equations with (non-Gaussian) Lévy process as well as Brownian motion…