20 citations · 52 across the 9 of their papers we have counts for
9 papers
Minimal intersection radius for growing, non-homogeneous ellipsoids in
Barbara Giunti, Sean Hill, Felix X. -F. Ye
In this paper, we compute the Minimal Intersection Radius (MIR) of growing, non-homogeneous ellipsoids in arbitrary ambient dimension. We provide a geometric method to find the MIR…
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping
Xingjie Li, Fei Lu, Molei Tao +1
Large time-stepping is important for efficient long-time simulations of deterministic and stochastic Hamiltonian dynamical systems. Conventional structure-preserving integrators, w…
Nonlinear model reduction for slow-fast stochastic systems near unknown invariant manifolds
Felix X. -F. Ye, Sichen Yang, Mauro Maggioni
We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow d…
ISALT: Inference-based schemes adaptive to large time-stepping for locally Lipschitz ergodic systems
Xingjie Li, Fei Lu, Felix X. -F. Ye
Efficient simulation of SDEs is essential in many applications, particularly for ergodic systems that demand efficient simulation of both short-time dynamics and large-time statist…
Synchronization in discrete-time, discrete-state Random Dynamical Systems
Wen Huang, Hong Qian, Shirou Wang +2
We characterize synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic Boolean networks as particular examples. In term…
Stochastic Dynamics II: Finite Random Dynamical Systems, Linear Representation, and Entropy Production
Felix X. -F. Ye, Hong Qian
We study finite state random dynamical systems (RDS) and their induced Markov chains (MC) as stochastic models for complex dynamics. The linear representation of deterministic maps…
Estimate exponential memory decay in Hidden Markov Model and its applications
Felix X. -F. Ye, Yi-an Ma, Hong Qian
Inference in hidden Markov model has been challenging in terms of scalability due to dependencies in the observation data. In this paper, we utilize the inherent memory decay in hi…
Dynamic Looping of a Free-Draining Polymer
Felix X. -F. Ye, Panos Stinis, Hong Qian
We revisit the celebrated Wilemski-Fixman (WF) treatment for the looping time of a free-draining polymer. The WF theory introduces a sink term into the Fokker-Planck equation for t…
Time Dependent Saddle Node Bifurcation: Breaking Time and the Point of No Return in a Non-Autonomous Model of Critical Transitions
Jeremiah Li, Felix X. -F. Ye, Hong Qian +1
There is a growing awareness that catastrophic phenomena in biology and medicine can be mathematically represented in terms of saddle-node bifurcations. In particular, the term `ti…