Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup

Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver

(2023) Yuan Gao et al.   MULTISCALE MODELING & SIMULATION

Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint

(2022) Yuan Gao et al.   JOURNAL OF STATISTICAL PHYSICS

Well-posedness of Hamilton–Jacobi equations in population dynamics and applications to large deviations

(2020) Richard C. Kraaij et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

On Constrained Langevin Equations and (Bio)Chemical Reaction Networks

(2019) David F. Anderson et al.   MULTISCALE MODELING & SIMULATION

Large Deviations of Jump Process Fluxes

(2019) Robert I. A. Patterson et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

Large deviations theory for Markov jump models of chemical reaction networks

(2018) Andrea Agazzi et al.   ANNALS OF APPLIED PROBABILITY

Large Deviations for Finite State Markov Jump Processes with Mean-Field Interaction Via the Comparison Principle for an Associated Hamilton–Jacobi Equation

(2016) Richard Kraaij   JOURNAL OF STATISTICAL PHYSICS

Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law

(2016) Hao Ge et al.   JOURNAL OF STATISTICAL PHYSICS

A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced

(2015) Badal Joshi   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Macroscopic fluctuation theory

(2015) Lorenzo Bertini et al.   REVIEWS OF MODERN PHYSICS

Regularity and approximability of the solutions to the chemical master equation

(2014) Ludwig Gauckler et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

(2014) A. Mielke et al.   POTENTIAL ANALYSIS

A singular 1-D Hamilton–Jacobi equation, with application to large deviation of diffusions

(2013) Xiaoxue Deng et al.   Communications in Mathematical Sciences

Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks

(2010) David F. Anderson et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Convergence Rate of Monotone Numerical Schemes for Hamilton–Jacobi Equations with Weak Boundary Conditions

(2008) Knut Waagan   SIAM JOURNAL ON NUMERICAL ANALYSIS