Rigorous validation of stochastic transition paths
نویسندگان
چکیده
منابع مشابه
Optimal transition paths of stochastic chemical kinetic systems.
We present a new framework for finding the optimal transition paths of metastable stochastic chemical kinetic systems with large system sizes. The optimal transition paths are identified, in terms of reaction advancement coordinates, to be the most probable paths according to large deviation theory for the limiting dynamics governed by stochastic differential equations. Dynamical equations for ...
متن کاملRigorous Modeling and Validation of CANopen Systems
CANopen is an increasingly popular protocol for the design of networked embedded systems. Nonetheless, the large variety of communication and network management functionalities supported in it can increase significantly systems complexity and in turn, the needs for system validation at design time. We present hereafter a novel approach relying on modeling and verification techniques, allowing t...
متن کاملSampling diffusive transition paths.
The authors address the problem of sampling double-ended diffusive paths. The ensemble of paths is expressed using a symmetric version of the Onsager-Machlup formula, which only requires evaluation of the force field and which, upon direct time discretization, gives rise to a symmetric integrator that is accurate to second order. Efficiently sampling this ensemble requires avoiding the well-kno...
متن کاملOccurence Probabilities of Stochastic Paths
An analytical formula for the occurence probability of Markovian stochastic paths with repeatedly visited and/or equal departure rates is derived. This formula is essential for an efficient investigation of the trajectories belonging to random walk models and for a numerical evaluation of the ‘contracted path integral solution’ of the discrete master equation [Phys. Lett. A 195, 128 (1994)]. Ty...
متن کاملStochastic neural field equations: a rigorous footing
We here consider a stochastic version of the classical neural field equation that is currently actively studied in the mathematical neuroscience community. Our goal is to present a well-known rigorous probabilistic framework in which to study these equations in a way that is accessible to practitioners currently working in the area, and thus to bridge some of the cultural/scientific gaps betwee...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2019
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2019.04.012