Detailed Balance and Markov Chain Monte Carlo Simulation with Sequential UpdatingRuichao Ren
This fact allows elementary graph-theoretic (non-algebraic) proofs of a previous result (detailed balance = complex balance + formal balance), our main result (detailed balance = complex balance + cycle balance), and a corresponding result in the setting of continuous-time Markov chains....
The mere existence of a probability distribution satisfying the detailed-balance equations is not sufficient to guarantee non-explosion of a continuous time Markov chain. It might happen that the chain jumps infinitely often in a finite time interval, see [50, Sec. 3.5] for an example. The ...
In particular, the presence of the co-crystalline lamellar structure is the manifestation of interaction balance between self-crystallization and co-crystallization of the dissimilar polymers on the resulting nanostructure of the BCP. The current study demonstrates the co-crystallization nature of all-...
PROOF OF THE CONVERGENCE THEOREM FOR THE POWERS OF THE STOCHASTIC MATRICES UNDER THE DETAILED BALANCE CONDITIONUsing of the computer simulations allows dealing with statistical models which are difficult to handle analytically. Markov Chain Monte Carlo (MCMC) methods (see e.g. [1-12]) are tools ...
Detailed balance is an overly strict condition to ensure a valid Monte Carlo simulation. We show that, under fairly general assumptions, a Monte Carlo simulation need satisfy only the weaker balance condition. Not only does our proof show that sequential updating schemes are correct, but also it...
The process evolves according to a Markov chain, and, unlike in many other existing models, the stationary distribution 鈥so called mutation-selection equilibrium 鈥can easily found and studied. As a special case our model contains a (sub) class of Moran models. The behaviour of the stationary...
A set of equations balancing the expected, steady-state flow rates or "probability flux" between each pair of states or entities of a stochastic process (most typically a Markov chain or queueing...Gass, Saul I.University of MarylandHarris, Carl M....
Recently, Chen, Kastoryano, and Gilyén (arXiv:2311.09207) introduced the first efficiently implementable Lindbladian satisfying the Kubo–Martin–Schwinger (KMS) detailed balance condition, which ensures that the Gibbs state is a fixed point of the dynamics and is applicable to non-commuting ...
Detailed Balance Equationsdoi:10.1007/978-1-4419-1153-7_200136A set of equations balancing the expected, steady-state flow rates or probability flux between each pair of states or entities of a stochastic process (most typically a Markov chain or queueing...Springer US...