On the steady-state probability distribution of nonequilibrium stochastic systems

Journal of the Korean Physical Society ◽

10.3938/jkps.66.544 ◽

2015 ◽

Vol 66 (4) ◽

pp. 544-552

Author(s):

Jae Dong Noh ◽

Joongul Lee

Keyword(s):

Steady State ◽

Probability Distribution ◽

Stochastic Systems ◽

State Probability ◽

Steady State Probability

Download Full-text

An approximation method for solving the steady-state probability distribution of probabilistic Boolean networks

Bioinformatics ◽

10.1093/bioinformatics/btm142 ◽

2007 ◽

Vol 23 (12) ◽

pp. 1511-1518 ◽

Author(s):

W.-K. Ching ◽

S. Zhang ◽

M. K. Ng ◽

T. Akutsu

Keyword(s):

Steady State ◽

Probability Distribution ◽

Approximation Method ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Probabilistic Boolean Networks

Download Full-text

Families of Fokker-Planck equations and the associated entropic form for a distinct steady-state probability distribution with a known external force field

Physical Review E ◽

10.1103/physreve.91.022104 ◽

2015 ◽

Vol 91 (2) ◽

Author(s):

Somayeh Asgarani

Keyword(s):

Steady State ◽

Probability Distribution ◽

Force Field ◽

External Force ◽

State Probability ◽

Steady State Probability ◽

External Force Field ◽

Fokker Planck Equations ◽

Download Full-text

Exact solution for steady–state probability distribution of a simple stochastic lotka–volterra food chain

Stochastic Analysis and Applications ◽

10.1080/07362998808809137 ◽

1988 ◽

Vol 6 (1) ◽

pp. 103-116 ◽

Author(s):

D.W.K. Yeung

Keyword(s):

Exact Solution ◽

Steady State ◽

Probability Distribution ◽

State Probability ◽

Steady State Probability

Download Full-text

On computation of the steady-state probability distribution of probabilistic Boolean networks with gene perturbation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.02.022 ◽

2012 ◽

Vol 236 (16) ◽

pp. 4067-4081 ◽

Author(s):

Wen Li ◽

Lu-Bin Cui ◽

Michael K. Ng

Keyword(s):

Steady State ◽

Probability Distribution ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Probabilistic Boolean Networks ◽

Gene Perturbation

Download Full-text

An exact soluble equation for the steady state probability distribution in a nonlinear system: application to the noise reduction in Raman Ring Laser

Optical and Quantum Electronics ◽

10.1007/s11082-011-9516-1 ◽

2011 ◽

Vol 43 (11-15) ◽

pp. 137-145 ◽

Author(s):

Van Cao Long ◽

Khoa Doan Quoc

Keyword(s):

Steady State ◽

Nonlinear System ◽

Probability Distribution ◽

Noise Reduction ◽

System Application ◽

State Probability ◽

Steady State Probability

Download Full-text

The Approach to Equilibrium and the Steady-State Probability Distribution of Adult Numbers in Tribolium brevicornis

The American Naturalist ◽

10.1086/283893 ◽

1982 ◽

Vol 119 (1) ◽

pp. 102-111 ◽

Author(s):

R. A. Desharnais ◽

R. F. Costantino

Keyword(s):

Steady State ◽

Probability Distribution ◽

State Probability ◽

Approach To Equilibrium ◽

Steady State Probability

Download Full-text

Steady state probability distribution for turbulence fluctuations

Zeitschrift für Physik B Condensed Matter and Quanta ◽

10.1007/bf01325401 ◽

1975 ◽

Vol 21 (4) ◽

pp. 403-408 ◽

Author(s):

S. Grossmann

Keyword(s):

Steady State ◽

Probability Distribution ◽

State Probability ◽

Steady State Probability

Download Full-text

Steady state probability distribution of a two-product-type and multi-parallel-machine system under prioritized hedging point control policy

2017 13th IEEE Conference on Automation Science and Engineering (CASE) ◽

10.1109/coase.2017.8256107 ◽

2017 ◽

Author(s):

Wenliang Chen ◽

Zheng Wang ◽

Felix T. S. Chan

Keyword(s):

Steady State ◽

Probability Distribution ◽

Control Policy ◽

Parallel Machine ◽

Product Type ◽

State Probability ◽

Steady State Probability ◽

Machine System ◽

Download Full-text

Efficient calculation of steady state probability distribution for stochastic biochemical reaction network

BMC Genomics ◽

10.1186/1471-2164-13-s6-s10 ◽

2012 ◽

Vol 13 (S6) ◽

Author(s):

Shahriar Karim ◽

Gregery T Buzzard ◽

David M Umulis

Keyword(s):

Steady State ◽

Probability Distribution ◽

Reaction Network ◽

Biochemical Reaction ◽

State Probability ◽

Steady State Probability ◽

Biochemical Reaction Network ◽

Efficient Calculation

Download Full-text

A formula for singular perturbations of Markov chains

Journal of Applied Probability ◽

10.1017/s0021900200045381 ◽

1994 ◽

Vol 31 (03) ◽

pp. 829-833 ◽

Author(s):

Jean B. Lasserre

Keyword(s):

Markov Chain ◽

Steady State ◽

Probability Distribution ◽

Markov Chains ◽

Singular Perturbations ◽

Singularly Perturbed ◽

State Probability ◽

Regular Perturbation ◽

Steady State Probability ◽

Fundamental Matrices

We give formulas for updating both the steady-state probability distribution and the fundamental matrices of a singularly perturbed Markov chain. This formula generalizes Schweitzer's regular perturbation formulas to the case of singular perturbations.

Download Full-text