70 citations · 427 across the 46 of their papers we have counts for
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Exact probability distribution functions for Parrondo's games
Rubina Zadourian, David B Saakian, Andreas Klumper
We consider discrete time Brownian ratchet models: Parrondo's games. Using the Fourier transform, we calculate the exact probability distribution functions for both the capital dep…
Nonlinear Stochastic Dynamics of Complex Systems, III: Noneqilibrium Thermodynamics of Self-Replication Kinetics
David B. Saakian, Hong Qian
We briefly review the recently developed, Markov process based isothermal chemical thermodynamics for nonlinear, driven mesoscopic kinetic systems. Both the instantaneous Shannon e…
Exact results in the large system size limit for the dynamics of the Chemical Master Equation, a one dimensional chain of equations
Arax Martirosyan, David B. Saakian
We apply the Hamilton-Jacobi equation (HJE) formalism to solve the dynamics of the Chemical Master Equation (CME). We found exact analytical expressions (in large system-size limit…
The calculation of multi-fractal properties of directed random walks on hierarchic trees with continuous branching
David B. Saakian
We consider the hierarchic tree Random Energy Model with continuous branching and calculate the moments of the corresponding partition function. We establish the multifractal prope…
The Markov Switching Multi-fractal models as a new class of REM-like models in 1-dimensional space
David B. Saakian
We map the Markov Switching Multi-fractal model (MSM) onto the Random Energy Model (REM). The MSM is, like the REM, an exactly solvable model in 1-d space with non-trivial correlat…
Dynamics of the Chemical Master Equation, a strip of chains of equations in d-dimensional space
Vahe Galstyan, David B. Saakian
We investigate the multi-chain version of the Chemical Master Equation, when there are transitions between different states inside the long chains, as well as transitions between (…