70 citations · 427 across the 46 of their papers we have counts for
46 papers
Localization, fractality, and ergodicity in a monitored qubit
Paul Pöpperl, Igor V. Gornyi, David B. Saakian +1
We study the statistical properties of a single two-level system (qubit) subject to repetitive ancilla-based measurements. This setup is a fundamental minimal model for exploring t…
The non-perturbative phenomenon for the Crow Kimura model with stochastic resetting
R. Poghosyan, R. Zadourian, David B. Saakian
We consider the Crow Kimura model, modified via stochastic resetting. There are two principally different situations: First, when due to resetting the system jumps to the low fitne…
A simple statistical physics model for the epidemic with incubation period
David B. Saakian
Based on the classical SIR model, we derive a simple modification for the dynamics of epidemics with a known incubation period of infection. The model is described by a system of i…
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…
The cell cycle related rhythms, cells' states correlation and the cancer
David B. Saakian
We consider the decision making by mammalian cells, looking them as dynamic systems with rhythms. We calculate the effective dimension of the cell division model of the healthy mam…