27 citations · 52 across the 4 of their papers we have counts for
4 papers
Time-dependent solutions for a stochastic model of gene expression with molecule production in the form of a compound Poisson process
Jakub Jędrak, Anna Ochab-Marcinek
We study a stochastic model of gene expression, in which protein production has a form of random bursts whose size distribution is arbitrary, whereas protein decay is a first-order…
Influence of gene copy number on self-regulated gene expression
Jakub Jędrak, Anna Ochab-Marcinek
Using an analytically solvable stochastic model, we study the properties of a simple genetic circuit consisting of multiple copies of an self-regulating gene. We analyse how the va…
Statistically-consistent Gutzwiller approach and its equivalence with the mean-field slave-boson method for correlated systems
Jakub Jȩdrak, Jan Kaczmarczyk, Jozef Spałek
We propose a new method of solving a class of mean-field (MF) models, which is based on the Maximum Entropy (MaxEnt) principle with additional constraints included. Next, we show e…
A statistically consistent variational approach to the renormalized mean-field theory of the t-J model: critical hole concentrations for a paired state
Jakub Jȩdrak, Jozef Spałek
Recently, Fukushima [Phys. Rev. B \textbf{78} 115105 (2008)] proposed a systematic derivation of the Gutzwiller approximation for the t-J model. In the present paper, using this ap…