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In this talk, we will discuss some of our recent work on the master equation involving the fully fractional heat operator. Specifically, we will present two main results. The first one pertains to a g...
Carl Friedrich Gauss is one of the greatest mathematicians in history, and his work has profoundly influenced all subjects of mathematics, especially in number theory, analysis, differential geometry ...
While the charge and spin properties of electrons are widely utilized in modern day technologies such as transistors and memories, another aspect of the subatomic particle has long remained uncharted....
Physical differences between males and females in species are common, but there remains much to learn about the genetic mechanisms behind these differences.  New research by scientists...
The results of a survey have been published in a report assessing the academic experiences of Master's candidates against the skill sets identified as valuable for non-academic working professionals. ...
Mark Kac considered a Markov Chain on the n–sphere based on random rotations in randomly chosen coordinate planes. This same walk was used by Hastings on the orthogonal group. We show that the walk ...
Cell cycle progression in Caulobacter crescentus depends on the master regulator, CtrA. During the transition from swarmer to stalk cell (G1 to S phase), CtrA is degraded by the AAA+ protease ClpXP an...
Generalized master equations provide a concise formalism for studying reduced population dynamics. Usually, these master equations require a perturbative expansion of the memory kernels governing the ...
The author’s observation on the new urban form of Ankang city grounded on the landscape pattern by analyzing and evaluating the present conditions of land resources, historic cultural attractions, and...
Abstract: The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stoc...
Abstract: This article reviews recent work on the Kac master equation and its low dimensional counterpart, the Kac equation.
A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Marko...
Dual phospho/dephosphorylation cycles, as well as covalent enzymatic-catalyzed modi cations of substrates, are widely di used within cellular systems and are crucial for the control of complex respons...
The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master...
We consider open quantum systems with dynamics described by a stationary master equations that has a perturbative expansion in the system-environment interaction. We show that, contrary to intuition,...

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