Zobrazeno 1 - 10
of 465
pro vyhledávání: '"Anderson, David F."'
Autor:
Anderson, David F., Howells, Aidan S.
Models of reaction networks within interacting compartments (RNIC) are a generalization of stochastic reaction networks. It is most natural to think of the interacting compartments as ``cells'' that can appear, degrade, split, and even merge, with ea
Externí odkaz:
http://arxiv.org/abs/2408.09208
Autor:
Anderson, David F., Joshi, Badal
Recent technological advances allow us to view chemical mass-action systems as analog computers. In this context, the inputs to a computation are encoded as initial values of certain chemical species while the outputs are the limiting values of other
Externí odkaz:
http://arxiv.org/abs/2404.04396
Let $R$ be a commutative ring with $1 \neq 0$. A proper ideal $I$ of $R$ is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of $R$ if whenever $a^2 - b^2 \in I$ for $0 \neq a, b \in R$, then $a + b \in I$ or $a - b \in I$. In t
Externí odkaz:
http://arxiv.org/abs/2402.18704
This paper provides a new path method that can be used to determine when an ergodic continuous-time Markov chain on $\mathbb Z^d$ converges exponentially fast to its stationary distribution in $L^2$. Specifically, we provide general conditions that g
Externí odkaz:
http://arxiv.org/abs/2309.06970
Autor:
Anderson, David F., Howells, Aidan S.
Stochastic reaction networks, which are usually modeled as continuous-time Markov chains on $\mathbb Z^d_{\ge 0}$, and simulated via a version of the "Gillespie algorithm," have proven to be a useful tool for the understanding of processes, chemical
Externí odkaz:
http://arxiv.org/abs/2303.14093
Autor:
Anderson, David F., Kim, Jinsu
The past few decades have seen robust research on questions regarding the existence, form, and properties of stationary distributions of stochastically modeled reaction networks. When a stochastic model admits a stationary distribution an important p
Externí odkaz:
http://arxiv.org/abs/2209.06988
This paper is concerned with the utilization of deterministically modeled chemical reaction networks for the implementation of (feed-forward) neural networks. We develop a general mathematical framework and prove that the ordinary differential equati
Externí odkaz:
http://arxiv.org/abs/2010.13290
Autor:
Anderson, David F., Nguyen, Tung D.
Deficiency zero is an important network structure and has been the focus of many celebrated results within reaction network theory. In our previous paper \textit{Prevalence of deficiency zero reaction networks in an Erd\H os-R\'enyi framework}, we pr
Externí odkaz:
http://arxiv.org/abs/2010.07201
Autor:
Anderson, David F., Gotti, Felix
An integral domain is atomic if every nonzero nonunit factors into irreducibles. Let $R$ be an integral domain. We say that $R$ is a bounded factorization domain if it is atomic and for every nonzero nonunit $x \in R$, there is a positive integer $N$
Externí odkaz:
http://arxiv.org/abs/2010.02722