Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Mortveit, Henning S"'
Autor:
Mortveit, Henning S., Pederson, Ryan
Publikováno v:
Bulletin of Mathematical Biology 81.5 (2019): 1442-1460
We present mathematical techniques for exhaustive studies of long-term dynamics of asynchronous biological system models. Specifically, we extend the notion of $\kappa$-equivalence developed for graph dynamical systems to support systematic analysis
Externí odkaz:
http://arxiv.org/abs/2208.11732
In this paper, we present BESSIE (Behavior and Epidemic Simulator for Synthetic Information Environments), an open source, agent-based simulator for COVID-type epidemics. BESSIE uses a synthetic population where each person has demographic attributes
Externí odkaz:
http://arxiv.org/abs/2203.11414
Autor:
Meyur, Rounak, Vullikanti, Anil, Swarup, Samarth, Mortveit, Henning S., Centeno, Virgilio, Phadke, Arun, Poor, H. Vincent, Marathe, Madhav V.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2022 Oct . 119(42), 1-9.
Externí odkaz:
https://www.jstor.org/stable/27211497
Autor:
Brower, Anna E., Ramesh, Balaji, Islam, Kazi Ashik, Mortveit, Henning S., Hoops, Stefan, Vullikanti, Anil, Marathe, Madhav V., Zaitchik, Benjamin, Gohlke, Julia M., Swarup, Samarth
Publikováno v:
In Computers, Environment and Urban Systems October 2023 105
In this paper we analyze Garden-of-Eden (GoE) states and fixed points of monotone, sequential dynamical systems (SDS). For any monotone SDS and fixed update schedule, we identify a particular set of states, each state being either a GoE state or reac
Externí odkaz:
http://arxiv.org/abs/1805.03163
A broad range of nonlinear processes over networks are governed by threshold dynamics. So far, existing mathematical theory characterizing the behavior of such systems has largely been concerned with the case where the thresholds are static. In this
Externí odkaz:
http://arxiv.org/abs/1305.4599
Publikováno v:
Mathematics and Theoretical Computer Science, proc, AP, 29-46, 2012
This paper characterizes the attractor structure of synchronous and asynchronous Boolean networks induced by bi-threshold functions. Bi-threshold functions are generalizations of classical threshold functions and have separate threshold values for th
Externí odkaz:
http://arxiv.org/abs/1108.2974
Publikováno v:
ACRI 2010, LNCS 6350, pp. 409-418, 2010
The dynamics group of an asynchronous cellular automaton (ACA) relates properties of its long term dynamics to the structure of Coxeter groups. The key mathematical feature connecting these diverse fields is involutions. Group-theoretic results in th
Externí odkaz:
http://arxiv.org/abs/1010.1955
Publikováno v:
Electron. J. Combin. 18(1) (2011) #R197
We study the equivalence relation on the set of acyclic orientations of an undirected graph G generated by source-to-sink conversions. These conversions arise in the contexts of admissible sequences in Coxeter theory, quiver representations, and asyn
Externí odkaz:
http://arxiv.org/abs/0910.4376
In this article, we study finite dynamical systems defined over graphs, where the functions are applied asynchronously. Our goal is to quantify and understand stability of the dynamics with respect to the update sequence, and to relate this to struct
Externí odkaz:
http://arxiv.org/abs/0909.1723