Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Conrad, Natasa Djurdjevac"'
In particle systems, flocking refers to the phenomenon where particles' individual velocities eventually align. The Cucker-Smale model is a well-known mathematical framework that describes this behavior. Many continuous descriptions of the Cucker-Sma
Externí odkaz:
http://arxiv.org/abs/2407.18717
Time-evolving graphs arise frequently when modeling complex dynamical systems such as social networks, traffic flow, and biological processes. Developing techniques to identify and analyze communities in these time-varying graph structures is an impo
Externí odkaz:
http://arxiv.org/abs/2407.12864
Publikováno v:
Chaos 34, 093116 (2024)
The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this interplay as a on
Externí odkaz:
http://arxiv.org/abs/2407.00145
The Koopman operator has entered and transformed many research areas over the last years. Although the underlying concept$\unicode{x2013}$representing highly nonlinear dynamical systems by infinite-dimensional linear operators$\unicode{x2013}$has bee
Externí odkaz:
http://arxiv.org/abs/2405.08940
Agent-based models (ABMs) provide an intuitive and powerful framework for studying social dynamics by modeling the interactions of individuals from the perspective of each individual. In addition to simulating and forecasting the dynamics of ABMs, th
Externí odkaz:
http://arxiv.org/abs/2306.17666
Epidemiological models can not only be used to forecast the course of a pandemic like COVID-19, but also to propose and design non-pharmaceutical interventions such as school and work closing. In general, the design of optimal policies leads to nonli
Externí odkaz:
http://arxiv.org/abs/2304.02281
Digital communication has made the public discourse considerably more complex, and new actors and strategies have emerged as a result of this seismic shift. Aside from the often-studied interactions among individuals during opinion formation, which h
Externí odkaz:
http://arxiv.org/abs/2301.13661
We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable. Agents' m
Externí odkaz:
http://arxiv.org/abs/2209.07151
Publikováno v:
Mathematical Biosciences 336, 108619 (2021)
Agent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simula
Externí odkaz:
http://arxiv.org/abs/2205.05000
While spectral clustering algorithms for undirected graphs are well established and have been successfully applied to unsupervised machine learning problems ranging from image segmentation and genome sequencing to signal processing and social network
Externí odkaz:
http://arxiv.org/abs/2204.02951