Tootfinder

Towards a fundamental theory of modeling discrete systems
Peter Fettke, Wolfgang Reisig
https://arxiv.org/abs/2508.19803 https://arxiv.org/pdf/2508.19803…

Towards a fundamental theory of modeling discrete systems
Modeling is a central concern in both science and engineering. However, we need a new fundamental theory to address the challenges of the digital age. In this paper, we first explain why modeling is fundamental and which challenges must be addressed in the digital world. As a main contribution, we introduce the Heraklit modeling framework as a new approach to modeling. We conclude with some general remarks. Future work will involve the correctness of modeling, the notion of information, and the…

Optimized Control of Duplex Networks
Haoyu Zheng, Xizhe Zhang
https://arxiv.org/abs/2509.21767 https://arxiv.org/pdf/2509.21767

Optimized Control of Duplex Networks
Many real-world complex systems can be modeled as multiplex networks, where each layer represents a distinct set of interactions among the same entities. Controlling such systems-steering them toward desired states using external inputs-is crucial across many domains. However, existing network control theory largely focuses on single-layer networks, and applying separate controls to each layer of a multiplex system often leads to redundant sets of driver nodes, increasing cost and complexity. …