In October-December 2020, within the framework of the project «Mathematical Modeling, Analysis and Management of Complex Systems in Economics» of the Moscow Mathematical Center in cooperation with the International Institute for Applied Systems Analysis (IIASA; Austria), a series of lectures will be held on applied modeling problems and management of complex systems.
Lectures will be held on Tuesdays at 18:00 in the Zoom conference format.
Applications of diffusion processes in multi-agent networks
About the lecturer
research scholar with the Advanced Systems Analysis (ASA) Program at the International Institute for Applied Systems Analysis (IIASA)
BIO: Dr. Wildemeersch received his PhD degree in Electrical Engineering, Mathematics and Computer Science at the University of Twente, the Netherlands, in 2013. He gained professional experience at the Joint Research Centre of the European Commission, the Agency for Science, Technology and Research (A*STAR) in Singapore, and the Singapore University of Technology and Design (SUTD).
AREAS OF RESEARCH: His scientific interests lie in the broad field of decision-making, applying tools from optimization, probability theory, and network science. His current work concentrates on decisions under uncertainty, risk management strategies, and the evolution of cooperation.
Diffusion processes are instrumental to describe the movement of a continuous quantity in a network of interacting agents. In this talk, I will present a framework for diffusion in networks and study in particular two classes of agent interactions depending on whether the total network quantity follows a conservation law. These two classes of interactions can represent a wide range of network phenomena: conservative flows can represent financial and trade flows or human migration, whereas non-conservative flows can capture for instance opinion dynamics. The presented framework allows the comparison of the network dynamics under the two protocols in the presence and absence of external control.
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