Konstantinos Spiliopoulos
Understanding Social Dynamics Through Coevolving Latent Space Networks With Attractors
This research project will develop a general class of coevolving network models. In social systems, interactions frequently influence individual behavior and beliefs which can, in turn, impact interactions. Specific variants of this type of coevolutionary phenomenon include opinion dynamics, voter behavior, observational learning, herding or flocking, and polarization. Network-based models are natural for representing such […]
Multiscale Effects and Tail Events for Infinite-Dimensional Processes and Interacting Particle Systems
Probabilistic models are commonly used to represent physical, biological, and financial phenomena that are often too complex to solve, approximate or even simulate on computers. One of the challenges facing applied mathematics and probability is to obtain accurate and provably efficient methods to approximate and simulate a range of complex systems using probabilistic models. The […]
CAREER: Multiscale Stochastic Processes, Monte Carlo Methods and Irreversibility
One of the challenges facing today applied mathematics and probability is to obtain accurate and provably efficient methods to approximate and simulate a range of complex systems using probabilistic models. Probabilistic models are commonly used to represent physical, biological and financial phenomena that are often however too complex to solve, approximate or even simulate. The […]