no code implementations • 26 Aug 2021 • Ming Zhong, Jason Miller, Mauro Maggioni
Building accurate and predictive models of the underlying mechanisms of celestial motion has inspired fundamental developments in theoretical physics.
no code implementations • 30 Jan 2021 • Mauro Maggioni, Jason Miller, Hongda Qiu, Ming Zhong
Interacting agent and particle systems are extensively used to model complex phenomena in science and engineering.
no code implementations • 8 Oct 2020 • Jason Miller, Sui Tang, Ming Zhong, Mauro Maggioni
Modeling the complex interactions of systems of particles or agents is a fundamental scientific and mathematical problem that is studied in diverse fields, ranging from physics and biology, to economics and machine learning.
1 code implementation • 23 Dec 2019 • Mauro Maggioni, Jason Miller, Ming Zhong
We consider the fundamental problem of inferring interaction kernels from observations of agent-based dynamical systems given observations of trajectories, in particular for collective dynamical systems exhibiting emergent behaviors with complicated interaction kernels, in a nonparametric fashion, and for kernels which are parametrized by a single unknown parameter.
1 code implementation • 19 Dec 2013 • Jason Miller, Scott Sheffield
We propose QLE$(2, 1)$ as a scaling limit for DLA on a random spanning-tree-decorated planar map, and QLE$(8/3, 0)$ as a scaling limit for the Eden model on a random triangulation.
Probability Mathematical Physics Complex Variables Mathematical Physics