180 citations · 419 across the 11 of their papers we have counts for
11 papers
Conditional probability density functional theory for solids
Peiwei You, Ryan Pederson, Kieron Burke +1
The recently developed conditional probability density functional theory (CP-DFT) yields direct access to the exchange-correlation hole of a system, an important correlation functi…
The difference between molecules and materials: Reassessing the role of exact conditions in density functional theory
Ryan Pederson, Kieron Burke
Exact conditions have long been used to guide the construction of density functional approximations. But hundreds of empirical-based approximations tailored for chemistry are in us…
Attractor Stability in Finite Asynchronous Biological System Models
Henning S. Mortveit, Ryan Pederson
We present mathematical techniques for exhaustive studies of long-term dynamics of asynchronous biological system models. Specifically, we extend the notion of -equivalence deve…
Seven Useful Questions in Density Functional Theory
Steven Crisostomo, Ryan Pederson, John Kozlowski +6
We explore a variety of unsolved problems in density functional theory, where mathematicians might prove useful. We give the background and context of the different problems, and w…
Machine learning and density functional theory
Ryan Pederson, Bhupalee Kalita, Kieron Burke
Over the past decade machine learning has made significant advances in approximating density functionals, but whether this signals the end of human-designed functionals remains to…
Conditional probability density functional theory
Ryan Pederson, Jielun Chen, Steven R. White +1
We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. In essence, CP-DFT determines the ground-state energy of a system by finding the…