- Second Order \( \Gamma \)-Limit for the Cahn-Hilliard Functional. G. Leoni, R. Murray. ARMA. 2016. Published, Preprint
- Algebraic Decay to Equilibrium for the Becker-Doring Equations. R. Murray, B. Pego. SIMA. 2016. Published, Preprint.
- Slow Motion for the Nonlocal Allen Cahn Equation in n-dimensions. R. Murray, M. Rinaldi. Calc Var PDE 2016. Published, Preprint
- Cutoff Estimates for the Linearized Becker-Doring Equations. R. Murray, B. Pego. Comm. Math. Sci. 2017. Published, Preprint.
- Local minimizers and slow motion for the mass preserving Allen–Cahn equation in higher dimensions. G. Leoni, R. Murray. To Appear in Proceedings of the AMS. Preprint
- On Best-Response Dynamics in Potential Games. B. Swenson, R. Murray, S. Kar. SIAM Control, 2018. Published. Preprint.
- Regular Potential Games. B. Swenson, R. Murray, S. Kar. Submitted January 2018. Preprint,
- A new analytical approach to consistency and overfitting in regularized empirical risk minimization. N. Garcia Trillos, R. Murray. EJAM, 2017. Published Preprint
- Revisiting Normalized Gradient Descent: Evasion of Saddle Points. R. Murray, B. Swenson, S. Kar. Submitted November 2017. Preprint.
- A model for system uncertainty in reinforcement learning. R. Murray, M. Palladino. To appear in Systems and Control Letters. Preprint.
- Spatial extreme values: variational techniques and stochastic integrals. N. Garcia Trillos, R. Murray, D. Sanz-Alonso. Submitted August 2018. Preprint.
In Preparation:
12. A political districting algorithm with communities of interest. R. Murray, B. Tengelsen.
13. Accelerating Stein variational gradient descent. R. Murray
14. Wright-Fisher dynamics with periodic fitness fluctuations. R. Murray, G. Young
15. On convergence of best response dynamics with continuous choice sets. R. Murray, B. Swenson, S. Kar
16. Discrete normalized gradient dynamics: stable manifolds and convergence rates. R. Murray, B. Swenson
17. On self-similar solutions to Euler's equation in two dimensions. A. Bressan, R. Murray
Here is a version of my CV (9-2018).