4 papers
Optimal local interventions in the two-dimensional Abelian sandpile model
Maike C. de Jongh, Richard J. Boucherie, M. N. M. van Lieshout
The Abelian sandpile model serves as a canonical example of self-organized criticality. This critical behavior manifests itself through large cascading events triggered by small pe…
Optimal strategies for controlled growth in metastable Kawasaki dynamics
Simone Baldassarri, Maike C. de Jongh
In this paper, we develop a Markov decision process (MDP) formulation for the low--temperature metastable Ising model evolving according to Kawasaki dynamics in a finite box of the…
Optimal strategies for the growth of dual-seeded lattice structures
Maike C. de Jongh, Cristian Spitoni, Emilio N. M. Cirillo
Optimal growth of structures governed by spatially stochastic dynamics arises in many scientific settings, for example in processes such as solution-based crystallization and the f…
Controlling the low-temperature Ising model using spatiotemporal Markov decision theory
M. C. de Jongh, Richard J. Boucherie, M. N. M. van Lieshout
We introduce the spatiotemporal Markov decision process (STMDP), a special type of Markov decision process that models sequential decision-making problems which are not only charac…