Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4951924 | Theoretical Computer Science | 2017 | 11 Pages |
Abstract
A Garden of Eden state in a dynamical system is one with no preimage. For operations on partitions known as the sand pile model and its generalizations, we characterize and enumerate these Garden of Eden partitions. In addition to motivation from the models themselves, there are also connections to the Rogers-Ramanujan identities and partitions with short sequences studied by Andrews.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Jaclyn Anderson, Kristina C. Garrett, Brian Hopkins,