Hume on Personal Identity

Wolfram, Sybil

doi:10.1093/mind/lxxxiii.332.586

Search citation statements

Order By: Relevance

Paper Sections

Select...

Noether's Theorem1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1985

1994

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, as Wolfram [11] has noted, it would be interesting to seek "completely integrable" 1-dimensional cellular automata analogous to the Toda model, KdV equation, and other 1-dimensional completely integrable systems [6,8].…”

Section: Noether's Theoremmentioning

confidence: 99%

An algebraic approach to discrete mechanics

Baez

Gilliam

1994

Lett Math Phys

View full text Add to dashboard Cite

Using basic ideas from algebraic geometry, we extend the methods of Lagrangian and symplectic mechanics to treat a large class of discrete mechanical systems, that is, systems such as cellular automata in which time proceeds in integer steps and the configuration space is discrete. In particular, we derive an analog of the Euler-Lagrange equation from a variational principle, and prove an analog of Noether's theorem. We also construct a symplectic structure on the analog of the phase space, and prove that it is preserved by time evolution.

show abstract

Section: Noether's Theoremmentioning

confidence: 99%