REVIEW 2 cited by
Packing, coding, and ground states
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
These are the lecture notes from my 2014 PCMI graduate summer school lectures. In these lectures, we'll study simple models of materials from several different perspectives: geometry (packing problems), information theory (error-correcting codes), and physics (ground states of interacting particle systems). These perspectives each shed light on some of the same problems and phenomena, while highlighting different techniques and connections. One noteworthy phenomenon is the exceptional symmetry that is found in certain special cases, and we'll examine when and why it occurs. The overall theme of the lectures is thus order vs. disorder. How much symmetry can we expect to see in optimal geometric structures?
Forward citations
Cited by 2 Pith papers
-
High-dimensional theory of the glass transition revisited: hopping and local defects
Allowing replica-molecule dissociation shifts the high-d hard-sphere dynamical glass transition to ϕ_d ∼ d log d / 2^{d+1}, matching the CJMS packing lower bound, while leaving the leading Kauzmann density unchanged.
-
Continuous-Variable Quantum MacWilliams Identities
Continuous-variable quantum MacWilliams identities yield quantum Cohn-Elkies and Levenshtein bounds, and conditional optimality of E8/Leech GKP codes.
Discussion (0). Continue with ORCID to comment.