REVIEW 2 cited by
Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization
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
Signed reviews
read the original abstract
In this article, we study the hierarchical structure of metastability in the reversible inclusion process. We fully characterize the third time scale of metastability subject to any underlying geometry of the system and prove that this is the last time scale. We also demonstrate that there are no other meaningful time scales except the three identified ones. This work completes the verification of the conjecture made in [7] which was partially resolved on the first time scale in [7] and on the second time scale in [25]. Main tools are potential-theoretic approach and martingale approach to metastability; we thoroughly investigate the highly-complicated energy landscape of the system to construct suitable test objects to provide sharp asymptotics on capacities.
Forward citations
Cited by 2 Pith papers
-
One- and two-particle spectral gap identities for the symmetric inclusion process and related models
In the small-diffusivity limit, the spectral gap of the symmetric inclusion process with any number of particles equals that of the two-particle process, while adding reservoirs restores the one-particle random walk identity.
-
Metastable Hierarchy in Abstract Low-Temperature Lattice Models
The paper reviews a theorem stating that any Metropolis-type lattice model has a finite hierarchical decomposition of metastable plateaus with Markov-chain limits at each level, and surveys four Ising model examples.
Discussion (0). Continue with ORCID to comment.