FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2131981330> ?p ?o ?g. }

• W2131981330 endingPage "1024" @default.
• W2131981330 startingPage "939" @default.
• W2131981330 abstract "This work is the first in a series of papers devoted to the construction and study of scaling limits of dynamical and near-critical planar percolation and related objects like invasion percolation and the Minimal Spanning Tree. We show here that the counting measure on the set of pivotal points of critical site percolation on the triangular grid, normalized appropriately, has a scaling limit, which is a function of the scaling limit of the percolation configuration. We also show that this limit measure is conformally covariant, with exponent 3/4. Similar results hold for the counting measure on macroscopic open clusters (the area measure) and for the counting measure on interfaces (length measure). Since the aforementioned processes are very much governed by pivotal sites, the construction and properties of the “local time”-like pivotal measure are key results in this project. Another application is that the existence of the limit length measure on the interface is a key step towards constructing the so-called natural time-parametrization of the $mathrm {SLE}_6$ curve. The proofs make extensive use of coupling arguments, based on the separation of interfaces phenomenon. This is a very useful tool in planar statistical physics, on which we included a self-contained Appendix. Simple corollaries of our methods include ratio limit theorems for arm probabilities and the rotational invariance of the two-point function." @default.
• W2131981330 created "2016-06-24" @default.
• W2131981330 creator A5046071283 @default.
• W2131981330 creator A5056555920 @default.
• W2131981330 creator A5063213545 @default.
• W2131981330 date "2013-06-13" @default.
• W2131981330 modified "2023-10-14" @default.
• W2131981330 title "Pivotal, cluster, and interface measures for critical planar percolation" @default.
• W2131981330 cites W1487891262 @default.
• W2131981330 cites W1594224684 @default.
• W2131981330 cites W1639194677 @default.
• W2131981330 cites W1767750567 @default.
• W2131981330 cites W1982037139 @default.
• W2131981330 cites W1990871607 @default.
• W2131981330 cites W2008137962 @default.
• W2131981330 cites W2016387789 @default.
• W2131981330 cites W2047539521 @default.
• W2131981330 cites W2048825720 @default.
• W2131981330 cites W2053784561 @default.
• W2131981330 cites W2054660109 @default.
• W2131981330 cites W2066518519 @default.
• W2131981330 cites W2078345182 @default.
• W2131981330 cites W2079870261 @default.
• W2131981330 cites W2080233228 @default.
• W2131981330 cites W2081256580 @default.
• W2131981330 cites W2099626568 @default.
• W2131981330 cites W2102558769 @default.
• W2131981330 cites W2115738788 @default.
• W2131981330 cites W2116626002 @default.
• W2131981330 cites W2116676908 @default.
• W2131981330 cites W2118154107 @default.
• W2131981330 cites W2120645838 @default.
• W2131981330 cites W2124920918 @default.
• W2131981330 cites W2137807387 @default.
• W2131981330 cites W2145617053 @default.
• W2131981330 cites W2156895775 @default.
• W2131981330 cites W2158650244 @default.
• W2131981330 cites W2165422922 @default.
• W2131981330 cites W2349285619 @default.
• W2131981330 cites W2950019662 @default.
• W2131981330 cites W2963402146 @default.
• W2131981330 cites W2963560610 @default.
• W2131981330 cites W3098683765 @default.
• W2131981330 cites W3101109859 @default.
• W2131981330 cites W3103730521 @default.
• W2131981330 cites W3104244307 @default.
• W2131981330 doi "https://doi.org/10.1090/s0894-0347-2013-00772-9" @default.
• W2131981330 hasPublicationYear "2013" @default.
• W2131981330 type Work @default.
• W2131981330 sameAs 2131981330 @default.
• W2131981330 citedByCount "65" @default.
• W2131981330 countsByYear W21319813302012 @default.
• W2131981330 countsByYear W21319813302013 @default.
• W2131981330 countsByYear W21319813302014 @default.
• W2131981330 countsByYear W21319813302015 @default.
• W2131981330 countsByYear W21319813302016 @default.
• W2131981330 countsByYear W21319813302017 @default.
• W2131981330 countsByYear W21319813302018 @default.
• W2131981330 countsByYear W21319813302019 @default.
• W2131981330 countsByYear W21319813302020 @default.
• W2131981330 countsByYear W21319813302021 @default.
• W2131981330 countsByYear W21319813302022 @default.
• W2131981330 countsByYear W21319813302023 @default.
• W2131981330 crossrefType "journal-article" @default.
• W2131981330 hasAuthorship W2131981330A5046071283 @default.
• W2131981330 hasAuthorship W2131981330A5056555920 @default.
• W2131981330 hasAuthorship W2131981330A5063213545 @default.
• W2131981330 hasBestOaLocation W21319813301 @default.
• W2131981330 hasConcept C121332964 @default.
• W2131981330 hasConcept C121864883 @default.
• W2131981330 hasConcept C134306372 @default.
• W2131981330 hasConcept C151201525 @default.
• W2131981330 hasConcept C158574103 @default.
• W2131981330 hasConcept C164154869 @default.
• W2131981330 hasConcept C169760540 @default.
• W2131981330 hasConcept C24084028 @default.
• W2131981330 hasConcept C2524010 @default.
• W2131981330 hasConcept C2780009758 @default.
• W2131981330 hasConcept C2780457167 @default.
• W2131981330 hasConcept C33923547 @default.
• W2131981330 hasConcept C41008148 @default.
• W2131981330 hasConcept C77088390 @default.
• W2131981330 hasConcept C86803240 @default.
• W2131981330 hasConcept C99844830 @default.
• W2131981330 hasConceptScore W2131981330C121332964 @default.
• W2131981330 hasConceptScore W2131981330C121864883 @default.
• W2131981330 hasConceptScore W2131981330C134306372 @default.
• W2131981330 hasConceptScore W2131981330C151201525 @default.
• W2131981330 hasConceptScore W2131981330C158574103 @default.
• W2131981330 hasConceptScore W2131981330C164154869 @default.
• W2131981330 hasConceptScore W2131981330C169760540 @default.
• W2131981330 hasConceptScore W2131981330C24084028 @default.
• W2131981330 hasConceptScore W2131981330C2524010 @default.
• W2131981330 hasConceptScore W2131981330C2780009758 @default.
• W2131981330 hasConceptScore W2131981330C2780457167 @default.
• W2131981330 hasConceptScore W2131981330C33923547 @default.
• W2131981330 hasConceptScore W2131981330C41008148 @default.
• W2131981330 hasConceptScore W2131981330C77088390 @default.

• next