Sökning: onr:"swepub:oai:DiVA.org:kth-234572" >
AIRY POINT PROCESS ...
AIRY POINT PROCESS AT THE LIQUID-GAS BOUNDARY
-
- Beffara, Vincent (författare)
- Univ Grenoble Alpes, CNRS, Inst Fourier, F-38000 Grenoble, France.
-
- Chhita, Sunil (författare)
- Univ Durham, Dept Math Sci, Durham DH1 3LE, England.
-
- Johansson, Kurt, 1960- (författare)
- KTH,Matematik (Avd.),Royal Inst Technol KTH, Dept Math, Linstedtsvagen 25, SE-10044 Stockholm, Sweden.
-
Univ Grenoble Alpes, CNRS, Inst Fourier, F-38000 Grenoble, France Univ Durham, Dept Math Sci, Durham DH1 3LE, England. (creator_code:org_t)
- Institute of Mathematical Statistics, 2018
- 2018
- Engelska.
-
Ingår i: Annals of Probability. - : Institute of Mathematical Statistics. - 0091-1798 .- 2168-894X. ; 46:5, s. 2973-3013
- Relaterad länk:
-
https://urn.kb.se/re...
-
visa fler...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- Domino tilings of the two-periodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations between dominoes and are generally known as solid, liquid and gas. The liquid-solid boundary is easy to define microscopically and is known in many models to be described by the Airy process in the limit of a large random tiling. The liquid-gas boundary has no obvious microscopic description. Using the height function, we define a random measure in the two-periodic Aztec diamond designed to detect the long range correlations visible at the liquid-gas boundary. We prove that this random measure converges to the extended Airy point process. This indicates that, in a sense, the liquid-gas boundary should also be described by the Airy process.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Domino tilings
- Airy kernel point process
- two-periodic Aztec diamond
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas