Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Oil and water : a two-type internal aggregation model

Tools
- Tools
+ Tools

Candellero, Elisabetta, Ganguly, Shirshendu, Hoffman, Christopher and Levine, Lionel (2017) Oil and water : a two-type internal aggregation model. Annals of Probability, 45 (6A). pp. 4019-4070. doi:10.1214/16-AOP1157 ISSN 0091-1798.

[img]
Preview
PDF
WRAP-oil-water-two-type-internal-aggregation-model-Candellero-2017.pdf - Published Version - Requires a PDF viewer.

Download (1184Kb) | Preview
[img] PDF
WRAP_1272725-st-061016-oil-and-water (1).pdf - Accepted Version
Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer.

Download (655Kb)
Official URL: http://doi.org/10.1214/16-AOP1157

Request Changes to record.

Abstract

We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n “oil” and n “water” particles at the origin, the particles diffuse in Z according to the following rule: whenever some site x ∈ Z has at least 1 oil and at least 1 water particle present, it fires by sending 1 oil particle and 1 water particle each to an independent random neighbor x±1. Firing continues until every site has at most one type of particles. We establish the correct order for several statistics of this model and identify the scaling limit under assumption of existence.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH): Probabilities, Abelian groups, Logarithms
Journal or Publication Title: Annals of Probability
Publisher: Institute of Mathematical Statistics
ISSN: 0091-1798
Official Date: 27 November 2017
Dates:
DateEvent
27 November 2017Available
20 September 2016Accepted
Volume: 45
Number: 6A
Page Range: pp. 4019-4070
DOI: 10.1214/16-AOP1157
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 7 October 2016
Date of first compliant Open Access: 28 November 2017
Funder: United States. National Security Agency (USNSA)
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
E-1503W01230Austrian Science Fundhttp://dx.doi.org/10.13039/501100002428
PCIG09-GA2011-293619Marie Curie Cancer Carehttp://dx.doi.org/10.13039/501100000654
DMS-0847661National Science Foundationhttp://dx.doi.org/10.13039/100000001
DMS-1308645National Science Foundationhttp://dx.doi.org/10.13039/100000001
H98230-13-1-0827National Security Agencyhttp://dx.doi.org/10.13039/100009226
DMS-1243606National Science Foundationhttp://dx.doi.org/10.13039/100000001
DMS-1455272National Science Foundationhttp://dx.doi.org/10.13039/100000001
UNSPECIFIEDAlfred P. Sloan Foundationhttp://dx.doi.org/10.13039/100000879
Related URLs:
  • Publisher
  • Other Repository

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us