Events at The University of Manchester
  • University home
  • Events
  • Home
  • Exhibitions
  • Conferences
  • Lectures and seminars
  • Performances
  • Events for prospective students
  • Sustainability events
  • Family events
  • All Events

Jian Ding - A New Correlation Inequality for Ising Models with External Fields

Dates:24 November 2021
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
See travel and contact information
Add to your calendar

More information

  • Jian Ding

Other events

  • In category "Seminar"
  • In group "(Maths) Probability and statistics"
  • By Department of Mathematics

Jian Ding (University of Pennsylvania) will speak in the Probability seminar.

We study ferromagnetic Ising models on finite graphs with an inhomogeneous external field, where a subset of vertices is designated as the boundary. We show that the influence of boundary conditions on any given spin is maximized when the external field is identically 0. One corollary is that spin-spin correlations are maximized when the external field vanishes and the boundary condition is free, which proves a conjecture of Shlosman. In particular, the random field Ising model in three dimensions and above exhibits exponential decay of correlations in the entire high temperature regime of the pure Ising model. Another corollary is that the pure Ising model in three dimensions and higher satisfies the conjectured strong spatial mixing property in the entire high temperature regime. Joint work with Jian Song and Rongfeng Sun.

Travel and Contact Information

Find event

https://zoom.us/j/97200455451

Contact event

Sebastian Andres

sebastian.andres@manchester.ac.uk

Contact us

  • +44 (0) 161 306 6000

Find us

The University of Manchester
Oxford Rd
Manchester
M13 9PL
UK

Connect with the University

  • Facebook page for The University of Manchester
  • X (formerly Twitter) page for The University of Manchester
  • YouTube page for The University of Manchester
  • Instagram page for The University of Manchester
  • TikTok page for The University of Manchester
  • LinkedIn page for The University of Manchester

  • Privacy /
  • Copyright notice /
  • Accessibility /
  • Freedom of information /
  • Charitable status /
  • Royal Charter Number: RC000797
  • Close menu
  • Home
    • Featured events
    • Today's events
    • The Whitworth events
    • Manchester Museum events
    • Jodrell Bank Discovery Centre events
    • Martin Harris Centre events
    • The John Rylands Library events
    • Exhibitions
    • Conferences
    • Lectures and seminars
    • Performances
    • Events for prospective students
    • Sustainability events
    • Family events
    • All events