Abstract
In this note we consider the Glauber dynamics for the mean-field Ising model, when all couplings are equal and the external field is uniform. It is proved that the relaxation time of the dynamics is monotonically decreasing in temperature.
| Original language | English |
|---|---|
| Pages (from-to) | 1094-1097 |
| Number of pages | 4 |
| Journal | Statistics and Probability Letters |
| Volume | 81 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2011 |
Keywords
- Glauber dynamics
- Ising model
- Mean-field model
- Monotonicity conjecture
- Spectral gap
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