Spectral gap for Glauber dynamics of hierarchical spin models
57 mins 44 secs,
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About this item
| Description: |
Bodineau, T
Friday 26th October 2018 - 09:00 to 10:00 |
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| Created: | 2018-10-29 10:33 |
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| Collection: | Scaling limits, rough paths, quantum field theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Bodineau, T |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | We will present a renormalisation group approach to estimate the decay of the spectral gap of hierarchical models. In particular, we will consider a hierarchical version of the 4-dimensional Φ4 model at the critical point and its approach from the high temperature side, as well as a hierarchical 2-dimensional Sine-Gordon model. For these models, we show that the spectral gap decays polynomially like the spectral gap of the dynamics of a free field. This is a joint work with Roland Bauerschmidt. |
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