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A very simple proof of the LSI for high temperature spin systems


A very simple proof of the LSI for high temperature spin systems - arXiv

We present a very simple proof that the O(n) model satisfies a uniform logarithmic Sobolev inequality (LSI) if the positive definite coupling matrix has ...

A very simple proof of the LSI for high temperature spin systems

We present a very simple proof that the model satisfies a uniform logarithmic Sobolev inequality (LSI) if the difference between the largest and the smallest ...

A very simple proof of the LSI for high temperature spin systems - arXiv

We present a very simple proof that the O(n) model satisfies a uniform logarithmic Sobolev inequality (LSI) if the positive definite ...

A very simple proof of the LSI for high temperature spin systems

Finally, we also mention that when is a random Gaussian symmetric matrix, the associated model is the so-called Sherrington-Kirkpatrick (SK), which has been ...

Publications

A very simple proof of the LSI for high temperature spin systems R. ... Spin systems with hyperbolic symmetry: a survey R. Bauerschmidt, T. Helmuth ICM ...

Research

A very simple proof of the LSI for high temperature spin systems R. ... Spin systems with hyperbolic symmetry: a survey R. Bauerschmidt, T. Helmuth ICM ...

Roland Bauerschmidt's research works | University of Cambridge ...

A very simple proof of the LSI for high temperature spin systems · Article. December 2017. ·. 54 Reads. ·. 77 Citations. Journal of Functional Analysis. Roland ...

Log‐Sobolev inequality for near critical Ising models

Bauerschmidt and T. Bodineau, A very simple proof of the LSI for high temperature spin systems, J. Funct. Anal. 276 (2019), no.

[PDF] Log‐Sobolev inequality for near critical Ising models

A very simple proof of the LSI for high temperature spin systems · R ... The Ising model is widely regarded as the most studied model of spin-systems in ...

UNIFORM POINCARÉ AND LOGARITHMIC SOBOLEV ...

Our conditions are quite comparable with the results obtained ... A very simple proof of the LSI for high temperature spin systems. J ...

Dynamics of mean field spin glasses on short and long timescales

... very high temperature, one obtains an order 1 ... T. Bodineau. , “. A very simple proof of the LSI for high temperature spin systems. ,”.

Langevin dynamics of lattice Yang-Mills-Higgs and applications

[BB19]. A very simple proof of the LSI for high temperature spin systems. R. Bauerschmidt. ,. T. Bodineau. J.Funct.Anal. 276 (2019) 2582-2588.

On Mixing of Markov Chains: Coupling, Spectral Independence, and ...

2.1 Spin systems We begin with the formal definition of general q-state spin systems. ... A very simple proof of the LSI for high temperature spin systems.

Spectral Gap in Mean-Field $${\mathcal {O}}(n)$$-Model - OUCI

... spin models. arXiv:1809.02075; Bauerschmidt, R., Bodineau, T.: A very simple proof of the LSI for high temperature spin systems. J. Funct. Anal. 276(8), 2582 ...

Dynamics of mean field spin glasses on short and long timescales

... spin models, at very high temperature, one obtains an order 1 logarithmic Sobolev ... Bodineau, “A very simple proof of the LSI for high temperature spin systems, ...

Heath bad method for Ising model - Physics Forums

In that case, your "heat bath method" would just be the same as before; only the probabilities to accept a proposed spin flip would change. I ...

Sampling from the Sherrington-Kirkpatrick Gibbs Measure via ...

[BB19]. Roland Bauerschmidt and Thierry Bodineau, A very simple proof of the LSI for high temperature spin systems, Journal of Functional Analysis 276 (2019), ...

fast mixing in high-temperature Ising models - DSpace@MIT

A very simple proof of the LSI for high temperature spin systems. Journal of Functional Analysis, 276(8):2582–2588, 2019. 13. 13. Page 16. Accepted manuscript.

PROBABILITY - Institute of Mathematical Statistics

A very simple proof of the LSI for high temperature spin systems. J ... spin systems and the Coulomb gas. Comm. Math. Phys. 81 527–602 ...

Modified log-Sobolev inequalities, Beckner inequalities and moment ...

Barthe, Functional inequalities for two-level concentration, Potential Anal. Bauerschmidt, A very simple proof of the LSI for high temperature spin systems, J.