Abstract
We investigate the question of whether chaotic size dependence occurs on hierarchical lattices and demonstrate that it is not present in these systems. Our results show that the metastate for spin glasses on hierarchical lattices is simple.
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Acknowledgments
J.G. and J.M. acknowledge support from the National Science Foundation (Grant No. DMR-1507506). We acknowledge useful discussions with Dan Stein and Mike Moore.
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To Chuck Newman, on his 70th birthday
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Gertler, J., Machta, J. (2019). Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices. In: Sidoravicius, V. (eds) Sojourns in Probability Theory and Statistical Physics - I. Springer Proceedings in Mathematics & Statistics, vol 298. Springer, Singapore. https://doi.org/10.1007/978-981-15-0294-1_7
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DOI: https://doi.org/10.1007/978-981-15-0294-1_7
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