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Showing 2015 · cond-mat.stat-mechShow all
2 papers · 2 filters
cond-mat.stat-mech2015★ 1 cited
Anomalous Fluctuations in Autoregressive Models with Long-Term Memory
Hidetsugu Sakaguchi, Haruo Honjo
An autoregressive model with a power-law type memory kernel is studied as a stochastic process that exhibits a self-affine-fractal-like behavior for a small time scale. We find num…
cond-mat.stat-mech2015★ 11 cited
Extension of the Lieb-Schultz-Mattis theorem
Kiyohide Nomura, Junpei Morishige, Takaichi Isoyama
Lieb, Schultz and Mattis (LSM) studied the S=1/2 XXZ spin chain. Theorems of LSM's paper can be applied to broader models. In the original LSM theorem it was assumed the nonfrustra…