Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Okuyama, Manaka"'
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
The interpolation method is a powerful tool for rigorous analysis of mean-field spin glass models, both with and without dilution. In this study, we show that the interpolation method can be applied to Ising spin glass models in one dimension, such a
Externí odkaz:
http://arxiv.org/abs/2406.14857
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
We studied nonsparsely diluted mean-field models that differ from sparsely diluted mean-field models, such as the Viana--Bray model. We prove that the free energy of nonsparsely diluted mean-field models coincides exactly with that of the correspondi
Externí odkaz:
http://arxiv.org/abs/2406.13245
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
Publikováno v:
J. Phys. Soc. Jpn. 93, 104706 (2024)
The critical inverse temperature of the mean-field approximation establishes a lower bound of the true critical inverse temperature in a broad class of ferromagnetic spin models. This is referred to as the mean-field bound for the critical temperatur
Externí odkaz:
http://arxiv.org/abs/2406.12728
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
We investigate the effect of deterministic analog control errors in the time-dependent Hamiltonian on isolated quantum dynamics. Deterministic analog control errors are formulated as time-dependent operators in the Schrodinger equation. We give an up
Externí odkaz:
http://arxiv.org/abs/2301.13075
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
Publikováno v:
J. Phys. A: Math. Theor. 56, 325003 (2023)
Recently, Mori [Phys. Rev. E 84, 031128 (2011)] has conjectured that the free energy of Ising spin glass models with the Kac potential in the non-additive limit, such as the power-law potential in the non-additive regime, is exactly equal to that of
Externí odkaz:
http://arxiv.org/abs/2301.13051
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
Publikováno v:
J. Phys. Soc. Jpn. 92, 084002 (2023)
The Gibbs-Bogoliubov inequality states that the free energy of a system is always lower than that calculated by a trial function. In this study, we show that a counterpart of the Gibbs-Bogoliubov inequality holds on the Nishimori line for Ising spin-
Externí odkaz:
http://arxiv.org/abs/2208.12311
Publikováno v:
Phil. Trans. R. Soc. A. 381, 20210412 (2022)
We investigate the effect of stochastic control errors in the time-dependent Hamiltonian on isolated quantum dynamics. The control errors are formulated as time-dependent stochastic noise in the Schrodinger equation. For a class of stochastic control
Externí odkaz:
http://arxiv.org/abs/2009.11151
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
Publikováno v:
J. Phys. Soc. Jpn. 92, 114001 (2023)
Geometric Brownian motion (GBM) is a standard model in stochastic differential equations. In this study, we consider a matrix-valued GBM with non-commutative matrices. Introduction of non-commutative matrices into the matrix-valued GBM makes it diffi
Externí odkaz:
http://arxiv.org/abs/2006.00201
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
The Griffiths first and second inequalities have played an important role in the analysis of ferromagnetic models. In spin-glass models, although the counterpart of the Griffiths first inequality has been obtained, the counterpart of the Griffiths se
Externí odkaz:
http://arxiv.org/abs/2005.06757
Autor:
Okuyama, Manaka, Ohzeki, Masayuki
Correlation inequalities have played an essential role in the analysis of ferromagnetic models but have not been established in spin glass models. In this study, we obtain some correlation inequalities for the Ising models with quenched randomness, w
Externí odkaz:
http://arxiv.org/abs/2004.05832