Výsledky vyhledávání - "Higuchi, Yasunari"

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Incipient infinite cluster in 2D Ising percolation

Autor: Higuchi, Yasunari, Kinoshita, Kazunari, Takei, Masato, Zhang, Yu

We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at or near critical external fields. The incipient infinite cluster (IIC) measure in the sense of Kesten is constructed. As a consequence, w

Externí odkaz: http://arxiv.org/abs/1307.7222

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Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations

Autor: Higuchi, Yasunari, Takei, Masato, Zhang, Yu

We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at/near critical external fields. We show that all scaling relations, except a single hyperscaling relation, hold under the power law assump

Externí odkaz: http://arxiv.org/abs/1010.1586

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Uniqueness of the critical probability for percolation in the two dimensional Sierpinski carpet lattice

Autor: Higuchi, Yasunari, Wu, Xian-Yuan

Publikováno v: Kobe Journal of Mathematics, Vol.25, No. 1-2, (2008) 1-24

We prove that the critical probability for the Sierpinski carpet lattice in two dimensions is uniquely determined. The transition is sharp. This extends the Kumagai's result to the original Sierpinski carpet lattice.
Comment: 22pages; typos adde

Externí odkaz: http://arxiv.org/abs/math/0610583

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Akademický článek

On the Speed of Convergence for Two-Dimensional First Passage Ising Percolation

Autor: Higuchi, Yasunari, Zhang, Yu

Publikováno v: The Annals of Probability, 2000 Jan 01. 28(1), 353-378.

Externí odkaz: https://www.jstor.org/stable/2652967

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Dissertation/ Thesis

On Limiting Gibbs States of the Two-Dimensional Ising Models

Autor: Noguchi, Yasunari, Higuchi, Yasunari

Kyoto University (京都大学)
0048
甲第1936号
理博第478号
新制||理||261(附属図書館)
5497
UT51-52-N1
学位規則第5条第1項該当

Externí odkaz: http://hdl.handle.net/2433/221559

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Existence of IIC measure for 2D Ising percolation at high temperatures (Applications of Renormalization Group Methods in Mathematical Sciences)

Autor: Higuchi, Yasunari, Kinoshita, Kazunari, Takei, Masato

Publikováno v: 数理解析研究所講究録. 1904:31-34

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::d4b7bdab4bb627e28c363afd38fd0913
http://hdl.handle.net/2433/223097

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Akademický článek

Scaling Relations for Two-Dimensional Ising Percolation.

Autor: Higuchi, Yasunari¹ higuchi@math.kobe-u.ac.jp, Takei, Masato² takei@isc.osakac.ac.jp, Zhang, Yu³ yzhang3@uccs.edu

Publikováno v: Journal of Statistical Physics. Sep2012, Vol. 148 Issue 5, p777-799. 23p.

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Akademický článek

Limit behaviors of random connected graphs driven by a Poisson process.

Autor: Xu, Zhonghao¹, Higuchi, Yasunari², Hu, Chunhua³ hsuchunghao@gmail.com

Publikováno v: Theoretical & Mathematical Physics. Jul2012, Vol. 172 Issue 1, p901-910. 10p. 1 Diagram.

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Scaling relations for percolation in the 2D high temperature Ising Model (Applications of the Renormalization Group Methods in Mathematical Sciences)

Autor: Higuchi, Yasunari, Takei, Masato, Zhang, Yu

Publikováno v: 数理解析研究所講究録. 1805:125-139

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::b42bebf8e6d201509f8c6b89f6124f26
http://hdl.handle.net/2433/194392

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Akademický článek

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