Двумерная модель Изинга и детерминант Каца - Уорда
Article Properties
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LanguageRussian
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DOI (url)
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Publication Date1999/01/01
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Indian UGC (journal)
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Refrences12
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Citations8
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Николай Петрович Долбилин
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Nikolai Petrovich Dolbilin
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Юрий Михайлович Зиновьев
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Yuriy Michailovich Zinoviev
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Александр Сергеевич Мищенко
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Alexandr Sergeevich Mishchenko
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Михаил Анатольевич Штанько
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Mikhail Anatol'evich Shtan'ko
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Михаил Иванович Штогрин
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Mikhail Ivanovich Shtogrin
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Вычисление статистической суммы плоской дипольной решетки | 1964 | |||
| Комбинаторные вопросы двумерной модели Изинга | 1991 | |||
| On regular closed curves in the plane | 1937 | |||
| Статистическая физика | 1976 | |||
Remarks on the Combinatorial Approach to the Ising Problem | Journal of Mathematical Physics |
| 35 | 1963 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Circle Patterns and Critical Ising Models | Communications in Mathematical Physics |
| 5 | 2019 |
| Phase Transition Free Regions in the Ising Model via the Kac–Ward Operator | Communications in Mathematical Physics |
| 8 | 2014 |
| The Signed Loop Approach to the Ising Model: Foundations and Critical Point | Journal of Statistical Physics |
| 12 | 2013 |
| The Critical Ising Model via Kac-Ward Matrices | Communications in Mathematical Physics |
| 9 | 2012 |
| A generalized Kac–Ward formula | Journal of Statistical Mechanics: Theory and Experiment |
| 1 | 2010 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 5 |
| Science: Physics | 5 |
| Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics | 1 |
The category
Science: Mathematics 5
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Модель Изинга и $L$-функция and was published in 2001. The most recent citation comes from a 2019 study titled Circle Patterns and Critical Ising Models. This article reached its peak citation in 2019, with 1 citations. It has been cited in 4 different journals. Among related journals, the Communications in Mathematical Physics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.