{"id":28066,"date":"2023-12-14T09:19:16","date_gmt":"2023-12-14T09:19:16","guid":{"rendered":"https:\/\/science-hub.click\/FKG%E4%B8%8D%E7%AD%89%E5%BC%8F%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2023-12-14T09:19:16","modified_gmt":"2023-12-14T09:19:16","slug":"FKG%E4%B8%8D%E7%AD%89%E5%BC%8F%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=28066","title":{"rendered":"FKG \u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>Fortuin\u3001Kasteleyn\u3001Ginibre \u306b\u3088\u308b<b>FKG \u4e0d\u7b49\u5f0f\u306f<\/b>\u3001\u5408\u8a08\u306b\u95a2\u3059\u308b\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u4e00\u822c\u5316\u3055\u308c\u305f\u30d0\u30fc\u30b8\u30e7\u30f3\u3067\u3059\u3002\u3053\u308c\u306f\u3001<span>\u30d1\u30fc\u30b3\u30ec\u30fc\u30b7\u30e7\u30f3<\/span>\u7406\u8ad6\u3084\u30a8\u30eb\u30c7\u30b7\u30e5\u3068\u30ec\u30fc\u30cb\u306b\u3088\u308b\u30e9\u30f3\u30c0\u30e0 \u30b0\u30e9\u30d5 \u30e2\u30c7\u30eb\u306e\u7814\u7a76\u306a\u3069\u3067\u4f7f\u7528\u3055\u308c\u308b<i>\u76f8\u95a2\u4e0d\u7b49\u5f0f<\/i>\u3067\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" FKG \u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/AcL2Pz1n9bs\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u58f0\u660e<\/h2><p>Harris \u306b\u3088\u308b\u5f62\u5f0f\u3067\u306f\u3001 <span><a href=\"https:\/\/science-hub.click\/?p=28066\">FKG \u4e0d\u7b49\u5f0f\u306f<\/a><\/span>\u3001\u5404\u8981\u7d20<i>j<\/i>\u304c<span><a href=\"https:\/\/science-hub.click\/?p=57009\">\u78ba\u7387<\/a><\/span><i>1-p<\/i>\u3067\u72b6\u614b 0 \u306b\u3042\u308b\u304b\u3001\u78ba\u7387<i>p<\/i>\u3067\u72b6\u614b 1 \u306b\u3042\u308b<span><a href=\"https:\/\/science-hub.click\/?p=35770\">\u6709\u9650\u307e\u305f\u306f\u53ef\u7b97\u96c6\u5408<\/a><\/span><i>J<\/i>\u306b\u95a2\u4fc2\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b7\u30b9\u30c6\u30e0<i>J<\/i>\u306e\u5168\u4f53\u7684\u306a\u72b6\u614b\u306f\u6b21\u306e\u8981\u7d20\u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\Omega=\\{0,1\\}^J.\\ } $$<\/div> <i>J<\/i>\u306e\u7570\u306a\u308b\u30b5\u30a4\u30c8<i>j<\/i>\u306e\u72b6\u614b<i><b>\u306f\u72ec\u7acb\u3057\u3066\u3044\u308b\u3068<\/b><\/i>\u4eee\u5b9a\u3055\u308c\u308b\u305f\u3081\u3001<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u96c6\u5408\u306f<\/a><\/span><div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\Omega=\\{0,1\\}^J\\ } $$<\/div>\u72b6\u614b\u3001\u307e\u305f\u306f\u69cb\u6210\u306b\u306f\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u6cd5\u5247\u306e\u7a4d\u306e\u5c3a\u5ea6\u3067\u3042\u308b\u78ba\u7387\u6cd5\u5247\u304c\u5099\u308f\u3063\u3066\u3044\u307e\u3059\u3002\u96c6\u5408<i>\u03a9 \u306f<\/i>\u3001\u96c6\u5408\u3068\u6307\u6a19\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=1290\">\u5bfe\u5fdc\u95a2\u4fc2<\/a><\/span>\u306b\u3088\u308a\u3001 <i>J<\/i>\u306e\u90e8\u5206\u306e\u96c6\u5408\u3068\u8b58\u5225\u3067\u304d\u307e\u3059\u3002 FKG \u4e0d\u7b49\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b<span><a href=\"https:\/\/science-hub.click\/?p=16042\">\u8ff0\u3079\u3066\u3044\u307e\u3059<\/a><\/span>\u3002<\/p><div><p> <strong>FKG \u306e\u4e0d\u5e73\u7b49<\/strong><span>\u2014<\/span><\/p><ul><li> 2 \u3064\u306e\u78ba\u7387\u5909\u6570<i>X<\/i>\u3068<i>Y \u304c<\/i>\u5897\u52a0\u3059\u308b\u3068\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\Omega.\\ } $$<\/div>\u305d\u308c\u3067<\/li><\/ul><center><div class=\"math-formual notranslate\">$$ { \\mathbb{E}\\left[XY\\right] \\geq \\mathbb{E}\\left[X\\right] \\mathbb{E}\\left[Y\\right].\\, } $$<\/div><\/center><ul><li>\u306e 2 \u3064\u306e\u5897\u52a0\u90e8\u5206<i>A<\/i>\u3068<i>B \u3092<\/i>\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\Omega.\\ } $$<\/div>\u305d\u308c\u3067<\/li><\/ul><center><div class=\"math-formual notranslate\">$$ { \\mathbb{P}(A\\cap B) \\geq \\mathbb{P}(A) \\mathbb{P}(B).\\, } $$<\/div><\/center><\/div><p>\u6700\u521d\u306e\u4e0d\u7b49\u5f0f\u3092\u6b21\u306e\u5f62\u5f0f\u3067\u518d\u5b9a\u5f0f\u5316\u3067\u304d\u308b\u305f\u3081\u3001\u3053\u308c\u306f\u3001\u95a2\u4fc2\u3059\u308b\u5909\u6570\u9593\u306b\u6b63\u306e\u76f8\u95a2\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ { \\text{Cov}\\left(X,Y\\right)\\ \\ge \\ 0. } $$<\/div><\/center><ul><li> FKG \u4e0d\u7b49\u5f0f\u306e 2 \u756a\u76ee\u306e<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9\u306f\u3001<\/a><\/span> <i>X \u304c<\/i><i>A<\/i>\u306e\u6307\u6a19\u95a2\u6570\u3067\u3042\u308a\u3001 <i>Y \u304c<\/i><i>B<\/i>\u306e\u6307\u6a19\u95a2\u6570\u3067\u3042\u308b\u7279\u5b9a\u306e\u30b1\u30fc\u30b9\u306b\u7279\u5316\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u6700\u521d\u306e\u70b9\u306e\u76f4\u63a5\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u307e\u3059\u3002<\/li><\/ul><ul><li>\u3053\u306e\u4e0d\u7b49\u5f0f\u306f\u3001\u5909\u6570\u307e\u305f\u306f\u90e8\u5206\u304c\u6e1b\u5c11\u3059\u308b\u5834\u5408\u306b\u3082\u5f53\u3066\u306f\u307e\u308a\u307e\u3059\u304c\u3001\u95a2\u9023\u3059\u308b\u5909\u6570\u307e\u305f\u306f\u90e8\u5206\u306e\u5358\u8abf\u6027\u306e\u65b9\u5411\u304c\u53cd\u5bfe\u306e\u5834\u5408\u3001\u4e0d\u7b49\u5f0f\u306e<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u65b9\u5411\u306f<\/a><\/span>\u5909\u308f\u308a\u307e\u3059\u3002<\/li><\/ul><ul><li> FKG \u4e0d\u7b49\u5f0f\u306b\u306f\u3001\u540c\u3058\u7d50\u8ad6\u3092\u6301\u3064\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u5f62\u5f0f\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u7a4d\u7a7a\u9593\u7528\u3067\u3042\u308a\u3001\u5fc5\u305a\u3057\u3082\u7a4d\u306e\u6e2c\u5ea6\u3067\u306f\u306a\u3044\u6e2c\u5ea6\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3059 (FKG \u4e0d\u7b49\u5f0f\u3092\u53c2\u7167)\u3002<\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" FKG \u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/oBgDdUEh2s8\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u79e9\u5e8f\u3068\u6210\u9577<\/span><\/h3><ul><li><i>\u03a9<\/i>\u306b\u95a2\u3059\u308b\u534a\u9806\u5e8f\u95a2\u4fc2\u3092\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ (a,b)\\in\\Omega,\\ a=(a_j)_{j\\in J},\\ b=(b_j)_{j\\in J},\\ } $$<\/div>\u79c1\u305f\u3061\u306f\u30dd\u30fc\u30ba\u3092\u3068\u308b<\/li><\/ul><center><div class=\"math-formual notranslate\">$$ {\\{a\\le b\\}\\quad\\Leftrightarrow\\quad\\{\\forall j\\in J,\\ a_j\\le b_j\\}.\\ } $$<\/div><\/center><dl><dd> <i>\u03a9 \u3092<\/i><i>J<\/i>\u306e\u90e8\u5206\u306e\u96c6\u5408\u3068\u540c\u5b9a\u3059\u308b\u3068\u3001\u4e0a\u8a18\u306e\u9806\u5e8f\u95a2\u4fc2\u306f<i>\u5305\u542b\u95a2\u4fc2<\/i>\u3068\u3057\u3066\u89e3\u91c8\u3055\u308c\u307e\u3059\u3002\u304b\u3089\u4e00\u822c\u5316\u3057\u305f\u3044\u5834\u5408\u3001\u3053\u306e\u985e\u4f3c\u70b9\u306f\u3082\u306f\u3084\u5f53\u3066\u306f\u307e\u308a\u307e\u305b\u3093\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\Omega=\\{0,1\\}^J\\ } $$<\/div>\u3082\u3063\u3066\u3044\u308b<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\Omega=E^J,\\ } $$<\/div> <i>{0,1}<\/i>\u3088\u308a\u3082\u4e00\u822c\u7684\u306a\u72b6\u614b\u7a7a\u9593<i>E<\/i>\u306e\u5834\u5408\u3002<\/dd><\/dl><ul><li>\u3044\u3064\u3082\u306e\u3088\u3046\u306b\u3001\u5b9f\u6570\u5024\u3092\u6301\u3064<i>\u03a9<\/i>\u4e0a\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u30de\u30c3\u30d7<i>X \u306f<\/i>\u3001\u6b21\u306e\u5834\u5408<i><b>\u306b\u5897\u52a0\u3059\u308b\u3068\u3044\u3044<\/b><\/i>\u307e\u3059\u3002 <\/li><\/ul><center><div class=\"math-formual notranslate\">$$ {\\{a\\le b\\}\\quad\\Rightarrow\\quad\\{X(a)\\le X(b)\\}.\\ } $$<\/div><\/center><ul><li> <i>\u03a9<\/i>\u306e<i>A<\/i>\u90e8\u5206\u306f\u3001\u6b21\u306e\u5834\u5408\u306b<i><b>\u5897\u52a0\u3059\u308b<\/b><\/i>\u3068\u3044\u3044\u307e\u3059\u3002 <\/li><\/ul><center><div class=\"math-formual notranslate\">$$ {\\{a\\le b\\ \\text{et}\\ a\\in A\\}\\quad\\Rightarrow\\quad\\{b\\in A\\}.\\ } $$<\/div><\/center><dl><dd>\u540c\u69d8\u306b\u3001 <i>\u03a9<\/i>\u306e\u90e8\u5206<i>A<\/i>\u306f\u3001\u305d\u306e\u6307\u6a19\u95a2\u6570\u304c\u5897\u52a0\u3057\u3066\u3044\u308b\u5834\u5408\u3001<i><b>\u5897\u52a0\u3057\u3066\u3044\u308b<\/b><\/i>\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/dd><\/dl><ul><li>\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u307e\u305f\u306f\u90e8\u54c1\u306e\u6e1b\u8870\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3082\u540c\u69d8\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u304c\u3042\u308a\u307e\u3059\u3002<\/li><\/ul><div><strong>\u4f8b:<\/strong><div><ul><li><i>\u30d1\u30fc\u30b3\u30ec\u30fc\u30b7\u30e7\u30f3<\/i>: <i>J \u306f<\/i><span><a href=\"https:\/\/science-hub.click\/?p=40011\">\u30cd\u30c3\u30c8\u30ef\u30fc\u30af<\/a><\/span><i>\u30a8\u30c3\u30b8<\/i>\u306e\u30bb\u30c3\u30c8\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\mathbb{Z}^d,\\ } $$<\/div>\u30a8\u30c3\u30b8\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3001\u78ba\u7387<i>p<\/i>\u3067<i>\u958b\u304d<\/i>\u3001\u78ba\u7387<i>1-p<\/i>\u3067<i>\u9589\u3058\u307e\u3059<\/i>\u3002<ul><li><span><a href=\"https:\/\/science-hub.click\/?p=96157\">\u7121\u9650<\/a><\/span>\u30af\u30e9\u30b9\u30bf\u30fc\u3092\u6709\u3059\u308b\u69cb\u6210\u306e\u96c6\u5408<i>A<\/i>\u304c\u5897\u52a0\u3057\u3066\u3044\u307e\u3059 (\u7121\u9650\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u5b58\u5728\u7279\u6027\u304c\u5897\u52a0\u3057\u3066\u3044\u308b\u3068\u8a00\u3044\u307e\u3059)\u3002<\/li><li> 2 \u3064\u306e\u6307\u5b9a\u3055\u308c\u305f\u30b5\u30a4\u30c8<i>x<\/i>\u3068<i>y<\/i>\u3067\u306f\u3001\u300c <i>x<\/i>\u306f<i>y<\/i>\u306b\u63a5\u7d9a\u3055\u308c\u3066\u3044\u308b\u300d\u3068\u3044\u3046\u30d7\u30ed\u30d1\u30c6\u30a3\u304c\u5897\u52a0\u3057\u3066\u3044\u307e\u3059\u3002<\/li><li> \u300c <i>x \u306f<\/i>\u7121\u9650\u30af\u30e9\u30b9\u30bf\u30fc\u306b\u5c5e\u3059\u308b\u300d\u3068\u3044\u3046\u6027\u8cea\u304c\u5897\u52a0\u3057\u3066\u3044\u307e\u3059\u3002<\/li><\/ul><\/li><li> <i>Erd\u0151s-R\u00e9nyi \u30e2\u30c7\u30eb<\/i>: <i>J<\/i>\u306f\u30011 \u304b\u3089<i>n<\/i>\u307e\u3067\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u305f<i>n<\/i>\u500b\u306e\u9802\u70b9\u9593\u306e<i>n(n-1)\/2 \u500b\u306e<\/i><i>\u6f5c\u5728\u7684\u306a\u30a8\u30c3\u30b8<\/i>\u306e\u30bb\u30c3\u30c8\u3067\u3042\u308a\u3001\u30a8\u30c3\u30b8\u306f\u78ba\u7387<i>p<\/i>\u3067<i>\u5b58\u5728\u3057<\/i>\u3001\u78ba\u7387<i>1-p<\/i>\u3067<i>\u5b58\u5728\u305b\u305a<\/i>\u3001\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002\u5b58\u5728\u3059\u308b\u30a8\u30c3\u30b8\u306e\u30bb\u30c3\u30c8\u306f\u3001 <i>G(n,p)<\/i>\u3067\u793a\u3055\u308c\u308b<i><b>\u30e9\u30f3\u30c0\u30e0 \u30b0\u30e9\u30d5<\/b><\/i>\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002Erd\u0151s \u3068 R\u00e9nyi \u306f\u3001\u305d\u306e\u7279\u5b9a\u306e\u30d7\u30ed\u30d1\u30c6\u30a3 (\u30a4\u30d9\u30f3\u30c8) \u3068\u7279\u5b9a\u306e\u30d1\u30e9\u30e1\u30fc\u30bf (\u30e9\u30f3\u30c0\u30e0\u5909\u6570) \u3092\u7814\u7a76\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u3046\u3061\u3001<ul><li>\u63a5\u7d9a\u6027\u304c\u5411\u4e0a\u3057\u3066\u3044\u307e\u3059\u3002<\/li><li>\u5e73\u9762\u6027\u304c\u4f4e\u4e0b\u3057\u3066\u3044\u307e\u3059\u3002<\/li><li>\u8272\u5f69<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570\u306f<\/a><\/span>\u5897\u52a0\u3057\u3066\u3044\u307e\u3059\u3002<\/li><li>\u72ec\u7acb\u3057\u305f\u30bb\u30c3\u30c8\u306e\u6700\u5927\u30b5\u30a4\u30ba (\u72ec\u7acb\u6570) \u306e\u30b5\u30a4\u30ba\u306f\u6e1b\u5c11\u3057\u3066\u3044\u307e\u3059\u3002<\/li><li>\u4e09\u89d2\u5f62\u306e\u306a\u3044\u7279\u6027\u306f\u6e1b\u5c11\u3057\u3066\u3044\u307e\u3059\u3002<\/li><\/ul><\/li><\/ul><\/div><\/div><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" FKG \u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/JsYEpe5ApEU\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/FKG_inequality\">FKG inequality \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Nerovnost\">Nerovnost \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Ulighed\">Ulighed \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Ungleichheit\">Ungleichheit \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Inequality\">Inequality \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/eo.wikipedia.org\/wiki\/Neegala%C4%B5o\">Neegala\u0135o \u2013 esp\u00e9ranto<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  FKG \u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u4e00\u6b21\u4e0d\u7b49\u5f0f\u3011\u98df\u5869\u6c34\u3001\u9577\u6905\u5b50\u306e\u6587\u7ae0\u554f\u984c\u3092\u30a4\u30c1\u304b\u3089\u89e3\u8aac\u3059\u308b\u305e\uff01\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/eiyBHRd8u-E?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 Fortuin\u3001Kasteleyn\u3001Ginibre \u306b\u3088\u308bFKG \u4e0d\u7b49\u5f0f\u306f\u3001\u5408\u8a08\u306b\u95a2\u3059\u308b\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u4e00\u822c\u5316\u3055\u308c\u305f\u30d0\u30fc\u30b8\u30e7\u30f3\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u30d1\u30fc\u30b3\u30ec\u30fc\u30b7\u30e7\u30f3\u7406\u8ad6\u3084\u30a8\u30eb\u30c7\u30b7\u30e5\u3068\u30ec\u30fc\u30cb\u306b\u3088\u308b\u30e9\u30f3\u30c0\u30e0 \u30b0\u30e9\u30d5 \u30e2\u30c7 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28067,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/8VuYC4yX-SQ\/0.jpg","fifu_image_alt":" FKG \u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[29377,29375,11,13,14,10,29376,12,8,16,15,9],"class_list":["post-28066","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-fkg","tag-inegalite-fkg","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-inegalite","tag-dossier","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/28066"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28066"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/28066\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/28067"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}