{"id":43073,"date":"2023-06-10T16:43:49","date_gmt":"2023-06-10T08:43:49","guid":{"rendered":"https:\/\/swarma.org\/?p=43073"},"modified":"2023-06-10T16:43:49","modified_gmt":"2023-06-10T08:43:49","slug":"bianconi-%e6%96%b0%e4%bd%9c%ef%bc%9a%e8%b6%85%e5%9b%be%e4%b8%8a%e7%9a%84%e6%b8%97%e6%b5%81%e7%90%86%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=43073","title":{"rendered":"Bianconi \u65b0\u4f5c\uff1a\u8d85\u56fe\u4e0a\u7684\u6e17\u6d41\u7406\u8bba"},"content":{"rendered":"
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\u8bba\u6587\u9898\u76ee\uff1a<\/span>The theory of percolation on hypergraphs<\/span><\/section>\n
\u8bba\u6587\u6765\u6e90\uff1aarxiv<\/span><\/section>\n
\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2305.12297<\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

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\u5728\u6570\u5b66\u4e2d\uff0c\u8d85\u56fe <\/span>\uff08hypergraph\uff09<\/span>\u662f\u4e00\u79cd\u5e7f\u4e49\u4e0a\u7684\u56fe\uff0c\u662f\u6709\u9650\u96c6\u5408\u4e2d\u6700\u4e00\u822c\u7684\u79bb\u6563\u7ed3\u6784\uff0c\u5b83\u7684\u4e00\u6761\u8fb9 <\/span>\uff08edge\uff09<\/span>\u53ef\u4ee5\u8fde\u63a5\u4efb\u610f\u6570\u91cf\u7684\u9876\u70b9<\/span>\uff08 vertex\uff09<\/span>\u3002\u56e0\u4e3a\u5b83\u80fd\u6355\u6349\u591a\u4e2a\u8282\u70b9\u7684\u4ea4\u4e92\uff0c\u6240\u4ee5\u5728\u610f\u89c1\u52a8\u529b\u5b66\u3001\u6d41\u884c\u75c5\u4f20\u64ad\u3001\u540c\u6b65\u548c\u535a\u5f08\u7684\u80cc\u666f\u4e0b\u5f15\u8d77\u4e86\u6781\u5927\u5173\u6ce8\u3002\u5c3d\u7ba1\u4e00\u4e9b\u5de5\u4f5c\u5df2\u7ecf\u89e3\u51b3\u4e86\u8d85\u56fe\u7684\u9c81\u68d2\u6027\u95ee\u9898\uff0c\u4f46\u4ecd\u7136\u7f3a\u4e4f\u8d85\u56fe\u4e0a\u7684\u8d85\u8fb9\u548c\u8282\u70b9\u6e17\u6d41\u7406\u8bba\u3002<\/span><\/section>\n

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\u8d85\u56fe\u7684\u8d85\u8fb9<\/span>\uff08hyperedges\uff09<\/span>\u53ef\u4ee5\u770b\u4f5c\u662f\u7b2c\u4e8c\u7c7b\u8282\u70b9\u2014\u2014\u56e0\u5b50\u8282\u70b9<\/span>\uff08factor nodes\uff09<\/span>\uff0c\u56e0\u6b64\u8d85\u56fe\u7b49\u4ef7\u4e8e\u56e0\u5b50\u56fe<\/span>\uff08factor graphs\uff09<\/span>\uff0c\u56e0\u5b50\u56fe\u662f\u57fa\u4e8e\u539f\u8282\u70b9\u548c\u56e0\u5b50\u8282\u70b9\u7684\u4e8c\u5206\u7f51\u7edc\u3002\u56e0\u4e3a\u5bf9\u4e8c\u5206\u7f51\u7edc\u7684\u7814\u7a76\u5df2\u5f88\u5145\u5206\uff0c\u6240\u4ee5\u7528\u56e0\u5b50\u56fe\u6765\u5904\u7406\u8d85\u56fe\u5f88\u76f4\u63a5\u4e5f\u5f88\u65b9\u4fbf\u3002\u7136\u800c\u5728\u968f\u673a\u74e6\u89e3\u7f51\u7edc\u65f6<\/span>\uff08\u968f\u673a\u53bb\u9664\u8282\u70b9\uff09<\/span>\uff0c\u8fd9\u79cd\u76f4\u63a5\u7b49\u4ef7\u5c31\u51fa\u73b0\u4e86\u95ee\u9898\uff0c\u8fd9\u662f\u56e0\u4e3a\u4ece\u8d85\u56fe\u4e2d\u79fb\u9664\u8282\u70b9\u4e0e\u4ece\u56e0\u5b50\u56fe\u4e2d\u79fb\u9664\u8282\u70b9\u6709\u4e0d\u540c\u7684\u5f71\u54cd\u3002<\/span><\/section>\n

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\u6700\u8fd1 Bianconi \u7b49\u4eba\u53d1\u8868\u4e8earxiv\u4e0a\u7684\u4e00\u7bc7\u6700\u65b0\u8bba\u6587\u4e13\u6ce8\u4e8e\u7814\u7a76\u8d85\u56fe\u5bf9\u968f\u673a\u74e6\u89e3\u7684\u9c81\u68d2\u6027\u3002\u4e3a\u4e86\u8bc1\u660e\u8d85\u56fe\u4e0a\u7684\u6e17\u6d41<\/span>\uff08percolation\uff09<\/span>\u548c\u56e0\u5b50\u56fe\u4e0a\u7684\u6e17\u6d41\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u4ed6\u4eec\u63a2\u8ba8\u4e86\u8d85\u56fe\u4e0a\u7684\u6e17\u6d41\uff0c\u5e76\u5c06\u5176\u4e0e\u56e0\u5b50\u56fe\u4e0a\u7684\u6e17\u6d41\u8fdb\u884c\u6bd4\u8f83\u3002<\/span><\/section>\n

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\u4ed6\u4eec\u7684\u65b9\u6cd5\u5efa\u7acb\u5728\u4fe1\u606f\u4f20\u9012\u7406\u8bba\u7684\u6e17\u6d41\uff0c\u63a8\u5bfc\u4e86\u56e0\u5b50\u56fe\u548c\u8d85\u56fe\u4e0a\u6e17\u6d41\u7684\u6d88\u606f\u4f20\u9012\u65b9\u7a0b\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u968f\u673a\u8d85\u56fe<\/span>\uff08random hypergraph\uff09<\/span>\u548c\u968f\u673a\u591a\u91cd\u8d85\u56fe<\/span>\uff08randommultiplex hypergraph\uff09<\/span>\u3002\u968f\u673a\u8d85\u56fe\u6a21\u578b\u63cf\u8ff0\u4e86\u4e24\u4e2a\u7ed9\u5b9a\u7684\u5206\u5e03\uff1a\u8282\u70b9\u7684\u5ea6\u5206\u5e03<\/span>\uff08degree distribution\uff09<\/span>\u548c\u8d85\u8fb9\u7684\u57fa\u6570\u5206\u5e03<\/span>\uff08cardinality distribution\uff09<\/span>\uff1b\u968f\u673a\u591a\u91cd\u8d85\u56fe\u6a21\u578b\u63cf\u8ff0\u7ed9\u5b9a\u7684\u8054\u5408\u5ea6\u5206\u5e03\u3002\u5bf9\u4e8e\u8fd9\u4e24\u7c7b\u968f\u673a\u7684\u3001\u5c40\u90e8\u6811\u578b\u8d85\u56fe\uff0c\u4ed6\u4eec\u5f97\u5230\u4e86\u6e17\u6d41\u7c07<\/span>\uff08percolation cluster\uff0c\u5de8\u8fde\u901a\u5206\u91cf\uff09<\/span>\u7684\u5b58\u5728\u6807\u51c6\u548c\u76f8\u5bf9\u5927\u5c0f\u3002<\/span><\/section>\n

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\u4ed6\u4eec\u7684\u7ed3\u679c\u8868\u660e\uff1a\u8d85\u56fe\u4e0a\u7684\u8282\u70b9\u6e17\u6d41\u9608\u503c\u5927\u4e8e\u56e0\u5b50\u56fe\u4e0a\u7684\u8282\u70b9\u6e17\u6d41\u9608\u503c\uff1b\u800c\u4e14\u4e0e\u666e\u901a\u56fe\u4e0d\u540c\uff0c\u8d85\u56fe\u7684\u8282\u70b9\u6e17\u6d41\u9608\u503c\u4e0e\u8d85\u8fb9\u6e17\u6d41\u9608\u503c\u4e0d\u4e00\u81f4\uff0c\u8282\u70b9\u6e17\u6d41\u9608\u503c\u5927\u4e8e\u8d85\u8fb9\u6e17\u6d41\u9608\u503c\u3002\u5728\u76f8\u540c\u7684\u8fd1\u4f3c\u4e0b\uff0c\u4ed6\u4eec\u8fd8\u5206\u6790\u9884\u6d4b\u4e86\u76f8\u56fe<\/span>\uff08phase diagram\uff09<\/span>\u548c\u968f\u673a\u8d85\u56fe\u3001\u968f\u673a\u591a\u91cd\u8d85\u56fe\u4e2d\u8d85\u56fe\u6e17\u6d41\u7684\u4e34\u754c\u6027\u8d28\uff0c\u5e76\u7528\u8499\u7279\u5361\u6d1b\u6a21\u62df\u5bf9\u7ed3\u679c\u8fdb\u884c\u4e86\u9a8c\u8bc1\u3002<\/span><\/section>\n

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\u56fe1. \u8d85\u56fe\uff08a\uff09\u4e0e\u5bf9\u5e94\u56e0\u5b50\u56fe\uff08b\uff09\u3002<\/span><\/section>\n

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\u56fe2. \u56e0\u5b50\u56fe\u7684\u8282\u70b9\u6e17\u6d41\uff0c\u4e0e\u8d85\u56fe\u7684\u8282\u70b9\u6e17\u6d41\u4e0e\u8d85\u8fb9\u6e17\u6d41\u3002R\uff1a\u8d85\u56fe\u4e0a\u7ed3\u70b9\u6e17\u6d41\u5de8\u5206\u652f\u7684\u7ed3\u70b9\u6570\uff1bp\uff1a\u968f\u673a\u74e6\u89e3\u6982\u7387\u3002\u83f1\u5f62\u8868\u793a\u6e17\u900f\u8fc7\u7a0b\u7684\u8499\u7279\u5361\u7f57\u6a21\u62df\u7684\u7ed3\u679c\uff0c\u5b9e\u7ebf\u8868\u793a\u7528\u76f8\u5e94\u7684\u6d88\u606f\u4f20\u9012\u7b97\u6cd5\u83b7\u5f97\u7684\u7ed3\u679c\u3002<\/span><\/p>\n


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\u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u9ad8\u9636\u4ea4\u4e92\u7684\u5965\u79d8 | \u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a\u542f\u52a8<\/strong><\/a>
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\u200d<\/span>1. <\/strong>Nat.Commun.\u901f\u9012\uff1a\u5728\u8d85\u56fe\u548c\u5355\u7eaf\u590d\u5f62\u4e2d\uff0c\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u5bf9\u96c6\u4f53\u52a8\u529b\u5b66\u7684\u4e0d\u540c\u5851\u9020<\/a><\/strong><\/span><\/strong><\/section>\n
2.<\/strong> \u8d85\u56fe\u4e2d\u7684\u9ad8\u9636\u6a21\u4f53\u5206\u6790<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong><\/strong>PRL\u901f\u9012\uff1a\u8d85\u56fe\u4e0a\u7fa4\u4f53\u9009\u62e9\u56f0\u5883\u7684\u6f14\u5316\u535a\u5f08\u6a21\u578b<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n
4. \u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n
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5. \u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/span><\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/section>\n
6.<\/strong><\/strong><\/strong> <\/strong><\/strong><\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/span><\/section>\n

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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/strong><\/span><\/strong><\/section>\n

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\u5173\u952e\u8bcd\uff1a\u9ad8\u9636\u7f51\u7edc\uff0c\u6e17\u6d41\u7406\u8bba\uff0c\u56e0\u5b50\u56fe\uff0c\u8d85\u56fe \u8bba\u6587\u9898\u76ee\uff1aThe theory of percolation on hypergraphs \u8bba\u6587\u6765\u6e90\uff1aarxiv \u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2305.12297 \u5728\u6570\u5b66\u4e2d\uff0c\u8d85\u56fe \uff08hypergraph\uff09\u662f\u4e00\u79cd\u5e7f\u4e49\u4e0a\u7684\u56fe\uff0c\u662f\u6709\u9650\u96c6\u5408…<\/p>\n","protected":false},"author":0,"featured_media":43068,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/43073"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=43073"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/43073\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/43068"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=43073"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=43073"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=43073"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=43073"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}