{"id":57719,"date":"2025-03-07T20:52:03","date_gmt":"2025-03-07T12:52:03","guid":{"rendered":"https:\/\/swarma.org\/?p=57719"},"modified":"2025-03-07T20:52:03","modified_gmt":"2025-03-07T12:52:03","slug":"nat-phys-%e9%80%9f%e9%80%92%ef%bc%9a%e6%8b%93%e6%89%91%e5%a6%82%e4%bd%95%e6%94%b9%e5%86%99%e5%a4%8d%e6%9d%82%e7%b3%bb%e7%bb%9f%e5%8a%a8%e5%8a%9b%e5%ad%a6%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=57719","title":{"rendered":"Nat. Phys.\u901f\u9012\uff1a\u62d3\u6251\u5982\u4f55\u6539\u5199\u590d\u6742\u7cfb\u7edf\u52a8\u529b\u5b66\uff1f"},"content":{"rendered":"
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\u8bba\u6587\u9898\u76ee\uff1aTopology shapes dynamics of higher-order networks<\/span><\/section>\n
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\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/www.nature.com\/articles\/s41567-024-02757-w<\/span><\/section>\n
\u671f\u520a\u540d\u79f0\uff1aNature Physics<\/em><\/span><\/section>\n<\/blockquote>\n
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\u4ece\u5927\u8111\u795e\u7ecf\u5143\u5230\u6c14\u5019\u7cfb\u7edf\uff0c\u590d\u6742\u7cfb\u7edf\u7684\u884c\u4e3a\u5f80\u5f80\u6e90\u4e8e\u591a\u4f53\u76f8\u4e92\u4f5c\u7528\uff0c\u800c\u4f20\u7edf\u7f51\u7edc\u79d1\u5b66\u4ec5\u80fd\u63cf\u8ff0\u6210\u5bf9\u8fde\u63a5\u3002\u8fd1\u5e74\u6765\uff0c\u9ad8\u9636\u7f51\u7edc<\/span>\uff08Higher-order networks\uff09<\/span>\u901a\u8fc7\u5f15\u5165\u4e09\u89d2\u5f62\u3001\u56db\u9762\u4f53\u7b49\u7ed3\u6784\uff0c\u63ed\u793a\u4e86\u591a\u4f53\u76f8\u4e92\u4f5c\u7528\u5982\u4f55\u4e0e\u62d3\u6251\u8026\u5408\uff0c\u50ac\u751f\u4e86\u201c\u9ad8\u9636\u62d3\u6251\u52a8\u529b\u5b66\u201d\u8fd9\u4e00\u65b0\u5174\u9886\u57df\u3002\u8fd9\u4e00\u7406\u8bba\u5c06\u62d3\u6251\u4fe1\u53f7<\/span>\uff08\u53d8\u91cf\u4e0d\u4ec5\u5b9a\u4e49\u5728\u8282\u70b9\uff0c\u8fd8\u9644\u7740\u4e8e\u8fb9\u3001\u4e09\u89d2\u5f62\u7b49\u9ad8\u7ef4\u7ed3\u6784\uff09<\/span>\u4e0e\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7ed3\u5408\uff0c\u4e3a\u7406\u89e3\u8111\u529f\u80fd\u3001\u6c14\u5019\u632f\u8361\u751a\u81f3\u8bbe\u8ba1\u65b0\u4e00\u4ee3AI\u7b97\u6cd5\u63d0\u4f9b\u4e86\u5168\u65b0\u89c6\u89d2\u3002<\/span><\/section>\n

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\u62d3\u6251\u4fe1\u53f7<\/strong><\/span>\uff08Topological signals\uff09<\/span>\u7684\u63d0\u51fa\u8fdb\u4e00\u6b65\u6539\u53d8\u4e86\u52a8\u529b\u5b66\u6846\u67b6\uff1a\u7f51\u7edc\u7684\u52a8\u6001\u72b6\u6001\u4e0d\u518d\u5c40\u9650\u4e8e\u8282\u70b9\u53d8\u91cf\uff0c\u8fb9\u4e0a\u7684\u4fe1\u606f\u6d41<\/span>\uff08\u5982\u795e\u7ecf\u5143\u7a81\u89e6\u4fe1\u53f7\uff09<\/span>\u3001\u4e09\u89d2\u5f62\u4e0a\u7684\u534f\u540c\u632f\u8361<\/span>\uff08\u5982\u6c14\u5019\u7cfb\u7edf\u4e2d\u7684\u6d0b\u6d41\u5faa\u73af\uff09<\/span>\u5747\u88ab\u7eb3\u5165\u7edf\u4e00\u6a21\u578b\u2014\u2014\u201c\u62d3\u6251\u65cb\u91cf\u201d<\/span>\uff08Topological Spinor\uff09<\/span>\u3002\u8fd9\u79cd\u9ad8\u7ef4\u89c6\u89d2\u4e3a\u52a8\u529b\u5b66\u8d4b\u4e88\u4e86\u201c\u51e0\u4f55\u76f4\u89c9\u201d\uff0c\u4f8b\u5982\uff0c\u8fb9\u4fe1\u53f7\u7684\u540c\u6b65\u53ef\u80fd\u6cbf\u7740\u7f51\u7edc\u4e2d\u7684\u73af\u72b6\u7ed3\u6784\u4f20\u64ad\u3002<\/span><\/section>\n

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\u56fe 1. \u9ad8\u9636\u7f51\u7edc\u7684\u52a8\u6001\u72b6\u6001\u3002\u8d85\u8d8a\u4ee5\u8282\u70b9\u4e3a\u4e2d\u5fc3\u7684\u7f51\u7edc\u52a8\u529b\u5b66\u89c6\u56fe\uff0c\u901a\u8fc7\u62d3\u6251\u65cb\u91cf\u03a8\u6355\u83b7\u9ad8\u9636\u7f51\u7edc\u7684\u52a8\u6001\uff0c\u4e3a\u6bcf\u4e2a\u8282\u70b9\uff0c\u8fb9\u7f18\uff0c\u4e09\u89d2\u5f62\u548c\u9ad8\u9636\u7b80\u5355\u4f53\u5206\u914d\u52a8\u6001\u53d8\u91cf\u3002<\/span><\/p>\n


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\u66f4\u6709\u8da3\u7684\u662f\uff0c\u5168\u5c40\u62d3\u6251\u540c\u6b65\u7684\u5b58\u5728\u76f4\u63a5\u53d7\u5236\u4e8e\u7f51\u7edc\u7684\u8c03\u548c\u5411\u91cf<\/strong><\/span>\uff08Harmonic Eigenvectors\uff09<\/span>\u3002\u53ea\u6709\u5f53\u7f51\u7edc\u7ed3\u6784\u5141\u8bb8\u5168\u57df\u4e00\u81f4\u7684\u4fe1\u53f7\u4f20\u64ad\u65f6<\/span>\uff08\u5982\u73af\u9762\u7f51\u683c\uff09<\/span>\uff0c\u9ad8\u9636\u540c\u6b65\u624d\u80fd\u53d1\u751f\u3002\u8fd9\u79cd\u201c\u7ed3\u6784\u51b3\u5b9a\u52a8\u529b\u5b66\u8fb9\u754c\u201d\u7684\u7279\u6027\uff0c\u4e3a\u8bbe\u8ba1\u53ef\u63a7\u7684\u632f\u8361\u7f51\u7edc\uff08\u5982\u4eba\u5de5\u795e\u7ecf\u5143\u9635\u5217\uff09\u63d0\u4f9b\u4e86\u7406\u8bba\u4f9d\u636e\u3002<\/span><\/section>\n

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\u56fe 2. \u62d3\u6251Kuramoto\u6a21\u578b\u4e0e\u5168\u5c40\u540c\u6b65\u3002<\/span><\/section>\n

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\u4f20\u7edf\u65b9\u6cd5\u96be\u4ee5\u63cf\u8ff0\u4e0d\u540c\u7ef4\u5ea6\u62d3\u6251\u4fe1\u53f7\u7684\u8026\u5408\uff0c\u800c\u62d3\u6251\u72c4\u62c9\u514b\u7b97\u5b50<\/span>\uff08Dirac Operator\uff09<\/span>\u6210\u4e3a\u7834\u5c40\u5173\u952e\u3002\u5b83\u50cf\u4e00\u4f4d\u6307\u6325\u5bb6\uff0c\u534f\u8c03\u8282\u70b9\u3001\u8fb9\u3001\u4e09\u89d2\u5f62\u4e0a\u7684\u4fe1\u53f7\u534f\u540c\u6f14\u5316\uff0c\u50ac\u751f\u4e86\u201c\u72c4\u62c9\u514b\u540c\u6b65\u201d<\/span>\uff08Dirac Synchronization\uff09<\/span>\u3002\u8fd9\u79cd\u540c\u6b65\u4e0d\u4ec5\u5448\u73b0\u975e\u8fde\u7eed\u76f8\u53d8\uff0c\u8fd8\u4f1a\u81ea\u53d1\u4ea7\u751f\u8282\u5f8b\u6ce2\u52a8\u2014\u2014\u7c7b\u4f3c\u8111\u7535\u6ce2\u7684\u03b1\u8282\u5f8b\u6216\u6c14\u5019\u7cfb\u7edf\u4e2d\u7684\u5b63\u98ce\u632f\u8361\u3002<\/span><\/section>\n

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\u5728\u6a21\u5f0f\u5f62\u6210\u4e2d\uff0c\u72c4\u62c9\u514b\u7b97\u5b50\u63ed\u793a\u4e86\u9759\u6001\u4e0e\u52a8\u6001\u62d3\u6251\u56fe\u7075\u6591\u56fe\u7684\u5dee\u5f02\uff1a\u4ec5\u5f53\u8282\u70b9\u4e0e\u8fb9\u4fe1\u53f7\u901a\u8fc7\u72c4\u62c9\u514b\u8026\u5408\u65f6\uff0c\u624d\u4f1a\u6d8c\u73b0\u52a8\u6001\u6591\u56fe<\/span>\uff08\u5982\u6c14\u5019\u7cfb\u7edf\u4e2d\u7684\u6df7\u6c8c\u632f\u8361\uff09<\/span>\u3002\u8fd9\u79cd\u8de8\u7ef4\u5ea6\u7684\u52a8\u529b\u5b66\u5bf9\u8bdd\uff0c\u4e3a\u7406\u89e3\u751f\u7269\u8282\u5f8b\u548c\u8bbe\u8ba1\u7269\u7406\u542f\u53d1\u7684AI\u7b97\u6cd5\u5f00\u8f9f\u4e86\u65b0\u8def\u5f84\u3002<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n
\u56fe 3. \u62d3\u6251\u72c4\u62c9\u514b\u7b97\u5b50\u548c\u62d3\u6251\u72c4\u62c9\u514b\u65b9\u7a0b\u7684\u6027\u8d28\u3002<\/span><\/section>\n

<\/strong><\/span><\/section>\n


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\u52a8\u6001\u62d3\u6251\uff1a\u6e17\u6d41\u4e2d\u7684\u6df7\u6c8c\u4e0e\u79e9\u5e8f<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n
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\u73b0\u5b9e\u7f51\u7edc\u7684\u62d3\u6251\u5e76\u975e\u9759\u6b62\u3002\u7814\u7a76\u8005\u63d0\u51fa\u4e09\u5143\u6e17\u6d41\uff08Triadic Percolation\uff09\u6a21\u578b<\/strong>\uff0c\u63a2\u7d22\u201c\u8282\u70b9\u5982\u4f55\u8c03\u63a7\u8fde\u8fb9\u201d\u7684\u53cd\u54fa\u673a\u5236\u3002\u4f8b\u5982\uff0c\u793e\u4ea4\u7f51\u7edc\u4e2d\u67d0\u4eba\u53ef\u589e\u5f3a\u6216\u6291\u5236\u4ed6\u4eba\u7684\u8054\u7cfb\uff0c\u5bfc\u81f4\u5de8\u8fde\u901a\u5206\u91cf<\/span>\uff08Giant Component\uff09<\/span>\u968f\u65f6\u95f4\u6df7\u6c8c\u6da8\u843d\u3002\u8fd9\u79cd\u52a8\u6001\u76f8\u53d8\u4e0elogistic\u6620\u5c04\u540c\u5c5e\u4e00\u4e2a\u666e\u9002\u7c7b\uff0c\u751a\u81f3\u53ef\u6a21\u62df\u5927\u8111\u9759\u606f\u6001\u7f51\u7edc\u7684\u201c\u95ea\u70c1\u201d\u8fde\u63a5\u6a21\u5f0f\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5728\u7a7a\u95f4\u7f51\u7edc\u4e2d\uff0c\u4e09\u5143\u6e17\u6d41\u4f1a\u5f15\u53d1\u65f6\u7a7a\u4ea4\u66ff\u7684\u62d3\u6251\u6a21\u5f0f\u2014\u2014\u5982\u540c\u6c14\u5019\u7cfb\u7edf\u4e2d\u5384\u5c14\u5c3c\u8bfa\u4e0e\u62c9\u5c3c\u5a1c\u7684\u5207\u6362\u3002\u8fd9\u79cd\u201c\u62d3\u6251-\u52a8\u529b\u5b66\u5171\u8fdb\u5316\u201d\u7684\u6846\u67b6\uff0c\u4e3a\u9884\u6d4b\u8111\u75be\u75c5\u4e2d\u7684\u7f51\u7edc\u91cd\u6784\u6216\u6781\u7aef\u6c14\u5019\u4e8b\u4ef6\u63d0\u4f9b\u4e86\u65b0\u5de5\u5177\u3002<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n
\u56fe 4. \u5e26\u7b26\u53f7\u7684\u4e09\u5143\u76f8\u4e92\u4f5c\u7528\u548c\u4e09\u5143\u6e17\u900f\u7684\u76f8\u56fe\u3002<\/span><\/section>\n


<\/strong><\/span><\/h3>\n

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<\/section>\n

<\/p>\n

\u5f6d\u6668<\/span> <\/span>| \u7f16\u8bd1<\/span><\/strong><\/span><\/strong><\/p>\n

<\/p>\n

<\/section>\n
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\u9ad8\u9636\u7f51\u7edc\u793e\u533a<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u7531\u7535\u5b50\u79d1\u6280\u5927\u5b66\u5415\u7433\u5a9b\u8001\u5e08\u3001\u4efb\u6653\u9f99\u8001\u5e08\u53ca\u4e2d\u56fd\u5730\u8d28\u5927\u5b66\uff08\u5317\u4eac\uff09\u7ba1\u9752\u8001\u5e08\u5728\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u53d1\u8d77\u4e86\u3010\u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a<\/a><\/span>\u3011\u3002\u8bfb\u4e66\u4f1a\u56f4\u7ed5\u9ad8\u9636\u4ea4\u4e92\u7f51\u7edc\u7684\u57fa\u672c\u6982\u5ff5\u3001\u6a21\u578b\u3001\u65b9\u6cd5\u4e0e\u5e94\u7528\u7b49\u7814\u7a76\u8fdb\u884c\u7814\u8ba8\uff0c\u6309\u7167\u300c\u57fa\u7840\u7406\u8bba\u300d+\u300c\u6df1\u5165\u7406\u8bba\u300d+\u300c\u6848\u4f8b\u7814\u8ba8\u300d\u7684\u6a21\u5f0f\u5c55\u5f00\u3002\u8bfb\u4e66\u4f1a\u7b2c\u4e00\u5b63\u5df2\u7ecf\u5706\u6ee1\u7ed3\u675f\uff0c\u7b2c\u4e8c\u5b63\u6b63\u5728\u7b79\u5907\u4e2d\u3002\u73b0\u5728\u62a5\u540d\u52a0\u5165\u53ef\u4ee5\u89e3\u9501\u7b2c\u4e00\u5b63\u5168\u90e8\u5f55\u64ad\u89c6\u9891\u5e76\u52a0\u5165\u793e\u7fa4\u4ea4\u6d41\u3002<\/span><\/section>\n

<\/p>\n

\"\u56fe\u7247\"<\/span><\/a><\/section>\n
\n

<\/p>\n

\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/p>\n

\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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<\/p>\n<\/section>\n

\n
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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/section>\n
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1. <\/strong>\u62d3\u6251\u6df1\u5ea6\u5b66\u4e60\u6355\u6349\u6570\u636e\u7684\u9ad8\u9636\u5173\u7cfb\uff1a\u4fe1\u606f\u4f20\u9012\u62d3\u6251\u795e\u7ecf\u7f51\u7edc\u6982\u8ff0<\/a><\/strong><\/span><\/strong><\/section>\n
2. <\/strong>PRL\u901f\u9012\uff1a\u9ad8\u9636\u65f6\u5e8f\u7f51\u7edc\u7684\u6e17\u6d41\u4e0e\u62d3\u6251<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong>\u739b\u4e3d\u5973\u738b\u5927\u5b66 Ginestra Bianconi\uff1a\u9ad8\u9636\u7f51\u7edc\u7684\u62d3\u6251\u7ed3\u6784\u4e0e\u52a8\u529b\u5b66<\/a><\/strong><\/span><\/strong><\/section>\n
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4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/strong>5. <\/strong>\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/section>\n

6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n

<\/p>\n


<\/span><\/p>\n

\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u6458\u8981 \u9ad8\u9636\u7f51\u7edc\u6355\u6349\u4e86\u590d\u6742\u7cfb\u7edf\u4e2d\u5b58\u5728\u7684\u591a\u4f53\u76f8\u4e92\u4f5c\u7528\uff0c\u63ed\u793a\u4e86\u62d3\u6251\u7ed3\u6784\u4e0e\u52a8\u6001\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u9ad8\u9636\u62d3\u6251\u52a8\u529b\u5b66\u7406\u8bba\u5c06\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u4e0e\u79bb\u6563\u62d3\u6251\u548c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7ed3\u5408\u8d77\u6765\uff0c\u6709\u671b\u52a0\u6df1\u6211\u4eec\u5bf9\u590d\u6742\u7cfb\u7edf\uff08\u5982\u5927\u8111\u548c\u6c14\u5019\uff09\u7684\u7406\u89e3\uff0c\u5e76\u63a8\u52a8\u4e0b\u4e00\u4ee3\u4eba\u5de5\u667a\u80fd\u7b97\u6cd5\u7684\u53d1\u5c55\u3002\u8be5\u7406\u8bba\u6846\u67b6\u8d85\u8d8a\u4e86\u4f20\u7edf\u7684\u8282\u70b9\u4e2d\u5fc3\u63cf\u8ff0\uff0c\u901a\u8fc7\u62d3\u6251\u4fe1\u53f7\u6765\u7f16\u7801\u7f51\u7edc\u7684\u52a8\u6001\u2014\u2014\u8fd9…<\/p>\n","protected":false},"author":1,"featured_media":57709,"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\/57719"}],"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"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=57719"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/57719\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/57709"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=57719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=57719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=57719"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=57719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}