{"id":67065,"date":"2016-03-14T05:33:43","date_gmt":"2016-03-14T00:03:43","guid":{"rendered":"http:\/\/www.vallamai.com\/?p=67065"},"modified":"2016-03-22T01:39:18","modified_gmt":"2016-03-21T20:09:18","slug":"%e0%ae%87%e0%ae%a8%e0%af%8d%e0%ae%a4%e0%ae%b5%e0%ae%be%e0%ae%b0-%e0%ae%b5%e0%ae%b2%e0%af%8d%e0%ae%b2%e0%ae%ae%e0%af%88%e0%ae%af%e0%ae%be%e0%ae%b3%e0%ae%b0%e0%af%8d-2","status":"publish","type":"post","link":"https:\/\/www.vallamai.com\/?p=67065","title":{"rendered":"\u0b87\u0ba8\u0bcd\u0ba4\u0bb5\u0bbe\u0bb0 \u0bb5\u0bb2\u0bcd\u0bb2\u0bae\u0bc8\u0baf\u0bbe\u0bb3\u0bb0\u0bcd!"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p><strong><span style=\"color: #2e10d7\">\u0b9a\u0bc6.\u0b87\u0bb0\u0bbe. \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bbe\u0bb0\u0bcd<\/span><\/strong><\/p>\n<p><a href=\"http:\/\/www.vallamai.com\/wp-content\/uploads\/2016\/03\/Varadhan2.jpg\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-67066\" 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(\u0bb5\u0bbe\u0baf\u0bcd\u0baa\u0bcd\u0baa\u0bbf\u0baf\u0bb2\u0bcd) (probability) \u0b8e\u0ba9\u0bcd\u0ba9\u0bc1\u0bae\u0bcd \u0ba4\u0bc1\u0bb1\u0bc8\u0baf\u0bbf\u0bb2\u0bcd \u0baa\u0bc1\u0b95\u0bc1\u0ba8\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd.\u00a0 \u0b85\u0baa\u0bcd\u0baa\u0bca\u0bb4\u0bc1\u0ba4\u0bbf\u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0b85\u0bb5\u0bb0\u0bc1\u0b9f\u0bc8\u0baf \u0bb5\u0bbf\u0baf\u0baa\u0bcd\u0baa\u0bc2\u0b9f\u0bcd\u0b9f\u0bc1\u0bae\u0bcd \u0bb5\u0bb3\u0bb0\u0bcd\u0b9a\u0bcd\u0b9a\u0bbf \u0ba4\u0bca\u0b9f\u0b99\u0bcd\u0b95\u0bc1\u0b95\u0bbf\u0ba9\u0bcd\u0bb1\u0ba4\u0bc1.<\/p>\n<p style=\"text-align: justify\">\u0b95\u0bca\u0bb2\u0bcd\u0b95\u0ba4\u0bcd\u0ba4\u0bbe\u0bb5\u0bbf\u0ba9\u0bcd \u0b87\u0ba8\u0bcd\u0ba4\u0bbf\u0baf\u0baa\u0bcd \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0baf\u0bbf\u0baf\u0bb2\u0bcd \u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd (\u0b87.\u0baa\u0bc1.\u0b95, ISI) \u0b87\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4 \u0baa\u0bc1\u0b95\u0bb4\u0bcd\u0bae\u0bbf\u0b95\u0bcd\u0b95<strong> <span style=\"color: #2e10d7\">\u0b95\u0bb2\u0baf\u0bae\u0bcd\u0baa\u0bc1\u0b9f\u0bbf \u0b87\u0bb0\u0bbe\u0ba4\u0bbe\u0b95\u0bbf\u0bb0\u0bc1\u0b9f\u0bcd\u0b9f\u0bbf\u0ba3\u0bb0\u0bbe\u0bb5\u0bcd<\/span><\/strong> (<strong><span style=\"color: #2e10d7\">\u0b95. \u0b87\u0bb0\u0bbe. \u0b87\u0bb0\u0bbe\u0bb5\u0bcd C.R. Rao<\/span><\/strong>)\u00a0 \u0b85\u0bb5\u0bb0\u0bcd\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bae\u0bbe\u0ba3\u0bb5\u0bb0\u0bbe\u0b95 \u0bae\u0bbe\u0bb1\u0bbf\u0ba9\u0bbe\u0bb0\u0bcd.\u00a0\u00a0 \u0b89\u0bb2\u0b95\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bb4\u0bcd\u0baa\u0bc6\u0bb1\u0bcd\u0bb1\u00a0 \u0b86\u0ba8\u0bcd\u0ba4\u0bb0\u0bc7 <strong><span style=\"color: #2e10d7\">\u0ba8\u0bbf\u0b95\u0bcd\u0b95\u0bca\u0bb2\u0bbe\u0bb5\u0bbf\u0b9a\u0bcd\u0b9a\u0bc1 \u0b95\u0bcb\u0bb2\u0bcd\u0bae\u0bca\u0b95\u0bc1\u0bb0\u0bcb\u0bb5\u0bcd<\/span><\/strong> (<b>Andrey Nikolaevich Kolmogorov<\/b>\u00a0) \u0b8e\u0ba9\u0bcd\u0ba9\u0bc1\u0bae\u0bcd \u0b89\u0bb0\u0bc1\u0b9a\u0bbf\u0baf \u0b86\u0baf\u0bcd\u0bb5\u0bbe\u0bb3\u0bb0\u0bcd \u00a01962 \u0b86\u0bae\u0bcd \u0b86\u0ba3\u0bcd\u0b9f\u0bc1 \u0b92\u0bb0\u0bc1 \u0bae\u0bbe\u0ba4\u0bae\u0bcd \u00a0\u0b87\u0ba8\u0bcd\u0ba4\u0bbf\u0baf\u0baa\u0bcd \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0baf\u0bbf\u0baf\u0bb2\u0bcd \u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bc1\u0b95\u0bcd\u0b95\u0bc1 \u0bb5\u0bb0\u0bc1\u0b95\u0bc8 \u0ba4\u0ba8\u0bcd\u0ba4\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd.\u00a0 \u0b9a\u0bc0\u0ba9\u0bbf\u0bb5\u0bbe\u0b9a \u0bb5\u0bb0\u0ba4\u0ba9\u0bcd \u0b85\u0bb5\u0bb0\u0bcd\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bae\u0bc1\u0ba9\u0bc8\u0bb5\u0bb0\u0bcd\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0bb0\u0bc8\u0baf\u0bc8\u00a0 1962 \u0b87\u0bb2\u0bc7\u0baf\u0bc7 \u0b85\u0bb5\u0bb0\u0bbf\u0b9f\u0bae\u0bcd \u0b95\u0bca\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1 \u00a0\u0b85\u0bb5\u0bb0\u0bc8\u0ba4\u0bcd \u0ba4\u0bc7\u0bb0\u0bcd\u0bb5\u0bbe\u0bb3\u0bb0\u0bbe\u0b95 \u0b87\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0b9a\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd\u0b95\u0bb3\u0bcd. \u0b85\u0bb5\u0bb0\u0bcd \u0b9a\u0bc0\u0ba9\u0bbf\u0bb5\u0bbe\u0b9a \u0bb5\u0bb0\u0ba4\u0ba9\u0bcd \u0b85\u0bb5\u0bb0\u0bcd\u0b95\u0bb3\u0bc1\u0b9f\u0bc8\u0baf \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0bb0\u0bc8\u0baf\u0bc8 \u0b89\u0bb0\u0bc1\u0b9a\u0bbf\u0baf\u0bbe\u0bb5\u0bc1\u0b95\u0bcd\u0b95\u0bc1 \u0b8e\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0baa\u0bcd\u0baa\u0bcb\u0baf\u0bcd\u00a0 \u0b85\u0b99\u0bcd\u0b95\u0bc7 \u0bae\u0bbe\u0b9a\u0bc1\u0b95\u0bcd\u0b95\u0bcb\u0bb5\u0bbf\u0bb2\u0bcd \u0b87\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0b95\u0bc0\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0bbe\u0ba3\u0bc1\u0bae\u0bbe\u0bb1\u0bc1 \u00a0\u0bb5\u0bbf\u0baf\u0ba8\u0bcd\u0ba4\u0bc1 \u0bae\u0b9f\u0bb2\u0bbf\u0bb2\u0bcd \u0b8e\u0bb4\u0bc1\u0ba4\u0bbf\u0ba9\u0bbe\u0bb0\u0bcd \u00a0[2]<\/p>\n<p style=\"text-align: justify\">\u2018\u2019<em> This is not the work of a student, but of a mature master.<\/em><em>\u2019\u2019<br \/>\n<\/em>(\u0b87\u0ba4\u0bc1 \u0b92\u0bb0\u0bc1 \u0bae\u0bbe\u0ba3\u0bb5\u0bb0\u0bbf\u0ba9\u0bcd \u0b86\u0baf\u0bcd\u0bb5\u0ba9\u0bcd\u0bb1\u0bc1, \u0bae\u0bc1\u0ba4\u0bbf\u0bb0\u0bcd\u0b9a\u0bcd\u0b9a\u0bbf\u0baf\u0b9f\u0bc8\u0ba8\u0bcd\u0ba4 \u0b95\u0bb2\u0bc8\u0ba8\u0bbf\u0bb1\u0bc8\u0b9e\u0ba9\u0bc1\u0b9f\u0bc8\u0baf\u0ba4\u0bc1)<\/p>\n<p style=\"text-align: justify\">\u0ba4\u0ba9\u0bcd\u0ba9\u0bc1\u0b9f\u0bc8\u0baf 23 \u0b86\u0bb5\u0ba4\u0bc1 \u0bb5\u0baf\u0ba4\u0bbf\u0bb2\u0bcd \u00a0\u0ba4\u0bbf\u0bb0\u0bc1 \u0b9a\u0bc0\u0ba9\u0bbf\u0bb5\u0bbe\u0b9a \u0bb5\u0bb0\u0ba4\u0ba9\u0bcd \u0b8e\u0bb4\u0bc1\u0ba4\u0bbf \u0b95\u0bcb\u0bb2\u0bcd\u0bae\u0bca\u0b95\u0bc1\u0bb0\u0bcb\u0bb5\u0bcd \u0baa\u0bbe\u0bb0\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0baf \u0bae\u0bc1\u0ba9\u0bc8\u0bb5\u0bb0\u0bcd\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0bb0\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0ba4\u0bb2\u0bc8\u0baa\u0bcd\u0baa\u0bc1<\/p>\n<p style=\"text-align: justify\"><em>Convolution Properties of Distributions on Topological Groups<br \/>\n<\/em>(\u0b87\u0b9f\u0bb5\u0bbf\u0baf\u0bb2\u0bcd \u0b95\u0bc1\u0bb4\u0bc1\u0b95\u0bcd\u0b95\u0bb3\u0bbf\u0bb2\u0bcd \u0baa\u0b95\u0bbf\u0bb0\u0bae\u0bc8\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0baa\u0bc1\u0ba3\u0bb0\u0bcd\u0ba4\u0bcd\u0ba4\u0bca\u0b95\u0bc8)<\/p>\n<p style=\"text-align: justify\">\u0ba4\u0ba9\u0bcd 23-\u0b86\u0bb5\u0ba4\u0bc1 \u0b85\u0b95\u0bb5\u0bc8\u0baf\u0bbf\u0bb2\u0bc7\u0baf\u0bc7 \u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95\u0bbe\u0bb5\u0bbf\u0bb2\u0bcd \u0ba8\u0bbf\u0baf\u0bc2\u0baf\u0bbe\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0bb2\u0bcd\u0b95\u0bb2\u0bc8\u0b95\u0bcd\u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0ba9\u0bcd \u00a0\u0baa\u0bc1\u0b95\u0bb4\u0bbe\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4 <strong>\u0b95\u0bc2\u0bb0\u0bbe\u0ba8\u0bcd\u0ba4\u0bc1 \u0b95\u0ba3\u0bbf\u0ba4\u0bb5\u0bbf\u0baf \u0b85\u0bb1\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd \u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd (Courant\u00a0Institute of Mathematical Sciences)<\/strong> \u00a0\u0bae\u0bc1\u0ba4\u0bc1\u0bae\u0bc1\u0ba9\u0bc8\u0bb5\u0bb0\u0bbe\u0b95\u0b9a\u0bcd \u0b9a\u0bc7\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd.\u00a0 24 \u0b86\u0bb5\u0ba4\u0bc1 \u0bb5\u0baf\u0ba4\u0bbf\u0bb2\u0bcd\u00a0 \u0ba4\u0ba9\u0bcd\u0ba9\u0bc8\u0bb5\u0bbf\u0b9f 7 \u0bb5\u0baf\u0ba4\u0bc1 \u0b87\u0bb3\u0bc8\u0baf <strong>\u0bb5\u0b9a\u0bc1\u0ba8\u0bcd\u0ba4\u0bb0\u0bbe<\/strong> \u0b8e\u0ba9\u0bcd\u0baa\u0bbe\u0bb0\u0bc8 \u0bae\u0ba3\u0ba8\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd.\u00a0\u00a0 \u0ba4\u0ba9\u0bcd 32-\u0b86\u0bb5\u0ba4\u0bc1 \u0b85\u0b95\u0bb5\u0bc8\u0baf\u0bbf\u0bb2\u0bc7\u0baf\u0bc7 \u0ba8\u0bbf\u0baf\u0bc2\u0baf\u0bbe\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0bb2\u0bcd\u0b95\u0bb2\u0bc8\u0b95\u0bcd\u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd \u0bae\u0bc1\u0bb4\u0bc1\u0ba8\u0bbf\u0bb2\u0bc8\u0baa\u0bcd \u0baa\u0bc7\u0bb0\u0bbe\u0b9a\u0bbf\u0bb0\u0bbf\u0baf\u0bb0\u0bbe\u0b95 \u0b89\u0baf\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd.\u00a0 \u0b87\u0ba4\u0bc1 \u0b85\u0bb0\u0bbf\u0baf\u0ba4\u0bcb\u0bb0\u0bcd \u0b89\u0baf\u0bb0\u0bcd\u0b9a\u0bcd\u0b9a\u0bbf. \u0b87\u0bb5\u0bb0\u0bc1\u0b9f\u0bc8\u0baf \u0b95\u0ba3\u0bbf\u0ba4\u0bb5\u0bbf\u0baf\u0bb2\u0bcd \u0b95\u0ba3\u0bcd\u0b9f\u0bc1\u0baa\u0bbf\u0b9f\u0bbf\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bb3\u0bc8\u0baa\u0bcd \u0baa\u0bca\u0ba4\u0bc1\u0bae\u0b95\u0bcd\u0b95\u0bb3\u0bcd \u0baa\u0bc1\u0bb0\u0bbf\u0ba8\u0bcd\u0ba4\u0bc1\u0b95\u0bca\u0bb3\u0bcd\u0bb5\u0ba4\u0bc1 \u0b95\u0b9f\u0bbf\u0ba9\u0bae\u0bcd, \u0b86\u0ba9\u0bbe\u0bb2\u0bcd \u0b85\u0bb5\u0bc8 \u0bae\u0bbf\u0b95\u0bb5\u0bc1\u0bae\u0bcd \u0b85\u0b9f\u0bbf\u0baa\u0bcd\u0baa\u0b9f\u0bc8\u0baf\u0bbe\u0ba9\u0bb5\u0bc8 \u0b85\u0bb1\u0bbf\u0bb5\u0bbe\u0ba9\u0bb5\u0bc8 \u0b8e\u0ba9 \u0b89\u0ba3\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4 \u0b85\u0bb1\u0bbf\u0bb5\u0bc1\u0bb2\u0b95\u0bae\u0bcd \u0b85\u0bb5\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0bb2 \u0baa\u0bb0\u0bbf\u0b9a\u0bc1\u0b95\u0bb3\u0bc8\u0ba4\u0bcd \u0ba4\u0ba8\u0bcd\u0ba4\u0bc1 \u0baa\u0bc6\u0bb0\u0bc1\u0bae\u0bc8\u0baa\u0bcd\u0baa\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bbf\u0baf\u0bc1\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1.\u00a0 \u00a0\u0b9a\u0bbf\u0bb2\u0bb5\u0bb1\u0bcd\u0bb1\u0bc8 \u0bae\u0b9f\u0bcd\u0b9f\u0bc1\u0bae\u0bc7 \u0b87\u0b99\u0bcd\u0b95\u0bc1 \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bbf\u0b9f\u0bae\u0bc1\u0b9f\u0bbf\u0baf\u0bc1\u0bae\u0bcd.<\/p>\n<p style=\"text-align: justify\">\u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95 \u0b95\u0ba3\u0bbf\u0ba4\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bc1\u0b95\u0bae\u0bbe\u0ba9 \u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95 \u0bae\u0bc7\u0ba4\u0bcd\u0ba4\u0bae\u0bc7\u0b9f\u0bcd\u0b9f\u0bbf\u0b95\u0bcd\u0b95\u0bb2\u0bcd \u0b9a\u0bca\u0b9a\u0bc8\u0baf\u0bbf\u0b9f\u0bcd\u0b9f\u0bbf\u0baf\u0bc1\u0bae\u0bcd ( American Mathematical Soceity) \u0b87\u0bb2\u0ba3\u0bcd\u0b9f\u0ba9\u0bbf\u0ba9\u0bcd \u0bb5\u0bc7\u0ba8\u0bcd\u0ba4\u0bbf\u0baf\u0b95\u0bcd \u0b95\u0bc1\u0bae\u0bc1\u0b95\u0bae\u0bc1\u0bae\u0bcd (Royal Society of London) \u0b9a\u0bc7\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4\u0bc1 \u0bb5\u0bb4\u0b99\u0bcd\u0b95\u0bc1\u0bae\u0bcd \u0b9a\u0bbf\u0baf\u0bbe\u0bb0\u0bcd\u0b9a\u0bcd\u0b9a\u0bc1 \u0ba4\u0bbe\u0bb5\u0bc0\u0b9f\u0bc1 \u0baa\u0bbf\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bbe\u0b83\u0baa\u0bc1 \u0baa\u0bb0\u0bbf\u0b9a\u0bc8 ( George David Birkhoff Prize) 1994 \u0b87\u0bb2\u0bcd \u0bb5\u0bc6\u0ba9\u0bcd\u0bb1\u0bbe\u0bb0\u0bcd.<\/p>\n<p style=\"text-align: justify\">\u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95 \u0bae\u0bc7\u0ba4\u0bcd\u0ba4\u0bae\u0bc7\u0b9f\u0bcd\u0b9f\u0bbf\u0b95\u0bcd\u0b95\u0bb2\u0bcd \u0b9a\u0bca\u0b9a\u0bc8\u0baf\u0bbf\u0b9f\u0bcd\u0b9f\u0bbf \u0ba4\u0bb0\u0bc1\u0bae\u0bcd\u00a0 \u0b87\u0bb2\u0bbf\u0bb0\u0bbe\u0baf\u0bcd \u0baa\u0bbf. \u0b87\u0b9a\u0bc1\u0b9f\u0bcd\u0b9f\u0bc0\u0bb2\u0bcd \u0baa\u0bb0\u0bbf\u0b9a\u0bc8 ( American Mathematical Soceity\u2019s\u00a0 Leroy P Steele Prize) 1996 \u0b87\u0bb2\u0bcd \u0bb5\u0bc6\u0ba9\u0bcd\u0bb1\u0bbe\u0bb0\u0bcd.<\/p>\n<p style=\"text-align: justify\">\u0b9a\u0bc0\u0ba9\u0bbf\u0bb5\u0bbe\u0b9a \u0bb5\u0bb0\u0ba4\u0ba9\u0bcd \u0b85\u0bb5\u0bb0\u0bcd\u0b95\u0bb3\u0bcd \u0b86\u0baf\u0bcd\u0bb5\u0bc1 \u0b9a\u0bc6\u0baf\u0bcd\u0ba4 \u0b87\u0ba9\u0bcd\u0ba9\u0bca\u0bb0\u0bc1 \u0b95\u0ba3\u0bbf\u0ba4\u0b95\u0bcd \u0b95\u0bb3\u0bae\u0bbe\u0ba9 <strong><span style=\"color: #2e10d7\">\u0baa\u0bc6\u0bb0\u0bbf\u0baf \u0bb5\u0bbf\u0bb2\u0b95\u0bc1\u0bae\u0bc8\u0b95\u0bb3\u0bcd (large deviations)<\/span><\/strong> \u0b8e\u0ba9\u0bcd\u0baa\u0ba4\u0bbf\u0bb2\u0bcd \u0b87\u0bb5\u0bb0\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0ba4 \u0b86\u0bb4\u0bcd\u0ba8\u0bcd\u0ba4 \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0b95\u0bb3\u0bc1\u0b95\u0bcd\u0b95\u0bbe\u0b95 2007 \u00a0\u0b86\u0bae\u0bcd \u0b86\u0ba3\u0bcd\u0b9f\u0bbf\u0bb2\u0bcd <strong><span style=\"color: #2e10d7\">\u0b8f\u0baa\u0bb2\u0bcd \u0baa\u0bb0\u0bbf\u0b9a\u0bc1<\/span><\/strong> \u0bb5\u0bb4\u0b99\u0bcd\u0b95\u0bbf\u0ba9\u0bbe\u0bb0\u0bcd\u0b95\u0bb3\u0bcd.\u00a0 \u0b8f\u0baa\u0bb2\u0bcd \u0baa\u0bb0\u0bbf\u0b9a\u0bc1\u0b95\u0bcd\u0b95\u0bc1\u0bb4\u0bc1 \u0b8e\u0bb4\u0bc1\u0ba4\u0bbf\u0baf \u0baa\u0bb0\u0bbf\u0b9a\u0bc1\u0bb0\u0bc8\u0baf\u0bbf\u0bb2\u0bcd\u00a0 \u0b85\u0bb5\u0bb0\u0bc1\u0b9f\u0bc8\u0baf 1966 \u0b86\u0bae\u0bcd \u0b86\u0ba3\u0bcd\u0b9f\u0bc1 \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0b95\u0bcd\u0b95\u0b9f\u0bcd\u0b9f\u0bc1\u0bb0\u0bc8\u0baf\u0bc8\u0b95\u0bcd \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bbf\u0b9f\u0bcd\u0b9f\u0bc1\u0b95\u0bcd \u0b95\u0bc0\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0bbe\u0ba3\u0bc1\u0bae\u0bbe\u0bb1\u0bc1 \u0b8e\u0bb4\u0bc1\u0ba4\u0bbf\u0ba9\u0bbe\u0bb0\u0bcd\u0b95\u0bb3\u0bcd [3]<\/p>\n<p style=\"text-align: justify\"><em>In his landmark paper &#8216;Asymptotic probabilities and differential equations&#8217; in\u00a0<\/em>1966<em>\u00a0<\/em><em>and his surprising solution of the polaron problem of Euclidean quantum field theory in\u00a0<\/em>1969<em>, Varadhan began to shape a general theory of large deviations that was much more than a quantitative improvement of convergence rates. It addresses a fundamental question: what is the qualitative behaviour of a stochastic system if it deviates from the ergodic behaviour predicted by some law of large numbers or if it arises as a small perturbation of a deterministic system? The key to the answer is a powerful variational principle that describes the unexpected behaviour in terms of a new probabilistic model minimizing a suitable entropy distance to the initial probability measure. In a series of joint papers with Monroe D Donsker exploring the hierarchy of large deviations in the context of Markov processes, Varadhan demonstrated the relevance and the power of this new approach. A striking application is their solution of a conjecture of\u00a0Mark Kac\u00a0concerning large time asymptotics of a tubular neighbourhood of the Brownian motion path, the so-called &#8216;Wiener sausage&#8217;. Varadhan&#8217;s theory of large deviations provides a unifying and efficient method for clarifying a rich variety of phenomena arising in complex stochastic systems, in fields as diverse as quantum field theory, statistical physics, population dynamics, econometrics and finance, and traffic engineering. It has also greatly expanded our ability to use computers to simulate and analyze the occurrence of rare events. Over the last four decades, the theory of large deviations has become a cornerstone of modern probability, both pure and applied.\u2019\u2019<\/em><\/p>\n<p style=\"text-align: justify\">\u0b87\u0bb5\u0bcd\u0bb5\u0bb3\u0bb5\u0bc1 \u0baa\u0bc1\u0b95\u0bb4\u0bcd\u0bae\u0bbf\u0b95\u0bcd\u0b95 \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0b95\u0bb3\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0ba4\u0bc1\u0bb5\u0bb0\u0bc1\u0bae\u0bcd\u0baa\u0bca\u0bb4\u0bc1\u0ba4\u0bc7\u00a0 \u0b87\u0bb5\u0bb0\u0bcd \u0b87\u0bb0\u0bc1\u0bae\u0bc1\u0bb1\u0bc8 \u0b95\u0bc2\u0bb0\u0bbe\u0ba8\u0bcd\u0ba4\u0bc1 \u0b95\u0ba3\u0bbf\u0ba4\u0bb5\u0bbf\u0baf \u0b85\u0bb1\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd \u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0ba9\u0bcd \u0b87\u0baf\u0b95\u0bcd\u0b95\u0bc1\u0ba8\u0bb0\u0bbe\u0b95\u0bb5\u0bc1\u0bae\u0bcd \u0baa\u0ba3\u0bbf\u0baa\u0bc1\u0bb0\u0bbf\u0ba8\u0bcd\u0ba4\u0bbf\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0bbf\u0ba9\u0bcd\u0bb1\u0bbe\u0bb0\u0bcd (1980-84 , 1992-94).<\/p>\n<p style=\"text-align: justify\">\u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95\u0bbe\u0bb5\u0bbf\u0bb2\u0bc7\u0baf\u0bc7 \u0b86\u0b95\u0baa\u0bcd\u0baa\u0bc6\u0bb0\u0bbf\u0baf \u0baa\u0bc6\u0bb0\u0bc1\u0bae\u0bc8\u0baf\u0bbe\u0b95\u0bbf\u0baf <strong><span style=\"color: #2e10d7\">\u0ba4\u0bc7\u0b9a\u0bbf\u0baf \u0b85\u0bb1\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd \u0baa\u0ba4\u0b95\u0bcd\u0b95\u0ba4\u0bcd\u0ba4\u0bc8<\/span><\/strong> (\u00a0<strong><span style=\"color: #2e10d7\">National Medal of Science) <\/span><\/strong>\u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95\u0b95\u0bcd \u0b95\u0bc1\u0b9f\u0bbf\u0baf\u0bb0\u0b9a\u0bc1\u0ba4\u0bcd\u0ba4\u0bb2\u0bc8\u0bb5\u0bb0\u0bcd <strong>\u0baa\u0bb0\u0bbe\u0b95\u0bcd\u0b95\u0bc1 \u0b92\u0baa\u0bbe\u0bae\u0bbe<\/strong> 2010 \u0b87\u0bb2\u0bcd \u0bb5\u0bb4\u0b99\u0bcd\u0b95\u0bbf\u0ba9\u0bbe\u0bb0\u0bcd.<\/p>\n<p style=\"text-align: justify\">\u0b95\u0ba3\u0bbf\u0ba4\u0ba4\u0bcd\u0ba4\u0bc8\u0ba4\u0bcd \u0ba4\u0bb5\u0bbf\u0bb0 \u0b87\u0bb5\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0bc1 \u0bb5\u0bc7\u0bb1\u0bc1 \u0b8e\u0ba4\u0bbf\u0bb2\u0bcd \u0b86\u0bb0\u0bcd\u0bb5\u0bae\u0bcd \u0b8e\u0ba9\u0bcd\u0bb1\u0bbe\u0bb2\u0bcd \u0baa\u0baf\u0ba3\u0bae\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0bb5\u0ba4\u0bc1\u0bae\u0bcd \u0ba4\u0bae\u0bbf\u0bb4\u0bc1\u0bae\u0bcd \u0ba4\u0bae\u0bbf\u0bb4\u0bcd \u0b87\u0bb2\u0b95\u0bcd\u0b95\u0bbf\u0baf\u0bae\u0bc1\u0bae\u0bcd \u0b8e\u0ba9\u0b95\u0bcd \u0b95\u0bc2\u0bb1\u0bbf\u0baf\u0bc1\u0bb3\u0bcd\u0bb3\u0bbe\u0bb0\u0bcd. \u0b85\u0bb5\u0bb0\u0bcd \u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95\u0b95\u0bcd \u0b95\u0ba3\u0bbf\u0ba4\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bc1\u0b95\u0ba4\u0bcd\u0ba4\u0bc1\u0b95\u0bcd\u0b95\u0bc1 \u0b85\u0bb3\u0bbf\u0ba4\u0bcd\u0ba4 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bbe\u0ba3\u0bb2\u0bbf\u0bb2\u0bcd \u0b95\u0bc2\u0bb1\u0bbf\u0baf\u0bb5\u0bb1\u0bcd\u0bb1\u0bc8 \u0b85\u0bb5\u0bb0\u0bcd \u0b95\u0bc2\u0bb1\u0bcd\u0bb1\u0bbe\u0b95\u0bb5\u0bc7 \u0b95\u0bc7\u0b9f\u0bcd\u0b95\u0bb2\u0bbe\u0bae\u0bcd [2]<\/p>\n<p style=\"text-align: justify\"><em>\u2018\u2019\u00a0<\/em><em>I like reading Tamil literature, which I enjoy. Not many people in the world are familiar with Tamil as a language. It is a language which is\u00a0<\/em>2,000<em>\u00a0<\/em><em>years old, almost as old as Sanskrit. It is perhaps the only language which today is not very different from the way it was\u00a0<\/em>2,000<em>\u00a0<\/em><em>years ago. So, I can take a book of poetry written\u00a0<\/em>2,000<em>\u00a0<\/em><em>years ago, and I will still be able to read it. To the extent I can, I do that.\u2019\u2019<\/em><\/p>\n<p>\u0b87\u0bb5\u0bb0\u0bc1\u0b9f\u0bc8\u0baf \u0baa\u0bc6\u0bb0\u0bc1\u0bae\u0bc8\u0bae\u0bbf\u0b95\u0bc1 \u0bb5\u0bbe\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0bc8\u0baf\u0bbf\u0bb2\u0bcd \u0baa\u0bc6\u0bb0\u0bc1\u0bae\u0bcd \u0ba4\u0bc1\u0ba9\u0bcd\u0baa\u0b95\u0bb0\u0bae\u0bbe\u0ba9 \u0ba8\u0bbf\u0b95\u0bb4\u0bcd\u0b9a\u0bcd\u0b9a\u0bbf\u0baf\u0bc1\u0bae\u0bcd \u0b92\u0ba9\u0bcd\u0bb1\u0bc1\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. \u0b87\u0bb5\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0bc1 \u0b95\u0bcb\u0baa\u0bbe\u0bb2\u0bcd, \u0b85\u0b9a\u0bcb\u0b95\u0bcd\u0b95\u0bc1 \u0b8e\u0ba9 \u0b87\u0bb0\u0ba3\u0bcd\u0b9f\u0bc1\u00a0 \u0bae\u0b95\u0ba9\u0bcd\u0b95\u0bb3\u0bcd. 1969 \u0b86\u0bae\u0bcd \u0b86\u0ba3\u0bcd\u0b9f\u0bc1 \u0baa\u0bbf\u0bb1\u0ba8\u0bcd\u0ba4\u00a0 \u0bae\u0bc2\u0ba4\u0bcd\u0ba4 \u0bae\u0b95\u0ba9\u0bcd \u0b95\u0bcb\u0baa\u0bbe\u0bb2\u0bcd 2001\u00a0 \u0b86\u0ba3\u0bcd\u0b9f\u0bc1 \u0b86\u0b95\u0ba4\u0bcd\u0ba4\u0bc1 \u0bae\u0bbe\u0ba4\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd \u0ba8\u0bbf\u0baf\u0bc2\u0baf\u0bbe\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bbf\u0bb2\u0bcd \u0b95\u0bc7\u0ba3\u0bcd\u0b9f\u0bb0\u0bcd \u0b83\u0baa\u0bbf\u0b9f\u0bcd\u0b9a\u0bc1\u0b95\u0bc6\u0bb0\u0bbe\u0bb2\u0bcd\u0b9f\u0bc1 (Cantor Fitzgerald) \u0b8e\u0ba9\u0bcd\u0ba9\u0bc1\u0bae\u0bcd \u0ba8\u0bbf\u0bb1\u0bc1\u0bb5\u0ba9\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd \u0b87\u0baf\u0b95\u0bcd\u0b95\u0bc1\u0ba8\u0bb0\u0bbe\u0b95\u0b9a\u0bcd \u0b9a\u0bc7\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4\u0bbe\u0bb0\u0bcd. \u00a0\u0b92\u0bb0\u0bc1\u0bae\u0bbe\u0ba4 \u0b95\u0bbe\u0bb2\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd \u0b9a\u0bc6\u0baa\u0bcd\u0b9f\u0bae\u0bcd\u0baa\u0bb0\u0bcd 2001 \u0b87\u0bb2\u0bcd \u0b89\u0bb2\u0b95\u0bb5\u0ba3\u0bbf\u0b95\u0b95\u0bcd \u0b95\u0bcb\u0baa\u0bc1\u0bb0\u0b99\u0bcd\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bae\u0bc0\u0ba4\u0bc1 \u0bb5\u0bbe\u0ba9\u0bc2\u0bb0\u0bcd\u0ba4\u0bbf \u0bae\u0bcb\u0ba4\u0bbf \u0b8f\u0bb1\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b95\u0bca\u0b9f\u0bc1\u0ba8\u0bbf\u0b95\u0bb4\u0bcd\u0bb5\u0bbf\u0bb2\u0bcd \u0b8e\u0ba4\u0bbf\u0bb0\u0bcd\u0baa\u0bbe\u0bb0\u0bbe\u0ba4\u0bc1 \u0b87\u0bb1\u0ba8\u0bcd\u0ba4\u0bc1\u0baa\u0bcb\u0ba9\u0bbe\u0bb0\u0bcd.<\/p>\n<p style=\"text-align: justify\">2008 \u0b86\u0bae\u0bcd \u0b86\u0ba3\u0bcd\u0b9f\u0bc1 \u0b87\u0ba8\u0bcd\u0ba4\u0bbf\u0baf\u0bbe \u0b87\u0bb5\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0ba4\u0bc1\u0bae \u0baa\u0bc2\u0b9a\u0ba9\u0bcd \u0bb5\u0bbf\u0bb0\u0bc1\u0ba4\u0bc1 \u0bb5\u0bb4\u0b99\u0bcd\u0b95\u0bbf \u0baa\u0bc6\u0bb0\u0bc1\u0bae\u0bc8\u0baa\u0bcd\u0baa\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bbf\u0baf\u0ba4\u0bc1. \u0b85\u0b95\u0bb5\u0bc8 76 \u0b86\u0ba9\u0bbe\u0bb2\u0bc1\u0bae\u0bcd, \u0b87\u0ba9\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0b86\u0bb4\u0bae\u0bbe\u0ba9 \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0bb0\u0bc8\u0b95\u0bb3\u0bc8 \u0b8e\u0bb4\u0bc1\u0ba4\u0bbf\u0bb5\u0bc6\u0bb3\u0bbf\u0baf\u0bbf\u0b9f\u0bc1\u0b95\u0bbf\u0ba9\u0bcd\u0bb1\u0bbe\u0bb0\u0bcd [4].<\/p>\n<p style=\"text-align: justify\">\u0baa\u0bc7\u0bb0\u0bbe\u0b9a\u0bbf\u0bb0\u0bbf\u0baf\u0bb0\u0bcd \u0b9a\u0bc0\u0ba9\u0bbf\u0bb5\u0bbe\u0b9a \u0bb5\u0bb0\u0ba4\u0ba9\u0bcd \u0ba4\u0ba9\u0bcd \u0ba8\u0ba3\u0bcd\u0baa\u0bb0\u0bcd\u0b95\u0bb3\u0bbe\u0bb2\u0bcd \u2018\u2019\u0bb0\u0b95\u0bc1\u2019\u2019 \u0b8e\u0ba9 \u0b85\u0bb4\u0bc8\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bc1\u0b95\u0bbf\u0ba9\u0bcd\u0bb1\u0bbe\u0bb0\u0bcd. \u0b85\u0bb5\u0bb0\u0bc1\u0b9f\u0bc8\u0baf \u0ba8\u0bbf\u0baf\u0bc2\u0baf\u0bbe\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0bb2\u0bcd\u0b95\u0bb2\u0bc8\u0b95\u0bcd\u0b95\u0bb4\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0ba9\u0bcd \u0b87\u0ba3\u0bc8\u0baf\u0baa\u0bcd \u0baa\u0b95\u0bcd\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd \u0b85\u0bb5\u0bb0\u0bc1\u0b9f\u0bc8\u0baf \u0b85\u0ba3\u0bcd\u0bae\u0bc8\u0baf \u0b86\u0baf\u0bcd\u0bb5\u0bc1\u0b95\u0bcd\u0b95\u0b9f\u0bcd\u0b9f\u0bc1\u0bb0\u0bc8\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bb3\u0bcd \u0b89\u0bb3\u0bcd\u0bb3\u0ba9. [4]<br \/>\n\u0b87\u0bb5\u0bcd\u0bb5\u0bbe\u0bb0 \u0bb5\u0bb2\u0bcd\u0bb2\u0bae\u0bc8\u0baf\u0bbe\u0bb3\u0bb0\u0bbe\u0ba9 \u0b8f\u0baa\u0bb2\u0bcd \u0baa\u0bb0\u0bbf\u0b9a\u0bbe\u0bb3\u0bb0\u0bcd\u00a0\u00a0 \u0baa\u0ba4\u0bc1\u0bae\u0baa\u0bc2\u0b9a\u0ba9\u0bcd, \u0b85\u0bae\u0bc6\u0bb0\u0bbf\u0b95\u0bcd\u0b95\u0ba4\u0bcd\u0ba4\u0bc7\u0b9a\u0bbf\u0baf \u0b85\u0bb1\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd \u0baa\u0ba4\u0b95\u0bcd\u0b95\u0bae\u0bcd \u0bb5\u0bc6\u0ba9\u0bcd\u0bb1 \u0baa\u0bc7\u0bb0\u0bbe\u0b9a\u0bbf\u0bb0\u0bbf\u0baf\u0bb0\u0bcd \u0b9a\u0bc0\u0ba9\u0bbf\u0bb5\u0bbe\u0b9a \u0bb5\u0bb0\u0ba4\u0ba9\u0bcd \u0b85\u0bb5\u0bb0\u0bcd\u0b95\u0bb3\u0bc8\u0baa\u0bcd \u0baa\u0bbe\u0bb0\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf \u0bae\u0b95\u0bbf\u0bb4\u0bcd\u0b95\u0bbf\u0ba9\u0bcd\u0bb1\u0bcb\u0bae\u0bcd.<\/p>\n<p style=\"text-align: justify\">[1] \u0baa\u0bb2 \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bb3\u0bcd \u0b87\u0ba4\u0bbf\u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0baa\u0bc6\u0bb1\u0bcd\u0bb1\u0bb5\u0bc8: http:\/\/www-groups.dcs.st-and.ac.uk\/history\/Biographies\/Varadhan.html<br \/>\n[2] M Raussen and C Skau, Interview with Srinivasa Varadhan,\u00a0<em>Notices Amer. Math. Soc.<\/em>\u00a0<strong>55<\/strong>\u00a0(2) (2008), 238-246.<br \/>\n{3] The Abel Prize 2007.<br \/>\n{4] http:\/\/math.nyu.edu\/people\/profiles\/VARADHAN_SRS.html<br \/>\n[5] \u0baa\u0b9f\u0bae\u0bcd \u0baa\u0bc6\u0bb1\u0bcd\u0bb1 \u0b87\u0b9f\u0bae\u0bcd http:\/\/www.paulcarlislekettler.net\/s-r-srinivasa-varadhan-awarded-national-medal-of-science\/varadhan\/<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; \u0b9a\u0bc6.\u0b87\u0bb0\u0bbe. \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bbe\u0bb0\u0bcd \u0b87\u0ba8\u0bcd\u0ba4\u0b95\u0bcd \u0b95\u0bbf\u0bb4\u0bae\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0bb5\u0bb2\u0bcd\u0bb2\u0bae\u0bc8\u0baf\u0bbe\u0bb3\u0bb0\u0bcd \u0bb5\u0bbf\u0baf\u0baa\u0bcd\u0baa\u0bc2\u0b9f\u0bcd\u0b9f\u0bc1\u0bae\u0bcd \u0b92\u0bb0\u0bc1 \u0b95\u0ba3\u0bbf\u0ba4\u0bb5\u0bbf\u0baf\u0bb2\u0bbe\u0bb3\u0bb0\u0bcd. \u0b89\u0bb2\u0b95\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bc7 \u0baa\u0bb2\u0bcd\u0bb2\u0bbe\u0baf\u0bbf\u0bb0\u0b95\u0bcd\u0b95\u0ba3\u0b95\u0bcd\u0b95\u0bbe\u0ba9 \u0ba4\u0bc1\u0bb1\u0bc8\u0b95\u0bb3\u0bc1\u0bae\u0bcd \u0b95\u0bb2\u0bc8\u0b95\u0bb3\u0bc1\u0bae\u0bcd \u0b89\u0bb3\u0bcd\u0bb3\u0ba9. \u0b95\u0b9f\u0ba8\u0bcd\u0ba4&#8230;<\/p>\n","protected":false},"author":279,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[955],"tags":[1219],"class_list":["post-67065","post","type-post","status-publish","format-standard","hentry","category-vallamaiyalar-viruthu","tag-1219"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","featured_image_urls":{"full":"","thumbnail":"","medium":"","medium_large":"","large":"","1536x1536":"","2048x2048":"","covernews-featured":"","covernews-medium":""},"author_info":{"display_name":"\u0b9a\u0bc6. \u0b87\u0bb0\u0bbe. \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bbe\u0bb0\u0bcd","author_link":"https:\/\/www.vallamai.com\/?author=279"},"category_info":"<a href=\"https:\/\/www.vallamai.com\/?cat=955\" rel=\"category\">\u0bb5\u0bb2\u0bcd\u0bb2\u0bae\u0bc8\u0baf\u0bbe\u0bb3\u0bb0\u0bcd \u0bb5\u0bbf\u0bb0\u0bc1\u0ba4\u0bc1!<\/a>","tag_info":"\u0bb5\u0bb2\u0bcd\u0bb2\u0bae\u0bc8\u0baf\u0bbe\u0bb3\u0bb0\u0bcd \u0bb5\u0bbf\u0bb0\u0bc1\u0ba4\u0bc1!","comment_count":"5","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.vallamai.com\/index.php?rest_route=\/wp\/v2\/posts\/67065","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vallamai.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vallamai.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vallamai.com\/index.php?rest_route=\/wp\/v2\/users\/279"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vallamai.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=67065"}],"version-history":[{"count":0,"href":"https:\/\/www.vallamai.com\/index.php?rest_route=\/wp\/v2\/posts\/67065\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vallamai.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=67065"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vallamai.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=67065"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vallamai.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=67065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}