| Uniquely ergodic property of minimal probability measure in positive definite Lagrangian systems |
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| 引用本文： | CHEN Jing & BAI Yuzhen Department of Mathematics,Nanjing University,Nanjing 210093,China, Department of Mathematics,Qufu Normal University,Qufu 273165,China. Uniquely ergodic property of minimal probability measure in positive definite Lagrangian systems[J]. 中国科学A辑(英文版), 2006, 49(12): 1864-1866. DOI: 10.1007/s11425-006-2006-4 |
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| 作者姓名： | CHEN Jing & BAI Yuzhen Department of Mathematics Nanjing University Nanjing 210093 China Department of Mathematics Qufu Normal University Qufu 273165 China |
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| 作者单位： | CHEN Jing & BAI Yuzhen Department of Mathematics，Nanjing University，Nanjing 210093，China; Department of Mathematics，Qufu Normal University，Qufu 273165，China |
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| 摘 要： | Mane conjectured that every minimal measure in the generic Lagrangian systems is uniquely ergodic. In this paper, we will show that the answer to the Mane's conjecture is negative by analyzing the structure of the supports of minimal probability measures for some kinds of the Lagrangian systems.
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| 收稿时间： | 2005-11-27 |
| 修稿时间： | 2006-04-19 |
Uniquely ergodic property of minimal probability measure in positive definite Lagrangian systems |
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| CHEN Jing,BAI Yuzhen. Uniquely ergodic property of minimal probability measure in positive definite Lagrangian systems[J]. Science in China(Mathematics), 2006, 49(12): 1864-1866. DOI: 10.1007/s11425-006-2006-4 |
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| Authors: | CHEN Jing BAI Yuzhen |
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| Affiliation: | 1. Department of Mathematics,Nanjing University,Nanjing 210093,China
2. Department of Mathematics,Qufu Normal University,Qufu 273165,China |
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| Abstract: | Mane conjectured that every minimal measure in the generic Lagrangian systems is uniquely ergodic. In this paper, we will show that the answer to the Mane's conjecture is negative by analyzing the structure of the supports of minimal probability measures for some kinds of the Lagrangian systems. |
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| Keywords: | minimal probability measure uniquely ergodic Mather theory Lagrangian systems |
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