The quasi-ergodic hypothesis and Arnol'd diffusion in nearly integrable Hamiltonian systems/ (Record no. 34197)
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| 001 - CONTROL NUMBER | |
| control field | 35300 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140522.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 131205s20132013bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Congressos e Seminários. |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Guardia, Marcel |
| Affiliation | (Institut Mathématiques de Jussieu, France) |
| 9 (RLIN) | 6050 |
| 245 14 - TITLE STATEMENT | |
| Title | The quasi-ergodic hypothesis and Arnol'd diffusion in nearly integrable Hamiltonian systems/ |
| Statement of responsibility, etc. | Marcel Guardia. |
| 246 1# - VARYING FORM OF TITLE | |
| Title proper/short title | Minicurso: The quasi-ergodic hypothesis and Arnol'd diffusion in nearly integrable Hamiltonian systems |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | Mini Course - 5 classes |
| 505 2# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | The quasi-ergodic hypothesis, proposed by Ehrenfest and Birkhoff, says that a typical Hamiltonian system on a typical energy surface has a dense orbit. This question is wide open. In the early sixties, V. Arnold constructed a nearly integrable Hamiltonian system presenting instabilities and he conjectured that such instabilities existed in typical nearly integrable Hamiltonian systems. A proof of Arnold's conjecture in two and half degrees of freedom was announced by J. Mather in 2003. In these lectures I will explain a recent proof of Arnol'd conjecture for two and a half degrees of freedom systems based on two works, which use a different approach. One by V. Kaloshin, P. Bernard and K. Zhang, and another by V. Kaloshin and K. Zhang. Their approach is based on constructing a net of normally hyperbolic invariant cylinders and a version of Mather variational method. In these lectures I will also explain a more recent work by myself and V. Kaloshin. In this work, using also this approach, we prove a weak form of the quasi-ergodic hypothesis. We prove that for a dense set of non-autonomous perturbations of two degrees of freedom Hamiltonian systems there exist unstable orbits which accumulate in a set of positive measure containing KAM tori. |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Congressos e Seminários. |
| Linkage | 23755 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | CLASS 1 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=8dk0vcjC1nw&index=1&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO">https://www.youtube.com/watch?v=8dk0vcjC1nw&index=1&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | CLASS 2 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=OUZW0R-ko64&index=2&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO">https://www.youtube.com/watch?v=OUZW0R-ko64&index=2&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | CLASS 3 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=u7OUBEfjZU0&index=3&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO">https://www.youtube.com/watch?v=u7OUBEfjZU0&index=3&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | CLASS 4 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=3VGC1Ayxv9g&index=4&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO">https://www.youtube.com/watch?v=3VGC1Ayxv9g&index=4&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | CLASS 5 |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=7dNMjieTLrc&index=5&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO">https://www.youtube.com/watch?v=7dNMjieTLrc&index=5&list=PLo4jXE-LdDTTbk5dqhvMPb3liizziPJtO</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
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