263,626 research outputs found
Rabinowitz Floer homology and coisotropic intersections
No full text학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2014. 2. Urs Frauenfelder.Urs Frauenfelder와 Kai Cieliebak은 Paul Rabinowitz가 자율적 해밀턴 시스템에서 주기궤도들 찾기 위해 제안한 라그랑즈 승수 함수를 사용하여 Rabinowitz Floer homology 이론을 개발하였다.
이 논문에서는 우리는 임의의 여차원을 가지는 여등방성 부분다양체 위의 역학구조를 분석하는데 적합한 여러개의 Lagrange 상수들을 가지는 일반화된 Rabinowitz 함수를 연구할 것이다. 우리는 일반화된 Rabinowitz 함수를 사용하여 여등방성 궤적 교차점, 여등방성 부분 다양체의 전치가능성, 그리고 여등방성 부분다양체의 Rabinowitz Floer homology 등에 관해 연구할 것이다. 우리는 또한 Rabinowitz Floer homology의 Künneth 공식을 유도하여 무한개의 여등방 궤적 교차점을 가지는 여등방성 부분다양체들을 찾을 것이다. 이 연구는 여러 개의 운동 상수 (보존량) 를 가지는 운동 시스템을 연구하는데 중요한 역할을 할 것이다.Rabinowitz Floer homology theory was developed by Kai Cieliebak and Urs Frauenfelder using a Lagrange multiplier action functional, which was introduced by Paul Rabinowitz in order to detect periodic orbits of autonomous Hamiltonian systems.
In this thesis, we study a generalized Rabinowitz action functional with several Lagrange multipliers, which is well suited for exploring dynamics on coisotropic submanifolds of arbitrary codimensions. Using this, we investigate among others, the existence problem of leafwise coisotropic intersection points, displaceability of coisotropic submanifolds, and Rabinowitz Floer homology for coisotropic submanifolds. We also derive a Künneth formula for the Rabinowitz Floer homology of product coisotropic submanifolds, and this enables us to find a class of coisotropic submanifolds which have infinitely many leafwise coisotropic intersection points. This study will serve as a crucial tool for exploring autonomous dynamical systems with several integrals.Abstract i
1 Preliminaries on symplectic geometry 1
1.1 Hamiltonian dieomorphisms 2
1.2 Coisotropic submanifolds 3
1.3 Examples of contact coisotropic submanifolds 9
2 Statement of the results 14
2.1 Assumptions on manifolds 15
2.2 Main theorem 17
2.3 Leafwise coisotropic intersections 18
2.4 Leafwise displacement energy 22
2.5 Rabinowitz Floer homology 23
2.6 Künneth formula 25
2.7 List of related results 27
3 The Rabinowitz action functional with several Lagrange multipliers 28
3.1 The Rabinowitz action functional for coisotropic submanifolds 28
3.2 The perturbed Rabinowitz action functional 30
3.2.1 Compactness 34
3.3 Proof of Theorem A 42
4 The existence of a periodic orbit and the leafwise displacement energy 49
4.1 Proof of Theorem D 50
5 Rabinowitz Floer homology 53
5.1 Boundary Operator 54
5.2 Continuation Homomorphism 58
5.3 Proof of Theorem E 60
5.4 Filtered Rabinowitz Floer Homology 61
5.5 Proof of Theorem B 62
5.6 Proof of Theorem C 65
6 Künneth formula in Rabinowitz Floer homology 69
6.1 Rabinowitz action functional for product manifolds 69
6.1.1 Compactness 71
6.2 Proof of Theorem F 74
6.3 Proof of Theorem G 78
7 Infinitely many leafwise intersection points 83
7.1 Proofs of Corollary F and Corollary G 83
Abstract (in Korean) 95
Acknowledgement (in Korean) 97Docto
W. Gerson Rabinowitz, Aristotle's Protrepticus and the Sources of Its Reconstruction. I
No full textMansion Suzanne. W. Gerson Rabinowitz, Aristotle's Protrepticus and the Sources of Its Reconstruction. I. In: Revue Philosophique de Louvain. Troisième série, tome 56, n°50, 1958. pp. 316-320
W. Gerson Rabinowitz, Aristotle's Protrepticus and the Sources of Its Reconstruction. I
No full textMansion Suzanne. W. Gerson Rabinowitz, Aristotle's Protrepticus and the Sources of Its Reconstruction. I. In: Revue Philosophique de Louvain. Troisième série, tome 56, n°50, 1958. pp. 316-320
Nur-i-Afshan V.03 no.28 July 1899 Supplement
No full textContents: Editorial notes - Current thought : death of Joseph Rabinowitz - In meekness instructing - Star worship - Wild oats [Poetry] by Scott, E. A. - Telegrams [Letter]
This volume of Nur-i-Afshan published weekly on Fridays from Ludhiana
Dialogical Relationships between ""the Authorial Reader"" and ""the Narrative Reader"" in Reading of Fiction (I) : Considering Rabinowitz & Smith's Authorizing Readers as a Pedagogical Theory for Teaching of Fictions
No full textIn this Paper, Peter Rabinowitz and Michael Smith's Authorizing Readers (1997) was considered as a fundamental work for teaching of fictional texts. Rabinowitz and Smith emphasized the dialogical relationships between ""the authorial reader"" and ""the narrative reader"" in reading acts of a practical reader. Rabinowitz argued that if readers failed to playing either ""the authorial reader"" or ""the narrative reader"", they would take any misreadings such that what he called ""Quixotic"" or ""Emma-Bovary"" or ""Blimberism."" On the other hand, Smith argued if readers wouldn't play as ""the narrative reader"" but as ""the authorial reader,"" they couldn't get the point of the story, and couldn't respect not only characters and narrator, but also the author of the story. Rabinowitz also emphasized the rhetoric of fragile texts, and suggested that we teachers of fictions must resist what he called ""the Doctorine of the Macho Text,"" and consider the fragilities of fictional texts for comprehending any other reader's comprehention. In conclusion, some suggestions for reconstructioning teaching and learning of fictions were suggested as follows; 1) For respect to the author, we must recognize the effectiveness of ""the authorial reader"" concept in reading act. ; 2) For respect to the narrators and the fictional characters, we must develop literary reading process founded by the triadic relations with practical reader, ""the authorial reader"" and ""the narrative reader""; 3) For respect any other peer-readers, we should develop teaching practices holding perspectives to fragilities of fictional texts
Judah Messer Leon. The Book of the Honeycomb's Flow. Sepher Nopheth Suphim, a critical edition and translation by I. Rabinowitz
No full textSchwarzfuchs Simon. Judah Messer Leon. The Book of the Honeycomb's Flow. Sepher Nopheth Suphim, a critical edition and translation by I. Rabinowitz. In: Revue de l'histoire des religions, tome 203, n°3, 1986. pp. 326-327
Existence of weak solutions to superlinear elliptic systems without the Ambrosetti-Rabinowitz condition
No full textIn this article, we study the existence of the weak solution for superlinear elliptic equations and systems without the Ambrosetti-Rabinowitz condition. The Ambrosetti-Rabinowitz condition guarantees the boundedness of the PS sequence of the functional I for the corresponding problem. We establish the existence of the weak solution for the superlinear elliptic equation by using (PS)c form of the Mountain pass lemma, and the existence of the weak solution for the superlinear elliptic system by using (PS)*c form of the Linking theorem.Mathematic
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Caroline Rabinowitz and Eric Wolf Rabinowitz letter to the editor of the Seattle P-I regarding the Goodwill Games, June 18, 1986
No full textThe 1990 Goodwill Games was the second edition of the international multi-sport event created by Ted Turner, which was held between July 20 and August 5, 1990. Following an inaugural edition in Moscow, the second games took place in Seattle, United States, highlighting the competition's role in fostering good Soviet–U.S. relations. The games were opened at the University of Washington's Husky Stadium with a speech by former U.S. President Ronald Reagan, as well as an address by Arnold Schwarzenegger and performances by the Moody Blues and Gorky Park.
The games' motto was "Uniting the World's Best", and a total of 2,312 athletes from 54 countries engaged in the 17-day program of 21 sports.The size of the sporting program meant that some events were held in other Washington cities, including Tacoma, Spokane, and the Tri-Cities area. A number of venues in the region were built or renovated for the Games: Federal Way gained an aquatics venue (King County Aquatic Center) through the games, while Seattle itself gained a new track for Husky Stadium and new flooring for the Edmundson Pavilion.The Seattle Space Needle had a large purpose-built gold medal hung around the structure during the Games
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