2018/05/13 by Gabriele Benedetti, Benedetti, Gabriele
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #37J05 #37J27 #53D25 #Characterization and Applications of Magnetic Nanoparticles #FOS: Mathematics #Geomagnetism and Paleomagnetism Studies #Metallurgical Processes and Thermodynamics #Symplectic Geometry (math.SG) #math.SG #msc:37J05 #msc:37J27 #msc:53D25
paper · pdf · doi:10.48550/arxiv.1805.04916
132 pages. The proof of Proposition 4.20 contains a gap, but the statement of that proposition is still true
arxiv created 2018/05/13 · openalex publication_date 2018/05/13 · arxiv updated 2018/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the author's PhD Thesis (University of Cambridge, 2014) in its original form. In the first part, using an invariance result, we compute the symplectic homology of contact-type energy levels for magnetic systems on surfaces, provided the energy is very large or very small. In the second part, which is partially contained in the later paper (Benedetti, Ergod. Theory Dynam. Syst., 2016), we discuss some rotationally symmetric examples and establish dynamical convexity for symplectic magnetic flows on low energy levels.