02374nam 2200565 450 991078888850332120180731044907.01-4704-0155-X(CKB)3360000000464378(EBL)3113433(SSID)ssj0000973443(PQKBManifestationID)11553119(PQKBTitleCode)TC0000973443(PQKBWorkID)10960294(PQKB)11142907(MiAaPQ)EBC3113433(RPAM)3665786(PPN)195410777(EXLCZ)99336000000046437820770811h19771977 uy| 0engur|n|---|||||txtccrOn the number of simply connected minimal surfaces spanning a curve /A.J. TrombaProvidence, Rhode Island :American Mathematical Society,[1977]©19771 online resource (131 p.)Memoirs of the American Mathematical Society ;number 194Description based upon print version of record.0-8218-2194-6 Bibliography: pages 118-121.""Table of Contents""; ""0. Introduction""; ""I. A review of the Euler characteristic of a Palais-Smale vector field""; ""II. Analytical preliminaries â€? the Sobelev spaces""; ""III. The global formulation of the problem of Plateau""; ""IV. The existence of a vector field associated to the Dirichlet functional E[sub(α)]""; ""V. A proof that the vector field X[sup(α)], associated to E[sub(α)], is Palais-Smale""; ""VI. The weak Riemannian structure on η[sub(α)]""; ""VII. The equivariance of X[sup(α)] under the action of the conformal group""Memoirs of the American Mathematical Society ;no. 194.Minimal surfacesCritical point theory (Mathematical analysis)Boundary value problemsMinimal surfaces.Critical point theory (Mathematical analysis)Boundary value problems.516/.362Tromba Anthony41852MiAaPQMiAaPQMiAaPQBOOK9910788888503321On the number of simply connected minimal surfaces spanning a curve3696242UNINA03277nam 22006135 450 991102042500332120250812130243.03-031-95143-310.1007/978-3-031-95143-5(CKB)40259119600041(MiAaPQ)EBC32260180(Au-PeEL)EBL32260180(DE-He213)978-3-031-95143-5(EXLCZ)994025911960004120250812d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierBroadband Quantum Noise Reduction in Advanced Virgo Plus From Frequency-Dependent Squeezing Implementation to Detection Losses and Stray Light Mitigation /by Eleonora Polini1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (321 pages)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-50613-031-95142-5 Gravitational waves -- Ground based gravitational waves detectors -- Theory of quantum light in gravitational waves detectors -- Quantum noise reduction system overview in Advanced Virgo Plus -- Quantum noise reduction system commissioning -- Stray light in gravitational waves detectors -- Ghost beams study and mitigation -- Active control of scattered light on the FDS system -- Matching of the squeezing beam to the ITF -- New high finesse Output Mode Cleaner for Advanced Virgo Plus.This book presents the first implementation of frequency-dependent squeezing in the Virgo gravitational wave detector, a technique that reduces quantum noise across the entire detection band. By lowering noise, it enhances Virgo’s ability to observe the universe. It provides a detailed account of the experimental optical system—spanning hundreds of meters—and the measurement campaign that led to the first observation of frequency-dependent squeezing, with ellipse rotation occurring at the target frequency of a few tens of Hz. Additionally, the book covers the characterization and commissioning of a new Output Mode Cleaner cavity in Virgo to minimize optical losses on squeezed states. Finally, it examines the impact of stray light noise at low frequencies and explores mitigation strategies to improve detector sensitivity.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061GravitationQuantum opticsAstrophysicsOptoelectronic devicesGravitational PhysicsQuantum OpticsAstrophysicsOptoelectronic DevicesGravitation.Quantum optics.Astrophysics.Optoelectronic devices.Gravitational Physics.Quantum Optics.Astrophysics.Optoelectronic Devices.530.1Polini Eleonora1840712MiAaPQMiAaPQMiAaPQBOOK9911020425003321Broadband Quantum Noise Reduction in Advanced Virgo Plus4420283UNINA