1,721,181 research outputs found
A PLL-based approach to clock synchronization for trajectory rebuilding in event-triggered communication systems.
No full textIn this paper the problem of the temporal characteristics
preservation of a sampled trajectory after its data
transmission is faced. The considered system consists of
one master node, the sender of the sampled data, and one
slave node, the receiver. An event-triggered philosophy is
adopted for the communication system, without any kind
of data time-stamping procedure. After an initial analysis
of the system and the signals of interest, it is developed a
simple interface, able to overcome at the same time typical
problems, like drift, jitter and data flow control, in clock
synchronization and data communication. This interface
implements a controller based on the well-known phaselocking
technique. At last, simulations show the efficiency
of this approach
Geometry of Quantum Vortices and Link Invariants
No full textShort survey on a Chen integral approach to quantum vortex theor
Iterated Path Integral Realization of Quantum Vortex Currents: Construction of the Topological Invariants
No full textConstruction of the Milnor representation of a link via Chen integral
Higher order Linking Numbers, Curvature and Holonomy
No full textA differential geometric approach to Milnor-Massey higher order linking numbers
for generic links is devised, via Chen's theory of iterated path integrals. Massey linking
numbers arise from curvature forms of nilpotent "topological" connections, determined
by the link structure, and interpreted in terms of intersection theory, leading to a fairly
easy computation thereof. A version of the Turaev-Porter theorem expressing equality of
Milnor and Massey linking numbers is also exhibited along the same lines, by computing
suitable flat connection parallel transport operators in two different ways
On the Coadjoint Orbits of Rotational Perfect Fluids
No full textIn this paper the structure of vortex coadjoint orbits pertaining to perfect fluids having
smooth vorticities in R^3, within the framework set up by J. Marsden and A. Weinstein [Physica
D 7, 305-323 (1983)], in terms of an associated Hamiltonian Kaehler manifold (the Clebsch manifold, described in terms of the so-called Clebsch variables) is investigated. The
topological quantization of Mikhailov and Kuznetsov is related to geometric
quantization. Natural candidates for the coherent states on the Clebsch manifold are also
exhibited
A Geometric Approach to Quantum Vortices
No full textIn this paper a geometrical description is given of the theory of quantum vortices first developed by M.Rasetti and T.Regge, relying on the symplectic techniques introduced by J.Marsden and A.Weinstein and of the Kirillov-Kostant-Souriau geometric quantization prescription.
The RR current algebra is intepreted as the natural hamiltonian algebra associated to a certain
coadjoint orbit of the group of volume preserving diffeomorphisms of R^3.
and the Feynman-Onsager relation is traced back to the integrality of the orbit
Lesch-Nyhan syndrome
No full textThe A.A. outline the Lesch-Nyhan syndrome describing its natural history, etiology, pathology, anatomo-pathology and the clinical, diagnostic and therapeutic principles
Compact Binary Coalescences: Astrophysical Processes and Lessons Learned
Full text linkOn 11 February 2016, the LIGO and Virgo scientific collaborations announced the first direct detection of gravitational waves, a signal caught by the LIGO interferometers on 14 September 2015, and produced by the coalescence of two stellar-mass black holes. The discovery represented the beginning of an entirely new way to investigate the Universe. The latest gravitational-wave catalog by LIGO, Virgo and KAGRA brings the total number of gravitational-wave events to 90, and the count is expected to significantly increase in the next years, when additional ground-based and space-born interferometers will be operational. From the theoretical point of view, we have only fuzzy ideas about where the detected events came from, and the answers to most of the five Ws and How for the astrophysics of compact binary coalescences are still unknown. In this work, we review our current knowledge and uncertainties on the astrophysical processes behind merging compact-object binaries. Furthermore, we discuss the astrophysical lessons learned through the latest gravitational-wave detections, paying specific attention to the theoretical challenges coming from exceptional events (e.g., GW190521 and GW190814)
An Application of Geometric Quantization and the Coherent States to Vortex Theory
No full textISBN-13: 978981021447
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