410 research outputs found
On extending actions of groups
Problems of dense and closed extension of actions of compact transformation
groups are solved. The method developed in the paper is applied to problems of
extension of equivariant maps and of construction of equivariant
compactifications
Spectral multiplicity for powers of weakly mixing automorphisms
We study the behavior of maximal multiplicities for the powers of
a weakly mixing automorphism . For some special infinite set we show the
existence of a weakly mixing rank-one automorphism such that
and for all . Moreover, the cardinality
of the set of spectral multiplicities for is not bounded. We have
and , , . We
also construct another weakly mixing automorphism with the following
properties: for but ,
all powers have homogeneous spectrum, and the set of limit points of
the sequence is infinite
Quantum quenches in fractonic field theories
We study out-of-equilibrium dynamics caused by global quantum quenches in
fractonic scalar field theories. We consider several types of quenches, in
particular, the mass quench in theories with different types of discrete
rotational symmetries ( and ), as well as an
instantaneous quench via the transition between them. We also investigate
fractonic boundary quenches, where the initial state is prepared on a
finite-width slab in Euclidean time. We find that perturbing a fractonic system
in finite volume especially highlights the restricted mobility via the
formation and subsequent evolution of specific -symmetric spatial
structures. We discuss a generalization to -symmetric field
theories, and introduce a proper regularization, which allows us to explicitly
deal with divergences inherent to fractonic field theories.Comment: v1: 21 pages, 8 figures; v2: 20 pages, 8 figures, minor correction
Entanglement Islands and Infrared Anomalies in Schwarzschild Black Hole
In this paper, island formation for entangling regions of finite size in the
asymptotically flat eternal Schwarzschild black hole is considered. We check
the complementarity property of entanglement entropy which was implicitly
assumed in previous studies for semi-infinite regions. This check reveals the
emergence of infrared anomalies after regularization of a Cauchy surface. A
naive infrared regularization based on ``mirror symmetry'' is considered and
its failure is shown. We introduce an improved regularization that gives a
correct limit agreed with the semi-infinite results from previous studies. As
the time evolution goes, the endpoints of a finite region compatible with the
improved regularization become separated by a timelike interval. We call this
phenomenon the ``Cauchy surface breaking''. Shortly before the Cauchy surface
breaking, finite size configurations generate asymmetric entanglement islands
in contrast to the semi-infinite case. Depending on the size of the finite
regions, qualitatively new behaviour arises, such as discontinuous evolution of
the entanglement entropy and the absence of island formation. Finally, we show
that the island prescription does not help us to solve the information paradox
for certain finite size regions.Comment: v1: 55 pages, 19 figures; v2: 57 pages, 19 figures, references added,
Sec. 5 presentation improve
Nucleon Resonances and Quark Structure
A pedagogical review of the past 50 years of study of resonances, leading to
our understanding of the quark content of baryons and mesons. The level of this
review is intended for undergraduates or first-year graduate students. Topics
covered include: the quark structure of the proton as revealed through deep
inelastic scattering; structure functions and what they reveal about proton
structure; and prospects for further studies with new and upgraded facilities,
particularly a proposed electron-ion collider.Comment: 21 pages, 15 figure
The Assessment of Light Environment with the First Generation Leds
The article describes experimental studies on the effectiveness of lighting installations (LI) with light-emitting diodes (LEDs). It is established that LED-based lighting does not cause a negative impact on the organ of vision and the human body as a whole. The changes in the functional parameters of the organ of sight, which occur during the visual performance has the corresponding limits of physiological fluctuations and are reversible. The integral indicators of the efficiency of LED-based lighting were estimated. The practical significance of the results was shown
SURGICAL CORRECTION OF INSUFFICIENCY OF CEREBRAL BLOOD FLOW AT THE ATHEROSCLEROSIS OF EXTRACEREBRAL ARTERIES
There is more than 1 million people who have had a stroke in Russia; the third part of these people are of working age, and only every fourth patient returned to job. This article discusses one of the most effective methods of stroke prevention - the procedure of carotid endarterectomy. We performed 468 reconstructive operations in 448 patients. 65 % (305) of surgeries were open carotid endarterectomies. In other cases, operations of prosthetics or blood flow switching between extracerebral arteries (ECA) (163) were carried out. Short-term results of reconstructive operations showed that 96 % of outcomes were positive. Perioperative mortality at operations made 1.06 %. The general complications made 4.5 %, minor complications were observed in 21 patients (4.4 %). The five years survival rate of patients operated on ECA made 86 %, the main cause of death in recent follow-up period was a cardiac pathology (58 %), brain disorders made 15 %. Among dominating risk factors are coronary heart disease, previous transient ischemic attacks and residual neurologic impairment
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