scholarly journals A Criterion for Zero Averages and Full Support of Ergodic Measures

2018 ◽  
Vol 18 (1) ◽  
Author(s):  
Christian Bonatti ◽  
Lorenzo J. Díaz ◽  
Jairo Bochi
Fractals ◽  
2007 ◽  
Vol 15 (01) ◽  
pp. 63-72 ◽  
Author(s):  
JÖRG NEUNHÄUSERER

We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.


Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 80
Author(s):  
Sergey Kryzhevich ◽  
Viktor Avrutin ◽  
Nikita Begun ◽  
Dmitrii Rachinskii ◽  
Khosro Tajbakhsh

We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and demonstrated that an ITM, endowed with such a measure, is metrically conjugated to an interval exchange map (IEM). This allowed us to extend some properties of IEMs (e.g., an estimate of the number of ergodic measures and the minimality of the symbolic model) to ITMs. Further, we proved a version of the closing lemma and studied how the invariant measures depend on the parameters of the system. These results were illustrated by a simple example or a risk management model where interval translation maps appear naturally.


1992 ◽  
Vol 78 (2) ◽  
pp. 55-64
Author(s):  
E. P. Dewa

SummaryAs the build-up of Operation Granby forces developed in the Gulf, casualty estimates indicated the need for a 100-bed hospital facility to care for the possible maritime casualties. RF A Argus, the Air Training Ship, was identified as the potential Primary Casualty Reception Ship (PCRS) and at the end of September 1990 plans were drawn up to convert the forward hangar into a two-storey 100-bed hospital in collective protection (COLPRO).In the three weeks prior to deployment, the hospital was designed, built, equipped and staffed.Argus arrived in the Gulf in mid-November as the PCRS with, all in COLPRO, a 10-bed intensive care unit (ICU), a 14-bed high dependency unit (HDU), a 76-bed low dependency unit (LDU) plus four operating tables in two theatres with full support services.The hospital was staffed by a medical team of 136 personnel and supported by the Air department with four casualty evacuation helicopters, an RN Party and the staff of the RFA.One hundred and five patients were treated of which 78 were returned to duty. Argus as PCRS spent longer in the northern Persian Gulf than any other ship, UK or US.


2021 ◽  
Vol 2 (4) ◽  
pp. 321-329
Author(s):  
Arman Rifat Lette

Abstrak: Praktik bullying ataupun kekerasan di sekolah masih sering terjadi hingga saat ini. Sudah banyak kasus Bullying yang terungkap dan bahkan menyebabkan kematian bagi korban. Tujuan pengabdian ini adalah memberikan pengetahuan dan pemahaman kepada siswa tentang bullying dan cara pencegahannya. Bentuk kegiatan pengabdian yang dilakukan yaitu Penyuluhan kesehatan tentang bullying dan pencegahannya serta diskusi bersama. Kegiatan pengabdian masyarakat ini dilaksanakan pada hari Sabtu, tanggal 08 Februari 2020 pukul 09.20-11.00 WITA. Peserta kegiatan penyuluhan ini adalah siswa-siswi SMK Negeri 1 Lelogama, Kecamatan Amfoang Selatan, Kabupaten Kupang kelas XI-XII. Peserta penyuluhan sebanyak 68 peserta. Penyuluhan Kesehatan dapat berjalan dengan baik dan lancar. Pihak sekolah juga memberikan dukungan penuh dalam kegiatan pengabdian ini. Pengetahuan dan pemahaman siswa semakin bertambah terkait bullying dan cara pencegahannya, dibuktikan dari hasil pre-test dan post-test dimana terjadi peningkatan pengetahuan sebesar 30% setelah diberikan penyuluhan. Perlu dilakukan pengabdian lanjutan dengan waktu yang lebih lama untuk advokasi aturan/kebijakan terkait pencegahan dan penanganan bullying di sekolah.Abstract: The practice of bullying or violence in schools was still common today. There have been many cases of bullying that have been revealed and have even caused death to victims. The purpose of this service was to provide knowledge and understanding to students about bullying and how to prevent it. The form of service activities carried out was health counseling about bullying and its prevention and discussion together. This community service activity was held on Saturday, February 8, 2020 at 09.20-11.00 WITA. The participants of this counseling activity were students of SMK Negeri 1 Lelogama, Amfoang Selatan District, Kupang Regency in class XI-XII. There were 68 extension participants. Health education can run well and smoothly. The school also provides full support in this service activityStudents' knowledge and understanding is increasing regarding bullying and how to prevent it, as evidenced by the results of the pre-test and post-test where there is an increase in knowledge of 30% after being given counseling. Further service needs to be done with a longer time for advocating for rules / policies related to the prevention and handling of bullying in schools. 


1995 ◽  
Vol 58 (6) ◽  
pp. 1357-1359 ◽  
Author(s):  
S. G. Khaliullin

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Xingjie Helen Li ◽  
Fei Lu ◽  
Felix X.-F. Ye

<p style='text-indent:20px;'>Efficient simulation of SDEs is essential in many applications, particularly for ergodic systems that demand efficient simulation of both short-time dynamics and large-time statistics. However, locally Lipschitz SDEs often require special treatments such as implicit schemes with small time-steps to accurately simulate the ergodic measures. We introduce a framework to construct inference-based schemes adaptive to large time-steps (ISALT) from data, achieving a reduction in time by several orders of magnitudes. The key is the statistical learning of an approximation to the infinite-dimensional discrete-time flow map. We explore the use of numerical schemes (such as the Euler-Maruyama, the hybrid RK4, and an implicit scheme) to derive informed basis functions, leading to a parameter inference problem. We introduce a scalable algorithm to estimate the parameters by least squares, and we prove the convergence of the estimators as data size increases.</p><p style='text-indent:20px;'>We test the ISALT on three non-globally Lipschitz SDEs: the 1D double-well potential, a 2D multiscale gradient system, and the 3D stochastic Lorenz equation with a degenerate noise. Numerical results show that ISALT can tolerate time-step magnitudes larger than plain numerical schemes. It reaches optimal accuracy in reproducing the invariant measure when the time-step is medium-large.</p>


Author(s):  
Timothy G Harrison ◽  
Dudley E Shallcross

There are myriad benefits to science departments that have a public engagement in science portfolio in addition to any recruitment of new undergraduates. These benefits are discussed in this paper and include: improving congruence between A level and first year undergraduate courses, training in science communication and the breaking down of barriers between the public and universities. All activity requires investment of personnel and incurs a financial cost. Small scale activities may be able to absorb this cost, but ultimately as the portfolio grows this will become an increasing drain on resources. Bristol ChemLabS Outreach has, from the very start, set out to be fully sustainable financially and in terms of personnel. A very important component is the full support of the senior management team. In this paper we discuss how we have achieved this.


Author(s):  
Wojciech Kiebzak

Introduction: In the first year of life, the spine is very susceptible to various types of overload. During this period, it is extremely important to ensure optimal conditions for the physiological formation of curvature of the spine. Aim: The aim of the work is to present optimal ways of carrying infants, recommended by the authors. Material and methods: Using the keywords: ‘carrying children,’ ‘stacking babies,’ ‘moving babies,’ ‘carrying an infant,’ ‘stacking infants,’ ‘moving infants‘ the following databases were searched: ScienceDirect, Web of Science, PubMed, Scopus and ClinicalKey. Works published after 1990 were searched. The presented text describes the authors’ own experience gained throughout over 30 years of clinical work. Results and discussion: In the first year of life, manner of carrying a child should be adapted to the stage of its psychomotor development. During the first 4 months of life, the baby’s spine needs full support. Between 4 and 8 months of age, it is acceptable to carry the child vertically with relief from the spine. In the period when the child acquires ability to independently assume a sitting position and is able to control positioning of the torso in space, his body weight may rest on the tubers ischiale. Conclusions: (1) Proper way of carrying babies is important in the prevention of developmental coordination disorder in infants in the first year of life. (2) Periodical check-up of carrying position proper for a given stage of a child’s development is recommended.


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