Positive Lyapunov Exponents for Quasiperiodic Szego cocycles

In this paper we first obtain a formula of averaged Lyapunov exponents for ergodic Szego cocycles via the Herman-Avila-Bochi formula. Then using acceleration, we construct a class of analytic quasi-periodic Szego cocycles with uniformly positive Lyapunov exponents. Finally, a simple application of the main theorem in [Y] allows us to estimate the Lebesgue measure of support of the measure associated to certain class of C1 quasiperiodic 2- sided Verblunsky coefficients. Using the same method, we also recover the [S-S] results for Schrodinger cocycles with nonconstant real analytic potentials and obtain some nonuniform hyperbolicity results for arbitrarily fixed Brjuno frequency and for certain C1 potentials.Comment: 27 papge

Creating a Pull Planning Guide for Industry Use

The construction industry is quickly making Pull Planning sessions a commodity only the largest companies can afford due to expensive consultants and the common perception of a complicated process. Pull Planning does not need to be complicated but can be quickly implemented by all types of companies utilizing extensive research completed on The Last Planner System. The benefits of Pull Planning include creating buy-in to the plan, making hand-offs known, and creating reliability and trust from the key Players on a project. As the demand for a more productive construction project rises, it is increasingly important for the scheduling methods to stay current and be accessible to all types and sizes of contractors. This project outlines a rudimentary process, via the deliverables for a general contractor to follow to implement Pull Planning on a project at little to no cost

Total Quality Management (TQM) Practices of School Administrators in Relation to School Performance among Teacher Education Institutions in the Province of Quezon

One of the emerging philosophies of management is that of total quality management. Total quality management has received wide acclaim enhancement in industry as well as school nowadays. School started to explore the potential for applying the TQM philosophy to education, this requires the number of changes in any educational institution particularly in the attitudes and activities of the leadership and educators, in the organization, monitoring of educational process, in the evaluation of the result, in the culture of communication, in the school atmosphere and especially in the area of interpersonal relations. The School administrators being the highest-ranking official in the school are responsible for the overall operation of a school, and in the 21st century the school administrator wear a multiple of hats just to make sure that the operation in the school goes smoothly, meaning the effectiveness with which he/she handle the tasks assigned to him being the growing interest in improving the efficiency and relevance of these activities is reflected in the adaption of total quality management mechanism, through the institutional actions towards the development of a quality culture, these embedding the philosophy of centennial improvement or the processes of institutional modernization, search for critical factors and clarification of mission and objectives which will eventually lead to quality improvement. The study assessed the total quality management practices of school administrators in terms of curriculum and instruction, human resources, physical facilities, budget allocation and research in selected teacher educational institutions in the Province of Quezon in relation to school performance for the first semester of SY: 2016-2017. The respondents included 132 teachers and 37 school administrators for eight Teacher Education Program in the Province of Quezon both private and public colleges/universities. Included in the assessment are the status of the school performance in terms of faculty performance, enrollment rate, dropped-out rate, retention rate and graduation rate and the awards and recognitions received by the respondent schools. The research on the Total Quality Management Practices hoped to bring improvement in the quality of education for the respondent schools and could also provide information on how this could be done by school administrators in the operation of the school, the students on the other hand maybe guided by the skills of the school administrators that may affect their academic performance. The study was anchored with Deming’s theory of Total Quality management, where it was believed to provide quality body of methodologies that are customer-based and service oriented. As mentioned the study assessed the total quality management practices of school administrators in selected teacher educational institutions in the Province of Quezon in relation to school’s performance and eventually to find out if there is a significant relationship between the assessment of TQM practices of the school administrators and performance of the school and at the end developed an action plan just to enhance the TQM practices to improve the school performance. The study used the descriptive research for this is the precise research design applicable to be used, this study described the total quality management practices of school administrators in selected teacher educational institutions in the Province of Quezon in relation to the students’ academic Performance. As told by Calderon, descriptive research is the process of gathering, analyzing, classifying and tabulating data about prevailing conditions, practices, beliefs, processes, trends and cause-effect relationshipand eventually making adequate interpretation of such data. This process fits the Kind of research undertaken by this study. The purposive sampling technique was used for the selection of the respondents (teachers and school administrators). The researcher prepared a questionnaires which was used in gathering data and this was validated by experts in the field of educational leadership and with enough experiences in leadership and management practices of the different educational programs in the tertiary level. The researcher personally disseminated the questionnaire to the respondents, and after answering personally retrieved then, an unstructured interview was also conducted both to the school administrators and teacher respondents to elicit some information and answers which were not clearly expounded from the questionnaire. These data obtained were collected, tabulated, analyzed and interpreted using some stalestical tools. Keywords: School Administrators, Performance, Strategic Directio

On the spectrum and Lyapunov exponent of limit periodic Schrodinger operators

We exhibit a dense set of limit periodic potentials for which the corresponding one-dimensional Schr\"odinger operator has a positive Lyapunov exponent for all energies and a spectrum of zero Lebesgue measure. No example with those properties was previously known, even in the larger class of ergodic potentials. We also conclude that the generic limit periodic potential has a spectrum of zero Lebesgue measure.Comment: 12 pages. To appear in Communications in Mathematical Physic