Conformal Field Theories of Stochastic Loewner Evolutions

Stochastic Loewner evolutions (SLE) are random growth processes of sets, called hulls, embedded in the two dimensional upper half plane. We elaborate and develop a relation between SLE evolutions and conformal field theories (CFT) which is based on a group theoretical formulation of SLE processes and on the identification of the proper hull boundary states. This allows us to define an infinite set of SLE zero modes, or martingales, whose existence is a consequence of the existence of a null vector in the appropriate Virasoro modules. This identification leads, for instance, to linear systems for generalized crossing probabilities whose coefficients are multipoint CFT correlation functions. It provides a direct link between conformal correlation functions and probabilities of stopping time events in SLE evolutions. We point out a relation between SLE processes and two dimensional gravity and conjecture a reconstruction procedure of conformal field theories from SLE data.Comment: 38 pages, 3 figures, to appear in Commun. Math. Phy

Community Design Challenge

Poster displaying community design challenge. Five physically disabled members of the community have been given a design brief: to create a design that would solve a frustrating day to day activity.https://arrow.tudublin.ie/civpostbk/1049/thumbnail.jp

Product Design and Enable Ireland, Assistive Technology and Design for All.

Poster displaying details of Assistive technology. The ultimate objective of assistive technology is to contribute to the effective enhancement of the lives of people with disabilities and elderly people, helping to overcome the barriers they experience in society, increasing their experience of independence, and positively contributing to their social inclusion.https://arrow.tudublin.ie/civpostbk/1048/thumbnail.jp

Pulmonary Epithelial Integrity in Children: Relationship to Ambient Ozone Exposure and Swimming Pool Attendance

Airway irritants such as ozone are known to impair lung function and induce airway inflammation. Clara cell protein (CC16) is a small anti-inflammatory protein secreted by the nonciliated bronchiolar Clara cells. CC16 in serum has been proposed as a noninvasive and sensitive marker of lung epithelial injury. In this study, we used lung function and serum CC16 concentration to examine the pulmonary responses to ambient O(3) exposure and swimming pool attendance. The measurements were made on 57 children 10–11 years of age before and after outdoor exercise for 2 hr. Individual O(3) exposure was estimated as the total exposure dose between 0700 hr until the second blood sample was obtained (mean O(3) concentration/m(3) × hours). The maximal 1-hr value was 118 μg/m(3) (59 ppb), and the individual exposure dose ranged between 352 and 914 μg/m(3)hr. These O(3) levels did not cause any significant changes in mean serum CC16 concentrations before or after outdoor exercise, nor was any decrease in lung function detected. However, children who regularly visited chlorinated indoor swimming pools had significantly lower CC16 levels in serum than did nonswimming children both before and after exercise (respectively, 57 ± 2.4 and 53 ± 1.7 μg/L vs. 8.2 ± 2.8 and 8.0 ± 2.6 μg/L; p < 0.002). These results indicate that repeated exposure to chlorination by-products in the air of indoor swimming pools has adverse effects on the Clara cell function in children. A possible relation between such damage to Clara cells and pulmonary morbidity (e.g., asthma) should be further investigated

Composing Together: The Development of Musical Ideas with Students and Teachers

Contemporary Canadian pieces are performed and studied infrequently in school music programs due to their complex nature. The Ottawa-Carleton District School Board and the Canadian Music Centre commissioned 18 composers to compose a piece of educational music during a multi-year, multi-site research project entitled Making Music: Composing with Young Musicians. The musical pieces were written in collaboration with teachers and students. The following research question was addressed: How can musical ideas be conceptualized and developed with students and teachers? In their composition reports, the composers emphasized the importance of listening to students. Listening helped the composers understand the types of music students were familiar with, and to discern students’ instrumental abilities. Musical ideas were developed when students worked individually and in groups. Furthermore, composerteacher feedback, as well as teacher facilitation, facilitated a healthy exchange of musical ideas. These findings may be of interest to music teachers, post-secondary music educators, composers, and Canadian music publishers

Fee determination, costing and budgeting for accounting firms; Management of an accounting practice bulletin, MAP 15

https://egrove.olemiss.edu/aicpa_news/1241/thumbnail.jp

Basic financial reporting for accounting firms; Management of an accounting practice bulletin, MAP 14

https://egrove.olemiss.edu/aicpa_news/1240/thumbnail.jp

Charm mass dependence of the weak Hamiltonian in chiral perturbation theory

Suppose that the weak interaction Hamiltonian of four-flavour SU(4) chiral effective theory is known, for a small charm quark mass m_c. We study how the weak Hamiltonian changes as the charm quark mass increases, by integrating it out within chiral perturbation theory to obtain a three-flavour SU(3) chiral theory. We find that the ratio of the SU(3) low-energy constants which mediate Delta I=1/2 and Delta I=3/2 transitions, increases rather rapidly with m_c, as \sim m_c ln (1/m_c). The logarithmic effect originates from "penguin-type" charm loops, and could represent one of the reasons for the Delta I=1/2 rule.Comment: 20 pages. v2: references and clarifications added, published versio