On small time asymptotics for rough differential equations driven by fractional Brownian motions

We survey existing results concerning the study in small times of the density of the solution of a rough differential equation driven by fractional Brownian motions. We also slightly improve existing results and discuss some possible applications to mathematical finance.Comment: This is a survey paper, submitted to proceedings in the memory of Peter Laurenc

Protection of Works of Art From Atmospheric Ozone

Assesses the colorfastness of organic colorants and watercolor pigments tested in atmospheric ozone. A summary of a full report of the Environmental Quality Laboratory, California Institute of Technology, Pasadena

Myoclonus in adult Huntington's disease

Two brothers with clinically definite adult Huntington's disease developed disabling myoclonus years after the first signs of the disease. Their electroencephalograms were consistent with a primary generalized epilipsy, although neither man had seizures. The myoclonus was controlled with valproic acid therapy.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/50341/1/410290217_ftp.pd

Hypernovae/GRB in the Galactic Center as possible sources of Galactic Positrons

The observation of a strong and extended positron-electron line annihilation emission in the central regions of the Galaxy by INTEGRAL-SPI, consistent with the Galactic bulge geometry, without any counterpart in the gamma-ray range, neither at high energy nor in the 1809 keV $^{26}$Al decay line, is challenging. Leaving aside the geometrical question, we address the problem of the adequate positron sources, showing the potentiality of a new category of SN Ic, exemplified by SN2003dh, which is associated to a gamma-ray burst. This kind of supernova/hypernova/GRB event is interpreted as the result of a bipolar Wolf-Rayet explosion, which produces a large amount of $^{56}$Ni and ejects it at high velocity along the rotation axis. The bulk of positrons resulting from $^{56}$Co decay escapes in the surrounding medium due to the rapid thinning of the ejecta in the polar direction. We show that a rate of about 0.02 SN2003dh-like events per century in the central region of the Galaxy is sufficient to explain the positron flux detected by INTEGRAL-SPI. In order to explain this flux by SN Ia events alone, a rate of 0.5 per century is necessary, much higher than indicated by Galactic evolutionary models applied to the bulge. Further observations of late light curves of SNe Ia and SNe Ic in the bulge of spiral galaxies, together with 3D hydrodynamic calculations of anisotropic ejections of $^{56}$Ni in SN Ic/GRB events, will allow to estimate the separate contributions of SNe Ia and SNe Ic to positron injection.Comment: 7 pages, 0 figures, accepted for publication in Astrophysical Journal Letters, 2003 12 0

Plant diseases - Bacterial canker of tomatoes / Cover spray for the control of celery leaf spot / Stunt disease in subterranean clover

Bacterial canker is perhaps the most serious disease confronting tomato growers in Western Australia. Once established in a planting, it is very difficult to control and it can also persist in the soil or on the supporting stakes from season to season. The disease was first recorded in Western Australia in December, 1945, when it was introduced in seed of the Tatura variety ex the Eastern States. Since then it has become very widespread. INVESTIGATIONS commenced during the past autumn have indicated that Bordeaux 4:4:40 is the most effective of eight fungicidal preparations tested as cover sprays for the control of celery leaf spot. THE stunt virus disease of subterranean clover, formerly referred to as little leaf, was found during the winter of 1958 in the South Coastal agricultural areas at Esperance, Gibson and Gairdner River on subterranean clover varieties Bacchus Marsh, Dwalganup and Yarloop. Reports indicate that it also occurred in 1955 at Esperance

Understanding the Impact of Learning Community Support for STEM students with Low Mathematics Placement

As a residential college within Michigan State University that focuses on STEM fields, Lyman Briggs College developed a STEM learning community to support students with low mathematics placement test scores, the Instilling Quantitative and Integrative Reasoning program (INQUIRE). INQUIRE serves some of those students considered historically at-risk based on STEM retention and graduation rates. INQUIRE was developed as learning community using curricular design, cohort-building activities, and academic resources to assist students’ transition to college. Participating students were surveyed to understand the student experience of INQUIRE. Students’ responses indicated that the program helped them adjust to college, prepare for introductory STEM courses, collaborate with other students and faculty, and experience academic and personal growth. A few students (4%) stated that the program put them behind their peers. Quantitatively, four-year STEM retention showed an increase from 43 to 56% for students starting in college-level algebra but remained statistically unchanged for those beginning in pre-college algebra (moving from 31 to 37%). The six-year graduation rates for both groups remained unchanged. These results indicate the difficulty in improving the graduation rates of students with low mathematics placement but indicate that INQUIRE made a positive and meaningful impact on students’ experience

Molecular Marker Analysis as a Guide to the Sources of Fine Organic Aerosols

The molecular composition of fine particulate (D_p ≥ 2 µm) organic aerosol emissions from the most important sources in the Los Angeles area has been determined. Likewise, ambient concentration patterns for more than 80 single organic compounds have been measured at four urban sites (West Los Angeles, Downtown Los Angeles, Pasadena, and Rubidoux) and at one remote offshore site (San Nicolas Island). It has been found that cholesterol serves as a marker compound for emissions from charbroilers and other meat cooking operations. Vehicular exhaust being emitted from diesel and gasoline powered engines can be traced in the Los Angeles atmosphere using fossil petroleum marker compounds such as steranes and pentacyclic triterpanes (e.g., hopanes). Biogenic fine particle emission sources such as plant fragments abraded from leaf surfaces by wind and weather can be traced in the urban atmosphere. Using distinct and specific source organic tracers or assemblages of organic compounds characteristic for the sources considered it is possible to estimate the influence of different source types at any urban site where atmospheric data are available

A reevaluation of achromatic spatio-temporal vision: nonoriented filters are monocular, they adapt, and can be used for decision making at high flicker speeds

Masking, adaptation, and summation paradigms have been used to investigate the characteristics of early spatio-temporal vision. Each has been taken to provide evidence for (i) oriented and (ii) nonoriented spatial-filtering mechanisms. However, subsequent findings suggest that the evidence for nonoriented mechanisms has been misinterpreted: those experiments might have revealed the characteristics of suppression (eg, gain control), not excitation, or merely the isotropic subunits of the oriented detecting mechanisms. To shed light on this, we used all three paradigms to focus on the ‘high-speed’ corner of spatio-temporal vision (low spatial frequency, high temporal frequency), where cross-oriented achromatic effects are greatest. We used flickering Gabor patches as targets and a 2IFC procedure for monocular, binocular, and dichoptic stimulus presentations. To account for our results, we devised a simple model involving an isotropic monocular filter-stage feeding orientation-tuned binocular filters. Both filter stages are adaptable, and their outputs are available to the decision stage following nonlinear contrast transduction. However, the monocular isotropic filters (i) adapt only to high-speed stimuli—consistent with a magnocellular subcortical substrate—and (ii) benefit decision making only for high-speed stimuli (ie, isotropic monocular outputs are available only for high-speed stimuli). According to this model, the visual processes revealed by masking, adaptation, and summation are related but not identical

The metabolic bone disease associated with the Hyp mutation is independent of osteoblastic HIF1α expression

Fibroblast growth factor-23 (FGF23) controls key responses to systemic phosphate increases through its phosphaturic actions on the kidney. In addition to stimulation by phosphate, FGF23 positively responds to iron deficiency anemia and hypoxia in rodent models and in humans. The disorder X-linked hypophosphatemia (XLH) is characterized by elevated FGF23 in concert with an intrinsic bone mineralization defect. Indeed, the Hyp mouse XLH model has disturbed osteoblast to osteocyte differentiation with altered expression of a wide variety of genes, including FGF23. The transcription factor Hypoxia inducible factor-1α (HIF1α) has been implicated in regulating FGF23 production and plays a key role in proper bone cell differentiation. Thus the goals of this study were to determine whether HIF1α activation could influence FGF23, and to test osteoblastic HIF1α production on the Hyp endocrine and skeletal phenotypes in vivo. Treatment of primary cultures of osteoblasts/osteocytes and UMR-106 cells with the HIF activator AG490 resulted in rapid HIF1α stabilization and increased Fgf23 mRNA (50-100 fold; p < 0.01-0.001) in a time- and dose-dependent manner. Next, the Phex gene deletion in the Hyp mouse was bred onto mice with a HIF1α/Osteocalcin (OCN)-Cre background. Although HIF1α effects on bone could be detected, FGF23-related phenotypes due to the Hyp mutation were independent of HIF1α in vivo. In summary, FGF23 can be driven by ectopic HIF1α activation under normal iron conditions in vitro, but factors independent of HIF1α activity after mature osteoblast formation are responsible for the disease phenotypes in Hyp mice in vivo