Modular symbols and Hecke operators

We survey techniques to compute the action of the Hecke operators on the cohomology of arithmetic groups. These techniques can be seen as generalizations in different directions of the classical modular symbol algorithm, due to Manin and Ash-Rudolph. Most of the work is contained in papers of the author and the author with Mark McConnell. Some results are unpublished work of Mark McConnell and Robert MacPherson.Comment: 11 pp, 2 figures, uses psfrag.st

Reproducibility of Ambulatory Blood Pressure Changes from the Initial Values on Two Different Days

OBJECTIVE: We tested the reproducibility of changes in the ambulatory blood pressure (BP) from the initial values, an indicator of BP reactivity and cardiovascular health outcomes, in young, healthy adults. METHOD: The subjects wore an ambulatory BP monitor attached by the same investigator at the same time of day until the next morning on two different days (day 1 and day 2) separated by a week. We compared the ambulatory BP change from the initial values at hourly intervals over 24 waking and sleeping hours on days 1 and 2 using linear regression and repeated measures analysis of covariance. RESULTS: The subjects comprised 88 men and 57 women (mean age ¡SE 22.4 ¡0.3 years) with normal BP (118.3¡ 0.9/69.7 ¡ 0.6 mmHg). For the total sample, the correlation between the ambulatory BP change on day 1 vs. day 2 over 24, waking, and sleeping hours ranged from 0.37–0.61; among women, the correlation was 0.38–0.71, and among men, it was 0.24–0.52. Among women, the ambulatory systolic/diastolic BP change was greater by 3.1 ¡1.0/2.4 ¡0.8 mmHg over 24 hours and by 3.0 ¡1.1/2.4 ¡0.8 mmHg over waking hours on day 1 than on day 2. The diastolic ambulatory BP change during sleeping hours was greater by 2.2¡0.9 mmHg on day 1 than on day 2, but the systolic ambulatory BP change during sleeping hours on days 1 and 2 did not differ. Among men, the ambulatory BP change on days 1 and 2 did not differ. CONCLUSION: Our primary findings were that the ambulatory BP change from the initial values was moderately reproducible; however, it was more reproducible in men than in women. These results suggest that women, but not men, may experience an alerting reaction to initially wearing the ambulatory BP monito

Non-Equilibrium Pressure Control of the Height of a Large-Scale, Ground-Coupled, Rotating Fluid Column

When a ground-coupled, rotating fluid column is modeled incorporating non-equilibrium pressure forces in the Navier-Stokes equations, a new exact solution results. The solution has been obtained in a similar manner to the classical equilibrium solution. Unlike the infinite-height, classical solution, the non-equilibrium pressure solution yields a ground-coupled rotating fluid column of finite height. A viscous, non-equilibrium Rankine vortex velocity distribution, developed previously, was used to demonstrate how the viscous and non-equilibrium pressure gradient forces, arising in the vicinity of the velocity gradient discontinuity that is present in the classical Rankine vortex model, effectively isolate the rotating central fluid column from the outer potential vortex region. Thus, the non-equilibrium region acts to confine and shield the central, rigid-body-like, rotating fluid core, justifying this examination of how such a rotating fluid column can interact with the ground. The resulting non-equilibrium ground-coupled, rotating fluid column solution was employed to estimate the central column heights of three well-documented dust devils, and the central column height predictions were consistent with published dust devil height statistics. © 2013 AIP Publishing LLC

Interview with Oscar Lee Gunckel, Calvin H, Keyser, Lila Grace Ash and Margaret Flint

An interview with Oscar Lee Gunckel, Calvin H, Keyser, Lila Grace Ash and Margaret Flint containing various stories and songs native to Western Kansas. 00:00:30 - Early personal history and family life in Rush County, KS 00:04:52 - Father\u27s country store in Lacrosse 00:09:29 - Rattle snakes 00:11:32 - Prairie chickens 00:12:32 - Jack rabbits 00:13:51 - Seeing the first train 00:14:47 - Schooling 00:16:41 - Literaries 00:17:21 - Prairie fires in Rush County 00:20:31 - County seat fight between Lacrosse and Rush Center, KS 00:23:32 - Ice for summers 00:27:47 - Train trip to Colorado 00:32:12 - Harmonica music 00:33:09 - Harmonica music, Skip to my Lou 00:33:50 - Harmonica music, untitled 00:34:36 - Harmonica music, Swanee River 00:35:19 - Harmonica music, Irish Washer Woman 00:35:59 - Harmonica music, No Place Like Home 00:36:69 - Harmonica music, untitled 00:37:20 - Harmonica music, untitled 00:38:10 - Song, Hot Time in the Old Town Tonight 00:38:51 - Song, Once I Had a Charming Beau 00:39:29 - Song, A Village in Sunny Tennessee 00:41:20 - Song, Two Little Girls in Blue 00:42:32 - Song, The Battle of Bull Run 00:43:10 - Joke, Green apples 00:43:47 - Story, Origins of butter 00:44:27 - Story, Little girl from Missouri 00:45:31 - Story, Indiana Mosquitos 00:45:49 - Joke, Kissing Grandma 00:46:07 - Joke, The carpenter 00:46:45 - Introduction, Calvin H. Keyser 00:47:15 - Poem, Romance of a Red Ear 00:48:55 - Introduction, Lila Grace Ash 00:49:19 - Song, I kissed my girl while riding 00:49:52 - Song, Little girls are made of sugar and spice 00:50:25 - Song, You Don\u27t Know Nellie Like I Do 00:50:35 - Introduction, Margaret Flint 00:50:43 - Song, Children\u27s Rain Song 00:51:07 - Song, Froggy Ain\u27t Got No Tail But Hardly 00:51:46 - Song, In the Evening By The Moonlight 00:53:10 - Song, The King\u27s Hash 00:53:43 - Song, Little Red Caboose 00:54:01 - Lila I. Ash, story, Big George and Little George 00:56:22 - Story, An English lady in Barber County 00:57:02 - Story, Big George 00:57:33 - Story, Carrie Nation in Barber County 00:58:23 - Story, Sockless Jerry Simpson 00:58:56 - Song, Barbara Allen 01:02:30 - Song, Way Out West in Kansas 01:03:22 - Joke Recipes, Bear meat, mint julep, 01:04:18 - Margaret Flint, story, the farmer who needs a new mule The recording cuts off and side two is losthttps://scholars.fhsu.edu/sackett/1034/thumbnail.jp

Biostatistics, Epidemiology & Research Design (BERD)

This seminar describes the Biostatistics, Epidemiology, and Research Design component of the UMCCTS, including the Quantitative Methods Core (QMC). An overview of the new Department of Quantitative Health Sciences is also presented

Trajectories of objectively measured physical activity in free-living older men.

BACKGROUND: The steep decline in physical activity (PA) among the oldest old is not well understood; there is little information about the patterns of change in PA and sedentary behaviour (SB) in older people. Longitudinal data on objectively measured PA data can give insights about how PA and SB change with age. METHODS: Men age 70-90 yr, from a United Kingdom population-based cohort wore a GT3X accelerometer over the hip annually on up to three occasions (56%, 50%, and 51% response rates) spanning 2 yr. Multilevel models were used to estimate change in activity. Men were grouped according to achieving ≥150 min·wk of MVPA in bouts of ≥10 min (current guidelines) at two or three time points. RESULTS: A total of 1419 ambulatory men had ≥600 min wear time on ≥3 d at ≥2 time points. At baseline, men took 4806 steps per day and spent 72.5% of their day in SB, 23.1% in light PA, and 4.1% in moderate-to-vigorous PA (MVPA). Mean change per year was -341 steps, +1.1% SB, -0.7% light PA, and -0.4% MVPA each day (all P 30 min increased from 5.1 by 0.1 per year (P = 0.02). CONCLUSIONS: Among older adults, the steep decline in total PA occurred because of reductions in MVPA, while light PA is relatively spared and sedentary time and long sedentary bouts increase

The mass of the neutron star in Vela X-1 and tidally induced non-radial oscillations in GP Vel

We report new radial velocity observations of GP Vel/HD77581, the optical companion to the eclipsing X-ray pulsar Vela X-1. Using data spanning more than two complete orbits of the system, we detect evidence for tidally induced non-radial oscillations on the surface of GP Vel, apparent as peaks in the power spectrum of the residuals to the radial velocity curve fit. By removing the effect of these oscillations (to first order) and binning the radial velocities, we have determined the semi-amplitude of the radial velocity curve of GP Vel to be K_o=22.6+/-1.5 km/s. Given the accurately measured semi-amplitude of the pulsar's orbit, the mass ratio of the system is 0.081+/-0.005. We are able to set upper and lower limits on the masses of the component stars as follows. Assuming GP Vel fills its Roche lobe then the inclination angle of the system, i=70.1+/-2.6 deg. In this case we obtain the masses of the two stars as M_x=2.27 +/-0.17 M_sun for the neutron star and M_o=27.9+/-1.3 M_sun for GP Vel. Conversely, assuming the inclination angle is i=90 deg, the ratio of the radius of GP Vel to the radius of its Roche lobe is beta=0.89+/-0.03 and the masses of the two stars are M_x=1.88+/-0.13 M_sun and M_o=23.1+/-0.2 M_sun. A range of solutions between these two sets of limits is also possible, corresponding to other combinations of i and beta. In addition, we note that if the zero phase of the radial velocity curve is allowed as a free parameter, rather than constrained by the X-ray ephemeris, a significantly improved fit is obtained with an amplitude of 21.2+/-0.7 km/s and a phase shift of 0.033+/-0.007 in true anomaly. The apparent shift in the zero phase of the radial velocity curve may indicate the presence of an additional radial velocity component at the orbital period.Comment: Accepted for publication in Astronomy & Astrophysic