147 research outputs found
Elementary amenable subgroups of R. Thompson's group F
The subgroup structure of Thompson's group F is not yet fully understood. The
group F is a subgroup of the group PL(I) of orientation preserving, piecewise
linear self homeomorphisms of the unit interval and this larger group thus also
has a poorly understood subgroup structure. It is reasonable to guess that F is
the "only" subgroup of PL(I) that is not elementary amenable. In this paper, we
explore the complexity of the elementary amenable subgroups of F in an attempt
to understand the boundary between the elementary amenable subgroups and the
non-elementary amenable. We construct an example of an elementary amenable
subgroup up to class (height) omega squared, where omega is the first infinite
ordinal.Comment: 20 page
Nickel-Catalyzed Asymmetric Reductive Cross-Coupling of a-Chloroesters with (Hetero)Aryl Iodides
An asymmetric reductive cross-coupling of alpha-chloroesters and (hetero)aryl iodides is reported. This nickel-catalyzed reaction proceeds with a chiral BiOX ligand under mild conditions, affording alpha-arylesters in good yields and enantioselectivities. The reaction is tolerant of a variety of functional groups, and the resulting products can be converted to pharmaceutically-relevant chiral building blocks. A multivariate linear regression model was developed to quantitatively relate the influence of the alpha-chloroester substrate and ligand on enantioselectivity
The chameleon groups of Richard J. Thompson: automorphisms and dynamics
The automorphism groups of several of Thompson's countable groups of
piecewise linear homeomorphisms of the line and circle are computed and it is
shown that the outer automorphism groups of these groups are relatively small.
These results can be interpreted as stability results for certain structures of
PL functions on the circle. Machinery is developed to relate the structures on
the circle to corresponding structures on the line
The Atacama Cosmology Telescope: Extragalactic Sources at 148 GHz in the 2008 Survey
We report on extragalactic sources detected in a 455 square-degree map of the
southern sky made with data at a frequency of 148 GHz from the Atacama
Cosmology Telescope 2008 observing season. We provide a catalog of 157 sources
with flux densities spanning two orders of magnitude: from 15 to 1500 mJy.
Comparison to other catalogs shows that 98% of the ACT detections correspond to
sources detected at lower radio frequencies. Three of the sources appear to be
associated with the brightest cluster galaxies of low redshift X-ray selected
galaxy clusters. Estimates of the radio to mm-wave spectral indices and
differential counts of the sources further bolster the hypothesis that they are
nearly all radio sources, and that their emission is not dominated by
re-emission from warm dust. In a bright (>50 mJy) 148 GHz-selected sample with
complete cross-identifications from the Australia Telescope 20 GHz survey, we
observe an average steepening of the spectra between 5, 20, and 148 GHz with
median spectral indices of , , and . When the
measured spectral indices are taken into account, the 148 GHz differential
source counts are consistent with previous measurements at 30 GHz in the
context of a source count model dominated by radio sources. Extrapolating with
an appropriately rescaled model for the radio source counts, the Poisson
contribution to the spatial power spectrum from synchrotron-dominated sources
with flux density less than 20 mJy is C^{\rm Sync} = (2.8 \pm 0.3) \times
10^{-6} \micro\kelvin^2.Comment: Accepted to Ap
Control and systems software for the Cosmology Large Angular Scale Surveyor (CLASS)
The Cosmology Large Angular Scale Surveyor (CLASS) is an array of
polarization-sensitive millimeter wave telescopes that observes ~70% of the sky
at frequency bands centered near 40GHz, 90GHz, 150GHz, and 220GHz from the
Atacama desert of northern Chile. Here, we describe the architecture of the
software used to control the telescopes, acquire data from the various
instruments, schedule observations, monitor the status of the instruments and
observations, create archival data packages, and transfer data packages to
North America for analysis. The computer and network architecture of the CLASS
observing site is also briefly discussed. This software and architecture has
been in use since 2016, operating the telescopes day and night throughout the
year, and has proven successful in fulfilling its design goals.Comment: 19 pages, 8 figures, to appear in Proc. SPI
CLASS Observations of Atmospheric Cloud Polarization at Millimeter Wavelengths
The dynamic atmosphere imposes challenges to ground-based cosmic microwave
background observation, especially for measurements on large angular scales.
The hydrometeors in the atmosphere, mostly in the form of clouds, scatter the
ambient thermal radiation and are known to be the main linearly polarized
source in the atmosphere. This scattering-induced polarization is significantly
enhanced for ice clouds due to the alignment of ice crystals under gravity,
which are also the most common clouds seen at the millimeter-astronomy sites at
high altitudes. This work presents a multifrequency study of cloud polarization
observed by the Cosmology Large Angular Scale Surveyor (CLASS) experiment on
Cerro Toco in the Atacama Desert of northern Chile, from 2016 to 2022, at the
frequency bands centered around 40, 90, 150, and 220 GHz. Using a
machine-learning-assisted cloud classifier, we made connections between the
transient polarized emission found in all four frequencies with the clouds
imaged by monitoring cameras at the observing site. The polarization angles of
the cloud events are found to be mostly from the local meridian,
which is consistent with the presence of horizontally aligned ice crystals. The
90 and 150 GHz polarization data are consistent with a power law with a
spectral index of , while an excess/deficit of polarization
amplitude is found at 40/220 GHz compared with a Rayleigh scattering spectrum.
These results are consistent with Rayleigh-scattering-dominated cloud
polarization, with possible effects from supercooled water absorption and/or
Mie scattering from a population of large cloud particles that contribute to
the 220 GHz polarization.Comment: 16 pages, 14 figures, submitted to Ap
CLASS Angular Power Spectra and Map-Component Analysis for 40 GHz Observations through 2022
Measurement of the largest angular scale () features of the cosmic
microwave background (CMB) polarization is a powerful way to constrain the
optical depth to reionization, , and search for the signature of
inflation through the detection of primordial -modes. We present an analysis
of maps covering nearly 75% of the sky made from the ground-based
channel of the Cosmology Large Angular Scale Surveyor
(CLASS) from August 2016 to May 2022. Using fast front-end polarization
modulation from the Atacama Desert in Chile, we show this channel achieves
higher sensitivity than the analogous frequencies from satellite measurements
in the range . After a final calibration adjustment, noise
simulations show the CLASS linear (circular) polarization maps have a white
noise level of . We measure the
Galaxy-masked and spectra of diffuse synchrotron radiation and
compare to space-based measurements at similar frequencies. In combination with
external data, we expand measurements of the spatial variations of the
synchrotron spectral energy density (SED) to include new regions of the sky and
measure the faint diffuse SED in the harmonic domain. We place a new upper
limit on a background of circular polarization in the range
with the first bin showing at 95%
confidence. These results establish a new standard for recovery of the
largest-scale CMB polarization from the ground and signal exciting
possibilities when the higher sensitivity and higher frequency CLASS channels
are included in the analysis.Comment: 36 pages, 24 figures, 6 tables. Submitted to The Astrophysical
Journa
Two Year Cosmology Large Angular Scale Surveyor (CLASS) Observations: Long Timescale Stability Achieved with a Front-End Variable-delay Polarization Modulator at 40 GHz
The Cosmology Large Angular Scale Surveyor (CLASS) is a four-telescope array
observing the largest angular scales () of the
cosmic microwave background (CMB) polarization. These scales encode information
about reionization and inflation during the early universe. The instrument
stability necessary to observe these angular scales from the ground is achieved
through the use of a variable-delay polarization modulator (VPM) as the first
optical element in each of the CLASS telescopes. Here we develop a demodulation
scheme used to extract the polarization timestreams from the CLASS data and
apply this method to selected data from the first two years of observations by
the 40 GHz CLASS telescope. These timestreams are used to measure the
noise and temperature-to-polarization () leakage present in the
CLASS data. We find a median knee frequency for the pair-differenced
demodulated linear polarization of 15.12 mHz and a leakage of
(95\% confidence) across the focal plane. We examine the
sources of noise present in the data and find the component of due
to atmospheric precipitable water vapor (PWV) has an amplitude of for 1 mm of PWV when evaluated at 10 mHz;
accounting for of the noise in the central pixels of the focal
plane. The low level of leakage and noise achieved
through the use of a front-end polarization modulator enables the observation
of the largest scales of the CMB polarization from the ground by the CLASS
telescopes.Comment: Submitted to Ap
- …