47 research outputs found
Highly transitive actions of free products
We characterize free products admitting a faithful and highly transitive
action. In particular, we show that the group \PSL_2(\Z)\simeq
(\Z/2\Z)*(\Z/3\Z) admits a faithful and highly transitive action on a
countable set.Comment: 15 pages, 4 figures, Minor change
Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property
We show that the class of amalgamated free products of two free groups over a
cyclic subgroup admits amenable, faithful and transitive actions on infinite
countable sets. This work generalizes the results on such actions for doubles
of free group on 2 generators.Comment: 14 pages, 1 figur
High transitivity for more groups acting on trees
We establish a new sharp sufficient condition for groups acting on trees to
be highly transitive. This give new examples of highly transitive groups,
including icc non-solvable Baumslag-Solitar groups, thus answering a question
of Hull and Osin.Comment: Version 2 : correction of a mistake in an example from section 8.3
and general improvement of section 8.
Homogeneous actions on the Random Graph
We show that any free product of two (non-trivial) countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of HNN extensions or free products, amalgamated over a finite group, admit such an action and we extend our results to groups acting on trees. Finally, we show the ubiquity of finitely generated free dense subgroups of the automorphism group of the Random Graph whose action on it have all orbits infinite
Cyr61 Expression is associated with prognosis in patients with colorectal cancer
BACKGROUND: Cysteine-rich 61 (Cyr61), a member of the CCN protein family, possesses diverse functionality in cellular processes such as adhesion, migration, proliferation, and survival. Cyr61 can also function as an oncogene or a tumour suppressor, depending on the origin of the cancer. Only a few studies have reported Cyr61 expression in colorectal cancer. In this study, we assessed the Cyr61 expression in 251 colorectal cancers with clinical follow up. METHODS: We examined Cyr61 expression in 6 colorectal cancer cell lines (HT29, Colo205, Lovo, HCT116, SW480, SW620) and 20 sets of paired normal and colorectal cancer tissues by western blot. To validate the association of Cyr61 expression with clinicopathological parameters, we assessed Cyr61 expression using tissue microarray analysis of primary colorectal cancer by immunohistochemical analysis. RESULTS: We verified that all of the cancer cell lines expressed Cyr61; 2 cell lines (HT29 and Colo205) demonstrated Cyr61 expression to a slight extent, while 4 cell lines (Lovo, HCT116, SW480, SW620) demonstrated greater Cyr61 expression than HT29 and Colo205 cell lines. Among the 20 cases of paired normal and tumour tissues, greater Cyr61 expression was observed in 16 (80%) tumour tissues than in normal tissues. Furthermore, 157 out of 251 cases (62.5%) of colorectal cancer examined in this study displayed strong Cyr61 expression. Cyr61 expression was found to be associated with pN (p = 0.018). Moreover, Cyr61 expression was associated with statistically significant cancer-specific mortality (p = 0.029). The duration of survival was significantly lesser in patients with Cyr61 high expression than in patients with Cyr61 low expression (p = 0.001). These results suggest that Cyr61 expression plays several important roles in carcinogenesis and may also be a good prognostic marker for colorectal cancer. CONCLUSIONS: Our data confirmed that Cyr61 was expressed in colorectal cancers and the expression was correlated with worse prognosis of colorectal cancers
Pegasus-v1 Technical Report
This technical report introduces Pegasus-1, a multimodal language model
specialized in video content understanding and interaction through natural
language. Pegasus-1 is designed to address the unique challenges posed by video
data, such as interpreting spatiotemporal information, to offer nuanced video
content comprehension across various lengths. This technical report overviews
Pegasus-1's architecture, training strategies, and its performance in
benchmarks on video conversation, zero-shot video question answering, and video
summarization. We also explore qualitative characteristics of Pegasus-1 ,
demonstrating its capabilities as well as its limitations, in order to provide
readers a balanced view of its current state and its future direction
Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
Computational models are an essential tool for the design, characterization,
and discovery of novel materials. Hard computational tasks in materials science
stretch the limits of existing high-performance supercomputing centers,
consuming much of their simulation, analysis, and data resources. Quantum
computing, on the other hand, is an emerging technology with the potential to
accelerate many of the computational tasks needed for materials science. In
order to do that, the quantum technology must interact with conventional
high-performance computing in several ways: approximate results validation,
identification of hard problems, and synergies in quantum-centric
supercomputing. In this paper, we provide a perspective on how quantum-centric
supercomputing can help address critical computational problems in materials
science, the challenges to face in order to solve representative use cases, and
new suggested directions.Comment: 60 pages, 14 figures; comments welcom