Strong mixing measures for linear operators and frequent hypercyclicity

We construct strongly mixing invariant measures with full support for operators on F-spaces which satisfy the Frequent Hypercyclicity Criterion. For unilateral backward shifts on sequence spaces, a slight modification shows that one can even obtain exact invariant measures. (c) 2012 Elsevier Inc. All rights reserved.This work was supported in part by MEC and FEDER, Project MTM2010-14909, and by CV, Project PROMETEO/2008/101. The first author was also supported by a grant from the FPU Program of MEC. We thank the referee whose detailed report led to an improvement in the presentation of this work.Murillo Arcila, M.; Peris Manguillot, A. (2013). Strong mixing measures for linear operators and frequent hypercyclicity. Journal of Mathematical Analysis and Applications. 398(2):462-465. https://doi.org/10.1016/j.jmaa.2012.08.050S462465398

Topological properties of punctual Hilbert schemes of almost-complex fourfolds (I)

In this article, we study topological properties of Voisin's punctual Hilbert schemes of an almost-complex fourfold $X$. In this setting, we compute their Betti numbers and construct Nakajima operators. We also define tautological bundles associated with any complex bundle on $X$, which are shown to be canonical in $K$-theory

Summary report of the Standards, Options and Recommendations for the management of patients with non-small-cell lung carcinoma (2000)

SCOPUS: ar.jinfo:eu-repo/semantics/publishe

Long-term survival of cancer patients compared to heart failure and stroke: A systematic review

<p>Abstract</p> <p>Background</p> <p>Cancer, heart failure and stroke are among the most common causes of death worldwide. Investigation of the prognostic impact of each disease is important, especially for a better understanding of competing risks. Aim of this study is to provide an overview of long term survival of cancer, heart failure and stroke patients based on the results of large population- and hospital-based studies.</p> <p>Methods</p> <p>Records for our study were identified by searches of Medline via Pubmed. We focused on observed and relative age- and sex-adjusted 5-year survival rates for cancer in general and for the four most common malignancies in developed countries, i.e. lung, breast, prostate and colorectal cancer, as well as for heart failure and stroke.</p> <p>Results</p> <p>Twenty studies were identified and included for analysis. Five-year observed survival was about 43% for all cancer entities, 40-68% for stroke and 26-52% for heart failure. Five-year age and sex adjusted relative survival was 50-57% for all cancer entities, about 50% for stroke and about 62% for heart failure. In regard to the four most common malignancies in developed countries 5-year relative survival was 12-18% for lung cancer, 73-89% for breast cancer, 50-99% for prostate cancer and about 43-63% for colorectal cancer. Trend analysis revealed a survival improvement over the last decades.</p> <p>Conclusions</p> <p>The results indicate that long term survival and prognosis of cancer is not necessarily worse than that of heart failure and stroke. However, a comparison of the prognostic impact of the different diseases is limited, corroborating the necessity for further systematic investigation of competing risks.</p

Recurrence of paraneoplastic membranous glomerulonephritis following chemoradiation in a man with non-small-cell lung carcinoma

Membranous glomerulonephritis can occur as a rare paraneoplastic complication of human cancers. In this case report, we describe a patient who presented acutely with symptoms of the nephrotic syndrome including heavy proteinuria and anasarca. He was subsequently diagnosed with membranous glomerulonephritis, and soon afterwards was found to have stage IIIB non-small cell lung cancer. Following chemoradiation therapy, both the patient’s cancer and membranous glomerulonephritis dramatically improved. However, approximately 14 months following his initial presentation, the patient was found to have a recurrence of his nephrotic-range proteinuria which corresponded temporally with recurrence of his cancer. We present details of the case and a review of the relevant scientific literature