ABSTRACT Supermassive black holes (SMBHs) are a key catalyst of galaxy formation and evolution, leading to an observed correlation between SMBH mass MBH host velocity dispersion σe. Outside the local Universe, measurements usually only possible for SMBHs in active state: limiting sample size introducing selection biases. Gravitational lensing makes it measure non-active SMBHs. We present models...

We prove that the large scale behavior of a class stochastic weakly nonlinear reaction-diffusion models on \(\mathbb {R}^{3}\) converges to dynamical \({{\Phi }^{4}_{3}}\) model using paracontrolled distributions weighted Besov spaces. Our approach depends delicate choice weight, localization operator technique and modified version maximum principle from Gubinelli Hofmanová (Commun. Math. Phys....

*Department of Biochemistry and Molecular Biophysics, College of Physicians and Surgeons, Columbia University, New York, NY 10032; †Institute of Cancer Research, College of Physicians and Surgeons, Columbia University, New York, NY 10032; §Molecular Control and Genetics Section, Gene Regulation and Chromosome Biology, National Cancer Institute, National Institutes of Health, Frederick, MD 21702...

Department of Biochemistry, Molecular Biology and Cell Biology, and Center for Reproductive Science, Northwestern University (A.D.B., K.E.M.), Evanston, Illinois 60208; Reproductive Endocrine Unit, Massachusetts General Hospital, Harvard Medical School (A.M.), Boston, Massachusetts 02114; and Molecular Mechanisms in Development Group, Laboratory of Protein Dynamics and Signaling, Center for Can...

Fish Ecology and Conservation Physiology Laboratory, Department of Biology and Institute of Environmental Science, Carleton University, 1125 Colonel By Drive, Ottawa, ON, Canada K1S 5B6 Department of Research, Conservation and Collections, Desert Botanical Garden, 1201 North Galvin Parkway, Phoenix, AZ 85008, USA ARC Centre for Excellence for Coral Reef Studies, James Cook University, Townsvill...

Accuracy of measurements is defined as the sum of precision (standard deviation) and bias. Unfortunately, this definition is of little use unless bias is independently assessed. In this article, we extend this classical definition of accuracy of measurements to one of estimators obtained through data reconciliation techniques. Connection to gross error robustness measures, defined earlier by th...

This research was supported by the Netherlands Mathematical Research Foundation SWON with nancial aid from the Netherlands Organization for Scienti c Research NWO. We determine the solutions in integers of the equation y = (x + p)(x + p) for p = 167, 223, 337, 1201. The method used was suggested to us by Yu. Bilu, and is shown to be in some cases more efficient than other general purpose method...

1 Institut de Ciències del Mar CSIC, Pg. Marítim de la Barceloneta 37-49, Barcelona, Spain. E-mail: [email protected] 2 Consortium for Oceanographic Research and Education, 1201 New York Avenue, Washington, DC 20005, USA. 3 Universitat Politècnica de Catalunya, Jordi Girona, 1-3, 08034 Barcelona, Spain. 4 Naval Research Laboratory, Stennis Space Center, 39529, MS, USA. 5 Servicio de Hidrogra...

a College of Business Administration, University of Texas-Pan American, 1201 W. University Dr., Edinburg, TX 78539, United States b School of Business, University of Wisconsin-Milwaukee, 3202 N. Maryland Ave., Milwaukee, WI 53201, United States c Neeley School of Business, Texas Christian University, TCU Box 298530, Fort Worth, TX 76129, United States d Luiss Guido Carli University, Department ...

Making sense of uncertainty: Advantages and disadvantages of providing an evaluative structure Nathan F. Dieckmann Decision Research, Eugene, Oregon Ellen Peters Department of Psychology, Ohio State University, Columbus, Ohio Robin Gregory Decision Research, Eugene, Oregon Martin Tusler Department of Psychology, Ohio State University, Columbus, Ohio Correspondence concerning this article should...