We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi [5].

Heyam M A Sidahmed ([email protected]) Ainnul Azizan ([email protected]) Syam Mohan ([email protected]) Mahmood A Abdulla ([email protected]) Siddig I Abdelwahab ([email protected]) Manal M E Taha ([email protected]) A. Hamid A. Hadi ([email protected]) Kamal A Ketuly ([email protected]) Najihah M Hashim ([email protected]) Mun F Loke ([email protected]) Jamuna Vadivel...

Citation Subramaniam, Balachundhar, Kamal R. Khabbaz, Thomas Heldt, Adam B. Lerner, Murray A. Mittleman, Roger B. Davis, Ary L. Goldberger, and Madalena D. Costa. “Blood Pressure Variability: Can Nonlinear Dynamics Enhance Risk Assessment During Cardiovascular Surgery?” Journal of Cardiothoracic and Vascular Anesthesia 28, no. 2 (April 2014): 392–397. As Published http://dx.doi.org/10.1053/j.jv...

In this work, we first address the problem of simultaneous image segmentation and smoothing by approaching the Mumford-Shah paradigm from a curve evolution perspective. In particular, we let a set of deformable contours define the boundaries between regions in an image where we model the data via piecewise smooth functions and employ a gradient flow to evolve these contours. Each gradient step ...

Vladimir E. Manucharyan,1,2 Nicholas A. Masluk,1 Archana Kamal,1 Jens Koch,1,3 Leonid I. Glazman,1 and Michel H. Devoret1 1Departments of Physics and Applied Physics, Yale University, New Haven, Connecticut 06520, USA 2Society of Fellows, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA (Received...

By Michael Greenstone (3M Professor of Economics, Massachusetts Institute of Technology), Aparna Krishnan (Executive Director, JPAL South Asia), Rohini Pande (Mohammed Kamal Professor of Public Policy, Harvard Kennedy School), Nicholas Ryan (PhD Candidate, MIT) and Anant Sudarshan (Giorgio Ruffolo Postdoctoral Fellow in Sustainability Science, Sustainability Science Program, Harvard Kennedy Sch...

We find classical solutions of D-branes in pp-wave spacetime with nonconstant NS− NS flux. We also present Dp − Dp bound state solutions in this background. We further analyze the supersymmetric properties of these brane solutions by solving the type IIB killing spinor equations explicitly. e-mail: [email protected] email: [email protected]

The object of this paper is to provide a method of cost-benefit analysis of earthquake prediction as a means of mitigation of earthquake effects. The research in earthquake prediction may or may not be successful and involves an initial cost. Earthquake prediction, if achieved, on the one hand provides society with information which allows it to take protective measures. On the other hand, each...

Sewage sludge enhances tomato growth and improves fruit-yield quality by restoring soil fertility | Ebrahem Eid, Kamal Shaltout, Saad Alamri, Sulaiman Alrumman, Ahmed Hussain, Nasser Sewelam, Gehad Ragab Agricultural Journals

We prove that a certain series defines a constant function using Wolpert’s formula for the variation of the length of a geodesic along a Fenchel Nielsen twist. Subsequently we determine the value viewing it as function on the the Deligne Mumford compactification M1,1 and evaluating it at the stable curve at infinity. Conventions: 1. For γ an essential closed curve on a surface lγ(x) is the leng...