The goal of this article is to study compact quasi-Einstein manifolds with boundary. We provide boundary estimates for similar previous results obtained static and V-static spaces. In addition, we show that connected satisfying a suitable pinching condition must be isometric, up scaling, the standard hemisphere S + n $\mathbb {S}_{+}^{n}$ .

We investigate the global fluctuations of solutions to elliptic equations with random coefficients in the discrete setting. In dimension d ⩾ 3 and for i.i.d. coefficients, we show that after a suitable scaling, these fluctuations converge to a Gaussian field that locally resembles a (generalized) Gaussian free field. The paper begins with a heuristic derivation of the result, which can be read ...

Online privacy is a growing concern in today’s world. To alleviate privacy concerns, we present an automatic face swapping algorithm that searches and selects faces within an image and replaces them with another face with realistic results. Our algorithm identifies and uses the most suitable faces using a selection process, face extraction using optimal seam search, and blending using linear RG...

Introduction The diagnosis and separation of cancerous tumors in medical images require accuracy, experience, and time, and it has always posed itself as a major challenge to the radiologists and physicians. Materials and Methods We Received 290 medical images composed of 120 mammographic images, LJPEG format, scanned in gray-scale with 50 microns size, 110 MRI images including of T1-Wighted, T...

We present results from the simulation of a two-coupling spin-1 model with states 0,±1 and nearest neighbour interaction. By a suitable choice of couplings we are able to drastically reduce the effects of corrections to scaling. Our estimates for the critical exponents are ν = 0.6299(3) and η = 0.0359(10). For the universal ratio Q = 〈m〉/〈m〉 we obtain Q = 0.6240(2). The universal ratio of parti...

The QCD phase diagram at finite temperature and density is a topic of considerable interest. Although much progress has been made in recent years, some open questions remain. Even at zero density, the order of the transition for two light flavors of fermions has not yet been conclusively established. While considerable evidence exists in favor of a second-order transition for massless quarks an...

Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general insight, a lattice formulation of the QCD Schrödinger functional is proposed for the case where the lattice Dirac operator in the bulk of the lattice coinci...