158 research outputs found
Nonlocal Harnack inequalities in the Heisenberg group
No full textWe deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group~\mathds{H}^n, whose prototype is the Dirichlet problem for the -fractional subLaplace equation.
These problems arise in many different contexts in quantum mechanics, in ferromagnetic analysis, in phase transition problems, in image segmentations models, and so on, when non-Euclidean geometry frameworks and nonlocal long-range interactions do naturally occur.
\\ We prove general Harnack inequalities for the related weak solutions. Also,
in the case when the growth exponent is , we investigate the asymptotic behavior of the fractional subLaplacian operator, and the robustness of the aforementioned Harnack estimates as the differentiability exponent goes to
Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group
No full textWe extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian operator on the Heisenberg-Weyl group Hn. Among other results, we prove that the weak solutions to such a class of problems are bounded and Hölder continuous, by also establishing general estimates as fractional Caccioppoli-type estimates with tail and logarithmic-type estimates
TOPAZ0 2.0: a Program for Computing Deconvoluted and Realistic Observables around the Peak
No full textThe program {\tt TOPAZ0} is designed for computing Z^0 parameters, de-convoluted and QED-dressed cross sections and forward-backward asymmetries of e^+ e^- annihilation into fermion pairs and of Bhabha scattering around the Z^0 peak, over both a completely inclusive experimental set-up and a realistic one, i.e. with cuts on acollinearity, energy or invariant mass and angular acceptance of the outgoing fermions. The new version, 2.0, offers the possibility of imposing different experimental cuts on cross sections and forward-backward asymmetries in a single run, and includes radiative corrections whose effect can become relevant in view of the present and foreseen experimental accuracy. Moreover, an additional option is included, which allows an estimate of the theoretical uncertainty due to unknown higher-order effects, both of electroweak and QCD origin. With respect to the version 1.0, the code is available in the form of {\tt SUBROUTINE}, in order to render more viable the use of the program for aims not planned by the {\tt TOPAZ0} package itself.The program {\tt TOPAZ0} is designed for computing parameters, de-convoluted and QED-dressed cross sections and forward-backward asymmetries of annihilation into fermion pairs and of Bhabha scattering around the peak, over both a completely inclusive experimental set-up and a realistic one, i.e. with cuts on acollinearity, energy or invariant mass and angular acceptance of the outgoing fermions. The new version, 2.0, offers the possibility of imposing different experimental cuts on cross sections and forward-backward asymmetries in a single run, and includes radiative corrections whose effect can become relevant in view of the present and foreseen experimental accuracy. Moreover, an additional option is included, which allows an estimate of the theoretical uncertainty due to unknown higher-order effects, both of electroweak and QCD origin. With respect to the version 1.0, the code is available in the form of {\tt SUBROUTINE}, in order to render more viable the use of the program for aims not planned by the {\tt TOPAZ0} package itself
Tyrosine phosphorylation of band3 protein and membrane vesiculation of human erythrocytes
No full textTOPAZ0 4.0 - A new version of a computer program for evaluation of deconvoluted and realistic observables at LEP 1 and LEP 2
No full textDescription of the theoretical improvements included in the version 4.0 of the fitting code TOPAZ0, used at LEP for the indirect determination of the Standard Model parameters from radiative corrections
TOPAZ0 - A program for computing observables and for fitting cross-sections and forward-backward asymmetries around the Z(0) peak
No full textDescription of the code TOPAZ0 used at LEP for the indirect determination of the Standard Model parameters and the analysis of the electroweak precision data
On a semianalytical and realistic approach to e+e- annihilation into fermion pairs and to Bhabha scattering within the minimal Standard Model at LEP energies
No full textTheoretical formulation of the e+e- annihilation processes around the Z resonance, underlying the fitting program TOPAZ0 used by LEP collaborations and the LEP electroweak working group
Ca++-induced biochemical changes in human erythrocytes and their relation to membrane vesiculation
No full textThe top quark and the Higgs-boson masses from LEP, SLC and CDF data
No full textAbstract: The impact of the new experimental data from LEP, SLC and CDF on the top quark mass and the Higgs boson mass is investigated. The determinations of m_{top} and of an upper bound on m_{Higgs} are given, taking into account the experimental error on the QED coupling constant \alpha_{em} and on the b-quark mass m_b. The relevance of higher order theoretical uncertainties is pointed out. briefly reviewed
Semi-analytical and Monte Carlo results for the production of four fermions in e+e- collisions
No full textIn view of the forthcoming experiments at high energy e^+ e^- colliders, LEP2 and beyond, the process e^+ e^- \to W^+ W^- \to 4f has been investigated for {\it off-shell} W's. After deriving the matrix element for the process within the helicity amplitude formalism, QED radiative corrections to the initial state leptons have been included at the leading logarithmic level in the framework of the electron structure functions. Cross sections and distributions are computed by means of both a semi-analytical and a Monte Carlo code, allowing for several cuts of experimental interest. A Monte Carlo event generator has also been built, for simulation purposes. Some illustrative numerical results are included and shortly described
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