Browsing by Subject "Harnack inequality"

Now showing items 1-4 of 4

    • Article  

      Centered densities on Lie groups of polynomial volume growth 

      Alexopoulos, Georgios K. (2002)
      We study the asymptotic behavior of the convolution powers φ*n =φ*φ*⋯φ* of a centered density φ on a connected Lie group G of polynomial volume growth. The main tool is a Harnack inequality which is proved by using ideas ...
    • Article  

      Heat Kernel Estimates and the Essential Spectrum on Weighted Manifolds 

      Charalambous, N.; Lu, Z. (2013)
      We consider a complete noncompact smooth Riemannian manifold M with a weighted measure and the associated drifting Laplacian. We demonstrate that whenever the q-Bakry–Émery Ricci tensor on M is bounded below, then we can ...
    • Article  

      Random walks on discrete groups of polynomial volume growth 

      Alexopoulos, Georgios K. (2002)
      Let μ be a probability measure with finite support on a discrete group Γ of polynomial volume growth. The main purpose of this paper is to study the asymptotic behavior of the convolution powers μ*n μ. If μ is centered, ...
    • Article  

      Sub-Laplacians with drift on Lie groups of polynomial volume growth 

      Alexopoulos, Georgios K. (2002)
      We prove a parabolic Harnack inequality for a centered sub-Laplacian L on a connected Lie group G of polynomial volume growth by using ideas from Homogenisation theory and by adapting the method of Krylov and Safonov. We ...