Title: Graph sampling by lagged Metropolis-Hastings walk Abstract: We develop lagged Metropolis-Hastings walk (LMHW) in simple undirected graphs, where the transition to the next state (i.e....
Title: Sharp Lower Bounds for the Vector Allen-Cahn Energy and Qualitative Properties of Minimizers Abstract: We study minimizers Uε of J(U)=Integral over Ω of (ε|grad U| + (1/ε)W(U))dx, W>0...