We consider the Gamma limit of the Abelian Chern-SimonsHiggs energy

We study the asymptotic behaviour in terms of Γ-convergence of the following one dimensional energy

In this paper, we consider the derivation of the modified Wenzel’s and Cassie’s equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel’s and Cassie’s equations for the apparent contact angles on the rough s...

We investigate, using the framework of Γ-convergence, a phase-field model proposed in [Torabi et al, Proc. R. Soc. A, 2009] for strongly anisotropic systems; in particular, we prove a full Γ-convergence result for an anisotropic Modica-Mortolatype energy.

We exhibit a canonical geometric pairing of the simple closed curves of the degree three cover of the modular surface, Γ\H , with the proper single self-intersecting geodesics of Crisp and Moran. This leads to a pairing of fundamental domains for Γ with Markoff triples. The routes of the simple closed geodesics are directly related to the above. We give two parametrizations of these. Combining ...

Let Γ=(V,E) be a simple connected graph. A vertex is said to recognize (resolve) two different elements b1 and b2 from V(Γ)∪E(Γ) if d(a,b1)≠d(a,b2}. subset of distinct ordered vertices UM⊆V(Γ) mixed metric generator for Γ each pair V∪E are recognized by some element UM. The with minimum number called basis Γ. Then, the cardinality this dimension Γ, denoted mdim(Γ). concept studying chemical str...

We characterize the macroscopic effective mechanical behavior of a graphene sheet modeled by a hexagonal lattice of elastic bars, using Γ-convergence.

We introduce new definitions of convergence, based on adding stability criteria to Γ-convergence, that are suitable in many cases for studying convergence of local minimizers.

We study the Γ-convergence of the power-law functionals