In this article, we obtain a non-uniform version of Hrushovski's generalization the Lang-Weil estimates using ℓ-adic methods and without recourse to alterations. Our method also implies that associated generating function is rational. Along way bound for local terms class non-proper correspondence which could be independent interest.

2D materials are elastic substancesthat can sustain high strain. While the response of these to spatially uniform strain is well studied, effects non-uniform understood much less. In this review, we examine two different materials, transition metal dichalcogenides and graphene, under First, analyze pseudo-magnetic fields formed in graphene subjected highly localized Second, discuss effect on ex...