We asymptotically analyse the volume-random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most of the limit laws are Gaussian.

We consider a matrix model with d matrices N × N and show that in the limit N → ∞ and d → 0 the model describes the knot diagrams. The same limit in matrix string theory is also discussed. We speculate that a prototypical M(atrix) without matrix theory exists in void.

We investigate N = 2 supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to N = 2 superconformal field theories. Using the equations of topological-anti-topological fusion for the topological orbifold, we compute the generalized Dynkin diagrams of these theories i.e., the soliton spectrum which was used in the classification of massive superconformal t...

The article focuses on the effect of alloying and microstructure formability advanced high strength steels (AHSSs) processed via quenching partitioning (Q&P). Three different Q&P with combination elements volume fraction retained austenite are subjected to uniaxial tensile Nakajima testing. Tensile mechanical properties determined, forming limit diagrams (FLDs) plotted. Microstructure tested sa...