An understanding of bimetallic alloy oxidation is key to the design of hollow-structured binary oxides and the optimization of their catalytic performance. However, one roadblock encountered in studying these binary oxide systems is the difficulty in describing the heterogeneities that occur in both structure and chemistry as a function of reaction coordinate. This is due to the complexity of t...

We give an elementary short proof for a well-known theorem of Guibas and Odlyzko stating that the sets of periods of words are independent of the alphabet size. As a consequence of our constructing proof, we give a linear time algorithm which, given a word, computes a binary one with the same periods. We give also a very short proof for the famous Fine and Wilf's periodicity lemma.

The combination of density-functional theory (DFT) calculations of geometrically fully relaxed binary alloy surfaces with concepts from statistical physics is applied to construct a DFT-based phase diagram for a binary alloy surface. As a first example, we studied the appearance of Co antisite atoms at CoAl(100) surfaces. The structural parameters as multilayer relaxations, surface buckling, la...

1 This paper is dedicated to my colleague and friend Alexandru Mateescu, the first author of Parikh matrix mapping.

Shape memory alloy offer an interesting solution, using the shape transformation of the wire/structure in the moment of applying a thermal type transformation able to offer the martensitic temperature. In order to assure an efficient control of SMA actuator applied to inverted pendulum, a mathematical model and numerical simulation of the resulting model is required. Due a particular possibilit...

The paper proposes a solution to the problem of finding an unspecified binary sequence of known length, using an oracle. Three oracles are defined and used in construction of linear algorithms, with the aim of finding an unknown word α. These algoritms build α by by generating all its prefixes, knowing a specified subword, or using a distance defined on sequences of the same length.

I review some of the theory[1–4] behind microstructure formation in the phase separation of binary alloys, in particular how compositional changes in a material can be affected by elastic properties of the alloy. This is done by considering a Landau-Ginzburg theory of binary alloy with an elastic interaction and solving for the elastic interactions. I also describe how finite sized confined gra...