We assume that Eve and Bob are connected to Alice with additive white Gaussian noise, and their noises are correlated. We mathematically formulate the correlation between their noises, and optimize Eve’s strategy. We give a necessarily and sufficient condition to generate the agreed secure key between Alice and Bob even with the Eve’s optimal strategy. Further, in this setting, we give a concre...

Advanced manufacturing and new energy systems are presenting a wide variety of challenges for nondestructive testing and evaluation (NDT/NDE). This paper discusses the state of the art, needs and opportunities for NDE to provide reliable, effective and economic inspection and monitoring for energy systems. It introduces issues of materials, defects and allowables, the evolution of advanced NDT ...

We consider a generalization of the PDB homomorphism abstractions to what is called “structural patterns”. The basic idea is in abstracting the problem in hand into provably tractable fragments of optimal planning, alleviating by that the constraint of PDBs to use projections of only low dimensionality. We introduce a general framework for additive structural patterns based on decomposing the p...

A theory of additive Markov chains with long-range memory is used to describe the correlation properties of coarse-grained literary texts. The complex structure of the correlations in the texts is revealed. Anti-persistent correlations at small distances, L approximately < 300, and persistent ones at L approximately > 300 define this non-trivial structure. For some concrete examples of literary...

We consider an infinite-dimensional dynamical system with polynomial nonlinearity and additive noise given by a finite number of Wiener processes. By studying how randomness is spread by the system we develop a counterpart of Hörmander’s classical theory in this setting. We study the distributions of finite-dimensional projections of the solutions and give conditions that provide existence and ...

To comply with recent international trends and initiatives, and in order to help achieve sustainable development, Korea has established a greenhouse gas (GHG) emission reduction target of 37% (851 million tons) of the business as usual (BAU) rate by 2030. Regarding environmentally-oriented standards such as the IGCC (International Green Construction Code), there are also rising demands for the ...

Different extensions of an isomorphism theorem of Dynkin are developed and are used to study two distinct but related families of functionals of Lévy processes; n-fold “near-intersections” of a single Lévy process and continuous additive functionals of several independent Lévy processes. Intersection local times for n independent Lévy processes are also studied. They are related to both of the ...

In this study, nanoindentation was conducted to extract the load-displacement behaviour and the nanomechanical properties of asphalt concrete across the mastic, matrix, and aggregate phases. Further, the performance of hydrated lime as an additive was assessed across the three phases. The hydrated lime containing samples have greater resistance to deformation in the mastic and matrix phases, in...

Additive cyclic codes over Galois rings were investigated in [3]. In this paper, we investigate the same problem but over a more general ring family, finite commutative chain rings. When we focus on non-Galois finite commutative chain rings, we observe two different kinds of additivity. One of them is a natural generalization of the study in [3], whereas the other one has some unusual propertie...