This paper investigates the syncretism exhibited by the Korean verbal suffix -eci. In addition to its widely known appearance in the passive construction, -eci can also be used to derive verbs expressing potentiality. In this paper, I show that two independently motivated theoretical tools — (i) the articulated verbal structure with root, verbalizer, and Voice; and (ii) the assumption that morphological identity signifies the morpheme's realization of an identical syntactic head — accurately explain the passive-potential syncretism in Korean. Specifically, I argue that -eci realizes a syntactic head that the passive and potential structures have in common: vGO, the verbalizer marking the eventuality of ‘change’. I attribute the systematic morpho-syntactic and semantic contrasts between passives and potentials to the (non)existence of VoicePASS, the projection introducing an implicit external argument. The analysis successfully captures the properties of the other constructions formed upon -eci — namely, derived change-of-state and lexical inchoative predicates.

Let $X_t^\sharp$ be a multivariate process of the form $X_t =Y_t - Z_t$ , $X_0=x$ , killed at some terminal time T, where $Y_t$ is a Markov process having only jumps of length smaller than $\delta$ , and $Z_t$ is a compound Poisson process with jumps of length bigger than $\delta$ , for some fixed $\delta>0$ . Under the assumptions that the summands in $Z_t$ are subexponential, we investigate the asymptotic behaviour of the potential function $u(x)= \mathbb{E}^x \int_0^\infty \ell\big(X_s^\sharp\big)ds$ . The case of heavy-tailed entries in $Z_t$ corresponds to the case of ‘big claims’ in insurance models and is of practical interest. The main approach is based on the fact that u(x) satisfies a certain renewal equation.

This article examines the narratives of 24 knowledge workers aged 48–58 as they anticipate their future employment and employability. The term knowledge worker is used to indicate occupational roles such as software engineer, academic, architect, manager and lawyer, where work involves non-routine problem-solving using ‘intellectual assets’. Four narrative patterns about future employment are presented: winding down, reorienting ‘self’ away from work, seeking progression and renewal. These patterns reveal contrasting self-evaluations of employability and potential. We argue that employability is not a straightforward function of human capital, which usually refers to experience, knowledge and qualifications. We show through our data how judgements about a person's employability – both self-evaluations as well as evaluations by others – are complicated by social norms and cultural understandings of ‘potential’. Strategies to signal one's potential become more complex and sometimes less effective for older knowledge workers. We contend that a person's age influences others’ evaluations of their employment potential, such that the relationship between attributed merit (based largely on past experience) and attributed potential (based on assumptions about a person's future) is inverted as workers become older. The findings have implications for public policies such as ‘Extending Working Lives’. Policies that remove legal and institutional barriers to extended working lives may be only partially successful without changes to cultural attitudes about older workers’ employment potential.

Explicit solutions are rarely available for water wave scattering problems. An analytical procedure is presented here to solve the boundary value problem associated with wave scattering by a complete vertical porous barrier with two gaps in it. The original problem is decomposed into four problems involving vertical solid barriers. The decomposed problems are solved analytically by using a weakly singular integral equation. Explicit expressions are obtained for the scattering amplitudes and numerical results are presented. The results obtained can be used as a benchmark for other wave scattering problems involving complex geometrical structures.

Comparing the healing experiences reported by members of indigenous dream groups such as the Senoi of Malaysia and others to those reported by members of American grassroots dream appreciation groups, and considering the views of previous researchers who have studied these groups, it is seen that there are many aspects of dream sharing in the community that have potential healing capacities. There are critics who claim that the lack of a professional group leader will put group members at risk. But problems can be avoided with proper communication, education, and appropriate dream group leadership. The experience of healing by dream sharing in community is qualitatively unique depending on the cultural context and worldview. There are many forms of dream sharing and healing that have been reported by those who have shared dreams in various world communities. In Western societies lack of interest, fear, and safety concerns have influenced the paucity of dream sharing. Many forms of dreamwork in groups have included both healing and education as potential goals. There is room for new ideas to be implemented and built upon that could creatively help nourish those parts of the world that are suffering from social and cultural dream-impoverishment.

This paper is concerned with the Cauchy problem for a nonlinear Schrödinger equation with a harmonic potential and exponential growth nonlinearity in two space dimensions. In the defocusing case, global well-posedness is obtained. In the focusing case, existence of nonglobal solutions is discussed via potential-well arguments.

This paper is concerned with the methods of mathematical modeling of thesocio-economicdevelopment of regions. The objective of this study is to analyze and assess thesocio-economicpotential of the territory having regard to its individual socio-economic andeconomic-geographicalcharacteristics. The territory's individual characteristics, in turn, aretreated as invariantconditions of its development. The study territory includes regions and federaldistricts of theRussian Federation.
An assessment of the regions' development potential is made from the perspectiveof analyzingtheir current socio-economic situation for the time interval 1999-2002 takenfrom official statisticalhandbooks. To accomplish this, a special-purpose mathematical model is developedin the formof a hierarchical fractal indicative function relating the generalized indicatorcharacterizing theregions' development potential, or the “indicated” (that which is indicatedversus indicator), to theparticular socio-economic characteristics of the territory, or the developmentindicators of the localeconomy, via the model coefficients which is termed regulators.
As a result, the economic-mathematical model is generated in the form of anindicative functioncharacterizing the current socio-economic situation of the regions and federaldistricts of Russiaon different levels of economic organization (from local and regional tonational). It reflects appropriatelyand dramatically the specific character of the region's socio-economic potentialby theexample of the connection of investments with the volumes of production. Themodel permitsthe position of the regions and districts to be identified in the system ofinter-regional and nationalsocio-economic links and economic-geographical conditions of development. Theresultsderived from modeling the socio-economic development potential of Russia'sregions have beenused to construct the control surface of the country's economy characterizingthe changes in the development potential of the federal districts toward itsdecrease.

Consider a continuous-time Markov chain evolving in a random environment. We study certain forms of interaction between the process of interest and the environmental process, under which the stationary joint distribution is tractable. Moreover, we obtain necessary and sufficient conditions for a product-form stationary distribution. A number of examples that illustrate the applicability of our results in queueing and population growth models are also included.

In this paper we consider the optimal control of an infinite dam using policies assuming that the input process is a compound Poisson process with a non-negative drift term, and using the total discounted cost and long-run average cost criteria. The results of Lee and Ahn (1998) as well as other well-known results are shown to follow from our results.

Let M, N be Riemannian manifolds, f: M → N a harmonic map with potential H, namely, a smooth critical point of the functional EH(f) = ∫M[e(f)−H(f)], where e(f) is the energy density of f. Some results concerning the stability of these maps between spheres and any Riemannian manifold are given. For a general class of M, this paper also gives a result on the constant boundary-value problem which generalizes the result of Karcher-Wood even in the case of the usual harmonic maps. It can also be applied to the static Landau-Lifshitz equations.

We study singularities of solutions of the heat equation, that are not necessarily isolated but occur only in a single characteristic hyperplane. We prove a decomposition theorem for certain solutions on D+ = D ∩ (Rn × ]0. ∞[), for a suitable open set D, with singularities at compact subset K of Rn × {0}, in terms of Gauss-Weierstrass integrals. We use this to prove a representation theorem for certain solutions on D+, with singularities at K, as the sums of potentials and Dirichlet solutions. We also give conditions under which K is removable for solutions on D∖K.