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    Orlando G. Tremaine

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    An obituary for lawyer and educator Orlando G. Tremaine

    Orlando G. Tremaine

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    An obituary for lawyer and educator Orlando G. Tremaine

    Orlando G. Tremaine

    No full text
    An obituary for lawyer and educator Orlando G. Tremaine

    Hutchins, Orlando G.

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    Carte de Visite of Corporal Orlando G. Hutchins, 2nd Maine Cavalry, Company K; From the MacDonald Collectionhttps://digitalmaine.com/arc_civilwarportraits/2346/thumbnail.jp

    Hutchins, Orlando G.

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    Carte de Visite of Corporal Orlando G. Hutchins, 2nd Maine Cavalry, Company K; From the MacDonald Collectionhttps://digitalmaine.com/arc_civilwarportraits/2346/thumbnail.jp

    A discrete mathematical model for chaotic dynamics in economics: Kaldor's model on business cycle

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    This paper, following Kaldor's approach, is written with the intention of interpreting fluctuations of economic systems (i.e trade cycles). In particular, a new discretized Kaldor model is proposed, which is also useful to explain what appears to be random and unpredictable, such as economic shocks. Moreover, by using numerical analysis, the chaoticity of the model is demonstrated

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime

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    We study a multi-agent system for the modeling maritime crime. The model involves three interacting populations of ships: commercial ships, pirate ships, and coast guard ships. Commercial ships follow commercial routes, are subject to traffic congestion, and are repelled by pirate ships. Pirate ships travel stochastically, are attracted by commercial ships and repelled by coast guard ships. Coast guard ships are controlled. We prove well-posedness of the model and existence of optimal controls that minimize dangerous contacts. Then we study, in a two-step procedure, the mean-field limit as the number of commercial ships and pirate ships is large, deriving a mean-field PDE/PDE/ODE model. Via G-convergence, we study the limit of the corresponding optimal control problems

    A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1,n

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    In this paper we prove a lower semicontinuity result of Reshetnyak type for a class of functionals which appear in models for small-strain elasto-plasticity coupled with damage. To do so we characterise the limit of measures αkEuk with respect to the weak convergence αk⇀ α in W1,n(Ω) and the weak∗ convergence uk⇀ ∗ u in BD(Ω) , E denoting the symmetrised gradient. A concentration compactness argument shows that the limit has the form αEu+η, with η supported on an at most countable set
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