271 research outputs found

    Would Carbon Pricing Reduce Deforestation? Insights from illustrative simulations of GTEM augmented with a land use change and forestry module

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    This paper describes a numerical implementation of the global trade and environment model (GTEM) augmented with a new land use change and forestry module developed in Pant (2010), under some extreme assumptions. Also described are the simplifications made to the structure of the module and additional simplifying assumptions made in deriving a stylised database to calibrate the module in a way that is consistent with the overall structure of GTEM and its underlying database. The results reported in this paper are based on a stylised database and parameter values, and extreme modelling assumptions. These are for illustrative purposes only and should not be used for policy design. Preliminary simulation results indicate that a higher carbon price: (i) discourages land clearing, both legal and illegal, (ii) reduces net emissions from land use change, (iii) reallocates land mainly from livestock production to forestry activity, and (iv) encourages investment in commercial forestry more than in environmental forestry as logs from native forests become more expensive. The magnitude of these results could alter substantially under more plausible assumptions regarding the carbon policy scenarios, population and technologies involving a switch from wood to non-wood products. The purpose of this technical paper is to seek expert advice and feedback on the analytical framework from the conference participants as well as identifying the need for critical data and, thereby, encouraging the development of a more realistic forestry related database and a consistent disaggregation of the GTAP database

    A non-abelian Hom-Leibniz tensor product and applications

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    The notion of non-abelian Hom–Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal (α-)central extensions of Hom–Leibniz algebras. We also give its application to the Hochschild homology of Hom-associative algebras.The first and the second authors were supported by Ministerio de Economía y Competitividad (Spain) (European FEDER support included), [grant number MTM2016-79661-P]. The second author was also supported by Shota Rustaveli National Science Foundation, [grant number FR/189/5- 113/14]

    A Non-abelian Tensor Product of Hom–Lie Algebras

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    Non-abelian tensor product of Hom–Lie algebras is constructed and studied. This tensor product is used to describe universal ( αα )-central extensions of Hom–Lie algebras and to establish a relation between cyclic and Milnor cyclic homologies of Hom-associative algebras satisfying certain additional condition.First and second authorswere supported by Ministerio de Economìa yCompetitividad (Spain) (European FEDER support included), Grant MTM2013-43687-P. Second author was supported by Xunta de Galicia, Grants EM2013/016 and GRC2013-045 (European FEDER support included) and by Shota Rustaveli National Science Foundation, Grant DI/12/5-103/11

    Hom polytopes between simplices, cubes and cross polytopes

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    This thesis presents recent work and a new conjecture in the study of faces of hom\ud poly topes Hom(P, Q), the poly topes of affine maps between poly topes. The facets\ud of Hom(P, Q) are well-understood (at least since [1]) for arbitrary polytopes P and\ud Q, and [2] provides identities that give the complete face lattice in special cases.\ud Concurrent and in parallel with this thesis is [3], by the author and J. Gubeladze,\ud which studies vertices of hom polytopes between simplices (A), cubes (???) and cross\ud polytopes (O), and reveals some edges of Hom(D, A). This thesis covers the relevant\ud facts in [1] and [2] and summarizes the new results in [3]. Further, we make explicit\ud the implications in [3] for the edges of Hom(D, A), and give a new conjecture on\ud the complete geometric description and counting for these edges. The final chapter\ud provides computational evidence for this conjecture, as well as sample code and\ud output in Sage [4] and Polymake [5] relevant to this and continued work

    Hom polytopes between simplices, cubes and cross polytopes

    No full text
    This thesis presents recent work and a new conjecture in the study of faces of hom poly topes Hom(P, Q), the poly topes of affine maps between poly topes. The facets of Hom(P, Q) are well-understood (at least since [1]) for arbitrary polytopes P and Q, and [2] provides identities that give the complete face lattice in special cases. Concurrent and in parallel with this thesis is [3], by the author and J. Gubeladze, which studies vertices of hom polytopes between simplices (A), cubes (□) and cross polytopes (O), and reveals some edges of Hom(D, A). This thesis covers the relevant facts in [1] and [2] and summarizes the new results in [3]. Further, we make explicit the implications in [3] for the edges of Hom(D, A), and give a new conjecture on the complete geometric description and counting for these edges. The final chapter provides computational evidence for this conjecture, as well as sample code and output in Sage [4] and Polymake [5] relevant to this and continued work

    Hom complexes of set systems

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    A set system is a pair S = (V (S), Delta(S)), where Delta(S) is a family of subsets of the set V(S). We refer to the members of Delta(S) as the stable sets of S. A homomorphism between two set systems S and T is a map f : V (S) -&gt; V(T) such that the preimage under f of every stable set of T is a stable set of S. Inspired by a recent generalization due to Engstrom of Lovasz's Hom complex construction, the author associates a cell complex Hom(S, T) to any two finite set systems S and T. The main goal of the paper is to examine basic topological and homological properties of this cell complex for various pairs of set systems.</p

    Classification of fold/hom and fold/Hopf spike-adding phenomena

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    The Hindmarsh-Rose neural model is widely accepted as an important prototype for fold/hom and fold/Hopf burstings. In this paper, we are interested in the mechanisms for the production of extra spikes in a burst, and we show the whole parametric panorama in an unified way. In the fold/hom case, two types are distinguished: a continuous one, where the bursting periodic orbit goes through bifurcations but persists along the whole process and a discontinuous one, where the transition is abrupt and happens after a sequence of chaotic events. In the former case, we speak about canard-induced spike-adding and in the second one, about chaos-induced spike-adding. For fold/Hopf bursting, a single (and continuous) mechanism is distinguished. Separately, all these mechanisms are presented, to some extent, in the literature. However, our full perspective allows us to construct a spike-adding map and, more significantly, to understand the dynamics exhibited when borders are crossed, that is, transitions between types of processes, a crucial point not previously studied. © 2021 Author(s)

    A note on quasi-Lie and Hom-Lie structures of σ-derivations of C[z<sub>1</sub><sup>±1</sup>, \dots, z<sub>n</sub><sup>±1</sup>]

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    In a previous paper we studied the properties of the bracket defined by Hartwig, Larsson and the second author in (J. Algebra 295, 2006) on σ-derivations of Laurent polynomials in one variable. Here we consider the case of several variables, and emphasize on the question of when this bracket defines a hom-Lie structure rather than a quasi-Lie one.</p

    Commutative quartic P-Galois extensions over a field of characteristic 2

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    Let A/R be a ring extension and P a subset of Hom(A(R),A(R)). In his paper [5], K. Kishimoto introduced the notion of a P-Galois extension and gave several basic properties of these extensions. The author showed that these extensions are closely related to Hopf Galois extensions and the structure of quadratic or cubic P-Galois extensions over a field were given in [9] and [10]. Recently,the author classify commutative quartic P-Galois extensions over a field of characteristic not 2 in [11]. Continuing [11], we treat commutative quartic P-Galois extensions over a field of characteristic 2
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