3,392 research outputs found
Robust Separation:A search for a generic framework to simplify registration and trading of interests in natural resources
This report is about the search for an economically efficient and equitable system of defining, allocating, and managing use of natural resources that proves to be robust. Robust in the sense that the fundamental principles and foundations upon which it is based remains unchanged over time. We focus on the notion of “interests” in natural resources, and obligations associated with use. We search for a generic robust approach to the definition of interests, rights and use obligations that sits comfortably within an economically efficient trading system. Pricing and charging issues and the question of how to convert from existing systems to the proposed one are left for subsequent reports.audit;Australia;natural resource management
Robust Reform: Implementing robust institutional arrangements to achieve efficient water use in Australia
The focus of this report is on implementing institutional arrangements for the efficient allocation and management of water. Water is an input into human use including economic production and recreation activities that generate many externalities. It also provides many valuable ecosystem services only partially captured in the market. Institutional arrangements are required that are dynamically efficient and low cost, and robust enough to withstand the test of time. Robust administrative arrangements are characterised by the lack of a need for change.water reform;institutional;trading;Australia
Trace Identities for the Topological Vertex
The topological vertex is a universal series which can be regarded as an
object in combinatorics, representation theory, geometry, or physics. It
encodes the combinatorics of 3D partitions, the action of vertex operators on
Fock space, the Donaldson-Thomas theory of toric Calabi-Yau threefolds, or the
open string partition function of .
We prove several identities in which a sum over terms involving the
topological vertex is expressed as a closed formula, often a product of simple
terms, closely related to Fourier expansions of Jacobi forms. We use purely
combinatorial and representation theoretic methods to prove our formulas, but
we discuss applications to the Donaldson-Thomas invariants of elliptically
fibered Calabi-Yau threefolds at the end of the paper.Comment: 21 pages. Published versio
Managing Change: Australian structural adjustment lessons for water
The purpose of this report is to search Australia's extensive experience in running and reviewing structural adjustment programs for insights of relevance to water reform.Water;Australia;Water reform;structural adjustment;rural;agricultural;policy.
Carath\'eodory extremal functions on the symmetrized bidisc
We show how realization theory can be used to find the solutions of the
Carath\'eodory extremal problem on the symmetrized bidisc We show that,
generically, solutions are unique up to composition with automorphisms of the
disc. We also obtain formulae for large classes of extremal functions for the
Carath\'eodory problems for tangents of non-generic types.Comment: 24 pages, 1 figure. This version contains some minor changes. It is
to appear in a volume of Operator Theory: Advamces and Applications,
Birkhause
Nevanlinna representations in several variables
We generalize two integral representation formulae of Nevanlinna to functions
of several variables. We show that for a large class of analytic functions that
have non-negative imaginary part on the upper polyhalfplane there are
representation formulae in terms of densely defined self-adjoint operators on a
Hilbert space. We introduce three types of structured resolvent of a
self-adjoint operator and identify four different types of representation in
terms of these resolvents. We relate the types of representation that a
function admits to its growth at infinity.Comment: 37 pages. In this version we have added some references and expanded
the introductio
The boundary Carath\'{e}odory-Fej\'{e}r interpolation problem
We give an elementary proof of a solvability criterion for the {\em boundary
Carath\'{e}odory-Fej\'{e}r problem}: given a point and, a finite set
of target values, to construct a function in the Pick class such that the
first few derivatives of take on the prescribed target values at . We
also derive a linear fractional parametrization of the set of solutions of the
interpolation problem. The proofs are based on a reduction method due to Julia
and Nevanlinna.Comment: 30 pages. We have slightly improved the presentatio
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