5,723 research outputs found
Airline Liability for Loss, Damage or Delay of Passenger Baggage
The article discusses remedies and methods of enforcing airline liability for loss, damage or delay of passenger baggage. The article includes a discussion of the law as it relates both to domestic flights and to international flights where passenger luggage is lost, damaged or delayed. The article includes a discussion of the Warsaw Convention as it relates to international flights and of the Federal Aviation Regulations applicable in the case of domestic flights
Book Review: Sovereignty, Statehood and Self-Determination: A Review of Claims to Statehood in International Law
To tour the world while examining the various claims to sovereignty over virtually every inch, one may read Nil Lante Wallace-Bruce\u27s book, Claims to Statehood in International Law. His book is a fascinating excursion through the four worlds. Although the origin of the terminology is obscure,\u27 the term First World clearly refers to capitalist countries historically belonging to NATO and the Organization for Economic Cooperation and Development (OECD). The term Second World refers to the former Soviet Bloc. The term Third World refers to everything else, and has come to mean economically developing countries.2 More recently, the term Fourth World was coined to refer to indigenous populations whose lands and cultures are engulfed by countries of the First, Second and Third Worlds. Dr. Wallace-Bruce\u27s short book differs from the leading book on the subject of statehood in that his book consists primarily of case studies with particular emphasis on recent difficult cases
Book Review: Sovereignty, Statehood and Self-Determination: A Review of Claims to Statehood in International Law
To tour the world while examining the various claims to sovereignty over virtually every inch, one may read Nil Lante Wallace-Bruce\u27s book, Claims to Statehood in International Law. His book is a fascinating excursion through the four worlds. Although the origin of the terminology is obscure,\u27 the term First World clearly refers to capitalist countries historically belonging to NATO and the Organization for Economic Cooperation and Development (OECD). The term Second World refers to the former Soviet Bloc. The term Third World refers to everything else, and has come to mean economically developing countries.2 More recently, the term Fourth World was coined to refer to indigenous populations whose lands and cultures are engulfed by countries of the First, Second and Third Worlds. Dr. Wallace-Bruce\u27s short book differs from the leading book on the subject of statehood in that his book consists primarily of case studies with particular emphasis on recent difficult cases
A Classification of Minimal Sets of Torus Homeomorphisms
We provide a classification of minimal sets of homeomorphisms of the
two-torus, in terms of the structure of their complement. We show that this
structure is exactly one of the following types: (1) a disjoint union of
topological disks, or (2) a disjoint union of essential annuli and topological
disks, or (3) a disjoint union of one doubly essential component and bounded
topological disks. Periodic bounded disks can only occur in type 3. This result
provides a framework for more detailed investigations, and additional
information on the torus homeomorphism allows to draw further conclusions. In
the non-wandering case, the classification can be significantly strengthened
and we obtain that a minimal set other than the whole torus is either a
periodic orbit, or the orbit of a periodic circloid, or the extension of a
Cantor set. Further special cases are given by torus homeomorphisms homotopic
to an Anosov, in which types 1 and 2 cannot occur, and the same holds for
homeomorphisms homotopic to the identity with a rotation set which has
non-empty interior. If a non-wandering torus homeomorphism has a unique and
totally irrational rotation vector, then any minimal set other than the whole
torus has to be the extension of a Cantor set.Comment: Published in Mathematische Zeitschrift, June 2013, Volume 274, Issue
1-2, pp 405-42
Efficient algorithms for tensor scaling, quantum marginals and moment polytopes
We present a polynomial time algorithm to approximately scale tensors of any
format to arbitrary prescribed marginals (whenever possible). This unifies and
generalizes a sequence of past works on matrix, operator and tensor scaling.
Our algorithm provides an efficient weak membership oracle for the associated
moment polytopes, an important family of implicitly-defined convex polytopes
with exponentially many facets and a wide range of applications. These include
the entanglement polytopes from quantum information theory (in particular, we
obtain an efficient solution to the notorious one-body quantum marginal
problem) and the Kronecker polytopes from representation theory (which capture
the asymptotic support of Kronecker coefficients). Our algorithm can be applied
to succinct descriptions of the input tensor whenever the marginals can be
efficiently computed, as in the important case of matrix product states or
tensor-train decompositions, widely used in computational physics and numerical
mathematics.
We strengthen and generalize the alternating minimization approach of
previous papers by introducing the theory of highest weight vectors from
representation theory into the numerical optimization framework. We show that
highest weight vectors are natural potential functions for scaling algorithms
and prove new bounds on their evaluations to obtain polynomial-time
convergence. Our techniques are general and we believe that they will be
instrumental to obtain efficient algorithms for moment polytopes beyond the
ones consider here, and more broadly, for other optimization problems
possessing natural symmetries
The impact of space and space-related activities on a local economy. a case study of boulder, colorado. part ii- the income-product accounts
Total impact of space and space related activities on local economy of Boulder, Colorado - income-product account
Topological Entropy of Braids on the Torus
A fast method is presented for computing the topological entropy of braids on
the torus. This work is motivated by the need to analyze large braids when
studying two-dimensional flows via the braiding of a large number of particle
trajectories. Our approach is a generalization of Moussafir's technique for
braids on the sphere. Previous methods for computing topological entropies
include the Bestvina--Handel train-track algorithm and matrix representations
of the braid group. However, the Bestvina--Handel algorithm quickly becomes
computationally intractable for large braid words, and matrix methods give only
lower bounds, which are often poor for large braids. Our method is
computationally fast and appears to give exponential convergence towards the
exact entropy. As an illustration we apply our approach to the braiding of both
periodic and aperiodic trajectories in the sine flow. The efficiency of the
method allows us to explore how much extra information about flow entropy is
encoded in the braid as the number of trajectories becomes large.Comment: 19 pages, 44 figures. SIAM journal styl
Returns to Hedge Fund Activism: An International Study
This paper provides evidence on the incidence, characteristics, and performance of activist engagements across countries. We find that the incidence of activism is greatest with high institutional ownership, particularly for U.S. institutions. We use a sample of 1,740 activist engagements across 23 countries and find that almost one-quarter of engagements are by multi-activists engaging the same target. These engagements perform strikingly better than single activist engagements. Engagement outcomes, such as board changes and takeovers, vary across countries and significantly contribute to the returns to activism. Japan is an exception, with high initial expectations and low outcomes
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