34,942 research outputs found
A new family of maximal curves
In this article we construct for any prime power and odd , a new
-maximal curve . Like the Garcia--G\"
uneri--Stichtenoth maximal curves, our curves generalize the
Giulietti--Korchm\'aros maximal curve, though in a different way. We compute
the full automorphism group of , yielding that it has precisely
automorphisms. Further, we show that unless , the curve
is not a Galois subcover of the Hermitian curve. Finally, we
find new values of the genus spectrum of -maximal curves,
by considering some Galois subcovers of
Weierstrass semigroups on the Giulietti-Korchm\'aros curve
In this article we explicitly determine the structure of the Weierstrass
semigroups for any point of the Giulietti-Korchm\'aros curve
. We show that as the point varies, exactly three possibilities
arise: One for the -rational points (already known in the
literature), one for the -rational
points, and one for all remaining points. As a result, we prove a conjecture
concerning the structure of in case is an -rational point. As a corollary we also obtain that
the set of Weierstrass points of is exactly its set of
-rational points
Muintir na Tire Seeks Funding for Rural Sociology in 1960s Ireland
working paperMuintir na Tire’s role in the emergence of the discipline of Sociology in Ireland is
usually acknowledged with reference to the Limerick Rural Survey (1958-64) that it
initiated, part-funded and published. In the first half of the 1960s the movement also
put proposals to the Irish government and sought US foundation grants for a centre or
institute that would operate in the field of rural sociology and form part of Muintir na
Tire’s organisational structure. Although Taoiseach Sean Lemass was positively
disposed towards these initatives, opposition from the Departments of Agriculture,
Education and Finance prevailed against them and Muintir na Tire was ultimately to
find itself completely excluded from participation in the state-resourced institutional
arrangements for carrying out social/sociological research in Ireland
Heat maximal function on a Lie group of exponential growth
Let G be the Lie group R^2\rtimes R^+ endowed with the Riemannian symmetric
space structure. Let X_0, X_1, X_2 be a distinguished basis of left-invariant
vector fields of the Lie algebra of G and define the Laplacian
\Delta=-(X_0^2+X_1^2+X_2^2). In this paper, we show that the maximal function
associated with the heat kernel of the Laplacian \Delta is bounded from the
Hardy space H^1 to L^1. We also prove that the heat maximal function does not
provide a maximal characterization of the Hardy space H^1.Comment: 18 page
Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of exponential growth
Let be the Lie group given by the semidirect product of and
endowed with the Riemannian symmetric space structure. Let be a
distinguished basis of left-invariant vector fields of the Lie algebra of
and define the Laplacian . In this paper we
consider the first order Riesz transforms and
, for . We prove that the operators , but
not the , are bounded from the Hardy space to . We also show
that the second order Riesz transforms are bounded
from to , while the Riesz transforms and
are not.Comment: This paper will be published in the "Annales de l'Institut Fourier
Public Perception of Risk Management in Environmental Controversies: A U.K. Case Study
Drs. Simosi and Allen focus on issues arising from an environmental dispute in the U.K. Their case study findings are discussed in the context of existing environmental decision-making procedures in the U.K
Evidence of Evidence as Higher Order Evidence
In everyday life and in science we acquire evidence of evidence and based on this new evidence we often change our epistemic states. An assumption underlying such practice is that the following EEE Slogan is correct: 'evidence of evidence is evidence' (Feldman 2007, p. 208). We suggest that evidence of evidence is best understood as higher-order evidence about the epistemic state of agents. In order to model evidence of evidence we introduce a new powerful framework for modelling epistemic states, Dyadic Bayesianism. Based on this framework, we then discuss characterizations of evidence of evidence and argue for one of them. Finally, we show that whether the EEE Slogan holds, depends on the specific kind of evidence of evidence
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