922 research outputs found
Rivalry, Exclusion and Coalitions
Coalition formation, exclusion contest, tragedy of the commons
Chez Hans A La Carte Menu 2017
Fine dining restaurant in a converted Victorian Gothic church, with a daily changing European menu.https://arrow.tudublin.ie/menus21c/1328/thumbnail.jp
Application of Portfolio Management Theory: Managing the US Air Force Acquisition Portfolio
Student research poste
Chez Hans Dessert Menu 2017
Fine dining restaurant in a converted Victorian Gothic church, with a daily changing European menu.https://arrow.tudublin.ie/menus21c/1329/thumbnail.jp
Chez Hans Weekday Menu 2017
Fine dining restaurant in a converted Victorian Gothic church, with a daily changing European menu.https://arrow.tudublin.ie/menus21c/1331/thumbnail.jp
Chez Hans A La Carte Dessert Menu 2017
Fine dining restaurant in a converted Victorian Gothic church, with a daily changing European menu.https://arrow.tudublin.ie/menus21c/1327/thumbnail.jp
Chez Hans Group Menu 2017
Fine dining restaurant in a converted Victorian Gothic church, with a daily changing European menu.https://arrow.tudublin.ie/menus21c/1330/thumbnail.jp
Entanglement Entropy and Full Counting Statistics for -Rotating Trapped Fermions
We consider non-interacting fermions in a harmonic potential of
trapping frequency and in a rotating frame at angular frequency
, with . At zero temperature, the fermions
are in the non-degenerate lowest Landau level and their positions are in one to
one correspondence with the eigenvalues of an complex Ginibre
matrix. For large , the fermion density is uniform over the disk of radius
centered at the origin and vanishes outside this disk. We compute
exactly, for any finite , the R\'enyi entanglement entropy of order ,
, as well as the cumulants of order , ,
of the number of fermions in a disk of radius centered at the origin.
For , in the (extended) bulk, i.e., for , we show
that is proportional to the number variance ,
despite the non-Gaussian fluctuations of . This relation breaks down at
the edge of the fermion density, for , where we show
analytically that and have a different
-dependence.Comment: 6 pages + 7 pages (Supplementary material), 2 Figure
Extremes of Coulomb gas: universal intermediate deviation regime
In this paper, we study the extreme statistics in the complex Ginibre
ensemble of random matrices with complex Gaussian entries, but
with no other symmetries. All the eigenvalues are complex random variables
and their joint distribution can be interpreted as a Coulomb gas with a
logarithmic repulsion between any pair of particles and in presence of a
confining harmonic potential . We study the statistics of the
eigenvalue with the largest modulus in the complex plane. The
typical and large fluctuations of around its mean had been studied
before, and they match smoothly to the right of the mean. However, it remained
a puzzle to understand why the large and typical fluctuations to the left of
the mean did not match. In this paper, we show that there is indeed an
intermediate fluctuation regime that interpolates smoothly between the large
and the typical fluctuations to the left of the mean. Moreover, we compute
explicitly this "intermediate deviation function" (IDF) and show that it is
universal, i.e. independent of the confining potential as long as it is
spherically symmetric and increases faster than for large with an
unbounded support. If the confining potential has a finite support, i.e.
becomes infinite beyond a finite radius, we show via explicit computation that
the corresponding IDF is different. Interestingly, in the borderline case where
the confining potential grows very slowly as for
with an unbounded support, the intermediate regime disappears and there is a
smooth matching between the central part and the left large deviation regime.Comment: 36 pages, 7 figure
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