92,072 research outputs found
Unifying approach for fluctuation theorems from joint probability distributions
Any decomposition of the total trajectory entropy production for Markovian
systems has a joint probability distribution satisfying a generalized detailed
fluctuation theorem, when all the contributing terms are odd with respect to
time reversal. The expression of the result does not bring into play dual
probability distributions, hence easing potential applications. We show that
several fluctuation theorems for perturbed non-equilibrium steady states are
unified and arise as particular cases of this general result. In particular, we
show that the joint probability distribution of the system and reservoir
trajectory entropies satisfy a detailed fluctuation theorem valid for all times
although each contribution does not do it separately
Moduli spaces of holomorphic triples over compact Riemann surfaces
A holomorphic triple over a compact Riemann surface consists of two
holomorphic vector bundles and a holomorphic map between them. After fixing the
topological types of the bundles and a real parameter, there exist moduli
spaces of stable holomorphic triples. In this paper we study non-emptiness,
irreducibility, smoothness, and birational descriptions of these moduli spaces
for a certain range of the parameter. Our results have important applications
to the study of the moduli space of representations of the fundamental group of
the surface into unitary Lie groups of indefinite signature, which we explore
in a companion paper "Surface group representations in PU(p,q) and Higgs
bundles". Another application, that we study in this paper, is to the existence
of stable bundles on the product of the surface by the complex projective line.
This paper, and its companion mentioned above, form a substantially revised
version of math.AG/0206012.Comment: 44 pages. v2: minor clarifications and corrections, to appear in
Math. Annale
Convergent sequences of perturbative approximations for the anharmonic oscillator II. Compact time approach
We present an alternative pathway in the application of the variation
improvement of ordinary perturbation theory exposed in [1] which can preserve
the internal symmetries of a model by means of a time compactification.Comment: 21 pages, 4 Postscript figures available through anonymous ftp at
ftp://algol.lpm.univ-montp2.fr ; replaces version which could not be
postscripted presumably for lack of figures.uu fil
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