5,537 research outputs found
Integrating Hasse-Schmidt derivations
We study integrating (that is expanding to a Hasse-Schmidt derivation)
derivations, and more generally truncated Hasse-Schmidt derivations, satisfying
iterativity conditions given by formal group laws. Our results concern the
cases of the additive and the multiplicative group laws. We generalize a
theorem of Matsumura about integrating nilpotent derivations (such a
generalization is implicit in work of Ziegler) and we also generalize a theorem
of Tyc about integrating idempotent derivations
Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation
We propose a method for computation of stable and unstable sets associated to
hyperbolic equilibria of nonautonomous ODEs and for computation of specific
type of connecting orbits in nonautonomous singular ODEs. We apply the method
to a certain a singular nonautonomous real Ginzburg-Landau type equation, which
that arises from the problem of formation of spots in the Swift-Hohenberg
equation.Comment: 36 pages, 6 figure
Existentially closed fields with G-derivations
We prove that the theories of fields with Hasse-Schmidt derivations
corresponding to actions of formal groups admit model companions. We also give
geometric axiomatizations of these model companions.Comment: In version 2: new proof of (the current) Proposition 3.3
The random interchange process on the hypercube
We prove the occurrence of a phase transition accompanied by the emergence of
cycles of diverging lengths in the random interchange process on the hypercube.Comment: 8 page
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics
We present a gluing construction which adds, via a localized deformation,
exactly Delaunay ends to generic metrics with constant positive scalar
curvature. This provides time-symmetric initial data sets for the vacuum
Einstein equations with positive cosmological constant with exactly
Kottler-Schwarzschild-de Sitter ends, extending the results in arXiv:0710.3365
[gr-qc].Comment: 7 page
Variable Flavor Number Scheme for Final State Jets
We discuss a variable flavor number scheme (VFNS) for final state jets which
can account for the effects of arbitrary finite quark masses in inclusive jet
observables. The scheme is a generalization of the VFNS scheme for PDFs applied
to setups with additional dynamical scales and relies on appropriate
renormalization conditions for the matrix elements in the factorization
theorem. We illustrate general properties by means of the example of
deep-inelastic scattering (DIS) in the endpoint region and
event shapes in the dijet limit, in particular the calculations of threshold
corrections, consistency conditions and relations to mass singularities found
in fixed-order massive calculations.Comment: 7 pages, 4 figures, Proceedings of the XXII. International Workshop
on Deep-Inelastic Scattering and Related Subjects, 28 April - 2 May 2014,
Warsaw, Polan
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