1,104,925 research outputs found
Intersections in genus 3 and the Boussinesq hierarchy
In this note we prove that the enlarged Witten's conjecture is true in the
case of the Boussinesq hierarchy for correlators in genus 3 with descendants
only at one point
The Toda hierarchy and the KdV hierarchy
The Toda hierarchy of size is well known to be analogous to the KdV
hierarchy at goes to infinity. This paper shows that given a periodic
function, there is a canonical way of defining the initial data for the Toda
lattice equations so that the evolution of this data under the Toda lattice
hierarchy looks asymptotically like the evolution of under the KdV
hierarchy. Further, the conserved quantities of and those of the Toda
hierarchy match.Comment: AMSTe
The need for an early anti-neutrino run of NOvA
The moderately large value of \ty, measured recently by reactor
experiments, is very welcome news for the future neutrino experiments. In
particular, the \nova experiment, with 3 years each of and \anu runs,
will be able to determine the mass hierarchy if one of the following two
favourable combinations is true: normal hierarchy with -180^\circ \leq \dcp
\leq 0 or inverted hierarchy with 0\leq \dcp \leq 180^\circ. In this report,
we study the hierarchy reach of the first 3 years of \nova data. Since \sin^2
2 \tz is measured to be non-maximal, \tz can be either in the lower or
higher octant. Pure data is affected by \ty-hierarchy and
octant-hierarchy degeneracies, which limit the hierarchy sensitivity of such
data. A combination of and \anu data is not subject to these
degeneracies and hence has much better hierarchy discrimination capability. We
find that, with a 3 year run, hierarchy determination is possible for
only two of the four octant-hierarchy combinations. Equal 1.5 year runs in
and \anu modes give good hierarchy sensitivity for all the four
combinations
The ILW hierarchy
In this paper, we present a new hierarchy which includes the intermediate
long wave (ILW) equation at the lowest order. This hierarchy is thought to be a
novel reduction of the 1st modified KP type hierarchy. The framework of our
investigation is Sato theory.Comment: 8 pages, LaTeX2
Hierarchy from Baryogenesis
We study a recently proposed mechanism to solve the hierarchy problem in the
context of the landscape, where the solution of the hierarchy problem is
connected to the requirement of having baryons in our universe via Electroweak
Baryogenesis. The phase transition is triggered by the fermion condensation of
a new gauge sector which becomes strong at a scale Lambda determined by
dimensional transmutation, and it is mediated to the standard model by a new
singlet field. In a ``friendly'' neighborhood of the landscape, where only the
relevant operators are ``scanned'' among the vacua, baryogenesis is effective
only if the higgs mass m_h is comparable to this low scale Lambda, forcing m_h
to be of order Lambda, and solving the hierarchy problem. A new CP violating
phase is needed coupling the new singlet and the higgs field to new matter
fields. We study the constraints on this model given by baryogenesis and by the
electron electric dipole moment (EDM), and we briefly comment on gauge coupling
unification and on dark matter relic abundance. We find that next generation
experiments on the EDM will be sensitive to essentially the entire viable
region of the parameter space, so that absence of a signal would effectively
rule out the model.Comment: 28 pages, 4 figures. v2: Added comments and references. Corrected one
typo in eq.(81). Conclusions unaltere
Inclusive Cognitive Hierarchy
Cognitive hierarchy theory, a collection of structural models of non-equilibrium thinking, in which players' best responses rely on heterogeneous beliefs on others' strategies including naive behavior, proved powerful in explaining observations from a wide range of games. We introduce an inclusive cognitive hierarchy model, in which players do not rule out the possibility of facing opponents at their own thinking level. Our theoretical results show that inclusiveness is crucial for asymptotic properties of
deviations from equilibrium behavior in expansive games. We show that the limiting behaviors are categorized in three distinct types: naive, Savage rational with inconsistent
beliefs, and sophisticated. We test the model in a laboratory experiment of collective decision-making. The data suggests that inclusiveness is indispensable with regard to explanatory power of the models of hierarchical thinking.Series: Department of Strategy and Innovation Working Paper Serie
Anarchy and Hierarchy
We advocate a new approach to study models of fermion masses and mixings,
namely anarchy proposed in hep-ph/9911341. In this approach, we scan the O(1)
coefficients randomly. We argue that this is the correct approach when the
fundamental theory is sufficiently complicated. Assuming there is no physical
distinction among three generations of neutrinos, the probability distributions
in MNS mixing angles can be predicted independent of the choice of the measure.
This is because the mixing angles are distributed according to the Haar measure
of the Lie groups whose elements diagonalize the mass matrices. The
near-maximal mixings, as observed in the atmospheric neutrino data and as
required in the LMA solution to the solar neutrino problem, are highly
probable. A small hierarchy between the Delta m^2 for the atmospheric and the
solar neutrinos is obtained very easily; the complex seesaw case gives a
hierarchy of a factor of 20 as the most probable one, even though this
conclusion is more measure-dependent. U_{e3} has to be just below the current
limit from the CHOOZ experiment. The CP-violating parameter sin delta is
preferred to be maximal. We present a simple SU(5)-like extension of anarchy to
the charged-lepton and quark sectors which works well phenomenologically.Comment: 26 page
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