18,524 research outputs found
Topological SL(2) Gauge Theory on Conifold
Using a two component isospinor formalism, we study the link between
conifold and q-deformed non commutative holomorphic
geometry in complex four dimensions. Then, thinking about conifold as a
projective complex three dimension hypersurface embedded in non compact
space and using conifold local isometries, we study
topological gauge theory on and its
reductions to lower dimension sub-manifolds ,
and their real slices. Projective symmetry is also
used to build a supersymmetric QFT realization of these backgrounds.
Extensions for higher dimensions with conifold like properties are explored.
\bigskip \textbf{Key words}: Conifold, q-deformation, non commutative complex
geometry, topological gauge theory. Nambu like background.Comment: 42 page
Controllability of fractional stochastic neutral functional differential equations driven by fractional Brownian motion with infinite delay
In this paper we study the controllability of fractional neutral stochastic
functional differential equations with infinite delay driven by fractional
Brownian motion in a real separable Hilbert space.
The controllability results are obtained by using stochastic analysis and a
fixed-point strategy. Finally, an illustrative example is provided to
demonstrate the effectiveness of the theoretical result.Comment: 20 pages. arXiv admin note: substantial text overlap with
arXiv:1602.0580
Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion
This paper focuses on controllability results of stochastic delay partial
functional integro-differential equations perturbed by fractional Brownian
motion. Sufficient conditions are established using the theory of resolvent
operators combined with a fixed point approach for achieving the required
result. An example is provided to illustrate the theory.Comment: 14 page
A covariance equation
Let be a commutative semigroup with identity and let be a
compact subset in the pointwise convergence topology of the space of all
non-zero multiplicative functions on Given a continuous function and a complex regular Borel measure on
such that It is shown that for all if and only if
for some the support of
is contained is contained in . Several
applications of this characterization are derived. In particular, the reduction
of our theorem to the semigroup of non-negative integers
solves a problem posed by El Fallah, Klaja, Kellay, Mashregui and Ransford in a
more general context.
More consequences of our results are given, some of them illustrate the
probabilistic flavor behind the problem studied herein and others establish
extremal properties of analytic kernels
Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay
In this paper we study the controllability results of impulsive neutral
stochastic functional differential equations with infinite delay driven by
fractional Brownian motion in a real separable Hilbert space. The
controllability results are obtained using stochastic analysis and a
fixed-point strategy. Finally, an illustrative example is provided to
demonstrate the effectiveness of the theoretical result.Comment: 16 page
Hyperbolic Invariance in Type II Superstrings
We first review aspects of Kac Moody indefinite algebras with particular
focus on their hyperbolic subset. Then we present two field theoretical systems
where these structures appear as symmetries. The first deals with complete
classification of supersymmetric CFTs and the second
concerns the building of hyperbolic quiver gauge theories embedded in type IIB
superstring compactification of Calabi-Yau threefolds. We show, amongst others,
that CFTs are classified by Vinberg theorem and
hyperbolic structure is carried by the axion modulus.
Keywords: Classification of KM algebras, Indefinite KM sector and Hyperbolic
subset, Quiver gauge theories embedded in type II superstrings.Comment: 18 pages, 6 figures, Talk given at IPM String School and Workshop,
ISS2005, January 5-14, 2005, Qeshm Island, IRA
Tetrahedron in F-theory Compactification
Complex tetrahedral surface is a non planar projective surface
that is generated by four intersecting complex projective planes . In
this paper, we study the family of blow ups of
and exhibit the link of these s with the set of
del Pezzo surfaces obtained by blowing up n isolated points in the
. The s are toric surfaces exhibiting a symmetry that may be used to engineer gauge symmetry enhancements in the
Beasley-Heckman-Vafa theory. The blown ups of the tetrahedron have toric graphs
with faces, edges and vertices where may localize respectively fields in
adjoint representations, chiral matter and Yukawa tri-fields couplings needed
for the engineering of F- theory GUT models building.Comment: 27 pages, 9 figure
On the global attractivity and oscillations in a class of second order difference equations from macroeconomics
New global attractivity criteria are obtained for the second order difference
equation via a
Lyapunov-like method. Some of these results are sharp and support recent
related conjectures. Also, a necessary and sufficient condition for the
oscillation of this equation is obtained using comparison with a second order
linear difference equation with positive coefficients.Comment: the final version of this paper will be published in Journal of
Difference Equations and Application
On backward stochastic differential equations driven by a family of It\^o's processes
We propose to study a new type of Backward stochastic differential equations
driven by a family of It\^o's processes. We prove existence and uniqueness of
the solution, and investigate stability and comparison theorem
On the -variation of the divergence integral with respect to fractional Brownian motion with Hurst parameter
In this paper, we study the -variation of stochastic divergence
integrals with respect to a fractional
Brownian motion with Hurst parameter . Under suitable
assumptions on the process u, we prove that the -variation of
exists in and is equal to , where . In the second part of the paper, we establish an integral
representation for the fractional Bessel Process , where is a
-dimensional fractional Brownian motion with Hurst parameter . Using a multidimensional version of the result on the
-variation of divergence integrals, we prove that if ,
then the divergence integral in the integral representation of the fractional
Bessel process has a -variation equals to a multiple of the
Lebesgue measure.Comment: 29 page
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