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Entire Solutions of the Allen-Cahn Equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3.
Bouvel and Pergola introduced the notion of minimal permutations in the study of the whole genome duplication-random loss model for genome rearrangements. Let Fd(n) denote the set of minimal permutati...
We prove the three embeddedness results as follows. $({\rm i})$ Let $\Gamma_{2m+1}$ be a piecewise geodesic Jordan curve with $2m+1$ vertices in $\mathbb{R}^n$, where $m$ is an integer $\geq2$. Then t...
We consider immersions of a Riemann surface into a manifold with $G_2$-holonomy and give criteria for them to be conformal and harmonic, in terms of an associated Gauss map
We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy-Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every defina...
The principle of minimization of relative entropy is used to construct a minimal entropy martingale measure for a finite probability/multiperiod market model.
In last, we characterise that, the only riemannian metrics which have a constant determinant on Bμ,ξ and which admit all the planes as minimal surfaces are Heisenberg’s metrics.
In this article, the problem of real options valuation in multinomial trees is investigated. A concrete single real options value based on the minimal entropy martingale measure is provided. Using the...
A New Obstruction to Minimal Isometric Immersions into a Real Space Form.
This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associated matrix. Moreover, we presen...
Interpolation of 2n+k data by spline spaces of order k with n knots is studied. Some conditions on existence of interpolating splines are given. Numerical methods for constructing a solution are sugge...
This brief paper deals with realization and partial realization results for timeinvariant systems with, in general, incommensurate delays. The results are obtained based upon the use of formal Laure...
In this paper , we discuss the complexity of the compact system generated by the continuous map on compact spaces and prove if there exists a topological semi-conjugate which is from the compact space...
In this note, we give a characterization of the minimal martingale measure for a general discrete-time incomplete financial market. Then we concretely work out the minimal martingale measure for a spe...

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