Let Ωn denote the set of all n × n doubly stochastic matrices. Two unequal matrices A and B in Ωn are called permanental mates if the permanent function is constant on the line segment t A + (1 − t)B, 0 ≤ t ≤ 1, connecting A and B. We study the perturbation matrix A + E of a symmetric matrix A in Ωn as a permanental mate of A. Also we show an example to disprove Hwang’s conjecture, which states...

We study a hedging and pricing problem of a model where the price process of a risky asset has jumps with instantaneous feedback from the most recent asset price. We model these jumps with a doubly stochastic Poisson process with an intensity function depending on the current price. We find a closed form expression of the local risk minimization strategy using Föllmer and Schweizer decompositio...

Differential growth of thin elastic bodies furnishes a surprisingly simple explanation of the complex and intriguing shapes of many biological systems, such as plant leaves and organs. Similarly, inelastic strains induced by thermal effects or active materials in layered plates are extensively used to control the curvature of thin engineering structures. Such behaviour inspires us to distinguis...

Abstract We study convex relaxations of nonconvex quadratic programs. identify a family so-called feasibility preserving relaxations, which includes the well-known copositive and doubly nonnegative with property that relaxation is feasible if only program feasible. observe each in this implicitly induces underestimator objective function on region program. This alternative perspective enables u...

Abstract This paper presents some results of research aimed at defining a parametric tool for modelling complex decorative apparatuses domes based on geometric rules definition and building techniques. MaTiDo , Majolica Tiles Domes, is an adaptive that allows user to place “fish scale” revolution oval or elliptical ones, with ribs without ribs. can be used reproduce the look real virtually reco...

In this paper the vibration signature of single walled carbon nano tube (SWCNT) with waviness along its axis which is doubly clamped at a source and a drain and is used to represent a single mode resonator has been analyzed. In most of previous study, experimentally measured resonance frequencies of CNTs along with classical beam theory for straight beams CNT have used. However, from photo micr...

There is a vast literature showing the connection between deformed relativistic kinematics and curved momentum space, and, in particular, how former can be obtained from geometrical properties of latter. However, there not any mention about geometry multi-particle system making manifest possible modification metric one particle due to presence others. In this work we explore depending on partic...

We derive new, sharp lower bounds for certain curvature functionals on the space of Riemannian metrics of a smooth compact 4manifold with a non-trivial Seiberg-Witten invariant. These allow one, for example, to exactly compute the infimum of the L2-norm of Ricci curvature for all complex surfaces of general type. We are also able to show that the standard metric on any complex hyperbolic 4manif...