Market Failures and Government Failures in the Model of Transition from Stagnation to Growth

The paper provides a framework for analysis of optimal growth enhancing policy in the economy with market and government failures. It develops an endogenous growth model with strategic complementarities between R&D investments of firms and investments in training of households. The model generates two possible long-run equilibriums: no-growth poverty trap equilibrium and stable sustainable growth equilibrium. In the extended version of the model with government failures we assume that some part of government revenue is expropriated by rent seeking agents. With these conditions we analyze the possibility of transition from stagnation to growth induced by government investment subsidies and other factors.poverty trap, endogenous growth theory, human capital, rent seeking

FPT-algorithms for some problems related to integer programming

In this paper, we present FPT-algorithms for special cases of the shortest lattice vector, integer linear programming, and simplex width computation problems, when matrices included in the problems' formulations are near square. The parameter is the maximum absolute value of rank minors of the corresponding matrices. Additionally, we present FPT-algorithms with respect to the same parameter for the problems, when the matrices have no singular rank sub-matrices.Comment: arXiv admin note: text overlap with arXiv:1710.00321 From author: some minor corrections has been don

Higgs Mediated EDMs in the Next-to-MSSM: An Application to Electroweak Baryogenesis

We perform a study on the predictions of electric-dipole moments (EDMs) of neutron, Mercury (Hg), Thallium (Tl), deuteron, and Radium (Ra) in the framework of next-to-minimal supersymmetric standard model (NMSSM) with CP-violating parameters in the superpotential and soft-supersymmetry-breaking sector. We confine to the case in which only the physical tree-level CP phase $(\phi'_\lambda - \phi'_\kappa)$, associated with the couplings of the singlet terms in the superpotential and with the vacuum-expectation-values (VEVs), takes on a nonzero value. We found that the one-loop contributions from neutralinos are mostly small while the two-loop Higgs-mediated contributions of the Barr-Zee (BZ) type diagrams dominate. We emphasize a scenario motivated by electroweak baryogenesis.Comment: 36 pages, 9 figures, to appear in PR

Investigation of Solid Precipitate that Prevents Etching of Silicon in a Solution of Ethylenediamine and Pyrocatechol

The article studies effect of solid precipitate building up that prevents etching of silicon in a solution of ethylenediamine and pyrocatechol. The article provides technology recommendations that allow avoiding the formation of the undesirable solid precipitate

Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlev\'e Equations

We study factorizations of rational matrix functions with simple poles on the Riemann sphere. For the quadratic case (two poles) we show, using multiplicative representations of such matrix functions, that a good coordinate system on this space is given by a mix of residue eigenvectors of the matrix and its inverse. Our approach is motivated by the theory of discrete isomonodromic transformations and their relationship with difference Painlev\'e equations. In particular, in these coordinates, basic isomonodromic transformations take the form of the discrete Euler-Lagrange equations. Secondly we show that dPV equations, previously obtained in this context by D. Arinkin and A. Borodin, can be understood as simple relationships between the residues of such matrices and their inverses.Comment: 9 pages; minor typos fixed, journal reference adde

Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation

We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. We construct flows on the moduli space of algebraic Riemann surfaces that preserve the periods of the corresponding operator. By a suitable extension of the phase space, these equations can be written with quadratic irrationalities.Comment: 15 page