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Mathematics

Mathematics

Recent Submissions

  • Rat, Sara (Nazarbayev University, School of Science and Technology, 2018)
    The Financial Risk Management (FRM) aims to identify, measure and manage risks in different sectors. One of the core things during such operations is measuring different dependencies. Linear correlation is known as one of ...
  • Omarov, Daniyar (2018)
    A novel procedure based on the Sturm’s theorem for real-valued polynomials is developed to predict and identify periodic solutions and non-periodic solutions in the pull-in analysis of a graphene-based MEMS lumped parameter ...
  • Madiyeva, Aigerim (2018-05-10)
    In this Capstone Project, we analyze a second order nonlinear ordinary differential equation (NODE), y^" (x)=f(y^',y) that is impossible to solve analytically. First, using the Taylor Power Series method, we obtain a series ...
  • Kabdolov, Olzhas (Nazarbayev University, School of Science and Technology, 2018-05)
    Recurrent neural networks are very powerful sequence models which are used for language modeling as well. Under correct regularization such as naive dropout these models are able to achieve substantial improvement in their ...
  • Shakir, Akyl (Nazarbayev University, School of Science and Technology, 2018-05)
    We apply singularity analysis in complex time to investigate the solutions of a dynamical system of one degree of freedom related to the oscillations of a Micro-Electro-Mechanical System (MEMS) of nonlinear elasticity. ...
  • Amangeldi, Medeu (Nazarbayev University, School of Science and Technology, 2018-05-13)
    This paper presents the application of an iterative approach for prediction of uranium price by model identification, parameter estimation and diagnostic checking which are designed by Box and Jenkins. In particular, the ...
  • Alekberova, Nargiz (Nazarbayev University, School of Science and Technology, 2018-05-10)
    This project presents a generalization of the classical logistic and the Gompertz model by using two parameter power law exponent. The suggested generalized with two parameters models was shown by numerical example to be ...
  • Bountis, Tassos; Vanhaecke, Pol (Physics Letters A, 2016-12-09)
    Abstract We use a strong version of the Painlevé property to discover and characterize a new class of n-dimensional Hamiltonian Lotka–Volterra systems, which turn out to be Liouville integrable as well as superintegrable. ...
  • Antonopoulos, Chris G.; Skokos, Charalampos; Bountis, Tassos; Flach, Sergej (Chaos, Solitons & Fractals, 2017-11-01)
    Abstract In the study of subdiffusive wave-packet spreading in disordered Klein–Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite decreasing densities, or tends ...
  • La Torre, Davide; Marsiglio, Simone; Mendivil, Franklin; Privileggi, Fabio (Communications in Nonlinear Science and Numerical Simulation, 2018-05-01)
    Abstract We analyze a multi-sector growth model subject to random shocks affecting the two sector-specific production functions twofold: the evolution of both productivity and factor shares is the result of such exogenous ...
  • Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L. (Journal of Mathematical Analysis and Applications, 2017-03-01)
    Abstract In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper of Hytönen, van Neerven and Portal ...
  • Otero, Daniel; La Torre, Davide; Michailovich, Oleg; Vrscay, Edward R. (Signal Processing, 2017-05-01)
    Abstract The concept of a mapping, which takes its values in an infinite-dimensional functional space, has been studied by the mathematical community since the third decade of the last century. This effort has produced a ...
  • Nordström, Kenneth (Linear Algebra and its Applications, 2018-02-01)
    Abstract This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B ...
  • Wegner, Sven-Ake (Journal of Pure and Applied Algebra, 2017-11-01)
    Abstract Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beĭlinson, Bernstein and Deligne ...
  • Melnykov, Igor; Melnykov, Volodymyr (Statistics & Probability Letters, 2014-01-01)
    Abstract The K-means algorithm is commonly used with the Euclidean metric. While the use of Mahalanobis distances seems to be a straightforward extension of the algorithm, the initial estimation of covariance matrices can ...
  • Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos (Physical Review, 2017-10-16)
    Coupled semiconductor lasers are systems possessing complex dynamics that are interesting for numerous applications in photonics. In this work, we investigate the existence and the stability of asymmetric phase-locked ...
  • Kominis, Yannis; Bountis, Tassos; Flach, Sergej (ArXiv, 2017-06-23)
    We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. ...
  • Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos (ArXiv, 2017-10-04)
    The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-tigated in the context of the rate equation model. Spectral transition properties and exceptional points are shown to occur under ...
  • Wei, Dongming; Skrzypacz, Piotr; Yu, Xijun (Journal of Applied Mathematics, 2017-07-13)
    Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that ...
  • Wei, D.; Kadyrov, S.; Kazbek, Z. (Applied and Computational Mechanics, 2017)
    Phase plane analysis of the nonlinear spring-mass equation arising in modeling vibrations of a lumped mass attached to a graphene sheet with a fixed end is presented. The nonlinear lumped-mass model takes into account the ...

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