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  • Convergence rates for inverse-free rational approximation of matrix functions 
    Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf (Linear Algebra and Its Applications, 2016-12-01)
    This article deduces geometric convergence rates for approximating matrix functions via inverse-free rational Krylov methods. In applications one frequently encounters matrix functions such as the matrix exponential or ...
  • Copula functions in Credit Metrics’ VaR estimation 
    Magzanov, Shynggys (Nazarbayev University School of Science and Technology, 2019-08-08)
    Credit risk modelling of a portfolio of exposures is essential part of activity of every financial institution. However this procedure is complicated since the joint behavior of chosen exposures must be known. In this paper ...
  • Copulas and Correlation in Statistical Risk Theory 
    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 ...
  • Decay Estimates of Heat Transfer to Melton Polymer Flow in Pipes with Viscous Dissipation 
    Wei, Dongming; Zhang, Zhenbu (Electronic journal of differential equations, 2001)
    In this work, we compare a parabolic equation with an elliptic equation both of which are used in modeling temperature profile of a powerlaw polymer ow in a semi-infinite straight pipe with circular cross section. We ...
  • Discovery of the D-basis in binary tables based on hypergraph dualization 
    Adaricheva, Kira; Nation, J.B. (2016)
    Discovery of (strong) association rules, or implications, is an important task in data management, and it nds application in arti cial intelligence, data mining and the semantic web. We introduce a novel approach for ...
  • The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators 
    Zholmaganbetova, Aigerim (Nazarbayev University School of Science and Technology, 2019-05-29)
    Many problems in theoretical physics are expressed in the form of Hamiltonian systems. Among these the first to be extensively studied were low-dimensional, possessing as few as two (or three) degrees of freedom. In the ...
  • Effective uniqueness of parry measure and exceptional sets in ergodic theory 
    Kadyrov, Shirali (2014)
    It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension ...
  • The effect of long–range interactions on the dynamics and statistics of 1D Hamiltonian lattices with on–site potential 
    Christodoulidi, H.; Bountis, Tassos; Drossos, L. (arXiv, 2018-04)
    We examine the role of long–range interactions on the dynamical and statistical properties of two 1D lattices with on–site potentials that are known to support discrete breathers: the Klein–Gordon (KG) lattice which ...
  • Efficient bases of finite closure systems 
    Adaricheva, Kira (2014-05-13)
  • Embedding finite lattices into finite biatomic lattices 
    Adaricheva, Kira; Wehrung, Freidrich (2005)
    For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, — The class ...
  • Entropy and escape of mass for SL3(Z)n SL3(R) 
    Einsiedler, Manfred; Kadyrov, Shirali (2011)
    We study the relation between measure theoretic entropy and escape of mass for the case of a singular diagonal flow on the moduli space of three-dimensional unimodular lattices
  • Escape of mass and entropy for diagonal flows in real rank one situations 
    Einsiedler, M.; Kadyrov, Shirali; Pohl, A. (2011)
    Let G be a connected semisimple Lie group of real rank 1 with finite center, let 􀀀 be a non-uniform lattice in G and a any diagonalizable element in G. We investigate the relation between the metric entropy of a acting ...
  • Estimation and application of best ARIMA model for forecasting the uranium price. 
    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 ...
  • Exceptional Points in Two Dissimilar Coupled Diode Lasers 
    Kominis, Yannis; Choquette, Kent D.; Bountis, Anastassios; Kovanis, Vassilios (arXiv, 2018-06)
    We show the abundance of Exceptional Points in the generic asymmetric configuration of two coupled diode lasers, under nonzero optical detuning and differential pumping. We pinpoint the location of these points with ...
  • Exceptional sets in homogeneous spaces and hausdorff dimension 
    Kadyrov, Shirali (2015)
    In this paper we study the dimension of a family of sets arising in open dynamics. We use exponential mixing results for diagonalizable ows in compact homogeneous spaces X to show that the Hausdorff dimension of set of ...
  • Existence of Equilibrium States of Hollow Hollomon Cylinders Submerged in a Fluid 
    Elgindi, Mohamed B. M.; Wei, Dongming (Applied Mathematical Sciences, 2013)
    This paper is concerned with the existence of equilibrium states of a thin-walled hollow elasto-plastic cylinders fully or partially submerged in a fluid. This problem serves as a model for many problems with engineering ...
  • Existence, Uniqueness, and Numerical Analysis of Solutions of a Quasilinear ParabolicProblem 
    Wei, Dongming (Society for Industrial and Applied Mathematics. SIAM Journal on Numerical Analysis, 1992-04)
    A quasilinear parabolic problem is studied. By using the method of lines, the existence and uniqueness of a solution to the initial boundary value problem with sufficiently smooth initial conditions are shown. Also given ...
  • Experimental study of Pac-Man conditions for learn-ability of discrete linear dynamical systems 
    Damiyev, Zhaksybek (Nazarbayev University School of Science and Technology, 2019-05-01)
    In this work, we are going to reconstruct parameters of a discrete dynamical system with a hidden layer, given by a quadruple of matrices (𝐴,𝐵,𝐶,𝐷), from system’s past behaviour. First, we reproduced experimentally ...
  • Experiments with Russian to Kazakh sentence alignment 
    Assylbekov, Zhenisbek; Myrzakhmetov, Bagdat; Makazhanov, Aibek (The 4-th International Conference on Computer Processing of Turkic Languages “TurkLang 2016”, 2016)
    Sentence alignment is the final step in building parallel corpora, which arguably has the greatest impact on the quality of a resulting corpus and the accuracy of machine translation systems that use it for training. ...
  • Explorations on chaotic behaviors of Recurrent Neural Networks 
    Myrzakhmetov, Bagdat (Nazarbayev University School of Science and Technology, 2019-04-29)
    In this thesis work we analyzed the dynamics of the Recurrent Neural Network architectures. We explored the chaotic nature of state-of-the-art Recurrent Neural Networks: Vanilla Recurrent Network, Recurrent Highway ...