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Browsing Mathematics by Issue Date

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  • STABILITY PROPERTIES OF 1-DIMENSIONAL HAMILTONIAN LATTICES WITH NON-ANALYTIC POTENTIALS 
    Bountis, Anastasios; Kaloudis, Konstantinos; Oikonomou, Thomas; Manda, Bertin Many; Skokos, Charalampos (arxiv, 2020)
    We investigate the local and global dynamics of two 1-Dimensional (1D) Hamiltonian lattices whose inter-particle forces are derived from non-analytic potentials. In particular, we study the dynamics of a model governed ...
  • The Classification Using the Hierarchy and Exclusion Graphs 
    Raimbekov, Temirlan (Nazarbayev University School of Sciences and Humanities, 2020)
    This thesis first reviews the Conditional Random Fields (CRF) model. Then, we introduce the Hierarchy and Exclusion (HEX) graphs and describe the probabilistic classification model based on these graphs (HEX model). Next, ...
  • Semantics- and Syntax-related Subvectors in the Skip-gram Embeddings 
    Tezekbayev, Maxat (Nazarbayev University School of Sciences and HumanitiesNazarbayev University School of Sciences and Humanities, 2020)
    This project presents that using a modified version of Skip-gram with negative sampling with weight tying proposed by Assylbekov and Takhanov (2019) word embedding of each word can be decomposed into two subvectors: x ...
  • Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process 
    LEE, Eunghyun (arxiv, 2020)
    We find the formulas of the transition probabilities of the N-particle multi species asymmetric simple exclusion processes (ASEP), and show that the transition prob abilities are written as a determinant when the order of ...
  • PENROSE INSTABILITY ANALYSIS IN THE HIROTA EQUATION 
    Assaubay, Al-Tarazi; Castro Castilla, Alejandro Javier (Nazarbayev University School of Sciences and Humanities, 2020)
    In this research, we study the Penrose instability analysis in the Hirota equation, which is a higher-order version of Nonlinear Schrödinger equation. We apply the Wigner function to Hirota equation in order to obtain ...
  • Modeling and Finite Element Simulations of Ceramic Paste Extrusion in 3D Printing 
    Baiseitova, Kuralay (Nazarbayev University School of Sciences and Humanities, 2020)
    Ceramic paste extrusion process, such as 3D printing, is commonly used for fabricating high quality products, like catalyst pellets for heterogeneous catalytic reactors, porous catalyst for cleaning gas released from an ...
  • A SHARP OSCILLATION CRITERION FOR A DIFFERENCE EQUATION WITH CONSTANT DELAY 
    Benekas, Vasileios; Kashkynbayev, Ardak; Stavroulakis, Ioannis P. (Advances in Difference Equations, 2020)
    It is known that all solutions of the difference equation Δx(n)+p(n)x(n−k)=0,n≥0, where {p(n)}∞n=0 is a nonnegative sequence of reals and k is a natural number, oscillate if lim infn→∞∑n−1i=n−kp(i)>(kk+1)k+1. In the ...
  • Nonlinear Schrödinger-Airy Equation in Sobolev Spaces of Low Regularity 
    Sakayeva, Zhanna (Nazarbayev University School of Sciences and Humanities, 2020)
    The Nonlinear Schrödinger-Airy equation is one of the general examples of dispersive nonlinear partial differential equations. It is commonly used to characterize the nonlinear propagation of light pulses in optical ...
  • PERIODICALLY FORCED NONLINEAR OSCILLATORS WITH HYSTERETIC DAMPING 
    Bountis, Anastasios; Kaloudis, Konstantinos; Spitas, Christos (arxiv, 2020)
    We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a periodic force under hysteretic damping, whose linear version was originally proposed and analyzed by Bishop in [1]. We ...
  • ROLE OF MEDIA IN ADDRESSING THE SOCIALIZATION PROBLEMS OF THE YOUNGER GENERATION: THE CASE OF KAZAKHSTAN 
    KUTYM, BEGIM K.; YESSENBEKOVA, ULBOSSYN M.; TURZHAN, ONGAIGUL I.; KOSHANOVA, KULNASH A.; YEGEMBERDIYEV, ISKAKH D. (Media Watch, 2020)
    The article examines the cultural and educational mission of modern media related to the spiritual and cultural education of youth in Kazakhstan. Over the past two decades, the socialization problems of Kazakh youth have ...
  • Classifying equivalence relations in the Ershov hierarchy 
    Mustafa, Manat; Bazhenov, Nikolay; Mauro, Luca San; Sorbi, Andrea; Yamaleev, Mars (Springer, 2020-02-13)
    Computably enumerable equivalence relations (ceers) received a lot of attention in the literature. The standard tool to classify ceers is provided by the computable reducibility ⩽c. This gives rise to a rich degree structure. ...
  • SUBELLIPTIC GEOMETRIC HARDY TYPE INEQUALITIES ON HALF‑SPACES AND CONVEX DOMAINS 
    Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (Duke University Press, 2020-04-02)
    In this paper we present L2 and Lp versions of the geometric Hardy inequalities in half-spaces and convex domains on stratifed (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give ...
  • Some applications of potential theory for a degenerate type diffusion equation 
    Tengel, Kassymkhan (Nazarbayev University School of Sciences and Humanities, 2020-04-20)
    This thesis is aimed to study boundary conditions for heat potentials for degeneratetype diffusion equations with initial condition and conductivity coefficient given by a time variable. Equations can be one-dimensional ...
  • Robust Prediction with Risk Measures 
    Duisenbay, Yerlan (Nazarbayev University School of Sciences and Humanities, 2020-04-29)
    This thesis deals with coherent risk measures and its simulation with respect to different probability distributions. This study gives a numerical scheme to approximate any coherent risk measure via a sum of specific ...
  • Modeling dependencies between exchange rates using timeinvariant and time-varying copulas 
    Adil, Asem (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    In this project, the bivariate dependence structures between the Japanese Yen, Chinese Yuan, and Hong Kong Dollar exchange rates against the US Dollar are studied by using time-invariant and time-varying copulas. The ...
  • Simulations of Implied Volatility and Option Pricing using Neural Networks and Finite Difference Methods for Heston Model 
    Arziyev, Sukhrat (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    The theory of option pricing made a dramatic step forward when Black and Scholes published a centennial paper with a solution for the prices of European call and put options. However, their solution only deals with the ...
  • A Finite Element Approach to Solving Leland Model for Options Pricing 
    Zhumakhanova, Gulzat (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    In this thesis work, the Leland model for pricing of European options is studied. Firstly, the derivation of the Leland model is introduced by using Ito’s lemma and synthesized replicate portfolio methodology. Then the ...
  • Protein Family Classification using embedding methods 
    Saduakhas, Damilya (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    This capstone project examines the performance of existing embedding based alignment-free methods for protein family classification tasks. The distributed continuous representation of biological sequences such as DNA and ...
  • Constructing Word Embeddings from the Random Hyperbolic Graph 
    Nurmukhamedov, Sultan (Nazarbayev University School of Sciences and Humanities, 2020-04-30)
    Recent studies have shown that the appropriate space for word embeddings is not the Euclidean space, but negatively curved, hyperbolic space. We randomly throw points in the hyperbolic disc and claim that these points are ...
  • Modeling and Numerical Analysis for Catalytic Membrane Reactors 
    Chalkarova, Nagima (Nazarbayev University School of Sciences and Humanities, 2020-05-01)
    There has been great interest in membrane reactors over the last decades. The limitation of selectivity and yield of certain products in chemical reactions is an important and not sfficiently solved problem in the field ...