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Mathematics: Recent submissions

  • Weighted L-p-Hardy and L-p-Rellich inequalities with boundary terms on stratified Lie groups 
    Ruzhansky, Michael; Suragan, Durvudkhan; Sabitbek, Bolys (SPRINGER-VERLAG ITALIA SRL, 2019-01)
    In this paper, generalised weighted Lp-Hardy, Lp-Caffarelli-Kohn-Nirenberg, and Lp-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and ...
  • CRITICAL HARDY INEQUALITIES 
    Ruzhansky, Michael; Suragan, Durvudkhan (SUOMALAINEN TIEDEAKATEMIA, 2019)
    We prove a range of critical Hardy inequalities and uncertainty type principles on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. Moreover, we establish a new type of critical ...
  • Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays 
    Kashkynbayev, Ardak; Cao, Jinde; Damiyev, Zhaksybek (SpringerOpen, 2019)
    We consider fuzzy shunting inhibitory cellular neural networks (FSICNNs) with time-varying coefficients and constant delays. By virtue of continuation theorem of coincidence degree theory and Cauchy–Schwartz inequality, ...
  • Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials 
    Mac´ıas-D´ıaz, Jorge E.; Bountis, Anastasios; Christodoulidi, Helen (Mathematics in Engineering, 2019-04-03)
    We consider a family of 1-dimensional Hamiltonian systems consisting of a large number of particles with on-site potentials and global (long range) interactions. The particles are initially at rest at the equilibrium ...
  • Context Vectors Are Reflections of Word Vectors in Half the Dimensions 
    Assylbekov, Zhenisbek; Takhanov, Rustem (AI ACCESS FOUNDATION, 2019-09)
    This paper takes a step towards theoretical analysis of the relationship between word embeddings and context embeddings in models such as word2vec. We start from basic probabilistic assumptions on the nature of word vectors, ...
  • Efficient and secure business model for content centric network using elliptic curve cryptography 
    Adhikari, Sharmistha; Ray, Sangram; Biswas, Gosta P.; Obaidat, Mohammad S. (International Journal of Communication Systems, 2018-10-25)
    Initially, Internet has evolved as a resource sharing model where resources are identified by IP addresses. However, with rapid technological advancement, resources/hardware has become cheap and thus, the need of sharing ...
  • A priori error analysis for transient problems using Enhanced Velocity approach in the discrete-time setting 
    Amanbek, Yerlan; Wheeler, Mary F. (ELSEVIER SCIENCE BV, 2019-12)
    Time discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical convergence error estimates in discrete-time ...
  • Traveling Waves of Some Symmetric Planar Flows of Non-Newtonian Fluids 
    Wei, Dongming; Shu, Yupeng (Nazarbayev University School of Sciences and Humanities, 2019-09)
    We present some variants of Burgers-type equations for incompressible and isothermal planar flow of viscous non-Newtonian fluids based on the Cross, the Carreau and the power-law rheology models, and on a symmetry assumption ...
  • Manual vs Automatic Bitext Extraction 
    Myrzakhmetov, Bagdat; Assylbekov, Zhenisbek; Makazhanov, Aibek (Nazarbayev University School of Sciences and Humanities, 2018-05-12)
    We compare manual and automatic approaches to the problem of extracting bitexts from the Web in the framework of a case study on building a Russian-Kazakh parallel corpus. Our findings suggest that targeted, site-specific ...