Department of Mathematical Sciences Articles

Department of Mathematical Sciences Articles

 

Recent Submissions

  • Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P. (IOP, 2019-10)
    We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the -Painlevé V equation. The derivation involves the analysis of a ...
  • Zhang, Sheng; Xu, Ziyue; Peng, Hanxiang (Society of Statistics, Computer and Applications (SSCA), 2020-07-28)
    To simultaneously model the change point and the possibly nonlinear relationship in the Covid-19 data of the US, a continuous second-order free knot spline model was proposed. Using the least squares method, the change ...
  • Fraser, Chris; Lam, Thomas; Le, Ian (AMS, 2019)
    We formulate a higher-rank version of the boundary measurement map for weighted planar bipartite networks in the disk. It sends a network to a linear combination of $ \textnormal {SL}_r$-webs and is built upon the $ r$-fold ...
  • Sarkar, Jyotirmoy (Society of Statistics, Computer and Applications (SSCA), 2020-07-12)
    Total economic shutdown being detrimental to a nation’s prosperity, most governments are reopening businesses and schools with the requirement of frequent and mass-scale testing to determine each person’s status of COVID-19 ...
  • Ramras, Daniel A.; Ramsey, Bobby W. (Duke University, 2019-06)
    Consider a finitely generated group G that is relatively hyperbolic with respect to a family of subgroups H1,…,Hn. We present an axiomatic approach to the problem of extending metric properties from the subgroups Hi to the ...
  • Ramras, Daniel A.; Villareal, Bernardo (De Gruyter, 2019-11)
    Commutative K-theory, a cohomology theory built from spaces of commuting matrices, has been explored in recent work of Adem, Gómez, Gritschacher, Lind and Tillman. In this article, we use unstable methods to construct ...
  • Klimek, Slawomir; McBride, Matt; Peoples, John Wilson (National Academy of Science of Ukraine, 2019)
    By modifying the ideas from our previous paper [SIGMA 13 (2017), 075, 26 pages, arXiv:1705.04005], we construct spectral triples from implementations of covariant derivations on the quantum disk.
  • Zhu, Luoding (Tech Science Press, 2019)
    Problems involving fluid flexible-structure interactions (FFSI) are ubiquitous in engineering and sciences. Peskin’s immersed boundary (IB) method is the first framework for modeling and simulation of such problems. This ...
  • Morton, Patrick (Springer, 2019)
    The exact set of periodic points in Q of the algebraic function ˆ F(z) = (−1±p1 − z4)/z2 is shown to consist of the coordinates of certain solutions (x, y) = ( , ) of the Fermat equation x4+y4 = 1 in ring class fields ...
  • Ramras, Daniel A. (Springer, 2019)
    Let M be a topological monoid with homotopy group completion ΩBM. Under a strong homotopy commutativity hypothesis on M, we show that πk(ΩBM) is the quotient of the monoid of free homotopy classes [Sk, M] by its submonoid ...
  • Klimek, Slawomir; McBride, Matt (National Academy of Science of Ukraine, 2010-07-16)
    We study quantum analogs of the Dirac type operator −2z¯¯¯∂∂z¯¯¯ on the punctured disk, subject to the Atiyah–Patodi–Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded ...
  • Feigin, B.; Jimbo, M.; Mukhin, E. (AIP, 2019)
    We discuss the quantization of the 𝔰𝔩ˆ2 coset vertex operator algebra 𝒲D(2,1;α) using the bosonization technique. We show that after quantization, there exist three families of commuting integrals of motion coming from ...
  • Bailey, E. C.; Bettin, S.; Blower, G.; Conrey, J. B.; Prokhorov, A.; Rubinstein, M. O.; Snaith, N. C. (AIP, 2019)
    Following the work of Conrey, Rubinstein, and Snaith [Commun. Math. Phys. 267, 611 (2006)] and Forrester and Witte [J. Phys. A: Math. Gen. 39, 8983 (2006)], we examine a mixed moment of the characteristic polynomial and ...
  • Huang, Chenliang; Mukhin, Evgeny; Vicedo, Benoît; Young, Charles (Springer, 2019)
    We describe a reproduction procedure which, given a solution of the glM|N Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produces a family P of other solutions called the population. To ...
  • Shen, Zhongmin; Yang, Guojun (Springer, 2019)
    A geodesic circle in Finsler geometry is a natural extension of that in a Euclidean space. In this paper, we study geodesic circles and (infinitesimal) concircular transformations on a Finsler manifold. We characterize a ...
  • Cowen, Carl C.; Johnston, William; Wahl, Rebecca G. (Elsevier, 2019-12)
    Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an n n matrix N that commutes with A and has N = kerN. For Q a matrix putting A into Jordan canonical form, J = Q􀀀1AQ, ...
  • Chatterjee, Debolina; Sarkar, Jyotirmoy (Elsevier, 2020-01)
    Formulas for limiting average availability of a repairable system exist only for some special cases: (1) either the lifetime or the repair time is exponential; or (2) there is one spare unit and one repair facility. We ...
  • Chio, Ivan; He, Caleb; Ji, Anthony L.; Roeder, Roland K. W. (Springer, 2019-09)
    This paper is devoted to an in-depth study of the limiting measure of Lee–Yang zeroes for the Ising Model on the Cayley Tree. We build on previous works of Müller-Hartmann and Zittartz (Z Phys B 22:59, 1975), Müller-Hartmann ...
  • Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland (Springer, 2019)
    In a classical work of the 1950s, Lee and Yang proved that for fixed nonnegative temperature, the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circle in the complex magnetic field. ...
  • Arciero, Julia; Lembcke, Lauren; Franko, Elizabeth; Unthank, Joseph (Wiley, 2019)
    Objective There is currently a lack of clarity regarding which vascular segments contribute most significantly to flow compensation following a major arterial occlusion. This study uses hemodynamic principles and computational ...

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