Department of Mathematical Sciences

 

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  • Kolyada, Sergiǐ; Misiurewicz, Michał; Snoha, L’ubomír (American Mathematical Society, 2020)
    We investigate the notion of the special α-limit set of a point. For a continuous selfmap of a compact metric space, it is defined as the union of the sets of accumulation points over all backward branches of the map. ...
  • Its, A.; Prokhorov, A. (arXiv, 2020)
    The Calogero-Painlevé systems were introduced in 2001 by K. Takasaki as a natural generalization of theclassical Painlevé equations to the case of the several Painlevé “particles” coupled via the Calogero type interactions. ...
  • Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou (Springer, 2020-03)
    This paper, the third in a series, completes our description of all (radial) solutions on C∗ of the tt*-Toda equations 2(wi)tt¯=−e2(wi+1−wi)+e2(wi−wi−1), using a combination of methods from p.d.e., isomonodromic deformations ...
  • Chang, Shu-Chiuan; Roeder, Roland K. W.; Shrock, Robert (AIP, 2020-07)
    We report exact results concerning the zeros of the partition function of the Potts model in the complex q-plane, as a function of a temperature-like Boltzmann variable v, for the m-th iterate graphs Dm of the diamond ...
  • Klimek, Slawomir; McBride, Matt (Elsevier, 2020-04)
    We define a noncommutative space we call the quantum solid torus. It is an example of a noncommutative manifold with a noncommutative boundary. We study quantum Dirac type operators subject to Atiyah-Patodi-Singer like ...
  • Sarkar, Jyotirmoy (SSCA, 2020-08)
    We solve an unsolved problem posed in Sarkar (2020), which proposed a reward-earning binary random walk game on a parity dial whose twelve nodes, when read clockwise, are labeled as (1, 11, 3, 9, 5, 7, 6, 8, 4, 10, 2, 0). ...
  • Rashid, Mamunur; Sarkar, Jyotirmoy (Depauw, 2020-08)
    The mean of a set of numbers may be guessed in one of two ways: (1) as a fulcrum placed under the dot plot; or (2) as a vertical line that equalizes areas of two regions bounded by the step plot (also known as the empirical ...
  • Basor, Estelle; Ehrhardt, Torsten; Gharakhloo, Roozbeh; Its, Alexander; Li, Yuqi (arXiv, 2021)
    We prove the analogue of the strong Szeg{\H o} limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang and Perk \cite{YP} for the next-to-diagonal ...
  • Hufnagel, Rachel; Chen, Ziyi; Rashid, Mamunur; Sarkar, Jyotirmoy (2020)
    Many of us have experienced an unpleasant situation in which only the mean and the standard deviation of a data set are reported, but we are expected to know everything about the dataset as if those two values were all we ...
  • Tarasov, Vitaly; Uvarov, Filipp (SIGMA, 2020)
    We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (glk,gln)-duality for the space of polynomials in kn anticommuting variables. We show that the ...
  • Sarkar, Jyotirmoy; Rashid, Mamunur (Univ. of Rajshahi, 2020-10)
    While a dot plot of one variable is naturally extended to a scatter plot of two variables, how should a box plot of one variable be extended to two variables? We propose a shutter plot that depicts the means and the standard ...
  • Smithson, Haixia; Sarkar, Jyotirmoy (IA Press, 2021-01)
    Allowing several imperfect repairs before a perfect repair can lead to a highly reliable and efficient system by reducing repair time and repair cost. Assuming exponential lifetime and exponential repair time, we determine ...
  • Zhao, Erin; Barber, Jared; Sen, Chandan K.; Arciero, Julia (Wiley, 2022-01)
    Objective To incorporate chronic vascular adaptations into a mathematical model of the rat hindlimb to simulate flow restoration following total occlusion of the femoral artery. Methods A vascular wall mechanics model ...
  • Bezerra, Luan; Mukhin, Evgeny (Springer, 2021-04)
    We introduce and study the quantum toroidal algebra Em|n(q1,q2,q3) associated with the superalgebra glm|n with m≠n, where the parameters satisfy q1q2q3 = 1. We give an evaluation map. The evaluation map is a surjective ...
  • Boukai, Ben (Redfame, 2020-07)
    Trading option strangles is a highly popular strategy often used by market participants to mitigate volatility risks in their portfolios. We propose a measure of the relative value of a delta-Symmetric Strangle and compute ...
  • Chotibut, Thiparat; Falniowski, Fryderyk; Misiurewicz, Michał; Piliouras, Georgios (Taylor & Francis, 2021)
    From a two-agent, two-strategy congestion game where both agents apply the multiplicative weights update algorithm, we obtain a two-parameter family of maps of the unit square to itself. Interesting dynamics arise on the ...
  • Ahn, Sungwoo; Rubchinsky, Leonid L. (Elsevier, 2020-04)
    The mechanisms and properties of synchronization of oscillating ecological populations attract attention because it is a fairly common phenomenon and because spatial synchrony may elevate a risk of extinction and may lead ...
  • Malaia, Evie A.; Ahn, Sungwoo; Rubchinsky, Leonid L. (Wiley, 2020-01)
    Autism spectrum disorder is increasingly understood to be based on atypical signal transfer among multiple interconnected networks in the brain. Relative temporal patterns of neural activity have been shown to underlie ...
  • Shen, Zhongmin; Sun, Liling (Springer, 2020-07)
    The notion of the Ricci curvature is defined for sprays on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of a projective spray is called the projective ...
  • Bleher, Pavel M.; Silva, Guilherme L. F. (AMS, 2020)
    The normal matrix model with algebraic potential has gained a lot of attention recently, partially in virtue of its connection to several other topics as quadrature domains, inverse potential problems and the Laplacian ...

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