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URI: http://hdl.handle.net/2144/1002

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  • Binocular fusion and invariant category learning due to predictive remapping during scanning of a depthful scene with eye movements 

    Grossberg, Stephen; Srinivasan, Karthik; Yazdanbakhsh, Arash (FRONTIERS MEDIA SA, 2015-01-14)
    How does the brain maintain stable fusion of 3D scenes when the eyes move? Every eye movement causes each retinal position to process a different set of scenic features, and thus the brain needs to binocularly fuse new ...
  • Laver and set theory 

    Kanamori, Akihiro (Springer Heidelberg, 2016-02-01)
    In this commemorative article, the work of Richard Laver is surveyed in its full range and extent.
  • Cantor and continuity 

    Kanamori, Akihiro (Oxford University Press, 2019)
    Georg Cantor (1845-1919), with his seminal work on sets and number, brought forth a new field of inquiry, set theory, and ushered in a way of proceeding in mathematics, one at base infinitary, topological, and combinatorial. ...
  • Kriesel and Wittgenstein 

    Kanamori, Akihiro (College Publications, 2019)
    Georg Kreisel (15 September 1923 - 1 March 2015) was a formidable mathematical logician during a formative period when the subject was becoming a sophisticated field at the crossing of mathematics and logic. Both with ...
  • An unstructured mesh convergent reaction-diffusion master equation for reversible reactions 

    Isaacson, Samuel A.; Zhang, Ying (Elsevier, 2018-12-01)
    The convergent reaction-diffusion master equation (CRDME) was recently developed to provide a lattice particle-based stochastic reaction-diffusion model that is a convergent approximation in the lattice spacing to an ...
  • Gross fibration, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds 

    Lau, Siu-Cheong; Chan, Kwokwai; Cho, Cheol-Hyun; Tseng, Hsian-Hua (International Press, 2016)
    Given a toric Calabi-Yau orbifold X, we define and study a non-toric Lagrangian torus fibration on X, which we call the Gross fibration. We apply the SYZ recipe to a suitable modification of the Gross fibration of X to ...
  • Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P 1 a,b,c 

    Lau, S. C.
    This paper gives a new way of constructing Landau–Ginzburg mirrors usingdeformation theory of Lagrangian immersions motivated by the works of Seidel,Strominger –Yau–Zaslow and Fukaya–Oh–Ohta–Ono. Moreover, we construct ...
  • Lagrangian Floer potential of orbifold spheres 

    Cho, Cheol-Hyun; Hong, Hansol; Kim, Sang-hyun; Lau, Siu-Cheong (2017-01)
    For each sphere with three orbifold points, we construct an algorithm to compute the open Gromov–Witten potential, which serves as the quantum-corrected Landau–Ginzburg mirror and is an infinite series in general. This ...
  • Open Gromov–Witten invariants, mirror maps, and Seidel representations for toric manifolds 

    Chan, Kwokwai; Lau, Siu-Cheong; Leung, Naichung Conan; Tseng, Hsian-Hua (2017-06)
    Let X be a compact toric Kähler manifold with −KX nef. Let L⊂X be a regular fiber of the moment map of the Hamiltonian torus action on X. Fukaya, Oh, Ohta, and Ono defined open Gromov–Witten (GW) invariants of X as virtual ...
  • Quaternionic Artin representations of Q 

    Rohrlich, D. (Cambridge University Press, 2017-07)
    Isomorphism classes of dihedral Artin representations of ℚ can be counted asymptotically using Siegel's asymptotic averages of class numbers of binary quadratic forms. Here we consider the analogous problem for quaternionic ...

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