CAS: Mathematics & Statistics: Scholarly Papers
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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
(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
(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
(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
(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
(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
(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
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
(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
(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
(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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