CAS: Mathematics & Statistics: Scholarly Papers
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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, 20150114)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, 20160201)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 (18451919), 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 reactiondiffusion master equation for reversible reactions
(Elsevier, 20181201)The convergent reactiondiffusion master equation (CRDME) was recently developed to provide a lattice particlebased stochastic reactiondiffusion model that is a convergent approximation in the lattice spacing to an ... 
Gross fibration, SYZ mirror symmetry, and open GromovWitten invariants for toric CalabiYau orbifolds
(International Press, 2016)Given a toric CalabiYau orbifold X, we define and study a nontoric 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
(201701)For each sphere with three orbifold points, we construct an algorithm to compute the open Gromov–Witten potential, which serves as the quantumcorrected Landau–Ginzburg mirror and is an infinite series in general. This ... 
Open Gromov–Witten invariants, mirror maps, and Seidel representations for toric manifolds
(201706)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, 201707)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 ...