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  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 ...
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  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 ...
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  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 ...
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  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 ...
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  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 ...
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  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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  Almost abelian Artin representations of Q 

  Rohrlich, D.
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  Appendix: Ray class characters of bounded order and bounded conductor 

  Rohrlich, D. (Academic Press, 2017-04)
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  A wavelet whittle estimator of the memory parameter of a nonstationary Gaussian time series 

  Moulines, E.; Roueff, F.; Taqqu, M. S. (2008-08)

  We consider a time series X=Xk, k∈ℤ with memory parameter d0∈ℝ. This time series is either stationary or can be made stationary after differencing a finite number of times. We study the “local Whittle wavelet estimator” ...
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  Asymptotic properties of U-processes under long-range dependence 

  Levy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A. (INST MATHEMATICAL STATISTICS, 2011-06-01)

  Let (Xi)i≥1 be a stationary mean-zero Gaussian process with covariances $\rho(k)=\mathbb {E}(X_{1}X_{k+1})$ satisfying ρ(0) = 1 and ρ(k) = k−DL(k), where D is in (0, 1), and L is slowly varying at infinity. Consider the ...

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