CAS: Mathematics & Statistics: Scholarly Papers
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URI: http://hdl.handle.net/2144/1002
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Big quantum cohomology of orbifold spheres
(2020)We construct a Kodaira-Spencer map from the big quantum cohomology of a sphere with three orbifold points to the Jacobian ring of the mirror Landau-Ginzburg potential function. This is constructed via the Lagrangian Floer ... -
Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds
(International Press of Boston, 2020)We prove that for a compact toric manifold whose anticanonical divisor is numerically effective, the Lagrangian Floer superpotential defined by Fukaya–Oh–Ohto–Ono [15] is equal to the superpotential written down by using ... -
On the complex affine structures of SYZ fibration of Del Pezzo surfaces
(2020)Given any smooth cubic curve E ⊆ P^2, we show that the complex affine structure of the special Lagrangian fibration of P^2 ⧵ E constructed by Collins-Jacob-Lin [12] coincides with the affine structure used in ... -
SYZ mirror symmetry for hypertoric varieties
(Springer Science and Business Media LLC, 2020-02)We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using T-duality and generating functions of open Gromov–Witten invariants. The variety is singular in general. ... -
Single cell transcriptomics reveals opioid usage evokes widespread suppression of antiviral gene program
(Nature Research (part of Springer Nature), 2020-05-26)Chronic opioid usage not only causes addiction behavior through the central nervous system, but also modulates the peripheral immune system. However, how opioid impacts the immune system is still barely characterized ... -
Extensions of Rosenblatt's results on the asymptotic behavior of prediction error variance for deterministic stationary sequences
(2020-11-17)One of the main problem in prediction theory of discrete-time second-order stationary processes X(t) is to describe the asymptotic behavior of the best linear mean squared prediction error in predicting X(0) given X(t); ... -
Two recent p-adic approaches towards the (effective) Mordell conjecture
(Birkhauser, 2019) -
Equivariant SYZ mirror symmetry
(2019)In this talk, I explain a Morse model for the equivariant Lagrangian Floer theory, and apply it to SYZ fibers to construct an equivariant SYZ mirror. This method computes equivariant disc potentials for immersed SYZ ... -
Abstract, classic, and explicit turnpikes
(Springer Berlin Heidelberg, 2014)Portfolio turnpikes state that, as the investment horizon increases, optimal portfolios for generic utilities converge to those of isoelastic utilities. This paper proves three kinds of turn- pikes. In a general ... -
Robust portfolios and weak incentives in long-run investments
(2014)When the planning horizon is long, and the safe asset grows indefinitely, isoelastic portfolios are nearly optimal for investors who are close to isoelastic for high wealth, and not too risk averse for low wealth. We prove ...
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