CAS: Mathematics & Statistics: Scholarly Papers
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URI: http://hdl.handle.net/2144/1002
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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 ... -
Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
(arXiv, 2018-12-20)We provide an inductive algorithm to compute the bulk-deformed potentials for toric Fano surfaces via wall-crossing techniques and a tropical-holomorphic correspondence theorem for holomorphic discs. As an application of ... -
Explicit Coleman integration for curves
(2020-01-13)The Coleman integral is a p-adic line integral that plays a key role in computing several important invariants in arithmetic geometry. We give an algorithm for explicit Coleman integration on curves, using the algorithms ... -
Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras
(2019-04-05)Let $X$ be a complex manifold, $\pi: E \rightarrow X$ a locally trivial holomorphic fibration with fiber $F$, and $\mathfrak{g}$ a Lie algebra with an invariant symmetric form. We associate to this data a holomorphic ... -
BowSaw: inferring higher-order trait interactions associated with complex biological phenotypes
(2019-11-12)Machine learning is helping the interpretation of biological complexity by enabling the inference and classification of cellular, organismal and ecological phenotypes based on large datasets, e.g. from genomic, transcriptomic ... -
The influence of molecular reach and diffusivity on the efficacy of membrane-confined reactions
(Biophysical Society, 2019)Signaling by surface receptors often relies on tethered reactions whereby an enzyme bound to the cytoplasmic tail of a receptor catalyzes reactions on substrates within reach. The overall length and stiffness of the receptor ... -
Interactions across multiple stimulus dimensions in primary auditory cortex
(Society for Neuroscience, 2016) -
Fast-food offerings in the United States in 1986, 1991, and 2016 show large increases in food variety, portion size, dietary energy, and selected micronutrients
(Elsevier, 2019-06)BACKGROUND US national survey data shows fast food accounted for 11% of daily caloric intake in 2007-2010. OBJECTIVE To provide a detailed assessment of changes over time in fast-food menu offerings over 30 years, ...
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