CAS: Mathematics & Statistics: Scholarly Works
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URI: http://hdl.handle.net/2144/1002
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A biophysical model of striatal microcircuits suggests delta/theta - rhythmically interleaved gamma and beta oscillations mediate periodicity in motor control
(Public Library of Science (PLoS), 2019) -
Slopes of modular forms and reducible Galois representations: an oversight in the ghost conjecture
The ghost conjecture, formulated by this article’s authors, predicts the list of p-adic valuations of the non-zero ap-eigenvalues (“slopes”) for overconvergent p-adic modular eigenforms in terms of the Newton polygon ... -
p-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou - I
Let p be an odd prime. Given an imaginary quadratic field K = Q(sqrt(−D_K) where p splits with D_K > 3, and a p-ordinary newform f ∈ Sk(Γ0(N)) such that N verifies the Heegner hypothesis relative to K, we prove a p-adic ... -
Functional Gaussian approximations in Hilbert spaces: the non-diffusive case
We develop a functional Stein-Malliavin method in a non-diffusive Poissonian setting, thus obtaining a) quantitative central limit theorems for approximation of arbitrary nondegenerate Gaussian random elements taking ... -
Some examples of family Floer mirrors
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi- Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel-Siebert for suitably chosen log ... -
The Torelli theorem for ALH∗ gravitational instantons
We give a short proof of the Torelli theorem for ALH∗ gravitational instantons, using the authors' previous construction of mirror special Lagrangian fibrations in del Pezzo surfaces and rational elliptic surfaces together ... -
Scattering diagrams from holomorphic discs in log Calabi-Yau surfaces
We construct special Lagrangian fibrations for log Calabi-Yau surfaces, and scattering diagrams from Lagrangian Floer theory of the fibres. Then we prove that the scattering diagrams recover the scattering diagrams of ... -
The Mutational signature comprehensive analysis toolkit (musicatk) for the discovery, prediction, and exploration of mutational signatures
(2021-12-01)Mutational signatures are patterns of somatic alterations in the genome caused by carcinogenic exposures or aberrant cellular processes. To provide a comprehensive workflow for preprocessing, analysis, and visualization ... -
The problem of perfect predictors in statistical spike train models
(Neurons Behavior Data Analysis and Behavior, 2021-08-23)
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