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Fei Cao's user avatar
Fei Cao's user avatar
Fei Cao's user avatar
Fei Cao
  • Member for 4 years, 4 months
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About

Currently a Visiting Assistant Professor at the University of Massachusetts Amherst . Hobbies: Naruto/Boruto, Detective Conan, NBA, Yu-Gi-Oh! (a trading card game, I am a semi-professional Yu-Gi-Oh! player by the way), etc. Email: [email protected]. I am glad to discuss mathematics and potential research collaboration possibilities with you via email. I am interested in partial differential equations, stochastic processes, interacting particle systems, and theoretical machine learning. I will be looking for a tenure-track position starting at 2025 Fall semester. Google scholar profile: https://scholar.google.com/citations?user=ev7IXh0AAAAJ&hl=en&authuser=1
Personal website: https://feicao1995.github.io/

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Top posts
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question
11
Modified energy method for transformed Fokker-Planck equation (tricky integration by parts…)
Aug 8, 2020
question
8
Lower bound $\int_0^1 \frac{|f'(x)|^2}{f} \,\mathrm{d} x$ by $\int_0^1 |f-1|^2\, \mathrm{d} x$
Apr 4, 2023
question
5
Random time change from Oksendal's SDE textbook
Jul 26, 2021
question
4
Reference request: showing that solution of an Ito SDE stays bounded with positive probability
Sep 13, 2023
question
4
Show that $\frac{1}{2 \pi i} \oint_{\mathbb{S}^1} \frac{1-\hat{f}(\xi)}{1-\xi}\cdot \frac{\mathrm{d} \xi}{\xi^{n+1}} \to 0$ as $n \to \infty$
Aug 13, 2023
question
4
Iterated Duhamel's formula for solutions of Boltzmann equation
Jul 6, 2023
question
3
A possible error in Villani's monograph "Hypocoercivity"
Mar 13, 2021
question
3
Another question from Villani's monograph "Hypocoercivity"
Mar 22, 2021
question
3
possibility of bounding one functional by another functional
Jun 30, 2021
answer
3
Looking for access to McKean's original paper?
Jul 11, 2021
Top network posts
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13
prove a challenging inequality or find a counterexample to it
8
Prove that $0\le\int_0^1\log(u){\rm d}x+\frac1{2\pi^2}\int_0^1\frac1{u^2}\left(\frac{{\rm d}u}{{\rm d}x}\right)^2{\rm d}x$
8
A possible bug in a highly cited paper (Adam gradient descent)?
8
Competitions in the applications for postdoc positions (Applied Math)
7
Modified Energy Method for Transformed Fokker-Planck Equation (Tricky Integration by parts...)