Rodrigo Bañuelos
Mathematics · Purdue University West Lafayette
Publications
161
Citations
2,644
Est. group size
—
Recurring co-author estimate
Active years
43
Publishing since 1984
Rodrigo Bañuelos works in mathematical analysis, particularly harmonic analysis and probability theory, studying how tools like Brownian motion, martingales (a type of stochastic process), and singular integrals (specialized mathematical operators) can be used to derive precise bounds and inequalities in analysis. Much of the work connects probabilistic methods to classical problems about functions, transforms, and eigenvalues (values related to how systems like drums or heated surfaces vibrate or diffuse). This research is theoretical and aimed at establishing sharp, provable mathematical estimates rather than applied computation.
Publication output has been steady over the last decade, averaging about 2 papers per year with modest fluctuations and no clear increase or decline.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Sharp ℓ inequalities for discrete singular integrals on the lattice <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">Z</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>d</mml:mi> </mml:mrow> </mml:msup> </mml:math>
Journal of Functional Analysis · 2026
- Cotlar martingale transforms and related singular integrals
arXiv (Cornell University) · 2026
- Cotlar martingale transforms and related singular integrals
arXiv (Cornell University) · 2026
- Discrete analogues of second-order Riesz transforms
arXiv (Cornell University) · 2025
- Sharp two-weight inequality for fractional maximal operators
arXiv (Cornell University) · 2025
- The ℓp$\ell ^p$ norm of the Riesz–Titchmarsh transform for even integer p$p$
Journal of the London Mathematical Society · 2024
- On a conjecture of a Pólya functional for triangles and rectangles
arXiv (Cornell University) · 2024
- Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian
Transactions of the American Mathematical Society · 2023
- Sharp $\ell^p$ inequalities for discrete singular integrals on the lattice $\mathbb{Z}^d$
arXiv (Cornell University) · 2022
- The $\ell^p$ norm of the Riesz--Titchmarsh transform for even integer $p$
arXiv (Cornell University) · 2022
- Multiplier theorems via martingale transforms
Journal of Functional Analysis · 2021
- A dual approach to Burkholder's Lp estimates
Bulletin of the London Mathematical Society · 2021
- Burkholder’s function and a weighted 𝐿² bound for stochastic integrals
Proceedings of the American Mathematical Society · 2020
- Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian
arXiv (Cornell University) · 2020
- Burkholder's function and a weighted $L^2$ bound for stochastic integrals
arXiv (Cornell University) · 2020
- arXiv (Cornell University)×15
- Journal of the London Mathematical Society×2
- Transactions of the American Mathematical Society×2
- Proceedings of the American Mathematical Society×2
- Journal of Functional Analysis×2
- Liding Yao
Mathematics · The Ohio State University
- Shaoming Guo
Mathematics · Indiana University
- Ján Lang
Mathematics · The Ohio State University
- Ciprian Demeter
Mathematics · Indiana University
- Shukun Wu
Mathematics · Indiana University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile