World's Best Scientists 2026 revealed!

Research.com Recognitions

  • 2014 - Fellow of the American Mathematical Society For contributions at the interface between probability and analysis.

Overview

Rodrigo Bañuelos is affiliated with Purdue University West Lafayette in the United States and specializes in Mathematics, with a focus on Applied Mathematics, Mathematical Physics, Numerical Analysis, Computational Theory and Mathematics, and Finance. Their research encompasses a variety of advanced mathematical topics and methods.

Bañuelos has published extensively in several academic venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Transactions of the American Mathematical Society
  • Proceedings of the American Mathematical Society
  • Journal of the London Mathematical Society
  • Journal of Functional Analysis

Their research topics cover:

  • Advanced Harmonic Analysis Research
  • Advanced Banach Space Theory
  • Mathematical Analysis and Transform Methods
  • Mathematical Approximation and Integration
  • Advanced Mathematical Modeling in Engineering
  • Spectral Theory in Mathematical Physics
  • Stochastic processes and financial applications

Some recent papers authored by Bañuelos include:

  • "Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian," 2020, arXiv (Cornell University)
  • "Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian," 2023, Transactions of the American Mathematical Society
  • "Burkholder's function and a weighted ℒ² bound for stochastic integrals," 2020, Proceedings of the American Mathematical Society
  • "The ℓp norm of the Riesz-Titchmarsh transform for even integer p," 2024, Journal of the London Mathematical Society
  • "Multiplier theorems via martingale transforms," 2021, Journal of Functional Analysis

Frequent co-authors of Rodrigo Bañuelos include:

  • Adam Osękowski
  • Phanuel Mariano
  • Michał Brzozowski
  • Mateusz Kwaśnicki
  • Daesung Kim

In 2014, Bañuelos was recognized as a Fellow of the American Mathematical Society for contributions at the interface between probability and analysis.

Best Publications

  • Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms

    Rodrigo Bañuelos;Gang Wang

  • On the “Hot Spots” Conjecture of J. Rauch

    Rodrigo Banuelos;Krzysztof Burdzy

  • Brownian motion in cones

    Rodrigo Bañuelos;Robert G. Smits

  • Intrinsic ultracontractivity and eigenfunction estimates for Schrodinger operators

    Rodrigo Bañuelos

  • The Cauchy process and the Steklov problem

    Rodrigo Bañuelos;Tadeusz Kulczycki;Tadeusz Kulczycki

  • $L^p$--bounds for the Beurling--Ahlfors transform

    Rodrigo Bañuelos;Prabhu Janakiraman

  • Brownian motion and the fundamental frequency of a drum

    Rodrigo Bañuelos;Tom Carroll

  • Space-time Brownian motion and the Beurling-Ahlfors transform

    Rodrigo Banuelos;Pedro J. Mendez-Hernandez

  • Levy processes and Fourier multipliers

    Rodrigo Bañuelos;Krzysztof Bogdan

  • The foundational inequalities of D. L. Burkholder and some of their ramifications

    Rodrigo Bañuelos

  • Hölder domains and the boundary Harnack principle

    Rodrigo Bañuelos;Richard F. Bass;Krzysztof Burdzy

  • Probabilistic behavior of harmonic functions

    Rodrigo Bañuelos;Charles N. Moore

  • Martingale transforms and related singular integrals

    Rodrigo Bañuelos

  • A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes

    Rodrigo Banuelos;Rafał Latała;Pedro J. Mendez-Hernandez

  • The First Exit Time of Planar Brownian Motion from The Interior Of a Parabola

    Rodrigo Bañuelos;R.Dante DeBlassie;Robert Smits

  • Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains

    Rodrigo Bañuelos;Burgess Davis

  • Torsional rigidity and expected lifetime of Brownian motion

    Rodrigo Bañuelos;M. Van Den Berg;Tom Carroll

  • On the trace of symmetric stable processes on Lipschitz domains

    Rodrigo Bañuelos;Tadeusz Kulczycki;Tadeusz Kulczycki;Bartłomiej Siudeja

  • Sharp Inequalities for Heat Kernels of Schrödinger Operators and Applications to Spectral Gaps

    Rodrigo Bañuelos;Pedro J. Méndez-Hernández

  • L'evy processes and Fourier multipliers

    Rodrigo Bañuelos;Krzysztof Bogdan

Frequent Co-Authors

Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Bernt Øksendal
Bernt Øksendal University of Oslo
Richard F. Bass
Richard F. Bass University of Connecticut

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