Rodrigo Bañuelos

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Rodrigo Bañuelos is affiliated with the following schools: University of California, Berkeley, University of California, Los Angeles, Princeton University, Stanford University, Purdue University

Rodrigo Bañuelos's AcademicInfluence.com Rankings

Rodrigo Bañuelos

Mathematics

#6771

World Rank

#9319

Historical Rank

Measure Theory

#3580

World Rank

#4222

Historical Rank

mathematics Degrees

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Mathematics

Rodrigo Bañuelos's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Rodrigo Bañuelos Influential?

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According to Wikipedia, Rodrigo Bañuelos is an American mathematician and a professor of mathematics at Purdue University in West Lafayette, Indiana. His research is in probability and its applications to harmonic analysis and spectral theory.

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Rodrigo Bañuelos's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms (1995) (207)
On the “Hot Spots” Conjecture of J. Rauch (1999) (157)
The Cauchy process and the Steklov problem (2004) (109)
Brownian motion in cones (1997) (109)
Intrinsic ultracontractivity and eigenfunction estimates for Schrodinger operators (1991) (106)
$L^p$--bounds for the Beurling--Ahlfors transform (2008) (89)
Space-time Brownian motion and the Beurling-Ahlfors transform (2003) (86)
Brownian motion and the fundamental frequency of a drum (1994) (83)
Levy processes and Fourier multipliers (2006) (78)
The foundational inequalities of D.L. Burkholder and some of their ramifications (2010) (61)
Probabilistic behavior of harmonic functions (1999) (58)
Martingale transforms and related singular integrals (1986) (53)
A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes (2001) (52)
Torsional Rigidity and Expected Lifetime of Brownian Motion (2002) (51)
Trace estimates for stable processes (2007) (51)
The First Exit Time of Planar Brownian Motion from The Interior Of a Parabola (2001) (48)
On the Traces of symmetric stable processes on Lipschitz domains (2009) (43)
Eigenvalue inequalities for mixed Steklov problems (2009) (41)
Hölder domains and the boundary Harnack principle (1991) (41)
Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains (1989) (40)
Sharp Inequalities for Heat Kernels of Schrödinger Operators and Applications to Spectral Gaps (2000) (38)
On the Shape of the Ground State Eigenfunction for Stable Processes (2004) (38)
Symmetric Stable Processes in Cones (2004) (38)
A Martingale Study of the Beurling–Ahlfors Transform inRn (1997) (38)
Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space (2013) (35)
MARTINGALES AND SHARP BOUNDS FOR FOURIER MULTIPLIERS (2011) (34)
A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions (1992) (33)
Fourier multipliers for non-symmetric L\'evy processes (2010) (31)
Martingale Transforms and Their Projection Operators on Manifolds (2011) (29)
Heat trace of non‐local operators (2012) (29)
On the heat trace of schrödinger operators (1995) (27)
Eigenvalue gaps for the Cauchy process and a Poincaré inequality (2004) (25)
The exit distribution for iterated Brownian motion in cones (2004) (23)
Paraproducts and commutators of martingale transforms (1988) (23)
Orthogonal martingales under differential subordination and applications to Riesz transforms (1996) (22)
Dirichlet eigenfunctions for horn-shaped regions and laplacians on cross sections (1996) (21)
Davis's inequality for orthogonal martingales under differential subordination. (2000) (20)
Exit times for elliptic diffusions and BMO (1987) (20)
Brownian motion with killing and reflection and the ‘‘hot–spots’’ problem (2004) (20)
Hardy–Stein identities and square functions for semigroups (2015) (20)
Sharp estimates for Dirichlet eigenfunctions in Horn-Shaped regions (1992) (18)
An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm (1988) (18)
On the Bellman function of Nazarov, Treil and Volberg (2014) (18)
On the weak-type constant of the Beurling-Ahlfors transform (2009) (17)
Burkholder inequalities for submartingales, Bessel processes and conformal martingales (2011) (17)
An inequality for potentials and the "hot-spots" conjecture (2004) (17)
THE MAXIMAL EXPECTED LIFETIME OF BROWNIAN MOTION (2011) (17)
Sharp Estimates for Dirichlet Eigenfunctions in Simply Connected Domains (1996) (17)
Spectral Gap for the Cauchy Process on Convex, Symmetric Domains (2006) (17)
Symmetrization of Lévy processes and applications (2010) (15)
Gradient Estimates for the Ground State¶Schrödinger Eigenfunction and Applications (2001) (14)
Two-term trace estimates for relativistic stable processes (2013) (14)
Sharp inequalities for the Beurling–Ahlfors transform on radial functions (2013) (14)
Sharp integrability for Brownian motion in parabola-shaped regions (2003) (14)
Extremal Problems for Conditioned Brownian Motion and the Hyperbolic Metric (2000) (13)
Martingale transform and L\'evy Processes on Lie Groups (2012) (13)
Sharp estimates for the nontangential maximal function and the Lusin area function in Lipschitz domains (1989) (12)
Lifetime and Heat Kernel Estimates in Non-Smooth Domains (1992) (12)
A sharp good-$\lambda$ inequality with an application to Riesz transforms. (1988) (11)
Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality (2013) (11)
The lower bound in the law of the iterated logarithm for harmonic functions (1990) (10)
LOWER BOUND GRADIENT ESTIMATES FOR SOLUTIONS OF SCHRODINGER EQUATIONS AND HEAT KERNELS (1999) (10)
Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian (2020) (10)
Sharp Weighted $L^2$ inequalities for square functions (2016) (8)
Mean growth of Bloch functions and Makarov’s law of the iterated logarithm (1991) (8)
Distribution function inequalities for the density of the area integral (1991) (8)
Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. (1993) (8)
An isoperimetric-type inequality for integrals of Green's functions. (1995) (8)
Donald Burkholder's work in martingales and analysis (2010) (8)
Sharp Weak Type Inequalities for Fractional Integral Operators (2017) (7)
Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers (2016) (7)
Heat Content and Small Time Asymptotics for Schrödinger Operators on ℝd${\mathbb {R}}^{d}$ (2015) (7)
Sharp maximal $L^p$-estimates for martingales (2013) (7)
On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain (2013) (7)
Inradius and integral means for Green’s functions and conformal mappings (1998) (7)
On the ℓp-norm of the discrete Hilbert transform (2017) (7)
Addendum to: “Brownian motion and the fundamental frequency of a drum” (1996) (7)
Weighted ² inequalities for square functions (2017) (6)
Symmetric stable processes in parabola-shaped regions (2004) (6)
Symmetrization of L\'evy processes and applications (2009) (6)
Isoperimetric-type bounds for solutions of the heat equation (1997) (6)
Four unknown constants ∗ (2009) (6)
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. (2008) (6)
Hot-spots for conditioned Brownian motion (2006) (6)
Laws of the iterated logarithm, sharp good-λ inequalities and Lp-estimates for caloric and harmonic functions (1989) (6)
On Astala's theorem for martingales and Fourier multipliers (2013) (5)
Hardy–Stein identity for non-symmetric Lévy processes and Fourier multipliers (2019) (5)
SOME PROPERTIES OF α-HARMONIC MEASURE (2007) (5)
Weighted square function estimates (2017) (5)
A Stochastic Approach to Quasi-Everywhere Boundary Convergence of Harmonic Functions (1987) (5)
Trace asymptotics for subordinate semigroups (2013) (5)
The area integral and its density for BMO and VMO functions (1993) (5)
Neumann Bessel Heat Kernel Monotonicity (2009) (4)
Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions (1992) (4)
On the equal displacement aproximation for mid-rise reinforced concrete buildings (2019) (4)
Level sets of neumann eigenfunctions (2006) (4)
Heat content and small time asymptotics for Schr\"odinger operators on $R^d$ (2014) (3)
A note on martingale transforms and $A_{p}$-weights (1987) (3)
Gundy–Varopoulos martingale transforms and their projection operators on manifolds and vector bundles (2018) (3)
STRETCHING CONVEX DOMAINS AND THE HYPERBOLIC METRIC (2010) (3)
Analysis at Urbana: Some results in analysis related to the law of the iterated logarithm (1989) (2)
Neumann Heat kernel monotonicity (2007) (2)
On the operator ∧* and the Beurling-Ahlfors transform on radial functions (2014) (2)
Multiplier theorems via martingale transforms (2020) (2)
A representation of local time for Lipschitz surfaces (1990) (1)
Influence of some metal salts on the electroreduction of aryl ketones (1978) (1)
Burkholder’s function and a weighted $L^2$ bound for stochastic integrals (2020) (1)
On square functions and Fourier multipliers for nonlocal operators (2017) (1)
Sharp $\ell^p$ inequalities for discrete singular integrals (2022) (1)
Weighted norm inequalities for fractional maximal operators--a Bellman function approach (2013) (1)
On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain (2014) (0)
The $\ell^p$ norm of the Riesz--Titchmarsh transform for even integer $p$ (2022) (0)
On the Bellman function of Nazarov, Treil and Volberg (2014) (0)
Sharp Weak Type Inequalities for Fractional Integral Operators (2016) (0)
Basic Ideas and Tools (1999) (0)
Ju l 2 00 4 SYMMETRIC STABLE PROCESSES IN PARABOLA – SHAPED REGIONS (2004) (0)
Martingale Transforms and Their Projection Operators on Manifolds (2012) (0)
SP ] 2 M ar 2 01 0 EIGENVALUE INEQUALITIES FOR MIXED STEKLOV PROBLEMS (2021) (0)
The Classical LIL’s in Analysis (1999) (0)
P\'olya's inequality for the mixed Steklov problem (2009) (0)
Gundy–Varopoulos martingale transforms and their projection operators on manifolds and vector bundles (2019) (0)
Sharp Good-λ Inequalities for A and N (1999) (0)
Decomposition into Martingales: An Invariance Principle (1999) (0)
ABSTRACTS OF TALKS PRESENTED TO THE INDIANA (2016) (0)
PR ] 2 2 N ov 2 01 7 HARDY-STEIN IDENTITY FOR NON-SYMMETRIC LV́EY PROCESSES AND FOURIER MULTIPLIERS (2018) (0)
Martingales and the Beurling – Ahlfors operator , an overview ∗ (2005) (0)
WITHDRAWN: Hardy–Stein identity for non-symmetric Lévy processes and Fourier multipliers (2019) (0)
Talenti’s comparison theorem revisited (2018) (0)
Martingales transforms, related singular integrals, and A〓p〓-weights (1984) (0)
Kolmogorov’s LIL for Harmonic Functions (1999) (0)
A dual approach to Burkholder's Lp estimates (2020) (0)

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