BK
Ben Krause
math.CAmath.DSmath.NTmath.COmath.PRmath.FAmath.MG
On Valency
published · living versionsW_zjhqb3wu·v1 · currentpublished
A Hierarchical Online-Compression Approach to Proportional Subsets of Bounded Orthonormal Systems
with Will Burstein, Alex Iosevich
1 version
W_uqdn93v7·v1published
Preprints & journals
45 papers in the corpus · 2013–2026Bourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure bounds2609.12566v1 · Will Burstein, Alex Iosevich, Ben Krause2026 · 0 citationsarXivon Valency
Endpoint Estimates for Stein's Purely Quadratic Carleson Operator2609.04101v2 · Anastasios Fragkos, Ben Krause, Michael Lacey2026 · 0 citationsarXiv
Quantitative bounds for sets lacking polynomial progressions with shifted prime difference2608.19525v1 · Ben Krause, Hamed Mousavi, Terence Tao et al.2026 · 0 citationsarXiv
Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets2607.16064v1 · F'elix Brokering Pinilla, Alex Iosevich, Ben Krause2026 · 0 citationsarXiv
A Variation Norm Carleson Theorem Along the Primes2607.05560v1 · Anastasios Fragkos, Ben Krause, Nazar Miheisi et al.2026 · 0 citationsarXiv
Double Recurrence and Almost Sure Convergence: Primes and Weighted Theory2603.22203v2 · Jan Fornal, Ben Krause2026 · 0 citationsarXiv
The Wiener Wintner Theorem Along the Primes2601.10459v3 · Jan Fornal, Anastasios Fragkos, Ben Krause et al.2026 · 0 citationsarXiv
On Multi-linear Maximal Operators Along Homogeneous Curves2508.09080v1 · Lars Becker, Ben Krause2025 · 0 citationsPacific J. Math. 342 (2026) 207-216
On Polynomial Progressions Inside Sets of Large Dimension2508.04680v3 · Ben Krause, Ana de Orellana2025 · 0 citationsarXiv
Quantitative Convergence for Sparse Ergodic Averages in 2504.12510v2 · Ben Krause, Yu-Chen Sun2025 · 0 citationsarXiv
An Approach To Endpoint Problems in Oscillatory Singular Integrals2502.19302v1 · Alex Iosevich, Ben Krause, Hamed Mousavi2025 · 0 citationsarXiv
Multi-Frequency Oscillation Estimates Arising in Pointwise Ergodic Theory2502.12887v3 · Ben Krause2025 · 0 citationsarXiv
Pointwise convergence of bilinear polynomial averages over the primes2409.10510v2 · Ben Krause, Hamed Mousavi, Terence Tao et al.2024 · 0 citationsErgod. Th. Dynam. Sys. 45 (2025) 3760-3799
Averages over the Gaussian Primes: Goldbach's Conjecture and Improving Estimates2309.14249v2 · Christina Giannitsi, Ben Krause, Michael Lacey et al.2023 · 0 citationsarXiv
Pointwise Ergodic Theory: Examples and Entropy2301.01511v1 · Ben Krause2023 · 0 citationsarXiv
Polynomial progressions in topological fields2210.00670v4 · Ben Krause, Mariusz Mirek, Sarah Peluse et al.2022 · 4 citationsForum of Mathematics, Sigma 12 (2024) e106
Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: bounds for 2107.14616v2 · Ben Krause, Joris Roos2021 · 1 citationJ. Funct. Anal. 281, no. 10, 110123, 2023
Pointwise ergodic theorems for non-conventional bilinear polynomial averages2008.00857v2 · Ben Krause, Mariusz Mirek, Terence Tao2020 · 29 citationsarXiv
On Maximal Functions With Curvature2003.13460v3 · Ben Krause2020 · 0 citationsarXiv
Directional maximal function along the primes1909.13319v1 · Laura Cladek, Polona Durcik, Ben Krause et al.2019 · 0 citationsarXiv
Averages Along the Primes: Improving and Sparse Bounds1909.02883v2 · Rui Han, Ben Krause, Michael Lacey et al.2019 · 8 citationsarXiv
Discrete analogues of maximally modulated singular integrals of Stein-Wainger type1907.00405v3 · Ben Krause, Joris Roos2019 · 2 citationsJ. Eur. Math. Soc. 24, no. 9, 3183-3213, 2022
Discrete Fractional Integration Operators Along the Primes1905.02767v1 · Ben Krause2019 · 0 citationsarXiv
A Non-Linear Roth Theorem for Fractals of Sufficiently Large Dimension1904.10562v2 · Ben Krause2019 · 5 citationsarXiv
Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in 1901.06070v2 · Laura Cladek, Ben Krause2019 · 1 citationarXiv
A Non-Linear Roth Theorem for Sets of Positive Density1901.01371v1 · Ben Krause2019 · 4 citationsarXiv
Discrete Analogoues in Harmonic Analysis: Maximally Monomially Modulated Singular Integrals Related to Carleson's Theorem1803.09431v3 · Ben Krause2018 · 5 citationsarXiv
A Uniform Random Pointwise Ergodic Theorem1708.05022v1 · Ben Krause, Pavel Zorin-Kranich2017 · 0 citationsarXiv
Bilinear generalized Radon transforms in the plane1704.00861v1 · Allan Greenleaf, Alex Iosevich, Ben Krause et al.2017 · 3 citationsarXiv
Sparse Bounds for Maximally Truncated Oscillatory Singular Integrals1701.05249v2 · Ben Krause, Michael T. Lacey2017 · 12 citationsarXiv
On Convergence of Oscillatory Ergodic Hilbert Transforms1610.04968v3 · Ben Krause, Michael Lacey, M'at'e Wierdl2016 · 5 citationsarXiv
Sparse Bounds for Random Discrete Carleson Theorems1609.08701v1 · Ben Krause, Michael T. Lacey2016 · 12 citationsarXiv
Sparse Bounds for Maximal Monomial Oscillatory Hilbert Transforms1609.01564v2 · Ben Krause, Michael T. Lacey2016 · 5 citationsarXiv
A Discrete Carleson Theorem Along the Primes with a Restricted Supremum1604.08695v1 · Laura Cladek, Kevin Henriot, Ben Krause et al.2016 · 5 citationsarXiv
A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a Restricted Supremum1512.06918v3 · Ben Krause, Michael Lacey2015 · 3 citationsarXiv
Measures of polynomial growth and classical convolution inequalities1410.1436v2 · Alex Iosevich, Ben Krause, Eric Sawyer et al.2014 · 1 citationarXiv
A random pointwise ergodic theorem with Hardy field weights1410.0806v2 · Ben Krause, Pavel Zorin-Kranich2014 · 4 citationsIllinois J. Math. 59.3 (2015), pp. 663-674
Weighted and vector-valued variational estimates for ergodic averages1409.7120v2 · Ben Krause, Pavel Zorin-Kranich2014 · 24 citationsErgodic Theory Dynam. Systems 38.1 (2018), pp. 244-256
The Maximal Function and Square Function Control the Variation: An Elementary Proof1408.1213v3 · Kevin Hughes, Ben Krause, Bartosz Trojan2014 · 1 citationarXiv
(Uniform) Convergence of Twisted Ergodic Averages1407.4736v3 · Tanja Eisner, Ben Krause2014 · 16 citationsErgod. Th. Dynam. Sys. 36 (2016) 2172-2202
Dimension-Free -Maximal Inequalities in 1406.7229v3 · Jordan Greenblatt, Alexandra Kolla, Ben Krause2014 · 1 citationarXiv
Polynomial Ergodic Averages Converge Rapidly: Variations on a Theorem of Bourgain1402.1803v1 · Ben Krause2014 · 29 citationsarXiv
Some Optimizations for (Maximal) Multipliers in 1402.1804v1 · Ben Krause2014 · 8 citationsarXiv
Dimension-free Maximal Inequalities for Spherical Means in the Hypercube1309.4466v4 · Ben Krause2013 · 2 citationsarXiv
On Higher-Dimensional Oscillation in Ergodic Theory1309.2336v3 · Ben Krause2013 · 2 citationsarXiv
Career total: 70 works. 45 are in this corpus.
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