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Discrete analysis
Year 2021
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Sharp density bounds on the finite field Kakeya problem
Boris Bukh; Ting-Wei Chao

Boolean functions on $S_n$ which are nearly linear
Yuval Filmus

Sorting probability for large Young diagrams
Swee Hong Chan; Igor Pak; Greta Panova

Stronger arithmetic equivalence
Andrew V. Sutherland

Simple proofs for Furstenberg sets over finite fields
Manik Dhar; Zeev Dvir; Ben Lund

The Bombieri-Vinogradov theorem for nilsequences
Xuancheng Shao; Joni Teräväinen

Universality of the minimum modulus for random trigonometric polynomials
Nicholas A. Cook; Hoi H. Nguyen

Larger Corner-Free Sets from Better NOF Exactly-$N$ Protocols
Nati Linial; Adi Shraibman

Multiple recurrence and large intersections for abelian group actions
Ethan Ackelsberg; Vitaly Bergelson; Andrew Best

Khovanskii's theorem and effective results on sumset structure
Michael J. Curran; Leo Goldmakher

Random multilinear maps and the Erdős box problem
David Conlon; Cosmin Pohoata; Dmitriy Zakharov

The structure of translational tilings in $\mathbb{Z}^d$
Rachel Greenfeld; Terence Tao

Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case
Collin Bleak; Peter J. Cameron; Feyishayo Olukoya

Counting monochromatic solutions to diagonal Diophantine equations
Sean Prendiville

A question of Bukh on sums of dilates
Brandon Hanson; Giorgis Petridis

Tiling by translates of a function: results and open problems
Mihail N. Kolountzakis; Nir Lev

Multivariate Polynomial Values in Difference Sets
John R. Doyle; Alex Rice

Quantitative invertibility of random matrices: a combinatorial perspective
Vishesh Jain

Separating Bohr denseness from measurable recurrence
John T. Griesmer

Patterns without a popular difference
Ashwin Sah; Mehtaab Sawhney; Yufei Zhao

Irreducibility of random polynomials of bounded degree
Huy Tuan Pham; Max Wenqiang Xu

On sets containing a unit distance in every direction
Pablo Shmerkin; Han Yu

The sixth moment of the Riemann zeta function and ternary additive divisor sums
Nathan Ng

A decomposition of multicorrelation sequences for commuting transformations along primes
Anh N. Le; Joel Moreira; Florian K. Richter

Geometric random graphs and Rado sets of continuous functions
Anthony Bonato; Jeannette Janssen; Anthony Quas

Sidorenko's conjecture for blow-ups
David Conlon; Joonkyung Lee

Convolutions of sets with bounded VC-dimension are uniformly continuous
Olof Sisask
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