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Discrete analysis
Year 2017
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Schwartz-Zippel bounds for two-dimensional products
Hossein Nassajian Mojarrad; Thang Pham; Claudiu Valculescu; Frank de Zeeuw

Ergodicity of the Liouville system implies the Chowla conjecture
Nikos Frantzikinakis

Fixed-energy harmonic functions
Aaron Abrams; Richard Kenyon

Set Reconstruction on the Hypercube
Luke Pebody

Notes on compact nilspaces
Pablo Candela

Notes on nilspaces: algebraic aspects
Pablo Candela

Sumsets as unions of sumsets of subsets
Jordan S. Ellenberg

Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions
Vera Mikyoung Hur; Mathew A. Johnson; Jeremy L. Martin

Fuglede's conjecture on cyclic groups of order $p^n q$
Romanos-Diogenes Malikiosis; Mihail N. Kolountzakis

On automorphism groups of Toeplitz subshifts
Sebastián Donoso; Fabien Durand; Alejandro Maass; Samuel Petite

From a Packing Problem to Quantitative Recurrence in $[0,1]$ and the Lagrange Spectrum of Interval Exchanges
Michael Boshernitzan; Vincent Delecroix

On distance sets, box-counting and Ahlfors-regular sets
Pablo Shmerkin

A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space
Shachar Lovett; Oded Regev

Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
Sébastien Gouëzel

Quasirandom Cayley graphs
David Conlon; Yufei Zhao

Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case
Sean Prendiville

Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior
Tristram Bogart; John Goodrick; Kevin Woods

On cap sets and the group-theoretic approach to matrix multiplication
Jonah Blasiak; Thomas Church; Henry Cohn; Joshua A. Grochow; Eric Naslund; William F. Sawin; Chris Umans

Approximating permanents and hafnians
Alexander Barvinok

Dvoretzky's Theorem and the Complexity of Entanglement Detection
Guillaume Aubrun; Stanislaw Szarek
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