4 citations · 9 across the 12 of their papers we have counts for
14 papers
Targeted Modality Dropout for Real-Robot Manipulation Robust to Intermittent Vision Loss
Genki Shikada, Kazuki Osamura, Masaru Ide +2
Imitation learning policies that integrate multiple sensory modalities are prone to overreliance on a dominant modality, such as vision, during training, which can disrupt policy e…
Linnik's problem for multiplicative functions
Kaisa Matomäki, Joni Teräväinen
We study a multiplicative function analogue of Linnik's problem on the least prime in an arithmetic progression. Let be a multiplica…
On the Green-Tao theorem for sparse sets
Joni Teräväinen, Mengdi Wang
We establish the following quantitative form of the Green--Tao theorem: if a set of relative density within the primes up to contains no nontrivial arithmetic…
Quantitative correlations and some problems on prime factors of consecutive integers
Terence Tao, Joni Teräväinen
We consider several old problems involving the number of prime divisors function , as well as the related functions and . Firstly, we show that there are infinit…
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao +2
We study higher uniformity properties of the von Mangoldt function , the Möbius function , and the divisor functions on short intervals for almost all $x \in…
Bounds on the exceptional set in the conjecture
Christian Bernert, Tim Browning, Jared Duker Lichtman +1
We study solutions to the equation , where form a triple of coprime natural numbers. The conjecture asserts that, for any , such triples satisfy $\mathrm{…
A note on zero density results implying large value estimates for Dirichlet polynomials
Kaisa Matomäki, Joni Teräväinen
In this note we investigate connections between zero density estimates for the Riemann zeta function and large value estimates for Dirichlet polynomials. It is well known that esti…
Primes in arithmetic progressions and short intervals without -functions
Kaisa Matomäki, Jori Merikoski, Joni Teräväinen
We develop a sieve that can detect primes in multiplicatively structured sets under certain conditions. We apply it to obtain a new -function free proof of Linnik's problem of b…
Pointwise convergence of ergodic averages with Möbius weight
Joni Teräväinen
Let be a measure-preserving system, and let be polynomials with integer coefficients. We prove that, for any , the Möb…
On Elliott's conjecture and applications
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen
Let be a multiplicative function. Under the merely necessary assumption that is non-pretentious (in the sense of Granville and Soundararajan), we s…
The Exceptional Set in Goldbach's Problem with Almost Twin Primes
Lasse Grimmelt, Joni Teräväinen
We consider the exceptional set in the binary Goldbach problem for sums of two almost twin primes. Our main result is a power-saving bound for the exceptional set in the problem of…
Almost primes in almost all short intervals II
Kaisa Matomäki, Joni Teräväinen
We show that, for almost all , the interval contains products of exactly two primes. This improves on a work of the second author that had in plac…
Almost all alternating groups are invariably generated by two elements of prime order
Joni Teräväinen
We show that for all apart from exceptions, the alternating group is invariably generated by two elements of prime o…
Singmaster's conjecture in the interior of Pascal's triangle
Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao +2
Singmaster's conjecture asserts that every natural number greater than one occurs at most a bounded number of times in Pascal's triangle; that is, for any natural number …