Publications

Quantitative bounds in a popular polynomial Szemerédi theorem

X. Shao; M. Wang 

Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2025.  p. 1 – 27. DOI : 10.1017/prm.2025.10103.

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The Density Finite Sums Theorem

B. Kra; J. Moreira; F. K. Richter; D. Robertson 

INVENTIONES MATHEMATICAE. 2025. DOI : 10.1007/s00222-025-01371-8.

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On multiplicative recurrence along linear patterns

D. Charamaras; A. Mountakis; K. Tsinas 

Journal of the London Mathematical Society. 2025. Vol. 112, num. 3. DOI : 10.1112/jlms.70292.

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On Recurrence for Zd-Weyl Systems

S. Donoso; F. Hernandez; A. Maass 

MONATSHEFTE FUR MATHEMATIK. 2025. DOI : 10.1007/s00605-025-02088-9.

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Finding product sets in some classes of amenable groups

D. Charamaras; A. Mountakis 

FORUM OF MATHEMATICS SIGMA. 2025. Vol. 13. DOI : 10.1017/fms.2024.155.

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MEAN VALUE THEOREMS IN MULTIPLICATIVE SYSTEMS AND JOINT ERGODICITY OF ADDITIVE AND MULTIPLICATIVE ACTIONS

D. Charamaras 

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2025. DOI : 10.1090/tran/9321.

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Smooth numbers are orthogonal to nilsequences

L. Matthiesen; M. Wang 

Algebra and Number Theory. 2025. Vol. 19, num. 10, p. 1881 – 1946. DOI : 10.2140/ant.2025.19.1881.

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PROBLEMS ON INFINITE SUMSET CONFIGURATIONS IN THE INTEGERS AND BEYOND

B. Kra; J. Moreira; F. Richter; D. Robertson 

Bulletin of the American Mathematical Society. 2025. Vol. 62, num. 4, p. 537 – 574. DOI : 10.1090/bull/1868.

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Topics at the Interface of Ergodic Theory, Number Theory, and Combinatorics

D. Charamaras / F. K. Richter (Dir.)  

Lausanne, EPFL, 2025. 

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INTERPOLATION SETS FOR DYNAMICAL SYSTEMS

A. Koutsogiannis; A. n. Le; J. Moreira; R. Pavlov; F. K. Richter 

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2024. num. 2, p. 1373 – 1400. DOI : 10.1090/tran/9300.

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On the Local Fourier Uniformity Problem for Small Sets

A. Kanigowski; M. Lemańczyk; F. K. Richter; J. Teräväinen 

International Mathematics Research Notices. 2024. Vol. 2024, num. 15, p. 11488 – 11512. DOI : 10.1093/imrn/rnae134.

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Additive and geometric transversality of fractal sets in the integers

D. Glasscock; J. Moreira; F. K. Richter 

Journal Of The London Mathematical Society-Second Series. 2024. Vol. 109, num. 5, p. e12902. DOI : 10.1112/jlms.12902.

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Multiple ergodic averages along functions from a Hardy field: Convergence, recurrence and combinatorial applications

V. Bergelson; J. Moreira; F. K. Richter 

Advances In Mathematics. 2024. Vol. 443, p. 109597. DOI : 10.1016/j.aim.2024.109597.

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ON THE MAXIMAL SPECTRAL TYPE OF NILSYSTEMS

E. Ackelsberg; F. K. Richter; O. R. Shalom 

Proceedings of the American Mathematical Society, Series B. 2024. Vol. 11, num. 1, p. 469 – 480. DOI : 10.1090/bproc/229.

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On the multiplicative independence between n and ⌊αn⌋

D. Crnčević; F. Hernández; K. Rizk; K. Sereesuchart; R. Tao 

Acta Arithmetica. 2024. Vol. 213, num. 3, p. 193 – 226. DOI : 10.4064/aa230115-18-2.

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A Proof of Erdős’s B + B + T Conjecture

B. Kra; J. Moreira; F. K. Richter; D. Robertson 

Communications of the American Mathematical Society. 2024. Vol. 4, p. 480 – 494. DOI : 10.1090/cams/34.

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A quantitative bound on Furstenberg–Sárközy patterns with shifted prime power common differences in primes

M. Wang 

Mathematische Annalen. 2024. DOI : 10.1007/s00208-024-03015-3.

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A combinatorial proof of a sumset conjecture of Furstenberg

D. Glasscock; J. Moreira; F. K. Richter; F. K. Richter 

Combinatorica. 2023. DOI : 10.1007/s00493-023-00008-9.

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Zero-one laws for eventually always hitting points in rapidly mixing systems

D. Kleinbock; I. Konstantoulas; F. K. Richter 

Mathematical Research Letters. 2023. Vol. 30, num. 3, p. 765 – 805. DOI : 10.4310/MRL.2023.v30.n3.a7.

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Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions

V. Bergelson; F. K. Richter 

Duke Mathematical Journal. 2022. Vol. 171, num. 15, p. 3133 – 3200. DOI : 10.1215/00127094-2022-0055.

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On Katznelson’s Question for skew-product systems

D. Glasscock; A. Koutsogiannis; F. K. Richter 

Bulletin of the American Mathematical Society. 2022. Vol. 59, p. 569 – 606. DOI : 10.1090/bull/1764.

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A new elementary proof of the Prime Number Theorem

F. K. Richter 

Bulletin of the London Mathematical Society. 2021. Vol. 53, num. 5, p. 1365 – 1375. DOI : 10.1112/blms.12503.

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Additive and geometric transversality of fractal sets in the integers

D. Glasscock; J. Moreira; F. K. Richter 

arXiv. 2021. 

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A decomposition of multicorrelation sequences for commuting transformations along primes

A. N. Le; J. Moreira; F. K. Richter 

Discrete Analysis. 2021.  p. 22056. DOI : 10.19086/da.22056.

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Structure of multicorrelation sequences with integer part polynomial iterates along primes

A. Koutsogiannis; A. Le; J. Moreira; F. K. Richter 

Proceedings of the American Mathematical Society. 2021. Vol. 149, num. 1, p. 209 – 216. DOI : 10.1090/proc/15185.

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Zero-one laws for eventually always hitting points in in rapidly mixing systems

D. Kleinbock; I. Konstantoulas; F. K. Richter 

arXiv. 2020. 

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Single and multiple recurrence along non-polynomial sequences

V. Bergelson; J. Moreira; F. K. Richter 

Advances in Mathematics. 2020. Vol. 368, p. 107146. DOI : 10.1016/j.aim.2020.107146.

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Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications

V. Bergelson; J. Moreira; F. K. Richter 

arXiv. 2020. 

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Uniform distribution in nilmanifolds along functions from a Hardy field

F. K. Richter 

arXiv. 2020. 

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A Structure Theorem for Level Sets of Multiplicative Functions and Applications

V. Bergelson; J. Kułaga-Przymus; M. Lemańczyk; F. K. Richter 

International Mathematics Research Notices. 2020. Vol. 2020, num. 5, p. 1300 – 1345. DOI : 10.1093/imrn/rny040.

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Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

V. Bergelson; J. Kułaga-Przymus; M. Lemańczyk; F. K. Richter 

Ergodic Theory and Dynamical Systems. 2019. Vol. 39, num. 9, p. 2332 – 2383. DOI : 10.1017/etds.2017.130.

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A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

J. Moreira; F. K. Richter 

Ergodic Theory and Dynamical Systems. 2019. Vol. 39, num. 4, p. 1042 – 1070. DOI : 10.1017/etds.2017.61.

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Multiplicative combinatorial properties of return time sets in minimal dynamical systems

D. Glasscock; A. Koutsogiannis; F. K. Richter 

Discrete & Continuous Dynamical Systems. 2019. Vol. 39, num. 10, p. 5891. DOI : 10.3934/dcds.2019258.

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A generalization of Kátai’s orthogonality criterion with applications

V. Bergelson; J. Kułaga-Przymus; M. Lemańczyk; F. K. Richter 

Discrete & Continuous Dynamical Systems. 2019. Vol. 39, num. 5, p. 2581. DOI : 10.3934/dcds.2019108.

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A proof of a sumset conjecture of Erdős

J. Moreira; F. K. Richter; D. Robertson 

Annals of Mathematics. 2019. Vol. 189, num. 2, p. 605 – 652. DOI : 10.4007/annals.2019.189.2.4.

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Revisiting the nilpotent polynomial Hales–Jewett theorem

J. H. Johnson; F. K. Richter 

Advances in Mathematics. 2017. Vol. 321, p. 269 – 286. DOI : 10.1016/j.aim.2017.09.033.

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Disjointness for measurably distal group actions and applications

J. Moreira; F. K. Richter; D. Robertson 

Ergodic Theory and Dynamical Systems. 2017.  p. 1 – 28. DOI : 10.1017/etds.2022.19.

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On the Density of Coprime Tuples of the Form (n, ⌊f_1(n)⌋, …, ⌊f_k(n)⌋), Where f_1, …, f_k Are Functions from a Hardy Field

V. Bergelson; F. K. Richter 

Number Theory – Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy’s 60th Birthday; Cham: Springer International Publishing, 2017. p. 109 – 135.

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Large subsets of discrete hypersurfaces in Z^d contain arbitrarily many collinear points

J. Moreira; F. K. Richter 

European Journal of Combinatorics. 2016. Vol. 54, num. C, p. 163 – 176. DOI : 10.1016/j.ejc.2015.12.012.

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