Books Published

Math Basecamp, American Mathematical Society, Open Textbook Project, 2018 Spring https://www.ams.org/open-math-notes/omn-view-listing?listingId=110771

Books (authored, edited)

Refereed Journal Publications

with Sovanlal Mondal and Joe Rosenblatt, "FLUCTUATION OF ERGODIC AVERAGES AND OTHER STOCHASTIC PROCESSES", 31 pages, https://arxiv.org/abs/2404.11507, accepted for publication by the Transactions of AMS.

E. Lesigne, A. Quas, J. Rosenblatt, M. Wierdl Generation of measures by statistics of rotations along sets of
  integers, https://arxiv.org/abs/2210.02233, 47 pages (Accepted for publication by Indiana J. of Math.)

S. Mondal, M. Roy, M. Wierdl, Sublacunary sequences that are strong sweeping out,
New York J. Math. 29 (2023) 1060–1074

Krause, Ben; Lacey, Michael; Wierdl, Máté On convergence of oscillatory ergodic Hilbert transforms. Indiana Univ. Math. J. 68 (2019), no. 2, 641–662.

Boshernitzan, Michael; Frantzikinakis, Nikos; Wierdl, Máté Under-recurrence in the Khintchine recurrence theorem. Israel J. Math. 222 (2017), no. 2, 815–840

Frantzikinakis, N. ; Lesigne, E. ; Wierdl, M. Random differences in Szemerédi's theorem and related results, Journal D'Analyse Mathematique, Vol. 130 (2016) , pg 91-133

Frantzikinakis, N. ; Lesigne, E. ; Wierdl, M. Random sequences and pointwise convergence of multiple ergodic averages. Indiana Univ. Math. J. 61 (2012), no. 2, 585--617.

Chan, T. H. ; Kumchev, A. V. ; Wierdl, M. Additive bases arising from functions in a Hardy field. Acta Math. Hungar. 129 (2010), no. 3, 263--276.

Frantzikinakis, N. ; Johnson, M. ; Lesigne, E. ; Wierdl, M. Powers of sequences and convergence of ergodic averages. Ergodic Theory Dynam. Systems 30 (2010), no. 5, 1431--1456.

Quas, Anthony ; Wierdl, Máté . Rates of divergence of non-conventional ergodic averages. Ergodic Theory Dynam. Systems 30 (2010), no. 1, 233--262.

Frantzikinakis, Nikos ; Wierdl, Máté . A Hardy field extension of Szemerédi's theorem. Adv. Math. 222 (2009), no. 1, 1--43.

Frantzikinakis, Nikos ; Lesigne, Emmanuel ; Wierdl, Máté . Powers of sequences and recurrence. Proc. Lond. Math. Soc. (3) 98 (2009), no. 2, 504--530.

Boshernitzan, Michael ; Wierdl, Máté . Almost-everywhere convergence and polynomials. J. Mod. Dyn. 2 (2008), no. 3, 465--470.

with Quas, Anthony, Ergodic averages along the squares, Handbook on Dynamical Systems, Hasselblatt, B and Katok, A. eds, 853--864, 2006

with Frantzikinakis, Nikos and  Lesigne, Emmanuel, Sets of $k$-recurrence but not $(k + 1)$-recurrence, Annales de l'Institute Fourier, 56/4, 839--849, 2006

with M. Boshernitzan, and A. Quas, "Ergodic averaging sequences", J. d'Analyse Math, Vol 95, 2005, 63-103

with E. Lesigne, and A. Quas, "Generic points in the Cartesian powers of the Morse dynamical system", Bull. Soc. Math. France 131, 2003, 435-464

with E. Lesigne, etal, "Random ergodic theorems and real cocycles", Israel J. of Math., 130, 2002, 285-321

with R. Jones, and J. Rosenblatt, "Oscillation in ergodic theory, higher dimensional results", Israel J. of Math, 135, 1-27, 2003.

with J. Campbell, R. Jones, and K. Reinhold. "Oscillation and variation for Singular integrals; higher dimensional results", Trans Amer. Math. Soc., 355 (5), 2115-2137, 2002

with J. Campbell, R. Jones, and K. Reinhold. "Oscillation and variation for the Hilbert transform". Duke J. Math., 105 (1) 59-83, 2000.

with R. Jones, J. Rosenblatt, "Oscillation inequalities for rectangles". Proc. Amer. Math. Soc., 129, no. 5, 1349-1358, 2001.

with R. Jones, J. Rosenblatt 'Counting in Ergodic Theory', Canada J. Math., Vol. 51 (5), 1999 996-1019.

with R. Jones, M. Lacey, "Integer Sequences with big gaps and the pointwise ergodic theorem" Ergodic Theory and Dynamical Syst. (1999), 19, 1295-1308.

with R. Jones, R. Kaufman, J. Rosenblatt, "Oscillation in ergodic theory" Ergodic Theory and Dynamical Syst.1998, 18, 889-935.

with no collaborators 'Perturbation of plane curves and sequences of integers', Ill. J. Math. (1998), 42, no. 1, 139-153.

with M. Akcoglu, A. Bellow, R. Jones, V. Losert, K. Reinhold-Larsson 'Strong sweeping out of ergodic averages, Riemann sums and related matters', Ergodic Th. and Dynamical Syst. (1996), 16, 207-253.

with M. Boshernitzan 'Ergodic theorems along sequences and Hardy fields', Proc. Natl. Acad. Sci. (1996), 93, no. 16, 8205-8207.

with R. Jones 'Convergence and divergence of ergodic averages'. Ergodic Th. and Dynamical Syst., 14, 1994 515-535.

with M. Lacey, K. Petersen, D. Rudolph 'Random ergodic theorems with universally representative sequences'. Ann. Inst. H. Poincar , 30 no. 3, 1994 353-395.

with no collaborators 'On the magnitude of the sum of bases of the natural numbers'. Bull. London Math. Soc., 25, 1993 316-320.

with R. Jones, J. Olsen 'Subsequence ergodic theorems for contractions'. Transactions of AMS, 331, no. 2, 1992 837-850.

with J. Rosenblatt 'A new maximal inequality and its applications'. Ergodic Theory and Dynamical Syst., 12, 1992 509-558.

with no collaborators 'Pointwise ergodic theorem along the prime numbers'. Israel. J. of Math., 64 no. 2, 1988 315-336.

with no collaborators 'Continuous functions that can be represented as a sum of finitely many periodic functions'. Mat. Lapok 1984.

Refereed Conference Publications

with M. Boshernitzan, R. Jones 'Integer and fractional parts of good averaging sequences for the pointwise ergodic theorem'. Proceedings to "Convergence in Ergodic Theory and ProbabilitY", Columbus, Ohio, Eds.: Bergelson/March/Rosenblatt, Walter de Gruyter and Company., Berlin, New York, 1996, 117-132.

with R. Jones 'Convergence of ergodic averages'. Proceedings to "Convergence in Ergodic Theory and Probability". Columbus Ohio, Eds.: Bergelson/March/Rosenblatt, Walter de Gruyter & Co., Berlin, New York, 1996, 229-247.

with J. Rosenblatt 'Pointwise ergodic theorems via harmonic analysis'. In: Ergodic theory and its connections with harmonic analysis, Proceedings of the Alexandria, 1993, conference (K. Peterson and I. Salama, editors), Cambridge University, 1995 3-151.

Presentations - Conference (refereed *)

2024 Nov. 27, Edinburgh, Scotland: talk at Maxwell Institute Mini symposium

2024 Sept 13, Warsaw, Poland: lecture at Contemporary Harmonic Analysis and its Synergies (Simons semester)

2024 Sept 6: talk in Wroclaw, Poland, at Contemporary Harmonic Analysis and its Synergies (Simons semesters)

2024 june 24-July 7, Bristol, UK: 5 lectures at Fourier analysis and ergodic theory conference

June 2023: Conference on Ergodic Theory and Fourier analysis, London, UK, 

Conference and workshop on Ergodic Theory, Bedlewo, Poland, 2023 spring

AMS special session, Ergodic Theory, Chattanooga, TN 2022 fall

2022 Spring Eastern Sectional Meeting of the American Mathematical Society

Théorie Ergodique, Probabilités et Interactions, University of Tours, Tours, France, 2019

Ergodic aspects of modern dynamics, 2018, Spring, Bedlewo, Poland

2016 Vienna, Austria, Randomness and Determinism in Number Theory

AMS sectional meeting in Ergodic Theory and Dynamical systems, Huntsville, AL

2015 Ergodic Theory and Additive Number Theory conference, Kristiansand, Norway

2015 Ergodic Theory conference, Eilat, Israel

2014 Wabash topology conference, University of Utah

2014 AMS speciall session, Knoxville, TN

2014 Conference on Ergodic theory and number theory, Torun, Poland

2013 Conference on Number theory and Dynamics, IMPA, Rio de Janeiro, Brazil

2013 Conference on Arithmetic and Ergodic Theory, Heraklion, Greece.

2011 Seminar talk, University of Crete, Heraklion, Greece.

Dynamics conference, Paris, 2009

2008 Mathematical Sciences Research Institute, Berkeley, Ergodic th and additive combinatorics special semester seminar

2008 University of Victoria, Northwest Dynamical System Conference to honor Karl Petersen

2007 University of Tours, France, Colloquium

AMS special session, Davidson College, 2007

Roger Jones' retirement conference, DePaul University, 2005

Katznelson 70th birthday conference, Stanford University

Harmonic Analysis, AMS Special Session, Georgia Tech

Ergodic Theory and Dynamical Systems, Paris, France

AMS Special Session in Ergodic Theory, Toronto, Canada

Conference on Ergodic Theory, Chranov, Czech Republic

Conference on Ergodic Theory and Dynamical systems, University of Maryland.

Convergence in Ergodic Theory and Probability, Columbus, Ohio.

Harmonic Analysis and Ergodic theory, Alexandria, Egyiptom.

Special session in Ergodic Theory, (AMS), The University of North Carolina, Chapel Hill.

Special session in Ergodic Theory, (AMS), Manhattan, Kansas.

Almost everywhere convergence in ergodic theory and probability theory, Northwestern University, Evanston

Presentations - Universities/Industry (refereed *)

2014 Colloquium talk, University of Victoria, Canada

2012 Colloquium talk, University of Alabama, Birmingham

2010 Colloquium talk, University of Tours, France.

Dynamical systems seminar, Rice university, 2007

Colloquium, University of Tours, France, 2006

Northwestern University, Dynamical Systems seminar, 2005

Colloquium talk, Penn. State

BIRS workshop in ergodic theory, Banff, Canada

Talks at colloquium and analysis seminar, University of Georgia

Colloquium talk, Marseilles, France

Probability Seminar, Charles University, Prague, Czech Republic.

Colloquium talk, University of Tours, Tours, France.

Colloquium talk, Rice University, Houston

Colloquium talk, University of North Dakota.

Analysis Seminar, University of Chicago, Chicago.

Colloquium talk, University of Wisconsin, Milwaukee.

Colloquium talk, DePaul University, Chicago

Appendix A

Appendix B

Appendix C

Appendix E