Mariusz Mirek

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All published works

Action	Title	Year	Authors
+ PDF Chat	The multilinear circle method and a question of Bergelson	2024	Dariusz Kosz Mariusz Mirek Sarah Peluse James Wright
+	Polynomial progressions in topological fields	2024	Ben Krause Mariusz Mirek Sarah Peluse James Wright
+ PDF	Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres	2023	Alex Iosevich Bartosz Langowski Mariusz Mirek Tomasz Szarek
+ PDF Chat	Dimension-Free Estimates for the Discrete Spherical Maximal Functions	2023	Mariusz Mirek Tomasz Szarek Błażej Wróbel
+	Polynomial ergodic theorems in the spirit of Dunford and Zygmund	2023	Dariusz Kosz Bartosz Langowski Mariusz Mirek Paweł Plewa
+ PDF	Polynomial sequences in discrete nilpotent groups of step 2	2023	Alexandru D. Ionescu Ákos Magyar Mariusz Mirek Tomasz Szarek
+ PDF	On a multi-parameter variant of the Bellow–Furstenberg problem	2023	Jean Bourgain Mariusz Mirek Elias M. Stein James Wright
+ PDF	Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives	2022	Mariusz Mirek Tomasz Z. Szarek James Wright
+ PDF Chat	Some remarks on oscillation inequalities	2022	Mariusz Mirek Wojciech Słomian Tomasz Szarek
+ PDF Chat	Some remarks on dimension-free estimates for the discrete Hardy—Littlewood maximal functions	2022	Dariusz Kosz Mariusz Mirek Paweł Plewa Błażej Wróbel
+ PDF	Polynomial averages and pointwise ergodic theorems on nilpotent groups	2022	Alexandru D. Ionescu Ákos Magyar Mariusz Mirek Tomasz Szarek
+ PDF Chat	Pointwise ergodic theorems for non-conventional bilinear polynomial averages	2022	Ben Krause Mariusz Mirek Terence Tao
+	Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives	2022	Mariusz Mirek Tomasz Z. Szarek James Wright
+	On a multi-parameter variant of the Bellow-Furstenberg problem	2022	Jean Bourgain Mariusz Mirek Elias M. Stein James Wright
+	Polynomial progressions in topological fields	2022	Ben Krause Mariusz Mirek Sarah Peluse James Wright
+	Polynomial sequences in discrete nilpotent groups of step 2	2022	Alexandru D. Ionescu Ákos Magyar Mariusz Mirek Tomasz Z. Szarek
+ PDF Chat	Polynomial averages and pointwise ergodic theorems on nilpotent groups	2021	Alexandru D. Ionescu Ákos Magyar Mariusz Mirek Tomasz Z. Szarek
+ PDF Chat	On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective	2021	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	Polynomial averages and pointwise ergodic theorems on nilpotent groups	2021	Alexandru D. Ionescu Ákos Magyar Mariusz Mirek Tomasz Z. Szarek
+	Some remarks on oscillation inequalities	2021	Mariusz Mirek Wojciech Słomian Tomasz Z. Szarek
+	Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres	2021	Alex Iosevich Bartosz Langowski Mariusz Mirek Tomasz Z. Szarek
+ PDF Chat	A bootstrapping approach to jump inequalities and their applications	2020	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich
+	Jump inequalities for translation-invariant operators of Radon type on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>	2020	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich
+	On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates	2020	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	Pointwise ergodic theorems for non-conventional bilinear polynomial averages	2020	Ben Krause Mariusz Mirek Terence Tao
+	Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions	2020	Dariusz Kosz Mariusz Mirek Paweł Plewa Błażej Wróbel
+	Dimension-free estimates for the discrete spherical maximal functions	2020	Mariusz Mirek Tomasz Z. Szarek Błażej Wróbel
+ PDF Chat	Jump inequalities via real interpolation	2019	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich
+	Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd	2019	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+ PDF	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2018	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in $\mathbb Z^d$	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ R d	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	On discrete Hardy-Littlewood maximal functions over the balls in $\mathbb Z^d$: dimension-free estimates	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in $\mathbb Z^d$	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+ PDF Chat	Square function estimates for discrete Radon transforms	2017	Mariusz Mirek
+ PDF	Two-parameter version of Bourgain's inequality: Rational frequencies	2017	Ben Krause Mariusz Mirek Bartosz Trojan
+	$$\ell ^p\left( \mathbb {Z}^d\right) $$ ℓ p Z d -estimates for discrete operators of Radon type: variational estimates	2017	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	On dimension-free variational inequalities for averaging operators in $\mathbb R^d$	2017	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+ PDF Chat	A local T(b) theorem for perfect multilinear Calderón–Zygmund operators	2017	Mariusz Mirek Christoph Thiele
+ PDF Chat	On the Hardy–Littlewood majorant problem for arithmetic sets	2016	Ben Krause Mariusz Mirek Bartosz Trojan
+ PDF Chat	Discrete maximal functions in higher dimensions and applications to ergodic theory	2016	Mariusz Mirek Bartosz Trojan
+	L^p(Z^d)-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	Variational estimates for averages and truncated singular integrals along the prime numbers	2015	Mariusz Mirek Bartosz Trojan Pavel Zorin‐Kranich
+ PDF Chat	Weak type (1, 1) inequalities for discrete rough maximal functions	2015	Mariusz Mirek
+ PDF	Roth's theorem in the Piatetski-Shapiro primes	2015	Mariusz Mirek
+	A local $T(b)$ theorem for perfect multilinear Calder\'{o}n-Zygmund operators	2015	Mariusz Mirek Christoph Thiele
+ PDF Chat	Cotlar’s Ergodic Theorem Along the Prime Numbers	2015	Mariusz Mirek Bartosz Trojan
+	Two-parameter version of Bourgain's inequality: Rational frequencies	2015	Ben Krause Mariusz Mirek Bartosz Trojan
+	On the Hardy--Littlewood majorant problem for arithmetic sets	2015	Ben Krause Mariusz Mirek Bartosz Trojan
+	L^p(Z^d)-estimates for discrete operators of Radon type: Variational estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	$\ell^p\big(\mathbb Z^d\big)$-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	A local $T(b)$ theorem for perfect multilinear Calderón-Zygmund operators	2015	Mariusz Mirek Christoph Thiele
+	$$\ell ^p({\mathbb {Z}})$$ ℓ p ( Z ) —Boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems	2014	Mariusz Mirek
+	Discrete maximal functions in higher dimensions and applications to ergodic theory	2014	Mariusz Mirek Bartosz Trojan
+	$\ell^p(\mathbb{Z})$ -- boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems	2014	Mariusz Mirek
+	Discrete maximal functions in higher dimensions and applications to ergodic theory	2014	Mariusz Mirek Bartosz Trojan
+	Cotlar's ergodic theorem along the prime numbers	2013	Mariusz Mirek Bartosz Trojan
+	Weak type (1, 1) inequalities for discrete rough maximal functions	2013	Mariusz Mirek
+	Roth's Theorem in the Piatetski-Shapiro primes	2013	Mariusz Mirek
+	Heavy tailed solutions of multivariate smoothing transforms	2013	Dariusz Buraczewski Ewa Damek Sebastian Mentemeier Mariusz Mirek
+	Weak type (1, 1) inequalities for discrete rough maximal functions	2013	Mariusz Mirek
+	Roth's Theorem in the Piatetski-Shapiro primes	2013	Mariusz Mirek
+	Cotlar's ergodic theorem along the prime numbers	2013	Mariusz Mirek Bartosz Trojan
+ PDF	On fixed points of a generalized multidimensional affine recursion	2012	Mariusz Mirek
+ PDF Chat	Convergence to Stable Laws for Multidimensional Stochastic Recursions: The Case of Regular Matrices	2012	Ewa Damek Sebastian Mentemeier Mariusz Mirek Jacek Zienkiewicz
+	On fixed points of a generalized multidimensional affine recursion	2011	Mariusz Mirek
+ PDF Chat	Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems	2011	Dariusz Buraczewski Ewa Damek Mariusz Mirek
+	On fixed points of a generalized multidimensional affine recursion	2011	Mariusz Mirek
+	Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems	2010	Dariusz Buraczewski Ewa Damek Mariusz Mirek
+ PDF	Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps	2010	Mariusz Mirek
+ PDF	Convergence to stable laws and a local limit theorem for stochastic recursions	2010	Mariusz Mirek
+	Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems	2010	Dariusz Buraczewski Ewa Damek Mariusz Mirek
+	Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps	2009	Mariusz Mirek
+	Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps	2009	Mariusz Mirek

Common Coauthors

Coauthor	Papers Together
Elias M. Stein	18
Bartosz Trojan	16
Błażej Wróbel	12
Jean Bourgain	11
Ben Krause	8
Tomasz Z. Szarek	8
James Wright	7
Alexandru D. Ionescu	5
Tomasz Szarek	5
Ewa Damek	5
Ákos Magyar	5
Dariusz Buraczewski	4
Pavel Zorin‐Kranich	4
Dariusz Kosz	4
Sarah Peluse	3
Bartosz Langowski	3
Paweł Plewa	3
Christoph Thiele	3
Sebastian Mentemeier	2
Wojciech Słomian	2
Terence Tao	2
Alex Iosevich	2
Jacek Zienkiewicz	1
Elias M. Stein Błażej Wróbel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain	22
+ PDF	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain	20
+ PDF	$L^p$ boundedness of discrete singular Radon transforms	2005	Alexandru D. Ionescu Stephen Wainger	19
+ PDF	Strong variational and jump inequalities in harmonic analysis	2008	Roger L. Jones Andreas Seeger James Wright	18
+ PDF Chat	Discrete Analogues in Harmonic Analysis: Spherical Averages	2002	Ákos Magyar E. M. Stein Stephen Wainger	17
+	On the pointwise ergodic theorem onL p for arithmetic sets	1988	Jean Bourgain	15
+	Discrete analogues in harmonic analysis, I: ℓ 2 estimates for singular radon transforms	1999	Elias M. Stein Stephen Wainger	15
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	14
+	$$\ell ^p\left( \mathbb {Z}^d\right) $$ ℓ p Z d -estimates for discrete operators of Radon type: variational estimates	2017	Mariusz Mirek Elias M. Stein Bartosz Trojan	13
+ PDF Chat	Universally L 1-bad arithmetic sequences	2011	Patrick LaVictoire	13
+ PDF Chat	Discrete maximal functions in higher dimensions and applications to ergodic theory	2016	Mariusz Mirek Bartosz Trojan	12
+ PDF	Discrete Radon transforms and applications to ergodic theory	2007	Alexandru D. Ionescu Elias M. Stein Ákos Magyar Stephen Wainger	12
+ PDF	Divergent square averages	2010	Zoltán Buczolich R. Daniel Mauldin	12
+ PDF Chat	A bootstrapping approach to jump inequalities and their applications	2020	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich	10
+ PDF	Additive number theory: the classical bases	1997	S Axier E Gehring Paul R. Halmos Melvyn B. Nathanson S Axler F. W. Gehring	10
+ PDF	Implicit Renewal Theory and Tails of Solutions of Random Equations	1991	Charles M. Goldie	9
+ PDF Chat	On the Hardy-Littlewood maximal function for the cube	2014	Jean Bourgain	9
+ PDF	An almost-orthogonality principle with applications to maximal functions associated to convex bodies	1986	Anthony Carbery	9
+ PDF Chat	Jump inequalities via real interpolation	2019	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich	9
+	Discrete Analogues in Harmonic Analysis	2009	Lillian B. Pierce	9
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	9
+	On High Dimensional Maximal Functions Associated to Convex Bodies	1986	Jean Bourgain	9
+ PDF Chat	Estimates for the square variation of partial sums of Fourier series and their rearrangements	2012	Allison Lewko Mark Lewko	8
+	The Pjateckiĭ-S̆apiro prime number theorem	1983	D. R. Heath‐Brown	8
+	Maximal and singular integral operators via Fourier transform estimates	1986	Javier Duoandikoetxea J.-L. Rubio de Francia	8
+	Variation estimates for averages along primes and polynomials	2014	Pavel Zorin‐Kranich	8
+	Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.	1970	Elias M. Stein	8
+ PDF	A geometric bound for maximal functions associated to convex bodies	1990	Detlef Müller	8
+	Polynomial Ergodic Averages Converge Rapidly: Variations on a Theorem of Bourgain	2014	Ben Krause	8
+ PDF	Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets	2018	Luc Deleaval Olivier Guédon B. Maurey	8
+	Oscillation in ergodic theory	1998	R. W. L. Jones Robert Kaufman Joseph Rosenblatt Μáté Wierdl	7
+ PDF	The development of square functions in the work of A. Zygmund	1982	E. M. Stein	7
+	On theL p-bounds for maximal functions associated to convex bodies inR n	1986	Jean Bourgain	7
+ PDF	Oscillatory integrals related to Carleson’s theorem	2001	Elias M. Stein Stephen Wainger	7
+	Pointwise ergodic theorem along the prime numbers	1988	Μáté Wierdl	7
+	Jump inequalities for translation-invariant operators of Radon type on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>	2020	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich	7
+ PDF	Multidimensional van der Corput and sublevel set estimates	1999	Anthony Carbery Michael Christ James Wright	7
+ PDF	ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS	1968	A. P. Calderón	7
+	Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness	2001	Hubert Hennion Loı̈c Hervé	7
+	Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd	2019	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel	6
+	On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ R d	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel	6
+	Ergodic averaging sequences	2005	Michael Boshernitzan Grigori Kolesnik Anthony Quas Μáté Wierdl	6
+	The Distribution of Prime Numbers in Sequences of the Form [<i>f</i> (<i>n</i> )]	1977	Dieter Leitmann	6
+ PDF	Convergence to stable laws for a class of multidimensional stochastic recursions	2009	Dariusz Buraczewski Ewa Damek Yves Guivarc’h	6
+	Oscillation and variation inequalities for convolution powers	2001	R. W. L. Jones Karin Reinhold	6
+	Discrete analogues in harmonic analysis II: Fractional integration	2000	E. M. Stein Stephen Wainger	6
+	Some Optimizations for (Maximal) Multipliers in $L^p$	2014	Ben Krause	6
+	Stability of the spectrum for transfer operators	1999	Gerhard Keller Carlangelo Liverani	6
+ PDF	Two discrete fractional integrals	2001	Daniel M. Oberlin	6
+	The Bilinear Maximal Functions Map into L p for 2/3 < p ≤ 1	2000	Michael T. Lacey	6