Daniel Glasscock

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All published works

Action	Title	Year	Authors
+	Simultaneous approximation in nilsystems and the multiplicative thickness of return-time sets	2024	Daniel Glasscock
+ PDF Chat	Dynamically syndetic sets and the combinatorics of syndetic, idempotent filters	2024	Daniel Glasscock Anh N. Le
+ PDF Chat	Additive and geometric transversality of fractal sets in the integers	2024	Daniel Glasscock Joel Moreira Florian K. Richter
+ PDF Chat	A combinatorial proof of a sumset conjecture of Furstenberg	2023	Daniel Glasscock Joel Moreira Florian K. Richter
+ PDF Chat	On Katznelson’s Question for skew-product systems	2022	Daniel Glasscock Andreas Koutsogiannis Florian Richter
+	Simultaneous approximation in nilsystems and the multiplicative thickness of return-time sets	2022	Daniel Glasscock
+	On Katznelson's Question for skew product systems	2021	Daniel Glasscock Andreas Koutsogiannis Florian K. Richter
+	A combinatorial proof of a sumset conjecture of Furstenberg	2021	Daniel Glasscock Joel Moreira Florian K. Richter
+	Additive transversality of fractal sets in the reals and the integers	2020	Daniel Glasscock Joel Moreira Florian K. Richter
+	On the interplay between additive and multiplicative largeness and its combinatorial applications	2020	Vitaly Bergelson Daniel Glasscock
+	Additive and geometric transversality of fractal sets in the integers	2020	Daniel Glasscock Joel Moreira Florian K. Richter
+	A perturbed Khinchin-type theorem and solutions to linear equations in Piatetski-Shapiro sequences	2019	Daniel Glasscock
+ PDF Chat	Multiplicative combinatorial properties of return time sets in minimal dynamical systems	2019	Daniel Glasscock Andreas Koutsogiannis Florian K. Richter
+ PDF Chat	Shift equivalence in the generalized factor order	2018	Jennifer Fidler Daniel Glasscock Brian K. Miceli Jay Pantone Min Xu
+ PDF Chat	Multiplicative richness of additively large sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><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>	2018	Vitaly Bergelson Daniel Glasscock
+	A Khintchine-type theorem and solutions to linear equations in Piatetski-Shapiro sequences	2018	Daniel Glasscock
+	Norm forms represent few integers but relatively many primes	2017	Daniel Glasscock
+	Algebraic, analytic, and geometric notions of largeness for subsets of Zd and their applications	2017	Daniel Glasscock
+	Norm forms represent few integers but relatively many primes	2017	Daniel Glasscock
+ PDF Chat	Solutions to certain linear equations in Piatetski-Shapiro sequences	2016	Daniel Glasscock
+	What is a graphon	2016	Daniel Glasscock
+	Interplay between notions of additive and multiplicative largeness	2016	Vitaly Bergelson Daniel Glasscock
+ PDF Chat	Marstrand-type Theorems for the Counting and Mass Dimensions in ℤ	2016	Daniel Glasscock
+	Multiplicative richness of additively large sets in $\mathbb{Z}^d$	2016	Vitaly Bergelson Daniel Glasscock
+	On the interplay between notions of additive and multiplicative largeness and its combinatorial applications	2016	Vitaly Bergelson Daniel Glasscock
+	Shift equivalence in the generalized factor order	2016	Jennifer Fidler Daniel Glasscock Brian K. Miceli Jay Pantone Min Xu
+	What is a graphon?	2016	Daniel Glasscock
+	Solutions to certain linear equations in Piatetski-Shapiro sequences	2015	Daniel Glasscock
+	What Is...a Graphon	2015	Daniel Glasscock
+	Solutions to certain linear equations in Piatetski-Shapiro sequences	2015	Daniel Glasscock

Common Coauthors

Coauthor	Papers Together
Florian K. Richter	7
Joel Moreira	5
Vitaly Bergelson	5
Andreas Koutsogiannis	3
Brian K. Miceli	2
Jennifer Fidler	2
Jay Pantone	2
Anh N. Le	1
Florian Richter	1
Min Xu	1
Min Xu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	7
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	6
+	Topological dynamics and combinatorial number theory	1978	Hillel Fürstenberg Bernard Weiss	6
+	RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY	1982	L. N. Vaserstein	6
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	5
+ PDF Chat	Set-Polynomials and Polynomial Extension of the Hales-Jewett Theorem	1999	Vitaly Bergelson A. Leibman	4
+	Multiplicatively large sets and ergodic Ramsey theory	2005	Vitaly Bergelson	4
+	Partition Regular Structures Contained in Large Sets Are Abundant	2001	Vitaly Bergelson Neil Hindman	4
+	Finite sums from sequences within cells of a partition of N	1974	Neil Hindman	4
+ PDF Chat	Nonmetrizable topological dynamics and Ramsey theory	1990	Vitaly Bergelson Neil Hindman	4
+	An ergodic Szemerédi theorem for IP-systems and combinatorial theory	1985	Hillel Fürstenberg Yitzhak Katznelson	4
+	Multiplicative structures in additively large sets	2005	Mathias Beiglböck Vitaly Bergelson Neil Hindman Dona Strauss	4
+	On IP* sets and central sets	1994	Vitaly Bergelson Neil Hindman	4
+ PDF Chat	Finite products sets and minimally almost periodic groups	2016	Vitaly Bergelson John Christopherson Donald Robertson Pavel Zorin‐Kranich	3
+	On the interplay between additive and multiplicative largeness and its combinatorial applications	2020	Vitaly Bergelson Daniel Glasscock	3
+ PDF Chat	Distribution of values of bounded generalized polynomials	2007	Vitaly Bergelson A. Leibman	3
+ PDF Chat	The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems	2010	Vitaly Bergelson A. Leibman Tamar Ziegler	3
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	3
+	Revisiting the nilpotent polynomial Hales–Jewett theorem	2017	John H. Johnson Florian K. Richter	3
+ PDF Chat	Polynomial recurrence with large intersection over countable fields	2016	Vitaly Bergelson Donald Robertson	3
+	Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions	1954	J. M. Marstrand	3
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	3
+	Representations of algebraic integers by binary quadratic forms and norm forms from full modules of extension fields	1978	R. W. K. Odoni	3
+ PDF Chat	A Marstrand Theorem for Subsets of Integers	2013	Yuri Lima Carlos Gustavo Moreira	3
+ PDF Chat	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	3
+	D-function of a minimal set and an extension of Sharkovskii's theorem to minimal sets	1992	Xiangdong Ye	2
+ PDF Chat	Partitions and sums and products of integers	1979	Neil Hindman	2
+	On Weyl sums and skew products over irrational rotations	1989	Peter Hellekalek Gerhard Larcher	2
+ PDF Chat	Theory of Dimension for Large Discrete Sets and Applications	2014	Alex Iosevich M. Rudnev Ignacio Uriarte-Tuero	2
+	Reply to a paper by M T Barlow and S J Taylor (Fractional dimension of sets in discrete systems)	1989	Jan Naudts	2
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg	2
+ PDF Chat	Studien zur Kombinatorik	1933	Richard Rado	2
+ PDF Chat	Some new examples of recurrence and non-recurrence sets for products of rotations on the unit circle	2013	Sophie Grivaux Maria Roginskaya	2
+	An Inversion Theorem for Cluster Decompositions of Sequences with Distinguished Subsequences	1979	I. P. Goulden D. M. Jackson	2
+	Application of Banach limits to the study of sets of integers	1988	Yuval Peres	2
+ PDF Chat	Noninvertible minimal maps	2001	S. F. Kolyada Ľubomír Snoha Sergei Trofımchuk	2
+ PDF Chat	Variations on topological recurrence	2015	Bernard Host Bryna Kra Alejandro Maass	2
+	On some arithmetical functions	1958	Hubert Delange	2
+	On minimal actions of Polish groups	1998	Eli Glasner	2
+ PDF Chat	On two recurrence problems	2009	Michael Boshernitzan Eli Glasner	2
+	Central Sets and Their Combinatorial Characterization	1996	Neil Hindman Amir Maleki Dona Strauss	2
+	Chromatic Numbers of Cayley Graphs on Z and Recurrence	2001	Yitzhak Katznelson	2
+ PDF Chat	Sumsets in difference sets	2009	Vitaly Bergelson Imre Z. Ruzsa	2
+	Transcendental and algebraic numbers	1960	А. О. Гелъфонд	2
+	Piecewise-Bohr Sets of Integers and Combinatorial Number Theory	2007	Vitaly Bergelson Hillel Fürstenberg Benjamin Weiss	2
+	Weyl Sums and Diophantine Approximation	1982	Roger C. Baker	2
+	Fractional dimension of sets in discrete spaces	1989	Martin T. Barlow S. J. Taylor	2
+	Dimension of discrete fractal spaces	1988	Jan Naudts	2
+ PDF Chat	Regularity and positional games	1963	Alfred W. Hales Robert I. Jewett	2
+ PDF Chat	A combinatorial proof of Marstrand’s theorem for products of regular Cantor sets	2011	Yuri Lima Carlos Gustavo Moreira	2