Giorgis Petridis

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All published works

Action	Title	Year	Authors
+ PDF Chat	Almost orthogonal subsets of vector spaces over finite fields	2022	Ali Mohammadi Giorgis Petridis
+ PDF Chat	On the pinned distances problem in positive characteristic	2022	Thomas Brendan Murphy Giorgis Petridis Thang Pham Misha Rudnev Sophie Stevens
+ PDF Chat	A question of Bukh on sums of dilates	2021	Giorgis Petridis Brandon Hanson
+	A question of Bukh on sums of dilates	2020	Brandon Hanson Giorgis Petridis
+ PDF Chat	An Energy Bound in the Affine Group	2020	Giorgis Petridis Oliver Roche‐Newton Misha Rudnev Audie Warren
+ PDF Chat	Refined estimates concerning sumsets contained in the roots of unity	2020	Brandon Hanson Giorgis Petridis
+	On the Pinned Distances Problem over Finite Fields	2020	Thomas Brendan Murphy Giorgis Petridis Thang Pham Misha Rudnev Sophie Stevens
+ PDF Chat	Bounds of Trilinear and Trinomial Exponential Sums	2020	Simon Macourt Giorgis Petridis Ilya D. Shkredov Igor E. Shparlinski
+	A question of Bukh on sums of dilates	2020	Brandon Hanson Giorgis Petridis
+	An Energy Bound in the Affine Group	2019	Giorgis Petridis Oliver Roche‐Newton Misha Rudnev Audie Warren
+ PDF Chat	Bisectors and Pinned Distances	2019	Ben Lund Giorgis Petridis
+ PDF Chat	Bounds of Trilinear and Quadrilinear Exponential Sums	2019	Giorgis Petridis Igor E. Shparlinski
+	10. Pseudorandomness of large sets in finite fields	2019	Giorgis Petridis
+ PDF Chat	NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS	2019	Thomas Brendan Murphy Giorgis Petridis Oliver Roche‐Newton Misha Rudnev Ilya D. Shkredov
+	An example related to the Erdos-Falconer question over arbitrary finite fields	2019	Thomas Brendan Murphy Giorgis Petridis
+ PDF Chat	None	2018	Thomas Brendan Murphy Giorgis Petridis
+	On the number of dot products determined by a large set and one of its translates in finite fields	2017	Giorgis Petridis
+	Products of Differences over Arbitrary Finite Fields	2017	Thomas Brendan Murphy Giorgis Petridis
+	Pinned algebraic distances determined by Cartesian products in 𝔽_{𝕡}²	2017	Giorgis Petridis
+	A Second Wave of Expanders in Finite Fields	2017	Thomas Brendan Murphy Giorgis Petridis
+	Products of Differences over Arbitrary Finite Fields	2017	Brendan Murphy Giorgis Petridis
+	A Second Wave of Expanders over Finite Fields	2017	Brendan Murphy Giorgis Petridis
+ PDF Chat	Tiling sets and spectral sets over finite fields	2016	Charlotte Aten B. Ayachi E. Bau Daniel Fitzpatrick Alex Iosevich H. Liu Adam Lott I. MacKinnon Shir Maimon Siyu Nan
+	Collinear triples and quadruples for Cartesian products in $\mathbb{F}_p^2$	2016	Giorgis Petridis
+	Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$	2016	Giorgis Petridis
+	Bounds on trilinear and quadrilinear exponential sums	2016	Giorgis Petridis Igor E. Shparlinski
+	A point-line incidence identity in finite fields, and applications	2016	Thomas Brendan Murphy Giorgis Petridis
+	A point-line incidence identity in finite fields, and applications	2016	Thomas Brendan Murphy Giorgis Petridis
+	Products of Differences in Prime Order Finite Fields	2016	Giorgis Petridis
+	A point-line incidence identity in finite fields, and applications	2016	Brendan Murphy Giorgis Petridis
+	Collinear triples and quadruples for Cartesian products in $\mathbb{F}_p^2$	2016	Giorgis Petridis
+	Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$	2016	Giorgis Petridis
+	Bounds on trilinear and quadrilinear exponential sums	2016	Giorgis Petridis Igor E. Shparlinski
+	Tiling sets and spectral sets over finite fields	2015	Charlotte Aten B. Ayachi E. Bau Daniel Fitzpatrick Alex Iosevich H. Liu Adam Lott I. MacKinnon Shir Maimon S. Nan
+	On the Number of Dot Products Determined by a Large Set and One of its Translates in Finite Fields	2015	Giorgis Petridis
+ PDF Chat	The cardinality of sumsets: different summands	2015	Thomas Brendan Murphy Eyvindur A. Palsson Giorgis Petridis
+	The Plünnecke–Ruzsa Inequality: An Overview	2014	Giorgis Petridis
+	The Cardinality of Sumsets: Different Summands	2013	Thomas Brendan Murphy Eyvindur A. Palsson Giorgis Petridis
+ PDF Chat	Matchings in Random Biregular Bipartite Graphs	2013	Guillem Perarnau Giorgis Petridis
+	The <i>L</i><sup>1</sup>-norm of exponential sums in <sup><i>d</i></sup>	2013	Giorgis Petridis
+ PDF Chat	Upper bounds on the cardinality of higher sumsets	2013	Giorgis Petridis
+	The Cardinality of Sumsets: Different Summands	2013	Brendan Murphy Eyvindur A. Palsson Giorgis Petridis
+ PDF Chat	New proofs of Plünnecke-type estimates for product sets in groups	2012	Giorgis Petridis
+	Matchings in Random Biregular Bipartite Graphs	2012	Guillem Perarnau Giorgis Petridis
+	Matchings in Random Biregular Bipartite Graphs	2012	Guillem Perarnau Giorgis Petridis
+	The L^1-norm of exponential sums in Z^d	2011	Giorgis Petridis
+	Plünnecke's Inequality	2011	Giorgis Petridis
+	Upper Bounds on the Cardinality of Higher Sumsets	2011	Giorgis Petridis
+	New Proofs of Pl\"unnecke-type Estimates for Product Sets in Non-Abelian Groups	2011	Giorgis Petridis
+	New Proofs of Pl\"unnecke-type Estimates for Product Sets in Groups	2011	Giorgis Petridis
+	Pl\"unnecke's Inequality	2011	Giorgis Petridis
+	Plünnecke's Inequality	2011	Giorgis Petridis
+	Plünnecke's Inequality	2011	Giorgis Petridis
+	The L^1-norm of exponential sums in Z^d	2011	Giorgis Petridis
+	Upper Bounds on the Cardinality of Higher Sumsets	2011	Giorgis Petridis
+	New Proofs of Plünnecke-type Estimates for Product Sets in Groups	2011	Giorgis Petridis

Common Coauthors

Coauthor	Papers Together
Thomas Brendan Murphy	11
Misha Rudnev	5
Brendan Murphy	4
Igor E. Shparlinski	4
Brandon Hanson	4
Eyvindur A. Palsson	3
Guillem Perarnau	3
Oliver Roche‐Newton	3
Sophie Stevens	2
E. Bau	2
Adam Lott	2
Jonathan Pakianathan	2
I. MacKinnon	2
S. Nan	2
Daniel Fitzpatrick	2
B. Ayachi	2
Carlos Rojas Mena	2
Thang Pham	2
A. Sheikh	2
Audie Warren	2
Charlotte Aten	2
Ilya D. Shkredov	2
Jean-Christophe Weill	2
Shir Maimon	2
Alex Iosevich	2
H. Liu	2
Chia Fu Yu	2
Tim Tribone	2
Ben Lund	1
Simon Macourt	1
Ali Mohammadi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An Application of Graph Theory to Additive Number Theory	1985	Noga Alon P. Erdős	16
+ PDF Chat	On the Number of Incidences Between Points and Planes in Three Dimensions	2017	Misha Rudnev	11
+ PDF Chat	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz	10
+ PDF Chat	An improved point-line incidence bound over arbitrary fields	2017	Sophie Stevens Frank de Zeeuw	9
+ PDF Chat	Growth Estimates in Positive Characteristic via Collisions	2016	Esen Aksoy Yazici Thomas Brendan Murphy Misha Rudnev Ilya D. Shkredov	9
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	9
+	Cardinality questions about sumsets	2007	Imre Z. Ruzsa	9
+ PDF Chat	On the Use of the Klein Quadric for Geometric Incidence Problems in Two Dimensions	2016	Misha Rudnev J. M. Selig	8
+ PDF Chat	A slight improvement to Garaev's sum product estimate	2008	Nets Hawk Katz Chun‐Yen Shen	8
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson	7
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao	7
+ PDF Chat	An introduction to additive combinatorics	2007	Andrew Granville	6
+ PDF Chat	On the Minkowski distances and products of sum sets	2015	Oliver Roche‐Newton Misha Rudnev	6
+	On The Energy Variant of the Sum-Product Conjecture	2016	Misha Rudnev Ilya D. Shkredov Sophie Stevens	6
+	On Sets of Distances of <i>n</i> Points	1970	P. Erdős	6
+	Products of Differences in Prime Order Finite Fields	2016	Giorgis Petridis	6
+ PDF Chat	New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum	2000	D. R. Heath‐Brown	6
+ PDF Chat	Variations on the Sum-Product Problem II	2017	Thomas Brendan Murphy Oliver Roche‐Newton Ilya D. Shkredov	5
+ PDF Chat	NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS	2019	Thomas Brendan Murphy Giorgis Petridis Oliver Roche‐Newton Misha Rudnev Ilya D. Shkredov	5
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	5
+ PDF Chat	Growth and generation in SL<sub>2</sub>(ℤ∕pℤ)	2008	H. A. Helfgott	5
+	On a Theorem of Plünnecke Concerning the Sum of A Basis and A Set of Positive Density	1995	Janice L. Malouf	5
+ PDF Chat	Entropy and set cardinality inequalities for partition‐determined functions	2011	Mokshay Madiman Adam W. Marcus Prasad Tetali	5
+	A point-line incidence identity in finite fields, and applications	2016	Thomas Brendan Murphy Giorgis Petridis	5
+ PDF Chat	Growth in groups: ideas and perspectives	2015	H. A. Helfgott	5
+ PDF Chat	Group actions and geometric combinatorics in 𝔽qd$\mathbb{F}_{q}^{d}$	2016	Michael A. Bennett Derrick Hart Alex Iosevich Jonathan Pakianathan Misha Rudnev	5
+ PDF Chat	Projections, entropy and sumsets	2012	Paul Balister Béla Bollobás	5
+	Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources	2009	Jean Bourgain	4
+	On the restriction problem for discrete paraboloid in lower dimension	2018	Misha Rudnev Ilya D. Shkredov	4
+ PDF Chat	New proofs of Plünnecke-type estimates for product sets in groups	2012	Giorgis Petridis	4
+ PDF Chat	AN EXPLICIT INCIDENCE THEOREM IN	2010	H. A. Helfgott Misha Rudnev	4
+ PDF Chat	On sums and products of residues modulo p	2005	Andràs Sárközy	4
+ PDF Chat	Pinned distance sets, k-simplices, Wolff’s exponent in finite fields and sum-product estimates	2011	Jeremy Chapman M. Burak Erdoğan Derrick Hart Alex Iosevich Doowon Koh	4
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di	4
+ PDF Chat	Bisector Energy and Few Distinct Distances	2016	Ben Lund Adam Sheffer Frank de Zeeuw	4
+	On a variant of sum-product estimates and explicit exponential sum bounds in prime fields	2008	Jean Bourgain M. Z. Garaev	4
+	New sum-product type estimates over finite fields	2016	Oliver Roche‐Newton Misha Rudnev Ilya D. Shkredov	4
+ PDF Chat	Bisectors and Pinned Distances	2019	Ben Lund Giorgis Petridis	4
+	Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture	2010	Derrick Hart Alex Iosevich Doowon Koh Misha Rudnev	4
+	Pinned algebraic distances determined by Cartesian products in 𝔽_{𝕡}²	2017	Giorgis Petridis	4
+	On distinct perpendicular bisectors and pinned distances in finite fields	2015	Brandon Hanson Ben Lund Oliver Roche‐Newton	4
+	Polynomial Methods in Combinatorics	2016	Larry Guth	3
+ PDF Chat	Three-Variable Expanding Polynomials and Higher-Dimensional Distinct Distances	2018	Thang V. Pham Lê Anh Vinh Frank de Zeeuw	3
+ PDF Chat	An Explicit Sum-Product Estimate in Fp	2007	M. Z. Garaev	3
+	Few sums, many products	2003	György Elekes Gy. Imre Z. Ruzsa	3
+	Bounds on trilinear and quadrilinear exponential sums	2016	Giorgis Petridis Igor E. Shparlinski	3
+	A short proof of Rudnev's point-plane incidence bound	2016	Frank de Zeeuw	3
+	Erdös distance problem in vector spaces over finite fields	2007	Alex Iosevich M. Rudnev	3
+ PDF Chat	Product set estimates for non-commutative groups	2008	Terence Tao	3
+ PDF Chat	The distribution of integers with a divisor in a given interval	2008	Kevin Ford	3