Erdös distance problem in vector spaces over finite fields. Zbl 1145.11083
Iosevich, A.; Rudnev, M. |
|
2007
|
Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture. Zbl 1244.11013
Hart, Derrick; Iosevich, Alex; Koh, Doowon; Rudnev, Misha |
|
2011
|
On Falconer’s distance set problem in the plane. Zbl 1430.28001
Guth, Larry; Iosevich, Alex; Ou, Yumeng; Wang, Hong |
|
2020
|
Pinned distance sets, \(k\)-simplices, Wolff’s exponent in finite fields and sum-product estimates. Zbl 1269.11011
Chapman, Jeremy; Erdoğan, M. Burak; Hart, Derrick; Iosevich, Alex; Koh, Doowon |
|
2012
|
The Fuglede spectral conjecture holds for convex planar domains. Zbl 1087.42018
Iosevich, Alex; Katz, Nets; Tao, Terence |
|
2003
|
Sum-product estimates in finite fields via Kloosterman sums. Zbl 1146.11013
Hart, Derrick; Iosevich, Alex; Solymosi, Jozsef |
|
2007
|
The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan |
|
2017
|
Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\). Zbl 1429.52020
Bennett, Michael; Hart, Derrick; Iosevich, Alex; Pakianathan, Jonathan; Rudnev, Misha |
|
2017
|
Maximal averages over surfaces. Zbl 0921.42015
Iosevich, A.; Sawyer, E. |
|
1997
|
Convex bodies with a point of curvature do not have Fourier bases. Zbl 0998.42001
Iosevich, Alex; Katz, Nets Hawk; Tao, Terry |
|
2001
|
Spectral and tiling properties of the unit cube. Zbl 0926.52020
Iosevich, Alex; Pedersen, Steen |
|
1998
|
Decay of the Fourier transform. Analytic and geometric aspects. Zbl 1306.42002
Iosevich, Alex; Liflyand, Elijah |
|
2014
|
Sums and products in finite fields: an integral geometric viewpoint. Zbl 1256.11022
Hart, Derrick; Iosevich, Alex |
|
2008
|
Extension theorems for spheres in the finite field setting. Zbl 1193.42068
Iosevich, Alex; Koh, Doowon |
|
2010
|
Finite chains inside thin subsets of \(\mathbb{R}^d\). Zbl 1342.28006
Bennett, Michael; Iosevich, Alexander; Taylor, Krystal |
|
2016
|
A group-theoretic viewpoint on Erdös-Falconer problems and the Mattila integral. Zbl 1329.52015
Greenleaf, Allan; Iosevich, Alex; Liu, Bochen; Palsson, Eyvindur |
|
2015
|
Fourier bases and a distance problem of Erdős. Zbl 1007.42006
Iosevich, Alex; Katz, Nets; Pedersen, Steen |
|
1999
|
Oscillatory integrals and maximal averages over homogeneous surfaces. Zbl 0898.42004
Iosevich, Alex; Sawyer, Eric |
|
1996
|
Sharp rate of average decay of the Fourier transform of a bounded set. Zbl 1032.42017
Brandolini, L.; Hofmann, S.; Iosevich, A. |
|
2003
|
Maximal operators associated to families of flat curves in the plane. Zbl 0827.42010
Iosevich, Alex |
|
1994
|
Ubiquity of simplices in subsets of vector spaces over finite fields. Zbl 1164.05064
Hart, Derrick; Iosevich, Alex |
|
2008
|
On averaging operators associated with convex hypersurfaces of finite type. Zbl 0997.42009
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas |
|
1999
|
The Erdős distance problem. Zbl 1234.00002
Garibaldi, Julia; Iosevich, Alex; Senger, Steven |
|
2011
|
An improved result for Falconer’s distance set problem in even dimensions. Zbl 1476.28006
Du, Xiumin; Iosevich, Alex; Ou, Yumeng; Wang, Hong; Zhang, Ruixiang |
|
2021
|
On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry. Zbl 1275.28003
Greenleaf, Allan; Iosevich, Alex |
|
2012
|
Multilinear generalized Radon transforms and point configurations. Zbl 1317.44002
Grafakos, Loukas; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur |
|
2015
|
Three-point configurations determined by subsets of \({\mathbb{F}_q}^2\) via the Elekes-Sharir paradigm. Zbl 1340.52024
Bennett, Mike; Iosevich, Alex; Pakianathan, Jonathan |
|
2014
|
Combinatorial complexity of convex sequences. Zbl 1116.11011
Iosevich, Alex; Konyagin, S.; Rudnev, M.; Ten, V. |
|
2006
|
Circular averages and Falconer/Erdős distance conjecture in the plane for random metrics. Zbl 1096.28004
Hofmann, S.; Iosevich, A. |
|
2005
|
Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension. Zbl 1417.52023
Iosevich, Alex; Liu, Bochen |
|
2019
|
Generalized incidence theorems, homogeneous forms and sum-product estimates in finite fields. Zbl 1243.11009
Covert, David; Hart, Derrick; Iosevich, Alex; Koh, Doowon; Rudnev, Misha |
|
2010
|
Periodicity of the spectrum in dimension one. Zbl 1275.42009
Iosevich, Alex; Kolountzakis, Mihail N. |
|
2013
|
\(K\)-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002
Iosevich, A.; Łaba, I. |
|
2005
|
Tiling sets and spectral sets over finite fields. Zbl 1376.52038
Aten, C.; Ayachi, B.; Bau, E.; FitzPatrick, D.; Iosevich, A.; Liu, H.; Lott, A.; MacKinnon, I.; Maimon, S.; Nan, S.; Pakianathan, J.; Petridis, G.; Rojas Mena, C.; Sheikh, A.; Tribone, T.; Weill, J.; Yu, C. |
|
2017
|
Pinned distance problem, slicing measures, and local smoothing estimates. Zbl 1412.28004
Iosevich, Alex; Liu, Bochen |
|
2019
|
Long paths in the distance graph over large subsets of vector spaces over finite fields. Zbl 1338.52018
Bennett, Michael; Chapman, Jeremy; Covert, David; Hart, Derrick; Iosevich, Alex; Pakianathan, Jonathan |
|
2016
|
Configuration sets with nonempty interior. Zbl 1472.35470
Greenleaf, Allan; Iosevich, Alex; Taylor, Krystal |
|
2021
|
The Erdős-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields. Zbl 1190.52014
Iosevich, Alex; Koh, Doowon |
|
2008
|
Restricted convolution inequalities, multilinear operators and applications. Zbl 1287.42008
Geba, Dan-Andrei; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur; Sawyer, Eric |
|
2013
|
Extension theorems for paraboloids in the finite field setting. Zbl 1203.42013
Iosevich, Alex; Koh, Doowon |
|
2010
|
How large are the spectral gaps? Zbl 1006.42027
Iosevich, Alex; Pedersen, Steen |
|
2000
|
Geometric configurations in the ring of integers modulo \(p^{\ell}\). Zbl 1354.11011
Covert, David; Iosevich, Alex; Pakianathan, Jonathan |
|
2012
|
Extension theorems for the Fourier transform associated with nondegenerate quadratic surfaces in vector spaces over finite fields. Zbl 1179.42007
Iosevich, Alex; Koh, Doowon |
|
2008
|
On necklaces inside thin subsets of \(\mathbb{R}^d\). Zbl 1390.28020
Greenleaf, Allan; Iosevich, Alex; Pramanik, Malabika |
|
2017
|
A combinatorial approach to orthogonal exponentials. Zbl 1060.42018
Iosevich, Alex; Rudnev, Mischa |
|
2003
|
Embedding distance graphs in finite field vector spaces. Zbl 1442.52013
Iosevich, Alex; Parshall, Hans |
|
2019
|
Fourier integral operators, fractal sets, and the regular value theorem. Zbl 1239.28004
Eswarathasan, Suresh; Iosevich, Alex; Taylor, Krystal |
|
2011
|
Distance measures for well-distributed sets. Zbl 1128.28003
Iosevich, Alex; Rudnev, Michael |
|
2007
|
Mean square discrepancy bounds for the number of lattice points in large convex bodies. Zbl 1027.11074
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas |
|
2002
|
A Furstenberg-Katznelson-Weiss type theorem on \((d+1)\)-point configurations in sets of positive density in finite field geometries. Zbl 1268.11037
Covert, David; Hart, Derrick; Iosevich, Alex; Senger, Steven; Uriarte-Tuero, Ignacio |
|
2011
|
Sharp \(L^p-L^q\) estimates for a class of averaging operators. Zbl 0898.42003
Iosevich, Alex; Sawyer, Eric |
|
1996
|
On an application of Guth-Katz theorem. Zbl 1271.52016
Iosevich, Alex; Roche-Newton, Oliver; Rudnev, Misha |
|
2011
|
On discrete values of bilinear forms. Zbl 1406.52034
Iosevich, A.; Roche-Newton, O.; Rudnev, M. |
|
2018
|
Average decay estimates for Fourier transforms of measures supported on curves. Zbl 1138.42006
Brandolini, L.; Gigante, G.; Greenleaf, A.; Iosevich, A.; Seeger, A.; Travaglini, G. |
|
2007
|
Distance sets that are a shift of the integers and Fourier basis for planar convex sets. Zbl 1265.42021
Iosevich, A.; Jaming, P. |
|
2008
|
Areas of triangles and Beck’s theorem in planes over finite fields. Zbl 1363.52015
Iosevich, Alex; Rudnev, Misha; Zhai, Yujia |
|
2015
|
On restriction estimates for the zero radius sphere over finite fields. Zbl 1467.42012
Iosevich, Alex; Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen |
|
2021
|
Two problems associated with convex finite type domains. Zbl 1012.42006
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas |
|
2002
|
Geometric incidence theorems via Fourier analysis. Zbl 1180.42014
Iosevich, Alex; Jorati, Hadi; Łaba, Izabella |
|
2009
|
Theory of dimension for large discrete sets and applications. Zbl 1310.52020
Iosevich, A.; Rudnev, M.; Uriarte-Tuero, I. |
|
2014
|
Finite field restriction estimates for the paraboloid in high even dimensions. Zbl 1434.42008
Iosevich, Alex; Koh, Doowon; Lewko, Mark |
|
2020
|
On the Mattila-Sjölin theorem for distance sets. Zbl 1279.28006
Iosevich, Alex; Mourgoglou, Mihalis; Taylor, Krystal |
|
2012
|
Sets with integral distances in finite fields. Zbl 1192.05020
Iosevich, Alex; Shparlinski, Igor E.; Xiong, Maosheng |
|
2010
|
Falconer distance problem, additive energy and Cartesian products. Zbl 1345.28005
Iosevich, Alex; Liu, Bochen |
|
2016
|
Orthogonal systems in vector spaces over finite fields. Zbl 1206.05028
Iosevich, Alex; Senger, Steven |
|
2008
|
On the quotient set of the distance set. Zbl 1454.11222
Iosevich, Alex; Koh, Doowon; Parshall, Hans |
|
2019
|
What is …Falconer’s conjecture? Zbl 1414.42001
Iosevich, Alex |
|
2019
|
Elementary methods for incidence problems in finite fields. Zbl 1366.52018
Cilleruelo, Javier; Iosevich, Alex; Lund, Ben; Roche-Newton, Oliver; Rudnev, Misha |
|
2017
|
On volumes determined by subsets of Euclidean space. Zbl 1305.28007
Greenleaf, Allan; Iosevich, Alex; Mourgoglou, Mihalis |
|
2015
|
Planar convex bodies, Fourier transform, lattice points, and irregularities of distribution. Zbl 1032.42018
Brandolini, L.; Iosevich, A.; Travaglini, G. |
|
2003
|
Fourier transform, \(L^2\) restriction theorem, and scaling. Zbl 0932.42013
Iosevich, Alex |
|
1999
|
Curvature, combinatorics, and the Fourier transform. Zbl 0993.42002
Iosevich, Alex |
|
2001
|
Lattice points and generalized Diophantine conditions. Zbl 0989.11048
Iosevich, Alex |
|
2001
|
Cycles of arbitrary length in distance graphs on \(\mathbb{F}_q^d\). Zbl 1511.05114
Iosevich, A.; Jardine, G.; McDonald, B. |
|
2021
|
Existence of similar point configurations in thin subsets of \(\mathbb{R}^d\). Zbl 1456.52020
Greenleaf, Allan; Iosevich, Alex; Mkrtchyan, Sevak |
|
2021
|
Weyl law improvement for products of spheres. Zbl 1488.11155
Iosevich, A.; Wyman, E. |
|
2021
|
Sharpness results and Knapp’s homogeneity argument. Zbl 0961.42011
Iosevich, Alex; Lu, Guozhen |
|
2000
|
Distance sets of well-distributed planar point sets. Zbl 1060.52008
Iosevich, A.; Laba, I. |
|
2004
|
On Gabor orthonormal bases over finite prime fields. Zbl 1471.42066
Iosevich, Alex; Kolountzakis, Mihalis; Lyubarskii, Yurii; Mayeli, Azita; Pakianathan, Jonathan |
|
2021
|
Mean lattice point discrepancy bounds. II: Convex domains in the plane. Zbl 1171.11052
Iosevich, Alexander; Sawyer, Eric T.; Seeger, Andreas |
|
2007
|
Three problems motivated by the average decay of the Fourier transform. Zbl 1038.42020
Iosevich, Alexander; Sawyer, Eric |
|
2003
|
Dispersive effects in a modified Kuramoto-Sivashinsky equation. Zbl 1018.35067
Iosevich, Alex; Miller, Judith R. |
|
2002
|
Spherical means and the restriction phenomenon. Zbl 0989.42002
Brandolini, Luca; Iosevich, Alex; Travaglini, Giancarlo |
|
2001
|
Maximal operators: scales, curvature and the fractal dimension. Zbl 1438.11108
Iosevich, A.; Krause, B.; Sawyer, E.; Taylor, K.; Uriarte-Tuero, I. |
|
2019
|
On angles determined by fractal subsets of the Euclidean space. Zbl 1365.28007
Iosevich, Alex; Mourgoglou, Mihalis; Palsson, Eyvindur Ari |
|
2016
|
Exponential bases, Paley-Wiener spaces and applications. Zbl 1306.42048
Iosevich, Alex; Mayeli, Azita |
|
2015
|
New bounds for distance-type problems over prime fields. Zbl 1478.11031
Iosevich, Alex; Koh, Doowon; Pham, Thang |
|
2020
|
On directions determined by subsets of vector spaces over finite fields. Zbl 1235.52027
Iosevich, Alex; Morgan, Hannah; Pakianathan, Jonathan |
|
2011
|
On \(k\)-point configuration sets with nonempty Interior. Zbl 07738314
Greenleaf, Allan; Iosevich, Alex; Taylor, Krystal |
|
2022
|
Sharpness of Falconer’s \({\frac{d+1}2}\) estimate. Zbl 1345.28006
Iosevich, Alex; Senger, Steven |
|
2016
|
Tight wavelet frame sets in finite vector spaces. Zbl 1407.42033
Iosevich, Alex; Lai, Chun-Kit; Mayeli, Azita |
|
2019
|
Freiman theorem, Fourier transform and additive structure of measures. Zbl 1166.42007
Iosevich, A.; Rudnev, M. |
|
2009
|
A Weyl type formula for Fourier spectra and frames. Zbl 1136.42008
Iosevich, Alex; Kolountzakis, Mihail N. |
|
2006
|
Some sharp restriction theorems for homogeneous manifolds. Zbl 1055.42501
De Carli, Laura; Iosevich, Alex |
|
1998
|
Non-isotropic distance measures for lattice-generated sets. Zbl 1129.42347
Iosevich, Alexander; Rudnev, Misha |
|
2005
|
Fourier frames for surface-carried measures. Zbl 1494.42034
Iosevich, Alex; Lai, Chun-Kit; Liu, Bochen; Wyman, Emmett |
|
2022
|
A new bound for the Erdős distinct distances problem in the plane over prime fields. Zbl 1447.52020
Iosevich, Alex; Koh, Doowon; Pham, Thang; Shen, Chun-Yen; Vinh, Le Anh |
|
2020
|
Multiparameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting. Zbl 1272.28005
Erdoğan, Burk; Hart, Derrick; Iosevich, Alex |
|
2013
|
Distance graphs in vector spaces over finite fields. Zbl 1278.11012
Hart, Derrick; Iosevich, Alex; Koh, Doowon; Senger, Steven; Uriarte-Tuero, Ignacio |
|
2013
|
Tiling, circle packing and exponential sums over finite fields. Zbl 1438.43005
Haessig, C. D.; Iosevich, A.; Pakianathan, J.; Robins, S.; Vaicunas, L. |
|
2018
|
Dot products in \(\mathbb{F}_q^3\) and the Vapnik-Chervonenkis dimension. Zbl 1520.52009
Iosevich, A.; McDonald, B.; Sun, M. |
|
2023
|
Simplices in thin subsets of Euclidean spaces. Zbl 07785241
Iosevich, Alex; Magyar, Ákos |
|
2023
|
On \(k\)-point configuration sets with nonempty Interior. Zbl 07738314
Greenleaf, Allan; Iosevich, Alex; Taylor, Krystal |
|
2022
|
Fourier frames for surface-carried measures. Zbl 1494.42034
Iosevich, Alex; Lai, Chun-Kit; Liu, Bochen; Wyman, Emmett |
|
2022
|
Microlocal decoupling inequalities and the distance problem on Riemannian manifolds. Zbl 1511.53045
Iosevich, Alex; Liu, Bochen; Xi, Yakun |
|
2022
|
Simplex averaging operators: quasi-Banach and \(L^p\)-improving bounds in lower dimensions. Zbl 1482.42029
Iosevich, Alex; Palsson, Eyvindur Ari; Sovine, Sean R. |
|
2022
|
An improved result for Falconer’s distance set problem in even dimensions. Zbl 1476.28006
Du, Xiumin; Iosevich, Alex; Ou, Yumeng; Wang, Hong; Zhang, Ruixiang |
|
2021
|
Configuration sets with nonempty interior. Zbl 1472.35470
Greenleaf, Allan; Iosevich, Alex; Taylor, Krystal |
|
2021
|
On restriction estimates for the zero radius sphere over finite fields. Zbl 1467.42012
Iosevich, Alex; Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen |
|
2021
|
Cycles of arbitrary length in distance graphs on \(\mathbb{F}_q^d\). Zbl 1511.05114
Iosevich, A.; Jardine, G.; McDonald, B. |
|
2021
|
Existence of similar point configurations in thin subsets of \(\mathbb{R}^d\). Zbl 1456.52020
Greenleaf, Allan; Iosevich, Alex; Mkrtchyan, Sevak |
|
2021
|
Weyl law improvement for products of spheres. Zbl 1488.11155
Iosevich, A.; Wyman, E. |
|
2021
|
On Gabor orthonormal bases over finite prime fields. Zbl 1471.42066
Iosevich, Alex; Kolountzakis, Mihalis; Lyubarskii, Yurii; Mayeli, Azita; Pakianathan, Jonathan |
|
2021
|
Rigidity, graphs and Hausdorff dimension. Zbl 1532.52014
Chatzikonstantinou, Nikolaos; Iosevich, Alex; Mkrtchyan, Sevak; Pakianathan, Jonathan |
|
2021
|
Sums of powers in large finite fields: a mix of methods. Zbl 1470.11314
Bergelson, Vitaly; Best, Andrew; Iosevich, Alex |
|
2021
|
On Falconer’s distance set problem in the plane. Zbl 1430.28001
Guth, Larry; Iosevich, Alex; Ou, Yumeng; Wang, Hong |
|
2020
|
Finite field restriction estimates for the paraboloid in high even dimensions. Zbl 1434.42008
Iosevich, Alex; Koh, Doowon; Lewko, Mark |
|
2020
|
New bounds for distance-type problems over prime fields. Zbl 1478.11031
Iosevich, Alex; Koh, Doowon; Pham, Thang |
|
2020
|
A new bound for the Erdős distinct distances problem in the plane over prime fields. Zbl 1447.52020
Iosevich, Alex; Koh, Doowon; Pham, Thang; Shen, Chun-Yen; Vinh, Le Anh |
|
2020
|
Falconer-type estimates for dot products. Zbl 1476.28003
Iosevich, Alex; Senger, Steven |
|
2020
|
Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension. Zbl 1417.52023
Iosevich, Alex; Liu, Bochen |
|
2019
|
Pinned distance problem, slicing measures, and local smoothing estimates. Zbl 1412.28004
Iosevich, Alex; Liu, Bochen |
|
2019
|
Embedding distance graphs in finite field vector spaces. Zbl 1442.52013
Iosevich, Alex; Parshall, Hans |
|
2019
|
On the quotient set of the distance set. Zbl 1454.11222
Iosevich, Alex; Koh, Doowon; Parshall, Hans |
|
2019
|
What is …Falconer’s conjecture? Zbl 1414.42001
Iosevich, Alex |
|
2019
|
Maximal operators: scales, curvature and the fractal dimension. Zbl 1438.11108
Iosevich, A.; Krause, B.; Sawyer, E.; Taylor, K.; Uriarte-Tuero, I. |
|
2019
|
Tight wavelet frame sets in finite vector spaces. Zbl 1407.42033
Iosevich, Alex; Lai, Chun-Kit; Mayeli, Azita |
|
2019
|
The mean square discrepancy in the circle problem. Zbl 1456.11189
Gonek, Steven M.; Iosevich, Alex |
|
2019
|
On the approximate unit distance problem. Zbl 1443.52013
Iosevich, Alex |
|
2019
|
On discrete values of bilinear forms. Zbl 1406.52034
Iosevich, A.; Roche-Newton, O.; Rudnev, M. |
|
2018
|
Tiling, circle packing and exponential sums over finite fields. Zbl 1438.43005
Haessig, C. D.; Iosevich, A.; Pakianathan, J.; Robins, S.; Vaicunas, L. |
|
2018
|
Gabor orthogonal bases and convexity. Zbl 1404.42020
Iosevich, Alex; Mayeli, Azita |
|
2018
|
Finite point configurations in the plane, rigidity and Erdős problems. Zbl 1414.05101
Iosevich, A.; Passant, J. |
|
2018
|
Distances from points to planes. Zbl 1410.52011
Birklbauer, P.; Iosevich, A.; Pham, T. |
|
2018
|
Wavelet decomposition and bandwidth of functions defined on vector spaces over finite fields. Zbl 1425.42038
Iosevich, Alex; Liu, Allen; Mayeli, Azita; Pakianathan, Jonathan |
|
2018
|
The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\). Zbl 1361.05014
Iosevich, Alexander; Mayeli, Azita; Pakianathan, Jonathan |
|
2017
|
Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\). Zbl 1429.52020
Bennett, Michael; Hart, Derrick; Iosevich, Alex; Pakianathan, Jonathan; Rudnev, Misha |
|
2017
|
Tiling sets and spectral sets over finite fields. Zbl 1376.52038
Aten, C.; Ayachi, B.; Bau, E.; FitzPatrick, D.; Iosevich, A.; Liu, H.; Lott, A.; MacKinnon, I.; Maimon, S.; Nan, S.; Pakianathan, J.; Petridis, G.; Rojas Mena, C.; Sheikh, A.; Tribone, T.; Weill, J.; Yu, C. |
|
2017
|
On necklaces inside thin subsets of \(\mathbb{R}^d\). Zbl 1390.28020
Greenleaf, Allan; Iosevich, Alex; Pramanik, Malabika |
|
2017
|
Elementary methods for incidence problems in finite fields. Zbl 1366.52018
Cilleruelo, Javier; Iosevich, Alex; Lund, Ben; Roche-Newton, Oliver; Rudnev, Misha |
|
2017
|
The square root law and structure of finite rings. Zbl 1429.11214
Iosevich, Alex; Murphy, Brendan; Pakianathan, Jon |
|
2017
|
A two-parameter finite field Erdős-Falconer distance problem. Zbl 1425.42010
Birklbauer, Philipp; Iosevich, Alex |
|
2017
|
Finite chains inside thin subsets of \(\mathbb{R}^d\). Zbl 1342.28006
Bennett, Michael; Iosevich, Alexander; Taylor, Krystal |
|
2016
|
Long paths in the distance graph over large subsets of vector spaces over finite fields. Zbl 1338.52018
Bennett, Michael; Chapman, Jeremy; Covert, David; Hart, Derrick; Iosevich, Alex; Pakianathan, Jonathan |
|
2016
|
Falconer distance problem, additive energy and Cartesian products. Zbl 1345.28005
Iosevich, Alex; Liu, Bochen |
|
2016
|
On angles determined by fractal subsets of the Euclidean space. Zbl 1365.28007
Iosevich, Alex; Mourgoglou, Mihalis; Palsson, Eyvindur Ari |
|
2016
|
Sharpness of Falconer’s \({\frac{d+1}2}\) estimate. Zbl 1345.28006
Iosevich, Alex; Senger, Steven |
|
2016
|
Intersections of sets and Fourier analysis. Zbl 1443.28003
Eswarathasan, Suresh; Iosevich, Alex; Taylor, Krystal |
|
2016
|
A group-theoretic viewpoint on Erdös-Falconer problems and the Mattila integral. Zbl 1329.52015
Greenleaf, Allan; Iosevich, Alex; Liu, Bochen; Palsson, Eyvindur |
|
2015
|
Multilinear generalized Radon transforms and point configurations. Zbl 1317.44002
Grafakos, Loukas; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur |
|
2015
|
Areas of triangles and Beck’s theorem in planes over finite fields. Zbl 1363.52015
Iosevich, Alex; Rudnev, Misha; Zhai, Yujia |
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2015
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On volumes determined by subsets of Euclidean space. Zbl 1305.28007
Greenleaf, Allan; Iosevich, Alex; Mourgoglou, Mihalis |
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2015
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Exponential bases, Paley-Wiener spaces and applications. Zbl 1306.42048
Iosevich, Alex; Mayeli, Azita |
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2015
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Decay of the Fourier transform. Analytic and geometric aspects. Zbl 1306.42002
Iosevich, Alex; Liflyand, Elijah |
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2014
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Three-point configurations determined by subsets of \({\mathbb{F}_q}^2\) via the Elekes-Sharir paradigm. Zbl 1340.52024
Bennett, Mike; Iosevich, Alex; Pakianathan, Jonathan |
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2014
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Theory of dimension for large discrete sets and applications. Zbl 1310.52020
Iosevich, A.; Rudnev, M.; Uriarte-Tuero, I. |
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2014
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Sharpness of Falconer’s estimate and the single distance problem in \(\mathbb{Z}\_{q}^{d}\). Zbl 1318.28011
Iosevich, Alex; Senger, Steven |
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2014
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Periodicity of the spectrum in dimension one. Zbl 1275.42009
Iosevich, Alex; Kolountzakis, Mihail N. |
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2013
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Restricted convolution inequalities, multilinear operators and applications. Zbl 1287.42008
Geba, Dan-Andrei; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur; Sawyer, Eric |
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2013
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Multiparameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting. Zbl 1272.28005
Erdoğan, Burk; Hart, Derrick; Iosevich, Alex |
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2013
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Distance graphs in vector spaces over finite fields. Zbl 1278.11012
Hart, Derrick; Iosevich, Alex; Koh, Doowon; Senger, Steven; Uriarte-Tuero, Ignacio |
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2013
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Size of orthogonal sets of exponentials for the disk. Zbl 1272.42006
Iosevich, Alex; Kolountzakis, Mihail N. |
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2013
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Pinned distance sets, \(k\)-simplices, Wolff’s exponent in finite fields and sum-product estimates. Zbl 1269.11011
Chapman, Jeremy; Erdoğan, M. Burak; Hart, Derrick; Iosevich, Alex; Koh, Doowon |
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2012
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On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry. Zbl 1275.28003
Greenleaf, Allan; Iosevich, Alex |
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2012
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Geometric configurations in the ring of integers modulo \(p^{\ell}\). Zbl 1354.11011
Covert, David; Iosevich, Alex; Pakianathan, Jonathan |
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2012
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On the Mattila-Sjölin theorem for distance sets. Zbl 1279.28006
Iosevich, Alex; Mourgoglou, Mihalis; Taylor, Krystal |
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2012
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On sets of directions determined by subsets of \(\mathbb R^d\). Zbl 1279.28010
Iosevich, Alex; Mourgoglou, Mihalis; Senger, Steven |
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2012
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Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture. Zbl 1244.11013
Hart, Derrick; Iosevich, Alex; Koh, Doowon; Rudnev, Misha |
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2011
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The Erdős distance problem. Zbl 1234.00002
Garibaldi, Julia; Iosevich, Alex; Senger, Steven |
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2011
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Fourier integral operators, fractal sets, and the regular value theorem. Zbl 1239.28004
Eswarathasan, Suresh; Iosevich, Alex; Taylor, Krystal |
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2011
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A Furstenberg-Katznelson-Weiss type theorem on \((d+1)\)-point configurations in sets of positive density in finite field geometries. Zbl 1268.11037
Covert, David; Hart, Derrick; Iosevich, Alex; Senger, Steven; Uriarte-Tuero, Ignacio |
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2011
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On an application of Guth-Katz theorem. Zbl 1271.52016
Iosevich, Alex; Roche-Newton, Oliver; Rudnev, Misha |
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2011
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On directions determined by subsets of vector spaces over finite fields. Zbl 1235.52027
Iosevich, Alex; Morgan, Hannah; Pakianathan, Jonathan |
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2011
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Lattice points close to families of surfaces, nonisotropic dilations and regularity of generalized Radon transforms. Zbl 1269.42015
Iosevich, Alex; Taylor, Krystal |
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2011
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Extension theorems for spheres in the finite field setting. Zbl 1193.42068
Iosevich, Alex; Koh, Doowon |
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2010
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Generalized incidence theorems, homogeneous forms and sum-product estimates in finite fields. Zbl 1243.11009
Covert, David; Hart, Derrick; Iosevich, Alex; Koh, Doowon; Rudnev, Misha |
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2010
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Extension theorems for paraboloids in the finite field setting. Zbl 1203.42013
Iosevich, Alex; Koh, Doowon |
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2010
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Sets with integral distances in finite fields. Zbl 1192.05020
Iosevich, Alex; Shparlinski, Igor E.; Xiong, Maosheng |
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2010
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A universal Stein-Tomas restriction estimate for measures in three dimensions. Zbl 1221.42019
Iosevich, Alex; Roudenko, Svetlana |
|
2010
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The discrepancy of a needle on a checkerboard. II. Zbl 1249.11073
Iosevich, Alex; Kolountzakis, Mihail N. |
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2010
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Geometric incidence theorems via Fourier analysis. Zbl 1180.42014
Iosevich, Alex; Jorati, Hadi; Łaba, Izabella |
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2009
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Freiman theorem, Fourier transform and additive structure of measures. Zbl 1166.42007
Iosevich, A.; Rudnev, M. |
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2009
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On rapid generation of \(\text{SL}_2(\mathbb F_q)\). Zbl 1203.20043
Chapman, Jeremy; Iosevich, Alex |
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2009
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Sums and products in finite fields: an integral geometric viewpoint. Zbl 1256.11022
Hart, Derrick; Iosevich, Alex |
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2008
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Ubiquity of simplices in subsets of vector spaces over finite fields. Zbl 1164.05064
Hart, Derrick; Iosevich, Alex |
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2008
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The Erdős-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields. Zbl 1190.52014
Iosevich, Alex; Koh, Doowon |
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2008
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Extension theorems for the Fourier transform associated with nondegenerate quadratic surfaces in vector spaces over finite fields. Zbl 1179.42007
Iosevich, Alex; Koh, Doowon |
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2008
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Distance sets that are a shift of the integers and Fourier basis for planar convex sets. Zbl 1265.42021
Iosevich, A.; Jaming, P. |
|
2008
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Orthogonal systems in vector spaces over finite fields. Zbl 1206.05028
Iosevich, Alex; Senger, Steven |
|
2008
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Fourier analysis and geometric combinatorics. Zbl 1153.52302
Iosevich, Alex |
|
2008
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Erdös distance problem in vector spaces over finite fields. Zbl 1145.11083
Iosevich, A.; Rudnev, M. |
|
2007
|
Sum-product estimates in finite fields via Kloosterman sums. Zbl 1146.11013
Hart, Derrick; Iosevich, Alex; Solymosi, Jozsef |
|
2007
|
Distance measures for well-distributed sets. Zbl 1128.28003
Iosevich, Alex; Rudnev, Michael |
|
2007
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Average decay estimates for Fourier transforms of measures supported on curves. Zbl 1138.42006
Brandolini, L.; Gigante, G.; Greenleaf, A.; Iosevich, A.; Seeger, A.; Travaglini, G. |
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2007
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Mean lattice point discrepancy bounds. II: Convex domains in the plane. Zbl 1171.11052
Iosevich, Alexander; Sawyer, Eric T.; Seeger, Andreas |
|
2007
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On the Mattila integral associated with sign indefinite measures. Zbl 1116.42003
Iosevich, Alex; Rudnev, Misha |
|
2007
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Covering the plane by rotations of a lattice arrangement of disks. Zbl 1181.52028
Iosevich, Alex; Kolountzakis, Mihail N.; Matolcsi, Máté |
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2007
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Combinatorial complexity of convex sequences. Zbl 1116.11011
Iosevich, Alex; Konyagin, S.; Rudnev, M.; Ten, V. |
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2006
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A Weyl type formula for Fourier spectra and frames. Zbl 1136.42008
Iosevich, Alex; Kolountzakis, Mihail N. |
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2006
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Circular averages and Falconer/Erdős distance conjecture in the plane for random metrics. Zbl 1096.28004
Hofmann, S.; Iosevich, A. |
|
2005
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| ...and 33 more Documents |
