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Iosevich, Alex

  1. On Falconer's distance set problem in the plane
    2018/08/28 by Larry Guth, Guth, Larry, Alex Iosevich +5 · 16 citations
    Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Mathematical Approximation and Integration
  2. Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
    2007/07/24 by Derrick Hart, Hart, Derrick, Alex Iosevich +5 · 5 citations
    Mathematics · #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Limits and Structures in Graph Theory
  3. Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates
    2009/03/25 by Chapman, Jeremy, Erdogan, M. Burak, Hart, Derrick +2 · 4 citations
    #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics
  4. An improved result for Falconer's distance set problem in even dimensions
    2020/06/11 by Du, Xiumin, Iosevich, Alex, Ou, Yumeng +2 · 4 citations
    #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  5. A Weyl type formula for Fourier spectra and frames
    2003/10/21 by Alex Iosevich, Mihail N. Kolountzakis, Iosevich, Alex +1 · 2 citations
    Mathematics · #42C15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42C15
  6. Finite field restriction estimates for the paraboloid in high even\n dimensions
    2017/12/15 by Alex Iosevich, Iosevich, Alex, Doowon Koh +3 · 3 citations
    Mathematics · #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  7. Fourier integral operators, fractal sets and the regular value theorem
    2010/11/26 by Eswarathasan, Suresh, Iosevich, Alex, Taylor, Krystal · 2 citations
    #42B 28A75 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Number Theory (math.NT)
  8. Periodicity of the spectrum in dimension one
    2011/08/29 by Iosevich, Alex, Kolountzakis, Mihail N. · 2 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
  9. Extension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields
    2008/04/28 by Alex Iosevich, Doowon Koh, Iosevich, Alex +1 · 2 citations
    Mathematics · #43A15 #43A32 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories
  10. Fuglede conjecture holds for convex planar domains
    2001/04/07 by Alex Iosevich, Nets Katz, Nets Hawk Katz +4 · 2 citations
    Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Holomorphic and Operator Theory #math.CA
  11. Simplex Averaging Operators: Quasi-Banach and Lp-Improving Bounds in Lower Dimensions
    2021/09/18 by Iosevich, Alex, Palsson, Eyvindur Ari, Sovine, Sean R. · 2 citations
    #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  12. Erdos distance problem in vector spaces over finite fields
    2005/09/01 by Alex Iosevich, Misha Rudnev, Iosevich, Alex +1 · 1 citation
    Computer Science · Mathematics · #Coding theory and cryptography #Limits and Structures in Graph Theory #advanced mathematical theories #math.CA #math.NT #msc:42B
  13. Covering the plane by rotations of a lattice arrangement of disks
    2006/11/26 by Iosevich, Alex, Kolountzakis, Mihail N., Matolcsi, Mate · 1 citation
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
  14. On directions determined by subsets of vector spaces over finite fields
    2010/10/05 by Iosevich, Alex, Morgan, Hannah, Pakianathan, Jonathan · 1 citation
    #42B05 #52C10 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  15. Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms
    2011/03/09 by Iosevich, Alex, Taylor, Krystal · 1 citation
    #42B20 11P21 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  16. Multi-linear forms, graphs, and Lp-improving measures in \Bbb Fqd
    2023/01/01 by Pablo Bhowmick, Alex Iosevich, Bhowmick, Pablo +5 · 2 citations
    Computer Science · Mathematics · #42B05 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
  17. On the Mattila-Sjolin theorem for distance sets
    2011/10/31 by Iosevich, Alex, Mourgoglou, Mihalis, Taylor, Krystal · 1 citation
    #28A75 #42B35 #52C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
  18. VC-Dimension of Hyperplanes over Finite Fields
    2023/07/19 by Ascoli, Ruben, Betti, Livia, Cheigh, Justin +8 · 3 citations
    #Combinatorics (math.CO) #FOS: Mathematics
  19. Elementary methods for incidence problems in finite fields
    2014/07/09 by Cilleruelo, Javier, Iosevich, Alex, Lund, Ben +2 · 1 citation
    #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  20. The quotient set of the quadratic distance set over finite fields
    2023/01/27 by Iosevich, Alex, Koh, Doowon, Rakhmonov, Firdavs · 2 citations
    #11T23 (Secondary) #52C10 (Primary) 05D99 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  21. Pinned simplices and connections to product of sets on paraboloids
    2022/08/21 by Iosevich, Alex, Pham, Quy, Pham, Thang +1 · 1 citation
    #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
  22. An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory
    2023/03/01 by Alex Iosevich, Thang V. Pham, Iosevich, Alex +5 · 1 citation
    Computer Science · Mathematics · #Coding theory and cryptography #Cryptography and Residue Arithmetic #Algebraic Geometry and Number Theory
  23. Nonempty interior of configuration sets via microlocal partition optimization
    2022/09/05 by Allan Greenleaf, Alex Iosevich, Greenleaf, Allan +3 · 1 citation
    Mathematics · Biochemistry, Genetics and Molecular Biology · #Analytic and geometric function theory #Mathematical Approximation and Integration #Bone Metabolism and Diseases
  24. Lp integrability of functions with Fourier support on a smooth space curve
    2023/11/20 by Shaoming Guo, Alex Iosevich, Guo, Shaoming +5 · 1 citation
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics
  25. Congruence Classes of Simplex Structures in Finite Field Vector Spaces
    2024/08/15 by Cheek, Timothy, Cooper, Joseph, Gilman, Pico +6 · 1 citation
    #52C10 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics
  26. Realizing trees of configurations in thin sets
    2024/01/21 by Greenleaf, Allan, Iosevich, Alex, Taylor, Krystal · 1 citation
    #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
  27. Fourier Uncertainty Principles on Riemannian Manifolds
    2024/11/13 by Alex Iosevich, Iosevich, Alex, Azita Mayeli +3 · 1 citation
    Computer Science · Engineering · Mathematics · #42B10 #Classical Analysis and ODEs (math.CA) #Elasticity and Wave Propagation #FOS: Mathematics #Spectral Theory (math.SP) #Statistical and numerical algorithms #Topological and Geometric Data Analysis
  28. Fourier minimization and imputation of time series
    2025/06/24 by W. Burstein, Burstein, Will, Alex Iosevich +4 · 2 citations
    Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Neural Networks and Applications #Statistical and numerical algorithms #Time Series Analysis and Forecasting
  29. Equilateral triangles in subsets of \Bbb Rd of large Hausdorff dimension
    2016/03/07 by Alex Iosevich, Bochen Liu, Iosevich, Alex +1 · 1 citation
    Mathematics · #11T23 #42B20 #49Q15 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
  30. Packing sets under finite groups via algebraic incidence structures
    2024/11/08 by Hegyvári, Norbert, Hung, Le Quang, Iosevich, Alex +1 · 1 citation
    #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)