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Alex Iosevich

  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, Alex Iosevich, Hart, Derrick +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. 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
  4. Finite field restriction estimates for the paraboloid in high even\n dimensions
    2017/12/15 by Alex Iosevich, Doowon Koh, Iosevich, Alex +3 · 3 citations
    Mathematics · #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  5. 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 · 3 citations
    Mathematics · #43A15 #43A32 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories
  6. 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
  7. 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
  8. Sum-product estimates in finite fields
    2006/09/14 by Derrick Hart, Hart, D., Alex Iosevich +3 · 1 citation
    Computer Science · Mathematics · #11C #11L #52C #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory
  9. Covering the plane by rotations of a lattice arrangement of disks
    2006/11/26 by Alex Iosevich, Iosevich, Alex, Mihail N. Kolountzakis +3 · 1 citation
    Mathematics · #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric and Algebraic Topology #Metric Geometry (math.MG) #Point processes and geometric inequalities
  10. 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
  11. The square root law and structure of finite rings
    2014/05/29 by Alex Iosevich, Iosevich, A., Thomas Brendan Murphy +3 · 1 citation
    Mathematics · #11L07 #52C10 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)
  12. Lattice Points and Generalized Diophantine Conditions
    2001/09/01 by Alex Iosevich · 2 citations
    Mathematics · #Mathematical Dynamics and Fractals #Algebraic Geometry and Number Theory #Analytic Number Theory Research
  13. 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
  14. Group actions and geometric combinatorics in \mathbb Fqd
    2013/11/19 by Michael A. Bennett, Derrick Hart, Bennett, M. +7 · 1 citation
    Mathematics · Computer Science · #Geometric and Algebraic Topology #Digital Image Processing Techniques #Mathematical Analysis and Transform Methods
  15. Nonempty interior of configuration sets via microlocal partition optimization
    2022/09/05 by Allan Greenleaf, Greenleaf, Allan, Alex Iosevich +3 · 1 citation
    Mathematics · Biochemistry, Genetics and Molecular Biology · #Analytic and geometric function theory #Mathematical Approximation and Integration #Bone Metabolism and Diseases
  16. Lp integrability of functions with Fourier support on a smooth space curve
    2023/11/20 by Shaoming Guo, Guo, Shaoming, Alex Iosevich +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
  17. Congruence Classes of Simplex Structures in Finite Field Vector Spaces
    2024/08/15 by Timothy Cheek, Joseph Cooper, Cheek, Timothy +15 · 1 citation
    Computer Science · #52C10 #Cellular Automata and Applications #Classical Analysis and ODEs (math.CA) #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Control Systems and Analysis
  18. Fourier Uncertainty Principles on Riemannian Manifolds
    2024/11/13 by Alex Iosevich, Azita Mayeli, Iosevich, Alex +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
  19. 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
  20. Equilateral triangles in subsets of \Bbb Rd of large Hausdorff dimension
    2016/03/07 by Alex Iosevich, Iosevich, Alex, Bochen Liu +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)
  21. Edge complexity of graphs
    2026/07/17 by Vishal Gupta, Alex Iosevich, Joshua Iosevich +2
    #math.CO
  22. Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets
    2026/07/17 by Félix Brokering Pinilla, Alex Iosevich, Ben Krause
    #math.DS #math.CA #math.PR