2020

• Kernel and wavelet density estimators on manifolds and more general metric spaces

  Bernoulli, vol. 26, iss. 3, pp. 1832-1862, 2020.
  By G. Cleanthous, A. G. Georgiadis, G. Kerkyacharian, P. Petrushev, and D. Picard

  [Bibtex]

  @article{Cleanthous20201832,
  author={Cleanthous, G. and Georgiadis, A.G. and Kerkyacharian, G. and Petrushev, P. and Picard, D.},
  title={Kernel and wavelet density estimators on manifolds and more general metric spaces},
  journal={Bernoulli},
  year={2020},
  volume={26},
  number={3},
  pages={1832-1862},
  doi={10.3150/19-BEJ1171},
  url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091173450&doi=10.3150%2f19-BEJ1171&partnerID=40&md5=55aa1119db6925c6baa6e8c5eacf011c},
  publisher={International Statistical Institute},
  }

• Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex

  Constructive approximation, vol. 51, iss. 1, pp. 73-122, 2020.
  By G. Kerkyacharian, P. Petrushev, and Y. Xu

  [Bibtex]

  @article{Kerkyacharian202073,
  author={Kerkyacharian, G. and Petrushev, P. and Xu, Y.},
  title={Gaussian Bounds for the Weighted Heat Kernels on the Interval, Ball, and Simplex},
  journal={Constructive Approximation},
  year={2020},
  volume={51},
  number={1},
  pages={73-122},
  doi={10.1007/s00365-019-09458-1},
  url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85063209396&doi=10.1007%2fs00365-019-09458-1&partnerID=40&md5=fde110bddced5f261e801d3168279f48},
  publisher={Springer},
  }

2019

• Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators

  Journal of fourier analysis and applications, vol. 25, iss. 6, pp. 3259-3309, 2019.
  By A. G. Georgiadis, G. Kerkyacharian, G. Kyriazis, and P. Petrushev

  [Bibtex]

  @article{Georgiadis20193259,
  author={Georgiadis, A.G. and Kerkyacharian, G. and Kyriazis, G. and Petrushev, P.},
  title={Atomic and Molecular Decomposition of Homogeneous Spaces of Distributions Associated to Non-negative Self-Adjoint Operators},
  journal={Journal of Fourier Analysis and Applications},
  year={2019},
  volume={25},
  number={6},
  pages={3259-3309},
  doi={10.1007/s00041-019-09702-z},
  url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074014607&doi=10.1007%2fs00041-019-09702-z&partnerID=40&md5=50306ff1a559e31a7955c526edc25665},
  publisher={Birkhauser Boston},
  }

2017

• Hardy spaces associated with non-negative self-adjoint operators

  Studia mathematica, vol. 239, iss. 1, pp. 17-54, 2017.
  By S. Dekel, G. Kerkyacharian, G. Kyriazis, and P. Petrushev

  [Bibtex]

  @article{Dekel201717,
  author={Dekel, S. and Kerkyacharian, G. and Kyriazis, G. and Petrushev, P.},
  title={Hardy spaces associated with non-negative self-adjoint operators},
  journal={Studia Mathematica},
  year={2017},
  volume={239},
  number={1},
  pages={17-54},
  doi={10.4064/sm8646-12-2016},
  url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026551372&doi=10.4064%2fsm8646-12-2016&partnerID=40&md5=815c8eb29b621eeef0fee48ba7b11963},
  publisher={Instytut Matematyczny},
  }

2014

• Optimal exponential bounds on the accuracy of classification

  Constructive approximation, vol. 39, iss. 3, pp. 421-444, 2014.
  By G. Kerkyacharian, A. B. Tsybakov, V. Temlyakov, D. Picard, and V. Koltchinskii

  [Bibtex]

  @article{Kerkyacharian2014421,
  author={Kerkyacharian, G. and Tsybakov, A.B. and Temlyakov, V. and Picard, D. and Koltchinskii, V.},
  title={Optimal Exponential Bounds on the Accuracy of Classification},
  journal={Constructive Approximation},
  year={2014},
  volume={39},
  number={3},
  pages={421-444},
  doi={10.1007/s00365-014-9229-3},
  url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84901038612&doi=10.1007%2fs00365-014-9229-3&partnerID=40&md5=3c0c5d6a91f6da623bd42fa7410c114a},
  publisher={Springer New York LLC},
  }