Research.

All my papers are available on the arXiv preprint server.

  1. Benjamin Jaye, Tomás Merchán, The Huovinen transform and rectifiability of measures. To appear in Adv. Math. arXiv:2103.01155

  2. Walton Green, Benjamin Jaye, and Mishko Mitkovski, Uncertainty Principles Associated to Sets Satisfying the Geometric Control Condition. To appear in J. Geom. Anal.
    arXiv:1912.05077

  3. Benjamin Jaye, Xavier Tolsa, Michele Villa, A proof of Carleson's ε2-conjecture. To appear in Ann. Math. (2021)
    arXiv:1909.08581

  4. Benjamin Jaye, Galyna V. Livshyts, Grigoris Paouris, Peter Pivovarov, Remarks on the Rényi Entropy of a sum of IID random variables. IEEE Trans. Inform. Theory, 66, (2020), no. 5, 2898--2903.
    arXiv:1904.08038

  5. Benjamin Jaye, Tomás Merchán, On the problem of existence in principal value of a Calderón-Zygmund operator on a space of non-homogeneous type, Proc London Math Soc. 121 (2020) no., 152-176. arXiv:1810.13299

  6. Benjamin Jaye, Tomás Merchán, Small local action of singular integrals on spaces of non-homogeneous type, Rev. Mat. Iberoam. 36 (2020), no. 7, 2183--2207.

arXiv:1810.13272

  1. Benjamin Jaye and Mishko Mitkovski, Quantitative uniqueness properties for L2 functions with fast decaying, or sparsely supported, Fourier transform. To appear in Int. Math. Res. Not. IMRN (2021). arXiv:1808.02149

  2. Naomi Feldheim, Ohad Feldheim, Benjamin Jaye, Fedor Nazarov, and Shahaf Nitzan, On the probability that a stationary Gaussian process with a spectral gap remains non-negative on a long interval, Int. Math. Res. Not. IMRN 2020, no. 23, 9210--9227.
    arXiv.1801.10392

  3. Benjamin Jaye, Fedor Nazarov, and Xavier Tolsa, The measures with an associated square function operator bounded in L^2, Adv. Math. 339 (2018), 60–112. arXiv:1612.04754

  4. Benjamin Jaye and Fedor Nazarov, On the boundedness of non-integer dimension Calderón-Zygmund Operators with antisymmetric kernels. Preprint.
    arXiv:1604.02014

  5. Paata Ivanisvili, Benjamin Jaye, and Fedor Nazarov, Lower bounds for uncentered maximal functions in any dimension, Int. Math. Res. Not. IMRN 2017, no. 8, 2464-2479. arXiv:1602.05895

  6. Benjamin Jaye, Fedor Nazarov, Maria Carmen Reguera, and Xavier Tolsa, The Riesz transform of codimension smaller than one and the Wolff energy. Mem. Amer. Math. Soc. 266 (2020), no. 1293.
    arXiv:1602.02821

  7. Benjamin Jaye and Fedor Nazarov, Reflectionless measures for Calderón-Zygmund operators II: Wolff potentials and rectifiability. J. Eur. Math. Soc. (JEMS) 21 (2019), no. 2, 549–583. arXiv:1507.08329

  8. Benjamin Jaye and Fedor Nazarov, Reflectionless measures for Calderón-Zygmund Operators I: Basic Theory. J. Anal. Math. 135 (2018), no. 2, 599–638. arXiv:1409.8556

  9. Benjamin Jaye and Fedor Nazarov, Three revolutions in the kernel are worse than one. Int. Math. Res. Notices. Int. Math. Res. Not. IMRN 2018, no. 23, 7305–7317. arXiv:1307.3678

  10. Benjamin Jaye and Fedor Nazarov, Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem. GAFA Seminar Notes (2011-2013), Lecture Notes in Math. 2116, (2014), pp. 199-229. arXiv:1307.1156

  11. Benjamin Jaye, Fedor Nazarov and Alexander Volberg, The fractional Riesz transform and an exponential potential. St. Petersburg Math. J. 24 (2013), 903-938, arXiv:1204.2135

  12. Benjamin Jaye, Vladimir Maz'ya and Igor Verbitsky, Quasilinear elliptic equations and weighted Sobolev-Poincaré inequalities with distributional weights. Adv. Math., Volume 232, Issue 1, 2013, Pages 513--542. arXiv:1204.3063

  13. Benjamin Jaye and Igor Verbitsky, Local and global behaviour of nonlinear equations with natural growth terms. Arch. Ration. Mech. Anal. 204 (2012), no. 2, 627--681. arXiv:1107.2448

  14. Petr Honzik and Benjamin Jaye, On the Good-λ inequality for nonlinear potentials. Proc. Amer. Math. Soc. 140 (2012), no. 12, 4167--4180. arXiv:1105.6152

  15. Benjamin Jaye, Vladimir Maz'ya, and Igor Verbitsky, Existence and regularity of positive solutions to elliptic equations of Schrödinger type. Journal d'Analyse Math, 118 (2012), 577-621. arXiv:1103.0698

  16. Benjamin Jaye and Igor Verbitsky, The fundamental solution of nonlinear equations with natural growth terms. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XII (2013), 93-139. arXiv:1002.4664