- On uniform measures in the Heisenberg group. (with V. Magnani and J. T. Tyson)

submitted. arXiV

- On the dimension spectrum of infinite subsystems of continued fractions (with D. Leykekhman and M. Urbanski)

submitted. arXiV

- The traveling salesman theorem on Carnot groups (with S. Li and S. Zimmerman)

submitted. arXiV

- The dimension spectrum of graph directed Markov systems (with D. Leykekhman and M. Urbanski)

submitted. arXiV

- Boundedness of singular integrals on C^{1,a} intrinsic graphs in the Heisenberg group (with T. Orponen and K. Fassler)

submitted. arXiV

- Intrinsic graphs and vertical beta numbers in the Heisenberg group. (with T. Orponen and K. Fassler)

**Amer. J. Math.**to appear. pdf

- Conformal Graph Directed Markov Systems on Carnot groups. (with J. T. Tyson and M. Urbanski)

**Mem. Amer. Math. Soc.**to appear. pdf

- Nonnegative kernels and 1-rectifiability in the Heisenberg group. (with S. Li)

**Anal. PDE 10-6 (2017), 1407-1428.**pdf

- Square Functions of Fractional Homogeneity and Wolff Potentials. (with L. Prat and X. Tolsa)

**Int. Math. Res. Not. no.9 (2016), 2295–2319.**pdf

- Some Calderón-Zygmund kernels and their relations to Wolff capacities and rectifiability. (with L. Prat)

**Math. Z. 282 (2016) no. 1-2, 435–460.**pdf

- Square functions and uniform rectifiability. (with J. Garnett, T. Le and X. Tolsa)

**Trans. Math. Amer. Soc. 368 (2016), no. 8, 6063–6102.**pdf

- Removable sets for homogeneous linear PDE in Carnot groups (with J. T. Tyson)

**J. Analyse Math. 27 (2016), 215–238.**pdf

- Marstrand's density theorem in the Heisenberg group. (with J. T. Tyson)

**Bull. Lond. Math. Soc. 47 (2015), no. 5, 771–788.**pdf

- Removable sets for Lipschitz harmonic functions on Carnot groups. (with V. Magnani and J. T. Tyson)

**Calc. Var. PDE. 3 no. 3-4 (2015) 755–780.**pdf

- Fractal solutions of dispersive PDE. (with M. B. Erdogan and N. Tzirakis)

**Proc. Lond. Math. Soc. (2015) 110 (3): 543–564.**pdf

- A note on weak convergence of singular integrals in metric spaces. (with M. Urbanski)

**Math. Res. Lett. Volume 22, No. 01, (2015) 11–21.**pdf

- Homogeneous kernels and self similar sets. (with M. Urbanski)

**Indiana Univ. Math. J. 64 No. 2 (2015), 411–431.**pdf

- Strong and weak estimates for singular integrals of measures separated by AD-regular boundaries. (with X. Tolsa)

**Int. Math. Res. Not. 23 (2014), 6497–6522.**pdf

- Singular integrals on self-similar subsets of metric groups. (with P. Mattila)

**Proc. Conf. ”Further Developments in Fractals and Related Fields”, in ”Trends in Mathematics” of Birkhauser (2014).**pdf

- Singular integrals on self-similar sets and removability for
Lipschitz harmonic functions in Heisenberg groups. (with P. Mattila)

**J. Reine Angew. Math. 691 (2014), 29–60.**pdf

- Capacities associated with Calderón-Zygmund kernels. (with J. Mateu, L. Prat and X. Tolsa)

**Potential Anal. 38 (2013), no. 3, 913–949.**pdf

- Calderón-Zygmund kernels and rectifiability in the plane. (with J. Mateu, L. Prat and X. Tolsa)

**Adv. Math. 231:1 (2012), 535-568.**pdf

- Singular integrals on Ahlfors-David regular subsets of the Heisenberg group. (with P. Mattila)

J. Geom. Anal. 21 (2011), no. 1, 56-77.

- Boundedness and convergence for singular integrals of measures separated by Lipschitz graphs. (with P. Mattila)

Bull. Lond. Math. Soc. 42 (2010), no. 1, 109-118.

- Directed porosity on conformal iterated function systems and weak convergence of singular integrals.

Ann. Acad. Sci. Fenn. Math. 34 (2009), no. 1, 215-232.

- Singular integrals on Sierpinski gaskets.

Publ. Mat. 53 (2009), no. 1, 245-256.