Editorial Service

I serve as an editor for Complex Analysis and Operator Theory (CAOT), which is a journal devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields.

Publications & Preprints

Preprint versions of my research are available via http://arxiv.org/a/das_t_4 and also via Google Scholar or Researchgate.

My ORCID iD is 0000-0002-3158-4972

• Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism (with L. Fishman, D. Simmons and M. Urbański). preprint | journal version | review

• A variational principle in the parametric geometry of numbers (with L. Fishman, D. Simmons and M. Urbański), submitted. preprint | journal version | review

• On the dimension spectra of infinite conformal iterated function systems (with D. Simmons). To appear in Journal of Fractal Geometry, Vol. 9 (2022), No. 1, 73-87. preprint | journal version | review

• Thermodynamic formalism for coarse expanding dynamical systems (with F. Przytycki, G. Tiozzo, M. Urbański, A. Zdunik). Communications of Mathematical Physics Vol. 384 (2021), No. 1 , 165–199. preprint | journal version | review

• Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems (with L. Fishman, D. Simmons and M. Urbański). Ergodic Theory and Dynamical Systems, Vol. 41 (2021), No. 8, 2311-2348. preprint | journal version | review

• Intersecting limit sets of Kleinian subgroups and Susskind's question (with D. Simmons). Proc. Amer. Math. Soc. Vol. 148 (2020), No. 8, 3203–3207. preprint | journal version | review

• A proof of the matrix version of Baker's conjecture in Diophantine approximation (with D. Simmons), Math. Proc. Cambridge Philos. Soc. Vol. 167 (2019), No. 1, 159-169. preprint | journal version | review

• Badly approximable points on self-affine sponges and the lower Assouad dimension (with L. Fishman, D. Simmons and M. Urbański), Ergodic Theory and Dynamical Systems, Vol. 39 (2019), No. 3, 638-657. preprint | journal version | review

• Extremality and dynamically defined measures, part I: Diophantine properties of quasi-decaying measures (with L. Fishman, D. Simmons and M. Urbański), Selecta Mathematica, Vol. 24 (2018), No. 3, 2165-2206. preprint | journal version | review

• Badly approximable vectors and fractals defined by conformal dynamical systems (with L. Fishman, D. Simmons and M. Urbański), Mathematical Research Letters, Vol. 25 (2018), no. 2, 437-467. preprint | journal version | review

• A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation (with L. Fishman, D. Simmons and M. Urbański), Comptes Rendus Mathematique, Vol. 355 (2017), No. 8, 835-846. preprint | journal version | review

• The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result (with D. Simmons), Inventiones mathematicae, Vol. 210 (2017), No. 1, 85-134. preprint | journal version | review

• Dimension rigidity in conformal structures (with D. Simmons and M. Urbański), Advances in Mathematics, Vol. 308 (2017), 1127-1186. preprint | journal version | review

• Tukia's isomorphism theorem in CAT(-1) spaces (with D. Simmons and M. Urbański), Ann. Acad. Sci. Fenn. Math., Vol. 41, 2016, 659-680. preprint | journal version | review

• Geometry and dynamics in Gromov hyperbolic metric spaces: With an emphasis on non-proper settings (with D. Simmons and M. Urbański). Mathematical Surveys and Monographs, vol. 218 (2017), American Mathematical Society. preprint | published version | review

• The Bishop-Jones relation and the Hausdorff geometry of convex-cobounded limit sets in infinite-dimensional hyperbolic space (with B. O. Stratmann and M. Urbański), Stochastics & Dynamics, Vol. 16, No. 5 (2016) 1650018. preprint | journal version | review

• The Geometry of Baire Spaces (with M. Urbański), Dynamical Systems, Vol. 26, No. 4, 2011, 537-567. journal version | review