Publications

The following papers are available on an appropriate request.

Papers in Preparation and Preprints

2024

[14] "Hausdorff dimension of exceptional sets regarding almost-low discrepancy hybrid sequences induced by Kronecker sequences", (with K. Iamthong and A. Wetayawanich), 2024, preprint

2023

[13] "Discrepancy of Weyl sequences (nα) perturbed by rationally periodic functions", (with S. Meleshko), Bull. Iranian Math. Soc. 49(42):1-11, 2023; https://doi.org/10.1007/s41980-023-00788-2

2019

[12] "The generalized and modified Halton sequence in the Cantor bases", (with D. Bednařík, D. Marques and P. Trojovský), Monatsh. Math. 188:1-29, 2019; https://doi.org/10.1007/s00605-018-1225-4

2018

[11] "On the quantitative metric theory of continued fractions in positive characteristic", (with R. Nair), Proc. Edinb. Math. Soc. (2), 61(1):283-293, 2018; https://doi.org/10.1017/S0013091517000177

2017

[10] "Distribution functions for subsequences of generalised van der Corput sequences", (with A. Haddley, R. Nair and M. Weber), Unif. Distrib. Theory, 12(2):1-10, 2017; https://doi.org/10.1515/udt-2017-0011

[9] "The Halton sequence and its discrepancy in the Cantor expansion", (with A. Haddley and R. Nair), Period. Math. Hungar., 75(1):128-141, 2017; http://dx.doi.org/10.1007/s10998-016-0169-5

2016

[8] "Quantitative metric theory of continued fractions", (with J. Hančl, A. Haddley and R. Nair), Proc. Indian Acad. Sci. (Math. Sci.), 126(2):167-177, 2016; http://dx.doi.org/10.1007/s12044-016-0266-7

[7] "On variants of the Halton sequence", (with A. Jaššová and R. Nair), Monatsh. Math., 108(4):743-764, 2016; http://dx.doi.org/10.1007/s00605-015-0794-8

2015

[6] "On recurrence in positive characteristic", (with A. Jaššová, S. Kristensen and R. Nair), Indag. Math. (N.S.), 26(2):346-354, 2015; http://dx.doi.org/10.1016/j.indag.2014.11.003

2014

[0] "On the metric theory of numbers in non-Archimedean settings", Ph.D. Thesis, University of Liverpool (UK), 2014; http://repository.liv.ac.uk/2006661/

[5] "On the metric theory of continued fractions in positive characteristic", (with R. Nair), Mathematika, 60(2):307-320, 2014; http://dx.doi.org/10.1112/S0025579314000114

[4] "On the complexity of the Liouville numbers in positive characteristic", (with R. Nair), Q.J. Math., 65(2):439-457, 2014; http://dx.doi.org/10.1093/qmath/hat019

2013

[3] "Distribution functions for subsequences of the van der Corput sequence", (with R. Nair), Indag. Math. (N.S.), 24(3):593-601, 2013; http://dx.doi.org/10.1016/j.indag.2013.03.006

[2] "On the metric theory of p-adic continued fractions", (with J. Hančl, A. Jaššová and R. Nair), Indag. Math. (N.S.), 24(1):42-56, 2013; http://dx.doi.org/10.1016/j.indag.2012.06.004

[1] "Polynomial actions in positive characteristic", (with J. Hančl, A. Jaššová and R. Nair), Proc. Steklov Inst. Math., 280(suppl. 2):37-42, 2013; http://dx.doi.org/10.1134/S0081543813030048

2012

[1] "Polynomial actions in positive characteristic", (with J. Hančl, A. Jaššová and R. Nair), Mathematics and Informatics, 1, Dedicated to 75th Anniversary of Anatolii Alekseevich Karatsuba, Sovrem. Probl. Mat., 16, Steklov Math. Inst., RAS, Moscow, 45-51, 2012; http://dx.doi.org/10.4213/spm33