Dmitry Badziahin

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Dmitry Badziahin [1] Dmitry (Dzmitry) A. Badziahin,

a Belarusian mathematician currently affiliated with the University of Sydney, and previously the Durham University. He holds a Ph.D. in 2007 from University of York under advisor Sanju Velani [2]. His research interests lies mostly in analytic number theory, in particular Diophantine approximation, with combinatorics of words, generalized Cantor sets and the Littlewood conjecture and its analogues. His hobbies include chess and programming - he is author of the chess utility Kvetka.

Selected Publications

Dzmitry Badziahin (2005). Inhomogeneous approximations and lower bounds for the Hausdorff dimension. Vestsi Nats. Akad. Navuk Belarusi Ser. Fiz.-Mat., Vol. 126, No. 3 (Russian) [4]
Dzmitry Badziahin, Jason Levesley (2007). A note on simultaneous and multiplicative Diophantine approximation on planar curves. Glasgow Mathematical Journal, Vol. 49, No. 2
Dzmitry Badziahin (2008). Inhomogeneous Diophantine approximation on curves and Hausdorff dimension. arXiv:0809.3937

Dzmitry Badziahin, Sanju Velani (2010). Multiplicatively badly approximable numbers and generalised Cantor sets. arXiv:1007.1848
Dzmitry Badziahin (2011). On multiplicatively badly approximable numbers. arXiv:1101.1855
Dzmitry Badziahin, Sanju Velani (2013). Badly approximable points on planar curves and a problem of Davenport. arXiv:1301.4243 » Harold Davenport
Dzmitry Badziahin, Evgeniy Zorin (2014). Thue-Morse constant is not badly approximable. arXiv:1407.3182 » Prouhet–Thue–Morse Sequence

Dzmitry Badziahin, Evgeniy Zorin (2015). On generalized Thue-Morse functions and their values. arXiv:1509.00297
Dzmitry Badziahin (2016). Computation of the Infimum in the Littlewood Conjecture. Experimental Mathematics, Vol. 25, No. 1
Dzmitry Badziahin, Evgeniy Zorin (2017). On irrationality measure of Thue-Morse constant. arXiv:1707.06677
Dzmitry Badziahin (2018). On spectrum of irrationality exponents of Mahler numbers. arXiv:1806.02946

Dzmitry Badziahin (2020). On t-adic Littlewood conjecture for generalised Thue-Morse functions. arXiv:2001.01422
Dmitry Badziahin (2021). Upper bounds for the uniform simultaneous Diophantine exponents. arXiv:2107.11134