Geodesic
Example of divergent Fourier series over rearranged Walsh--Paley system
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 9-12

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A specially chosen class of Shipp's rearrangements of the Walsh system is considered in the paper. An example of a Fourier series from the class $L(\ln^{+}\ln^{+})^{1-\epsilon}L$ divergent almost everywhere is conctructed for the systems obtained here. 
@article{VMUMM_2010_6_a1,
     author = {I. V. Polyakov},
     title = {Example of divergent {Fourier} series over rearranged {Walsh--Paley} system},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {9--12},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a1/}
}
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I. V. Polyakov. Example of divergent Fourier series over rearranged Walsh--Paley system. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 9-12. http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a1/