10:05–10:55 am (CEST), room 207 in Building H, BME.
Uniform dimension results for graphs of continuous functions
Balka Richárd (HUN-REN Alfréd Rényi Institute of Mathematics)
Let 0< d < 1 be arbitrarily given. We consider continuous functions f on [0,1] which have large graphs over any set A of Hausdorff dimension d. More precisely, let g(d) be the supremum of numbers s such that there exists a function f which has a graph of Hausdorff dimension at least s over every set of Hausdorff dimension d. Our aim is to determine g(d), but we are only able to give upper and lower estimates. For the lower bound, we determine the above implied constant for fractional Brownian motions. This is a work in progress with Tamás Keleti.
Monday, April 20, 2026
10:05–10:55 am (CEST), room 207 in Building H, BME.
Usual place: Budapest University of Technology and Economics (H-1111 Budapest, Műegyetem rkp 3, Hungary),
Building H, 2-nd floor 207 and Zoom.
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