For grids (p/3^n)Z+(r/3^n) with p rational and r irrational, the Peano curve's horizontal coordinate x has quadratic variation 3^{floor(-log_3 p)}p(1-(3/4)3^{floor(-log_3 p)}p)t.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)
For grids (p/3^n)Z+(r/3^n) with p rational and r irrational, the Peano curve's horizontal coordinate x has quadratic variation 3^{floor(-log_3 p)}p(1-(3/4)3^{floor(-log_3 p)}p)t.