Limiting curlicue measures for theta sums

Cellarosi, Francesco

Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, p. 466-497 / Harvested from Project Euclid

Résumé

We consider the ensemble of curves {γ_α, N: α∈(0, 1], N∈ℕ} obtained by linearly interpolating the values of the normalized theta sum N^−1/2∑_n=0^N'−1exp(πin²α), 0≤N'

Publié le : 2011-05-15
Classification: Theta sums, Curlicues, Limiting distribution, Continued fractions with even partial quotients, Renewal-type limit theorems, 37E05, 11K50, 11J70, 28D05, 60F99, 60K05

@article{1300887278,
     author = {Cellarosi, Francesco},
     title = {Limiting curlicue measures for theta sums},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {47},
     number = {1},
     year = {2011},
     pages = { 466-497},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1300887278}
}

Cellarosi, Francesco. Limiting curlicue measures for theta sums. Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, pp.  466-497. http://gdmltest.u-ga.fr/item/1300887278/