Florin-Petre Boca

List of publications

  1. Boca F and Niţică V - Combinatorial properties of groups and simple C*-algebras with a unique trace, J. Operator Theory 20 (1988), 183-196. paper
  2. Boca F and Niţică V - Extensions of groups and simple C*-algebras, in Operator Theory: Advances and Applications, Birkhäuser-Verlag, Vol.43, 1990, pp. 123-130. abstract
  3. Boca F - Free products of completely positive maps and spectral sets, J. Functional Analysis 97 (1991), 251-263. paper
  4. Boca F and Rădulescu F - Singularity of radial subalgebras in II1 factors associated with free products of groups, J. Functional Analysis 103 (1992), 138-159. paper
  5. Boca F - Completely positive maps on amalgamated product C*-algebras, Math. Scandinavica 72 (1993), 212-222. paper
  6. Boca F - On the method of constructing irreducible finite index subfactors of Popa, Pacific J. Math. 161 (1993), 201-231. paper
  7. Boca F P - Amalgamated product von Neumann algebras and subfactors, PhD Dissertation, University of California Los Angeles, June 1993.
  8. Boca F P - Ergodic actions of compact matrix pseudogroups on C*-algebras, in Recent Advances in Operator Algebras, Asterisque 232 (1995), pp. 93-110. paper
  9. Boca F P - On the flip fixed point algebra in certain noncommutative tori, Indiana J. Math. 45 (1996), 253-272.
  10. Boca F P - The structure of higher-dimensional noncommutative tori and metric diophantine approximation, J. Reine Angew. Mathematik 492 (1997), 179-219. abstract
  11. Boca F P and Zaharescu A - Facteurs de type III associes aux ensembles de nombres premiers, C. R. Acad. Sci. Paris, t. 324, Serie I, 1997, 797-800.
  12. Boca F P - A note on full free product C*-algebras, lifting and quasidiagonality, in Operator Theory, Operator Algebras and Related Topics, Proc. of the 16th International Conference on Operator Theory, Timişoara 1996, The Theta Foundation, Bucharest 1997, pp. 51-63. paper
  13. Boca F P - Around a characterization of the lattice of higher relative commutants, preprint Univ. of Wales Swansea, 1997.
  14. Boca F P - Projections in rotation algebras and theta functions, Commun. Math. Phys. 202 (1999), 325-357. abstract
  15. Boca F P and Zaharescu A - Factors of type III and the distribution of prime numbers, Proc. London Math. Soc. 80 (2000), 145-178. abstract corrigendum
  16. Boca F P - On the spectrum of certain discrete Schrodinger operators with quasiperiodic potential, Duke Math. J. 101 (2000), 515-528. paper
  17. Boca F P, Cobeli C and Zaharescu A - Distribution of lattice points visible from the origin, Commun. Math. Phys. 213 (2000), 433-470. paper
  18. Boca F P and Zaharescu A - Pair correlation of values of rational functions (mod p), Duke Math. J. 105 (2000), 267-307. paper
  19. Boca F P and Goldstein P - Topological entropy for the canonical endomorphism of Cuntz-Krieger algebras, Bull. London Math. Soc. 32 (2000), 345-352. paper
  20. Boca F P, Cobeli C and Zaharescu A - A conjecture of R.R. Hall on Farey points, J. Reine Angew. Mathematik 535 (2001), 207-236. abstract
  21. Augustin V, Boca F P, Cobeli C and Zaharescu A - The h-spacing distribution between Farey points, Math. Proc. Cambridge Phil. Soc. 131 (2001), 23-38.
  22. Boca F P and Zaharescu A - On a class of subgroups of R associated with subsets of prime numbers, Houston J. Math. 27 (2001), 823-844. paper
  23. Boca F P and Zaharescu A - On the pair correlation for fractional parts of vector sequences, Archiv der Mathematik (Basel) 77 (2001), 498-507. paper
  24. Boca F P - Rotation C*-Algebras and Almost Mathieu Operators, The Theta Foundation, Bucharest, 2001, ISBN 973-99097-7-9, xviii+172 pp. abstract. corrigendum
  25. Boca F P, Vâjâitu M and Zaharescu A - Integer points close to algebraic curves, Journal of the London Math. Soc. 65 (2002), 10-26. abstract
  26. Boca F P, Gologan R N and Zaharescu A - On the index of Farey sequences, The Quarterly Journal of Mathematics 53 (2002), 377-391. paper
  27. Boca F P, Gologan R N and Zaharescu A - The average length of a trajectory in a certain billiard in a flat two-torus, New York Journal of Mathematics 9 (2003), 303-330. paper
  28. Boca F P, Gologan R N and Zaharescu A - The statistics of the trajectory of a certain billiard in a flat two-torus, Commun. Math. Phys. 240 (2003), 53-73. paper
  29. Boca F P, Cobeli C and Zaharescu A - On the distribution of the Farey sequence with odd denominators, Michigan Math. J. 51 (2003), 557-573. paper
  30. Boca F P and Zaharescu A - On the correlations of directions in the Euclidean plane, Trans. Amer. Math. Soc. 358 (2006), 1797-1825. paper
  31. Boca F P and Zaharescu A - Farey fractions and two-dimensional tori, in Noncommutative Geometry and Number Theory (C. Consani, M. Marcolli, eds.), Aspects of Mathematics E37, Vieweg Verlag, Wiesbaden, 2006, pp. 57-77. abstract
  32. Boca F P and Zaharescu A - Norm estimates on almost Mathieu operators, J. Functional Analysis 220 (2005), 76-96. paper
  33. Boca F P and Zaharescu A - The correlations of Farey fractions, J. London Math. Soc. 72 (2005), 25-39. paper
  34. Boca F P and Zaharescu A - The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit, Commun. Math. Phys. 269 (2007), 425-471. paper corrigendum
  35. Boca F P - Products of matrices and and the distribution of reduced quadratic irrationals, J. Reine Angew. Mathematik 606 (2007), 149-165. abstract
  36. Boca F P - On the distribution of angles between geodesic rays associated with hyperbolic lattice points, The Quarterly Journal of Mathematics 58 (2007), 281-295. paper
  37. Boca F P - Rotation algebras and continued fractions, in Operator Algebras, Operator Theory and Applications (M.A. Bastos, I. Gohberg, A.B. Lebre, F.-O. Speck eds.), Operator Theory Adv. and Appl., Vol. 181, Birkhauser , 2008, pp. 121-142. abstract
  38. Boca F P - A problem of Erdös, Szüsz and Turán concerning diophantine approximations, Internat. J. Number Theory 4 (2008), 691-708. abstract
  39. Boca F P - An AF algebra associated with the Farey tessellation, Canadian J. Math 60 (2008), 975-1000. paper
  40. Boca F P and Gologan R N - On the distribution of the free path length of the linear flow in a honeycomb, Annales de l'Institut Fourier 59 (2009), 1043-1075. paper
  41. Boca F P - The distribution of the linear flow length in a honeycomb in the small-scatterer limit, New York Journal of Mathematics 16 (2010), 651-735. paper
  42. Boca F P and Vandehey J - On certain statistical properties of continued fractions with even and with odd partial quotients, Acta Arithmetica 156 (2012), 201-221. paper
  43. Boca F P, Heersink B and Spiegelhalter P - Gap distribution of Farey fractions under some divisibility constraints, Integers 13 (2013), A44, 15pp. paper
  44. Boca F P, Pasol V, Popa A A and Zaharescu A - Pair correlation of angles between reciprocal geodesics on the modular surface, Algebra and Number Theory 8 (2014), 999-1035. paper
  45. Boca F P, Popa A A and Zaharescu A - Pair correlation of hyperbolic lattice angles, Internat. J. Number Theory 10 (2014), 1955-1989. abstract
  46. Boca F P - The distribution of rational numbers and ergodic theory, Rev. Roumaine Math. Pures Appl. 62 (2017), 41-62. paper
  47. Boca F P and Merriman C - Coding of geodesics on some modular surfaces and applications to odd and even continued fractions, Indagationes Math. 29 (2018), 1214-1234. abstract
  48. Boca F P and Linden C - On Minkowski type question mark functions associated with even or odd continued fractions, Monatsh. Math. 187 (2018), 35-57. abstract
  49. Boca F P, Heersink B and Merriman C - Counting periodic points of the Farey map through a number theoretical method, Comm. Math. Phys. 365 (2019), 998-1002, appendix to B. Heersink, Distribution of the periodic points of the Farey map, Comm. Math. Phys. 365 (2019), 9711-1003. abstract
  50. Boca F P and Merriman C - α-Expansions with odd partial quotients, Journal of Number Theory 199 (2019), 322-341. abstract
  51. Boca F P and Radziwill M - Limiting distribution of eigenvalues in the large sieve matrix, Journal of the European Mathematical Society 22 (2020), 2287-2329. abstract
  52. Boca F P and Siskaki M - Distribution of periodic points of certain Gauss shifts with infinite invariant measure, Nonlinearity 34 (2021), 4570-4603. abstract
  53. Boca F P and Siskaki M - A note on the pair correlation of Farey fractions, preprint arXiv 2109.12744, to appear in Acta Arithmetica.
  54. Boca F P and Siskaki M - On the Gauss-Kuzmin-Lévy problem for nearest integer continued fractions, preprint arXiv 2209.07452.

Books edited:

  1. Boca F P, Bratteli O, Longo R and Siedentop H, Advances in Operator Algebras and Mathematical Physics (Sinaia, 2003), xvi+285 pp., The Theta Foundation, Bucharest 2005, ISBN 973-85432-7-4. abstract
  2. Boca F P, Purice R and Strătilă Ş, Perspectives in Operator Algebras and Mathematical Physics (Bucharest, 2005), xii+148 pp., The Theta Foundation, Bucharest 2008, ISBN 978-973-87899-1-3. abstract