Florin-Petre Boca
List of publications
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Boca F and Niţică V - Combinatorial properties of groups and simple C*-algebras with a unique trace, J. Operator Theory 20 (1988), 183-196.
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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.
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Boca F - Free products of completely positive maps and spectral sets, J. Functional Analysis 97 (1991), 251-263.
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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.
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Boca F - Completely positive maps on amalgamated product C*-algebras, Math. Scandinavica 72 (1993), 212-222.
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Boca F - On the method of constructing irreducible finite index subfactors of Popa, Pacific J. Math. 161 (1993), 201-231.
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Boca F P - Amalgamated product von Neumann algebras and subfactors, PhD Dissertation, University of California Los Angeles, June 1993.
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Boca F P - Ergodic actions of compact matrix pseudogroups on C*-algebras, in Recent Advances in Operator Algebras, Asterisque 232 (1995), pp. 93-110.
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Boca F P - On the flip fixed point algebra in certain noncommutative tori, Indiana J. Math. 45 (1996), 253-272.
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Boca F P - The structure of higher-dimensional noncommutative tori and metric diophantine approximation, J. Reine Angew. Mathematik 492 (1997), 179-219.
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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.
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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.
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Boca F P - Around a characterization of the lattice of higher relative commutants, preprint Univ. of Wales Swansea, 1997.
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Boca F P - Projections in rotation algebras and theta functions, Commun. Math. Phys. 202 (1999), 325-357.
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Boca F P and Zaharescu A - Factors of type III and the distribution of prime numbers, Proc. London Math. Soc. 80 (2000), 145-178.
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corrigendum
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Boca F P - On the spectrum of certain discrete Schrodinger operators with quasiperiodic potential, Duke Math. J. 101 (2000), 515-528.
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Boca F P, Cobeli C and Zaharescu A - Distribution of lattice points visible from the origin, Commun. Math. Phys. 213 (2000), 433-470.
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Boca F P and Zaharescu A - Pair correlation of values of rational functions (mod p), Duke Math. J. 105 (2000), 267-307.
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Boca F P and Goldstein P - Topological entropy for the canonical endomorphism of Cuntz-Krieger algebras, Bull. London Math. Soc.
32 (2000), 345-352.
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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.
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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.
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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.
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Boca F P and Zaharescu A - On the pair correlation for fractional parts of vector sequences, Archiv der Mathematik (Basel) 77 (2001),
498-507.
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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
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Boca F P, Vâjâitu M and Zaharescu A - Integer points close to algebraic curves, Journal of the London Math. Soc. 65 (2002), 10-26.
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Boca F P, Gologan R N and Zaharescu A - On the index of Farey sequences,
The Quarterly Journal of Mathematics 53 (2002), 377-391.
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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.
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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.
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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.
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Boca F P and Zaharescu A - On the correlations of directions in the
Euclidean plane, Trans. Amer. Math. Soc.
358 (2006), 1797-1825.
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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.
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Boca F P and Zaharescu A - Norm estimates on almost Mathieu operators,
J. Functional Analysis 220 (2005), 76-96.
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Boca F P and Zaharescu A - The correlations of Farey fractions,
J. London Math. Soc. 72 (2005), 25-39.
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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.
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corrigendum
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Boca F P - Products of matrices
and
and the distribution of reduced quadratic irrationals,
J. Reine Angew. Mathematik 606 (2007), 149-165.
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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.
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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.
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Boca F P - A problem of Erdös, Szüsz and Turán
concerning diophantine approximations, Internat. J. Number
Theory 4 (2008), 691-708.
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Boca F P - An AF algebra associated with the Farey tessellation,
Canadian J. Math 60 (2008), 975-1000.
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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.
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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.
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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.
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Boca F P, Heersink B and Spiegelhalter P - Gap distribution of Farey fractions under some divisibility constraints, Integers 13 (2013), A44, 15pp.
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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.
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Boca F P, Popa A A and Zaharescu A - Pair correlation of hyperbolic lattice angles,
Internat. J. Number Theory 10 (2014), 1955-1989.
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Boca F P - The distribution of rational numbers and ergodic theory, Rev. Roumaine
Math. Pures Appl. 62 (2017), 41-62.
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- 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.
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- 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.
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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.
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- Boca F P and Merriman C - α-Expansions with odd partial quotients, Journal
of Number Theory 199 (2019), 322-341.
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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.
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Boca F P and Siskaki M - Distribution of periodic points of certain Gauss shifts with infinite invariant measure,
preprint arXiv:2008.00050 paper
Books edited:
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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
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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