FlorinPetre Boca
List of publications

Boca F and Niţică V  Combinatorial properties of groups and simple C*algebras with a unique trace, J. Operator Theory 20 (1988), 183196.
paper

Boca F and Niţică V  Extensions of groups and simple C*algebras, in Operator Theory: Advances and Applications, BirkhäuserVerlag, Vol.43, 1990, pp. 123130.
abstract

Boca F  Free products of completely positive maps and spectral sets, J. Functional Analysis 97 (1991), 251263.
paper

Boca F and Rădulescu F  Singularity of radial subalgebras in II_{1} factors associated with free products of groups, J. Functional Analysis 103 (1992), 138159.
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Boca F  Completely positive maps on amalgamated product C*algebras, Math. Scandinavica 72 (1993), 212222.
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Boca F  On the method of constructing irreducible finite index subfactors of Popa, Pacific J. Math. 161 (1993), 201231.
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Boca F P  Amalgamated product von Neumann algebras and subfactors, PhD Dissertation, University of California Los Angeles, June 1993.

Boca F P  Ergodic actions of compact matrix pseudogroups on C*algebras, in Recent Advances in Operator Algebras, Asterisque 232 (1995), pp. 93110.
paper

Boca F P  On the flip fixed point algebra in certain noncommutative tori, Indiana J. Math. 45 (1996), 253272.

Boca F P  The structure of higherdimensional noncommutative tori and metric diophantine approximation, J. Reine Angew. Mathematik 492 (1997), 179219.
abstract

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, 797800.

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. 5163.
paper

Boca F P  Around a characterization of the lattice of higher relative commutants, preprint Univ. of Wales Swansea, 1997.

Boca F P  Projections in rotation algebras and theta functions, Commun. Math. Phys. 202 (1999), 325357.
abstract

Boca F P and Zaharescu A  Factors of type III and the distribution of prime numbers, Proc. London Math. Soc. 80 (2000), 145178.
abstract
corrigendum

Boca F P  On the spectrum of certain discrete Schrodinger operators with quasiperiodic potential, Duke Math. J. 101 (2000), 515528.
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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), 433470.
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Boca F P and Zaharescu A  Pair correlation of values of rational functions (mod p), Duke Math. J. 105 (2000), 267307.
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Boca F P and Goldstein P  Topological entropy for the canonical endomorphism of CuntzKrieger algebras, Bull. London Math. Soc.
32 (2000), 345352.
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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), 207236.
abstract

Augustin V, Boca F P, Cobeli C and Zaharescu A  The hspacing distribution between Farey points, Math. Proc. Cambridge Phil. Soc. 131 (2001), 2338.

Boca F P and Zaharescu A  On a class of subgroups of R
associated with subsets of prime numbers, Houston J. Math. 27 (2001),
823844.
paper

Boca F P and Zaharescu A  On the pair correlation for fractional parts of vector sequences, Archiv der Mathematik (Basel) 77 (2001),
498507.
paper

Boca F P  Rotation C*Algebras and Almost Mathieu Operators,
The Theta Foundation, Bucharest, 2001, ISBN 9739909779, xviii+172 pp.
abstract.
corrigendum

Boca F P, Vâjâitu M and Zaharescu A  Integer points close to algebraic curves, Journal of the London Math. Soc. 65 (2002), 1026.
abstract

Boca F P, Gologan R N and Zaharescu A  On the index of Farey sequences,
The Quarterly Journal of Mathematics 53 (2002), 377391.
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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 twotorus,
New York Journal of Mathematics 9 (2003), 303330.
paper

Boca F P, Gologan R N and Zaharescu A  The statistics of the
trajectory of a certain billiard in a flat twotorus, Commun. Math. Phys. 240 (2003), 5373.
paper

Boca F P, Cobeli C and Zaharescu A  On the distribution of the
Farey sequence with odd denominators, Michigan Math. J. 51 (2003),
557573.
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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), 17971825.
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Boca F P and Zaharescu A  Farey fractions and twodimensional tori,
in Noncommutative Geometry and Number Theory
(C. Consani, M. Marcolli, eds.), Aspects of Mathematics E37, Vieweg Verlag,
Wiesbaden, 2006, pp. 5777.
abstract

Boca F P and Zaharescu A  Norm estimates on almost Mathieu operators,
J. Functional Analysis 220 (2005), 7696.
paper

Boca F P and Zaharescu A  The correlations of Farey fractions,
J. London Math. Soc. 72 (2005), 2539.
paper

Boca F P and Zaharescu A  The distribution of the free path lengths
in the periodic twodimensional Lorentz gas in the smallscatterer limit,
Commun. Math. Phys. 269 (2007), 425471.
paper
corrigendum

Boca F P  Products of matrices
and
and the distribution of reduced quadratic irrationals,
J. Reine Angew. Mathematik 606 (2007), 149165.
abstract

Boca F P  On the distribution of angles between geodesic rays
associated with hyperbolic lattice points, The Quarterly Journal of
Mathematics 58 (2007), 281295.
paper

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. 121142.
abstract

Boca F P  A problem of Erdös, Szüsz and Turán
concerning diophantine approximations, Internat. J. Number
Theory 4 (2008), 691708.
abstract

Boca F P  An AF algebra associated with the Farey tessellation,
Canadian J. Math 60 (2008), 9751000.
paper

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), 10431075.
paper

Boca F P  The distribution of the linear flow length in a honeycomb in the smallscatterer limit, New York Journal of Mathematics
16 (2010), 651735.
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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), 201221.
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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), 9991035.
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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), 19551989.
abstract

Boca F P  The distribution of rational numbers and ergodic theory, Rev. Roumaine
Math. Pures Appl. 62 (2017), 4162.
paper
 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), 12141234.
abstract
 Boca F P and Linden C  On Minkowski type question mark functions associated with
even or odd continued fractions, Monatsh. Math. 187 (2018), 3557.
abstract

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), 9981002,
appendix to B. Heersink, Distribution of the periodic points of
the Farey map, Comm. Math. Phys. 365 (2019), 97111003.
abstract
 Boca F P and Merriman C  αExpansions with odd partial quotients, Journal
of Number Theory 199 (2019), 322341.
abstract

Boca F P and Radziwill M  Limiting distribution of eigenvalues in the large sieve matrix,
Journal of the European Mathematical Society 22 (2020), 22872329.
abstract

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:

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 9738543274.
abstract

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 9789738789913.
abstract