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.
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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.
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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.
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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.
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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.
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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 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.
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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.
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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), 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
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