@article{16590,
  author       = {{Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Kobilarov, Marin}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{577--578}},
  title        = {{{Solving optimal control problems by using inherent dynamical properties}}},
  doi          = {{10.1002/pamm.201010281}},
  year         = {{2010}},
}

@article{16673,
  author       = {{Tantardini, Marco and Fantino, Elena and Ren, Yuan and Pergola, Pierpaolo and Gómez, Gerard and Masdemont, Josep J.}},
  issn         = {{0923-2958}},
  journal      = {{Celestial Mechanics and Dynamical Astronomy}},
  pages        = {{215--232}},
  title        = {{{Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem}}},
  doi          = {{10.1007/s10569-010-9299-x}},
  year         = {{2010}},
}

@inproceedings{16675,
  author       = {{Thiere, Bianca and Ober-Blöbaum, Sina and Pergola, Pierpaolo}},
  booktitle    = {{AIAA/AAS Astrodynamics Specialist Conference}},
  isbn         = {{9781624101502}},
  title        = {{{Detecting Initial Guesses for Trajectories in the (P)CRTBP}}},
  doi          = {{10.2514/6.2010-7962}},
  year         = {{2010}},
}

@article{29411,
  author       = {{Leyendecker, S.  and Ober-Blöbaum, Sina and Marsden, J. E. and Ortiz, M.}},
  journal      = {{Optimal Control, Applications and Methods}},
  pages        = {{505--528}},
  title        = {{{Discrete mechanics and optimal control for constrained systems}}},
  volume       = {{31(6)}},
  year         = {{2010}},
}

@inproceedings{29468,
  author       = {{Moore, A. and Ober-Blöbaum, Sina and Marsden, J.E.}},
  booktitle    = {{4th European Conference on Computational Mechanics }},
  location     = {{Paris, France}},
  title        = {{{The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control}}},
  year         = {{2010}},
}

@inproceedings{29467,
  author       = {{Thiere, B. and Ober-Blöbaum, Sina and Pergola, P.}},
  booktitle    = {{AIAA/AAS Astrodynamics Specialist Conference}},
  location     = {{Toronto, Canada, USA}},
  title        = {{{Detecting initial guesses for trajectories in the (P)CRTBP}}},
  year         = {{2010}},
}

@inproceedings{29496,
  author       = {{Ober-Blöbaum, Sina and Walther, A.}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{585--586}},
  title        = {{{Computation of derivatives for structure preserving optimal control using automatic differentiation}}},
  volume       = {{10(1)}},
  year         = {{2010}},
}

@inproceedings{29495,
  author       = {{Flaßkamp, K. and Ober-Blöbaum, Sina and Kobilarov, M.}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{577--578}},
  title        = {{{Solving optimal control problems by using inherent dynamical properties}}},
  volume       = {{10(1)}},
  year         = {{2010}},
}

@article{34886,
  abstract     = {{We give asymptotic upper and lower bounds for the number of squarefree d (0 < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as usual, can equivalently be interpreted in terms of real quadratic fields with a fundamental unit with norm −1 and give strong evidence in the direction of a conjecture due to P. Stevenhagen.}},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0003-486X}},
  journal      = {{Annals of Mathematics}},
  keywords     = {{Statistics, Probability and Uncertainty, Mathematics (miscellaneous)}},
  number       = {{3}},
  pages        = {{2035--2104}},
  publisher    = {{Annals of Mathematics}},
  title        = {{{On the negative Pell equation}}},
  doi          = {{10.4007/annals.2010.172.2035}},
  volume       = {{172}},
  year         = {{2010}},
}

@article{34888,
  abstract     = {{We call a positive square-free integer d special, if d is not divisible by primes congruent to 3 mod 4. We show that the period of the expansion of in continued fractions is asymptotically more often odd than even, when we restrict to special integers. We note that this period is always even for a non-special square-free integer d. It is well known that the above period is odd if and only if the negative Pell equation x²−dy²=−1 is solvable. The latter problem is solvable if and only if the narrow and the ordinary class groups of ℚ(√d) are equal. In a prior work we fully described the asymptotics of the 4-ranks of those class groups. Here we get the first non-trivial results about the asymptotic behavior of the 8-rank of the narrow class group. For example, we show that more than 76% of the quadratic fields ℚ(√d), where d is special, have the property that the 8-rank of the narrow class group is zero.}},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0024-6115}},
  journal      = {{Proceedings of the London Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{2}},
  pages        = {{337--391}},
  publisher    = {{Wiley}},
  title        = {{{The parity of the period of the continued fraction of d}}},
  doi          = {{10.1112/plms/pdp057}},
  volume       = {{101}},
  year         = {{2010}},
}

@article{34887,
  abstract     = {{Let d be a nonsquare positive integer. We give the value of the natural probability that the narrow ideal class groups of the quadratic fields ℚ(√d) and ℚ(√−d) have the same 4-ranks. }},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{1937-0652}},
  journal      = {{Algebra &amp; Number Theory}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{5}},
  pages        = {{493--508}},
  publisher    = {{Mathematical Sciences Publishers}},
  title        = {{{On the Spiegelungssatz for the 4-rank}}},
  doi          = {{10.2140/ant.2010.4.493}},
  volume       = {{4}},
  year         = {{2010}},
}

@article{42803,
  abstract     = {{We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the run time of these algorithms and consider several related problems, including the computation of two-sided ideal classes, isomorphism classes of orders, connecting ideals for orders, and ideal principalization. We conclude by giving the complete list of definite Eichler orders with class number at most 2.}},
  author       = {{Kirschmer, Markus and Voight, John}},
  issn         = {{0097-5397}},
  journal      = {{SIAM Journal on Computing}},
  keywords     = {{General Mathematics, General Computer Science}},
  number       = {{5}},
  pages        = {{1714--1747}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Algorithmic Enumeration of Ideal Classes for Quaternion Orders}}},
  doi          = {{10.1137/080734467}},
  volume       = {{39}},
  year         = {{2010}},
}

@article{16499,
  author       = {{Biasco, Luca and Di Gregorio, Laura}},
  issn         = {{0003-9527}},
  journal      = {{Archive for Rational Mechanics and Analysis}},
  pages        = {{303--362}},
  title        = {{{A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation}}},
  doi          = {{10.1007/s00205-009-0240-y}},
  year         = {{2009}},
}

@inproceedings{16524,
  author       = {{Blesken, Matthias and Ruckert, Ulrich and Steenken, Dominik and Witting, Katrin and Dellnitz, Michael}},
  booktitle    = {{2009 NORCHIP}},
  isbn         = {{9781424443109}},
  title        = {{{Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques}}},
  doi          = {{10.1109/norchp.2009.5397800}},
  year         = {{2009}},
}

@article{16545,
  author       = {{Dellnitz, M. and Witting, K.}},
  issn         = {{1752-5055}},
  journal      = {{International Journal of Computing Science and Mathematics}},
  title        = {{{Computation of robust Pareto points}}},
  doi          = {{10.1504/ijcsm.2009.027876}},
  year         = {{2009}},
}

@article{16572,
  author       = {{Dellnitz, Michael and Froyland, Gary and Horenkamp, Christian and Padberg, Kathrin}},
  issn         = {{0936-7195}},
  journal      = {{GAMM-Mitteilungen}},
  pages        = {{47--60}},
  title        = {{{On the Approximation of Transport Phenomena - a Dynamical Systems Approach}}},
  doi          = {{10.1002/gamm.200910004}},
  year         = {{2009}},
}

@article{16573,
  author       = {{Dellnitz, M. and Froyland, G. and Horenkamp, C. and Padberg-Gehle, K. and Sen Gupta, A.}},
  issn         = {{1607-7946}},
  journal      = {{Nonlinear Processes in Geophysics}},
  pages        = {{655--663}},
  title        = {{{Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators}}},
  doi          = {{10.5194/npg-16-655-2009}},
  year         = {{2009}},
}

@article{16574,
  author       = {{Dellnitz, Michael and Ober-Blöbaum, Sina and Post, Marcus and Schütze, Oliver and Thiere, Bianca}},
  issn         = {{0923-2958}},
  journal      = {{Celestial Mechanics and Dynamical Astronomy}},
  pages        = {{33--59}},
  title        = {{{A multi-objective approach to the design of low thrust space trajectories using optimal control}}},
  doi          = {{10.1007/s10569-009-9229-y}},
  year         = {{2009}},
}

@article{16636,
  author       = {{Meyer, A. and Dellnitz, M.}},
  issn         = {{1474-6670}},
  journal      = {{IFAC Proceedings Volumes}},
  pages        = {{68--73}},
  title        = {{{Symmetries in Timed Continuous Petri Nets}}},
  doi          = {{10.3182/20090916-3-es-3003.00013}},
  year         = {{2009}},
}

@article{16649,
  author       = {{Padberg, Kathrin and Thiere, Bianca and Preis, Robert and Dellnitz, Michael}},
  issn         = {{1007-5704}},
  journal      = {{Communications in Nonlinear Science and Numerical Simulation}},
  pages        = {{4176--4190}},
  title        = {{{Local expansion concepts for detecting transport barriers in dynamical systems}}},
  doi          = {{10.1016/j.cnsns.2009.03.018}},
  year         = {{2009}},
}