Category: math»article»published

• 2022

• Decidability and k-regular sequences
  
  | categories: math, article, published | 12. March 2022 |

• 2021

• Towards a computational proof of Vizing's conjecture using semidefinite programming and sums-of-squares
  
  | categories: math, article, published | 11. February 2021 |

• 2020

• On the minimal Hamming weight of a multi-base representation
  
  | categories: math, article, published | 01. March 2020 |

• 2019

• Asymptotic analysis of regular sequences
  
  | categories: math, article, published | 25. October 2019 |
• An optimization-based sum-of-squares approach to Vizing's conjecture
  
  | categories: math, article, published | 15. July 2019 |
• Dual-pivot quicksort: Optimality, analysis and zeros of associated lattice paths
  
  | categories: math, article, published | 01. July 2019 |
• Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences
  
  | categories: math, article, published | 06. January 2019 |

• 2018

• Analysis of summatory functions of regular sequences: Transducer and Pascal's rhombus
  
  | categories: math, article, published | 25. June 2018 |

• 2017

• Non-minimality of the width-w non-adjacent form in conjunction with trace one τ-adic digit expansions and Koblitz curves in characteristic two
  
  | categories: math, article, published | 15. August 2017 |
• An extended note on the comparison-optimal dual-pivot quickselect
  
  | categories: math, article, published | 16. January 2017 |

• 2016

• Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort
  
  | categories: math, article, published | 08. July 2016 |
• Compositions into powers of b: Asymptotic enumeration and parameters
  
  | categories: math, article, published | 10. June 2016 |
• Automata in SageMath—combinatorics meets theoretical computer science
  
  | categories: math, article, published, sage | 10. May 2016 |

• 2015

• Multi-base representations of integers: Asymptotic enumeration and central limit theorems
  
  | categories: math, article, published | 15. September 2015 |
• Canonical trees, compact prefix-free codes and sums of unit fractions: A probabilistic analysis
  
  | categories: math, article, published | 01. September 2015 |

• 2014

• The number of compositions into powers of b
  
  | categories: math, article, published | 08. November 2014 |
• On the number of multi-base representations of an integer
  
  | categories: math, article, published | 08. November 2014 |

• 2013

• Finite state machines, automata, transducers
  
  | categories: math, article, published, software, sage | 15. December 2013 |
• Sylow p-groups of polynomial permutations on the integers mod pⁿ
  
  | categories: math, article, published | 01. December 2013 |
• Optimality of the width-w non-adjacent form: General characterisation and the case of imaginary quadratic bases
  
  | categories: math, article, published | 01. July 2013 |
• Existence and optimality of w-non-adjacent forms with an algebraic integer base
  
  | categories: math, article, published | 01. July 2013 |
• Analysis of the width-w non-adjacent form in conjunction with hyperelliptic curve cryptography and with lattices
  
  | categories: math, article, published | 17. June 2013 |
• Analysis of width-w non-adjacent forms to imaginary quadratic bases
  
  | categories: math, article, published | 11. January 2013 |
• Analysis of parameters of trees corresponding to Huffman codes and sums of unit fractions
  
  | categories: math, article, published | 06. January 2013 |

• 2012

• On linear combinations of units with bounded coefficients and double-base digit expansions
  
  | categories: math, article, published | 06. October 2012 |