Category: math»article
2020

Distribution of the optimal multipivot quicksort algorithm including explicit results for three and four pivot elements

categories:
math,
article,
submitted

11. January 2020 
2019

Towards a computational proof of Vizing's conjecture using semidefinite programming and sumsofsquares

categories:
math,
article,
submitted

16. December 2019 

Asymptotic analysis of regular sequences

categories:
math,
article,
published

25. October 2019 

Asymptotic analysis of regular sequences

categories:
math,
article,
accepted

07. September 2019 

On the minimal Hamming weight of a multibase representation

categories:
math,
article,
accepted

20. August 2019 

An optimizationbased sumofsquares approach to Vizing's conjecture

categories:
math,
article,
published

15. July 2019 

Dualpivot quicksort: Optimality, analysis and zeros of associated lattice paths

categories:
math,
article,
published

01. July 2019 

An optimizationbased sumofsquares approach to Vizing's conjecture

categories:
math,
article,
accepted

02. April 2019 

Algorithmic counting of nonequivalent compact Huffman codes

categories:
math,
article,
submitted

31. January 2019 

An optimizationbased sumofsquares approach to Vizing's conjecture

categories:
math,
article,
submitted

27. January 2019 

Analytic combinatorics for the mathematical analysis of algorithms

categories:
math,
article,
thesis

25. January 2019 

Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences

categories:
math,
article,
published

06. January 2019 
2018

Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences

categories:
math,
article,
accepted

01. October 2018 

Asymptotic analysis of regular sequences

categories:
math,
article,
submitted

15. September 2018 

On the minimal Hamming weight of a multibase representation

categories:
math,
article,
submitted

20. August 2018 

Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences

categories:
math,
article,
submitted

02. August 2018 

Dualpivot quicksort: Optimality, analysis and zeros of associated lattice paths

categories:
math,
article,
accepted

23. July 2018 

Analysis of summatory functions of regular sequences: Transducer and Pascal's rhombus

categories:
math,
article,
published

25. June 2018 

Analysis of summatory functions of regular sequences: Transducer and Pascal's rhombus

categories:
math,
article,
accepted

09. April 2018 

Analysis of summatory functions of regular sequences: Transducer and Pascal's rhombus

categories:
math,
article,
submitted

09. February 2018 
2017

Nonminimality of the widthw nonadjacent form in conjunction with trace one τadic digit expansions and Koblitz curves in characteristic two

categories:
math,
article,
published

15. August 2017 

An extended note on the comparisonoptimal dualpivot quickselect

categories:
math,
article,
published

16. January 2017 
2016

Dualpivot quicksort: Optimality, analysis and zeros of associated lattice paths

categories:
math,
article,
submitted

31. October 2016 

Nonminimality of the widthw nonadjacent form in conjunction with trace one τadic digit expansions and Koblitz curves in characteristic two

categories:
math,
article,
accepted

17. October 2016 

An extended note on the comparisonoptimal dualpivot quickselect

categories:
math,
article,
accepted

04. October 2016 

The continuum Pólyalike random walk

categories:
math,
article,
submitted

03. August 2016 

An extended note on the comparisonoptimal dualpivot quickselect

categories:
math,
article,
submitted

18. July 2016 

Counting zeros in random walks on the integers and analysis of optimal dualpivot 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 

Automata in SageMath—combinatorics meets theoretical computer science

categories:
math,
article,
accepted,
sage

02. May 2016 

Counting zeros in random walks on the integers and analysis of optimal dualpivot quicksort

categories:
math,
article,
accepted

22. April 2016 

Nonminimality of the widthw nonadjacent form in conjunction with trace one τadic digit expansions and Koblitz curves in characteristic two

categories:
math,
article,
submitted

05. April 2016 

Counting zeros in random walks on the integers and analysis of optimal dualpivot quicksort

categories:
math,
article,
submitted

12. February 2016 

Automata in SageMath—combinatorics meets theoretical computer science

categories:
math,
article,
submitted,
sage

13. January 2016 
2015

Asymptotic expansions in SageMath

categories:
math,
article,
accepted,
software,
sage

28. October 2015 

Multibase representations of integers: Asymptotic enumeration and central limit theorems

categories:
math,
article,
published

15. September 2015 

Canonical trees, compact prefixfree codes and sums of unit fractions: A probabilistic analysis

categories:
math,
article,
published

01. September 2015 

Compositions into powers of b: Asymptotic enumeration and parameters

categories:
math,
article,
accepted

27. August 2015 

Multibase representations of integers: Asymptotic enumeration and central limit theorems

categories:
math,
article,
accepted

11. August 2015 

Canonical trees, compact prefixfree codes and sums of unit fractions: A probabilistic analysis

categories:
math,
article,
accepted

08. June 2015 

Canonical trees, compact prefixfree codes and sums of unit fractions: A probabilistic analysis

categories:
math,
article,
submitted

30. March 2015 

Multibase representations of integers: Asymptotic enumeration and central limit theorems

categories:
math,
article,
submitted

29. March 2015 
2014

The number of compositions into powers of b

categories:
math,
article,
published

08. November 2014 

On the number of multibase representations of an integer

categories:
math,
article,
published

08. November 2014 

Compositions into powers of b: Asymptotic enumeration and parameters

categories:
math,
article,
submitted

15. October 2014 

Automata and transducers in the computer algebra system Sage

categories:
math,
article,
submitted,
sage

29. April 2014 

The number of compositions into powers of b

categories:
math,
article,
accepted

02. April 2014 

On the number of multibase representations of an integer

categories:
math,
article,
accepted

02. April 2014 

The number of compositions into powers of b

categories:
math,
article,
submitted

02. February 2014 

On the number of multibase representations of an integer

categories:
math,
article,
submitted

02. February 2014 
2013

Finite state machines, automata, transducers

categories:
math,
article,
published,
software,
sage

15. December 2013 

Sylow pgroups of polynomial permutations on the integers mod p^{n}

categories:
math,
article,
published

01. December 2013 

Finite state machines, automata, transducers

categories:
math,
article,
accepted,
software,
sage

25. November 2013 

Finite state machines, automata, transducers

categories:
math,
article,
submitted,
software,
sage

22. August 2013 

Sylow pgroups of polynomial permutations on the integers mod p^{n}

categories:
math,
article,
accepted

29. July 2013 

Optimality of the widthw nonadjacent form: General characterisation and the case of imaginary quadratic bases

categories:
math,
article,
published

01. July 2013 

Existence and optimality of wnonadjacent forms with an algebraic integer base

categories:
math,
article,
published

01. July 2013 

Analysis of the widthw nonadjacent form in conjunction with hyperelliptic curve cryptography and with lattices

categories:
math,
article,
published

17. June 2013 

Analysis of the widthw nonadjacent form in conjunction with hyperelliptic curve cryptography and with lattices

categories:
math,
article,
accepted

04. February 2013 

Digit expansions with applications in cryptography

categories:
math,
article,
thesis

25. January 2013 

Analysis of widthw nonadjacent 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

Optimality of the widthw nonadjacent form: General characterisation and the case of imaginary quadratic bases

categories:
math,
article,
accepted

17. December 2012 

Existence and optimality of wnonadjacent forms with an algebraic integer base

categories:
math,
article,
accepted

31. October 2012 

On linear combinations of units with bounded coefficients and doublebase digit expansions

categories:
math,
article,
published

06. October 2012 

Analysis of widthw nonadjacent forms to imaginary quadratic bases

categories:
math,
article,
accepted

25. September 2012 

On linear combinations of units with bounded coefficients and doublebase digit expansions

categories:
math,
article,
accepted

24. September 2012 

Analysis of parameters of trees corresponding to Huffman codes and sums of unit fractions

categories:
math,
article,
accepted

13. September 2012 

Analysis of the widthw nonadjacent form in conjunction with hyperelliptic curve cryptography and with lattices

categories:
math,
article,
submitted

04. September 2012 

Analysis of parameters of trees corresponding to Huffman codes and sums of unit fractions

categories:
math,
article,
submitted

15. August 2012 

On linear combinations of units with bounded coefficients and doublebase digit expansions

categories:
math,
article,
submitted

22. May 2012 
2011

Optimality of the widthw nonadjacent form: General characterisation and the case of imaginary quadratic bases

categories:
math,
article,
submitted

11. October 2011 

Sylow pgroups of polynomial permutations on the integers mod p^{n}

categories:
math,
article,
submitted

22. July 2011 

Existence and optimality of wnonadjacent forms with an algebraic integer base

categories:
math,
article,
submitted

20. May 2011 
2010

Analysis of digital expansions to imaginary quadratic bases

categories:
math,
article,
thesis

11. November 2010 

Analysis of widthw nonadjacent forms to imaginary quadratic bases

categories:
math,
article,
submitted

22. August 2010 
2009

Analytic solutions for the forward problem in electrical impedance tomography on a cylinder

categories:
math,
article,
thesis

28. September 2009 
2008

Polynomfunktionen und Polynompermutationen auf Z/p^{n}Z

categories:
math,
article,
thesis

10. September 2008 