Category: math
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 

Optimal multipivot quicksort and its asymptotic analysis

categories:
math,
talk

17. September 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 

Distribution and moments of the optimal multipivotquicksort

categories:
math,
talk

25. June 2019 

Asymptotic analysis of optimal multipivot quicksort

categories:
math,
talk

24. May 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 

Research in the spirit of analytic combinatorics explained on the example “Quicksort algorithm”

categories:
math,
talk

25. 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 

MacMahon's Omega calculus for the analysis of optimal multipivot quicksort

categories:
math,
talk

30. July 2018 

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

categories:
math,
article,
accepted

23. July 2018 

Wieviele Farben werden benötigt um eine Landkarte zu färben?

categories:
math,
talk

02. July 2018 

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

categories:
math,
talk

28. June 2018 

Asymptotic expansions in SageMath

categories:
math,
talk

27. June 2018 

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

categories:
math,
article,
published

25. June 2018 

Multibase representations and their minimal Hamming weight

categories:
math,
talk

24. May 2018 

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

categories:
math,
article,
accepted

09. April 2018 

Complex analysis

categories:
teaching,
course,
math,
lecture,
exercises

01. March 2018 

Bachelorseminar

categories:
teaching,
course,
math,
seminar

01. March 2018 

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

categories:
math,
article,
submitted

09. February 2018 

Die Eulersche Polyederformel

categories:
math,
talk

08. February 2018 
2017

Internship technical mathematics

categories:
teaching,
course,
math,
seminar

01. October 2017 

Scientific texts with LaTeX and version control with Git for technical sciences

categories:
teaching,
course,
math,
lecture,
exercises

01. October 2017 

Computer mathematics

categories:
teaching,
course,
math,
lecture,
exercises

01. October 2017 

Algebraic structures

categories:
teaching,
course,
math,
lecture,
exercises

01. October 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 

Fluctuations in the asymptotic behavior of partial sums of kregular sequences

categories:
math,
talk

27. June 2017 

Precise analysis of the optimal multipivot quicksort

categories:
math,
talk

19. June 2017 

kregular sequences & mellin–perron summation for analyzing fluctuations in pascal's rhombus

categories:
math,
talk

05. June 2017 

Analytic combinatorics

categories:
math,
talk

10. May 2017 

Linear algebra and discrete mathematics

categories:
teaching,
course,
math,
lecture,
exercises

01. March 2017 

Bachelorseminar

categories:
teaching,
course,
math,
seminar

01. March 2017 

The precise analysis of optimal dualpivot quicksort and quickselect

categories:
math,
talk

16. February 2017 

An extended note on the comparisonoptimal dualpivot quickselect

categories:
math,
talk

16. January 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 

Redundancy of multibase representations of integers

categories:
math,
talk

20. 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 

Computer mathematics

categories:
teaching,
course,
math,
lecture,
exercises

01. October 2016 

(non)minimal redundant digit expansions with an imaginary quadratic integer base

categories:
math,
talk

06. September 2016 

The continuum Pólyalike random walk

categories:
math,
article,
submitted

03. August 2016 

Where are the odd entries in pascal's rhombus?

categories:
math,
talk

01. 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 

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

categories:
math,
talk

04. July 2016 

Asymptotic expansions in SageMath

categories:
math,
poster

04. July 2016 

Compositions into powers of b: Asymptotic enumeration and parameters

categories:
math,
article,
published

10. June 2016 

From redundant digit expansions via continued fractions to (non)minimal expansions

categories:
math,
talk

23. May 2016 

Development for SageMath

categories:
math,
talk,
sage

22. May 2016 

Multiplying apples and oranges by SageMath's coercion framework

categories:
math,
talk,
sage

21. May 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 

Combinatorial structures

categories:
teaching,
course,
math,
lecture,
exercises

01. March 2016 

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

categories:
math,
article,
submitted

12. February 2016 

(Fast) alles ist möglich.—Doch: Wie viele Möglichkeiten habe ich?

categories:
math,
talk

04. February 2016 

Automata in SageMath—combinatorics meets theoretical computer science

categories:
math,
article,
submitted,
sage

13. January 2016 
2015

A journey on a lattice path: from quicksort to hypergeometric sums and back

categories:
math,
talk

25. November 2015 

A story about lattice paths & zeros and their relation to quicksort

categories:
math,
talk

03. November 2015 

Asymptotic expansions in SageMath

categories:
math,
article,
accepted,
software,
sage

28. October 2015 

Combinatorics

categories:
teaching,
course,
math,
lecture,
exercises

01. October 2015 

Computer mathematics

categories:
teaching,
course,
math,
lecture,
exercises

01. 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 

Properties of τadic digit expansions for fast scalar multiplication

categories:
math,
talk

09. July 2015 

Analysis of parameters of multibase representations of an integer

categories:
math,
talk

12. June 2015 

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

categories:
math,
article,
accepted

08. June 2015 

Asymptotic properties of multibase digit expansions of integers

categories:
math,
talk

18. May 2015 

SageMath and GSoC 2015: (Multivariate) Asymptotic Expressions

categories:
sage,
math,
project

27. April 2015 

Various properties of redundant digit expansions: Multibase representations of an integer

categories:
math,
talk

22. April 2015 

Multiplying apples and oranges: Transparent arithmetic with different data types in SageMath—an introduction to SageMath's coercion framework

categories:
math,
talk,
sage

15. April 2015 

Contributing to SageMath: git and trac

categories:
math,
talk,
sage

14. April 2015 

Automata and transducers in SageMath

categories:
math,
talk,
sage

01. April 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 

Redundant digit expansions ... and more

categories:
math,
talk

28. January 2015 

[link] Doctoral Program Discrete Mathematics continues

categories:
link,
math,
project

02. January 2015 
2014

Partitions and compositions into powers of b

categories:
math,
talk

01. December 2014 

Some open problems concerning digit expansions and polynomial functions

categories:
math,
talk

12. November 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 

Digit expansions with applications in cryptograpy

categories:
math,
poster

03. November 2014 

Compositions into powers of b: Asymptotic enumeration and parameters

categories:
math,
article,
submitted

15. October 2014 

The number of multibase representations of an integer

categories:
math,
talk

18. August 2014 

When is nonadjacent form not a minimal digit expansion?

categories:
math,
talk

10. July 2014 

Digit expansions with applications in cryptograpy

categories:
math,
poster

10. July 2014 

The number of compositions into powers of b

categories:
math,
talk

17. June 2014 

Partitions and compositions into powers of b

categories:
math,
talk

19. May 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 

Symbolic computation

categories:
teaching,
course,
math,
lecture,
exercises

01. March 2014 

Mathematics II, M

categories:
teaching,
course,
math,
exercises

01. March 2014 

Finite fields and coding theory

categories:
teaching,
course,
math,
exercises

01. March 2014 

Bachelor thesis TM (optimization and discrete mathematics)

categories:
teaching,
course,
math,
seminar

01. March 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 

Mathematics I, M

categories:
teaching,
course,
math,
exercises

01. October 2013 

Mathematical foundations of cryptography

categories:
teaching,
course,
math,
lecture,
exercises

01. October 2013 

Computer mathematics

categories:
teaching,
course,
math,
exercises

01. October 2013 

The width of “canonical” trees and of acyclic digraphs

categories:
math,
talk

26. September 2013 

Optimal and nonoptimal digit expansions in cryptography

categories:
math,
talk

11. September 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 

The width of “canonical” trees and of acyclic digraphs

categories:
math,
talk

11. June 2013 

Eigenschaften der Gruppe der Polynompermutationen modulo p^{n}

categories:
math,
talk

15. May 2013 

The group of polynomial permutations modulo p^{n}

categories:
math,
talk

09. April 2013 

The group of polynomial permutations modulo p^{n}

categories:
math,
talk

22. March 2013 

Symbolic computation

categories:
teaching,
course,
math,
exercises

01. March 2013 

Geometry processing

categories:
teaching,
course,
math,
exercises

01. March 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,
talk

25. January 2013 

Digit expansions with applications in cryptography

categories:
math,
article,
thesis

25. January 2013 

[link] Asymptotic Analysis of Extremal Discrete Structures

categories:
link,
math,
project

15. 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,
talk

06. January 2013 

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

categories:
math,
article,
published

06. January 2013 
2012

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

categories:
math,
talk

21. December 2012 

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

categories:
math,
article,
accepted

17. December 2012 

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

categories:
math,
talk

01. November 2012 

Existence and optimality of wnonadjacent forms with an algebraic integer base

categories:
math,
article,
accepted

31. October 2012 

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

categories:
math,
talk

19. October 2012 

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

categories:
math,
article,
published

06. October 2012 

Digital expansions in conjunction with hyperelliptic curve cryptography

categories:
math,
poster

02. October 2012 

Computer mathematics

categories:
teaching,
course,
math,
exercises

01. 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 

Nonadjacent forms: Optimality and analysis

categories:
math,
talk

03. July 2012 

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

categories:
math,
talk

07. June 2012 

Counting digits in nonadjacent forms in conjunction with hyperelliptic curve cryptography

categories:
math,
talk

01. June 2012 

Analysis of nonadjacent forms in lattices

categories:
math,
talk

25. May 2012 

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

categories:
math,
article,
submitted

22. May 2012 

Sage and GSoC 2012: Lattices

categories:
sage,
math,
project

30. April 2012 

Symbolic computation

categories:
teaching,
course,
math,
exercises

01. March 2012 

Computer mathematics 2

categories:
teaching,
course,
math,
lecture,
exercises

01. March 2012 

Nonadjacent forms and their playground

categories:
math,
talk

29. February 2012 
2011

An optimal choice of a numeral system used in elliptic curve cryptography

categories:
math,
talk

16. December 2011 

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

categories:
math,
article,
submitted

11. October 2011 

Computer mathematics 1

categories:
teaching,
course,
math,
lecture,
exercises

01. October 2011 

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

categories:
math,
article,
submitted

22. July 2011 

Analysis and optimality of the widthw nonadjacent form to imaginary quadratic bases

categories:
math,
talk

01. July 2011 

Analysis and optimality of the widthw nonadjacent form to imaginary quadratic bases

categories:
math,
talk

07. June 2011 

Existence and optimality of wnonadjacent forms with an algebraic integer base

categories:
math,
article,
submitted

20. May 2011 

Nonadjacent forms and their playground

categories:
math,
talk

18. March 2011 

Introduction to algebra

categories:
teaching,
course,
math,
exercises

01. March 2011 

Discrete stochastics and information theory

categories:
teaching,
course,
math,
exercises

01. March 2011 

Optimality of the widthw nonadjacent form in conjunction with Koblitz curves in characteristic three

categories:
math,
talk

17. January 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 

Analysis of digital expansions in conjunction with Koblitz curves in characteristic three

categories:
math,
poster

29. June 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 