Research Output per year

## Personal profile

### Research interests

My principal research area is probability theory and its applications in combinatorics and computer science. In particular, I am interested in random combinatorial structures, random combinatorial optimisation problems, and the probabilistic analysis of algorithms.
Recently, I have been working with Jerzy Jaworski (Adam Mickiewcz University, Poznan) on the development of a calculus for the distributions of various graphical properties of the directed graphs that represent random mappings with exchangeable in-degrees. Using this calculus, we can investigate, for example, epidemic thresholds on such graphs. This work was supported by Marie Curie Intra-European Fellowships under Framework 6 and 7.
I have also worked on problems in
random geometry
the analysis of algorithms for random combinatorial optimization problems
graph colouring algorithms
the stability of processor sharing networks

### Biography

I was an undergraduate at Carleton College (Minneosta), where I graduated Magna Cum Laude with Distinction in Mathematics. I then studied at Warwick University as a Marshall Scholar where I completed an M.Sc. in Pure Mathematics. I returned to the US and completed a PhD in probability theory at the University of Minnesota under Bert Fristedt’s supervision. Since completing my PhD, I have worked at Tufts University, Northeastern University, and Heriot-Watt (since 1992).
I have collaborated on a number of research papers with Eric Schmutz (Drexel) and Jerzy Jaworski (Poznan). Thanks to my collaborator Eric Schmutz, my Erdos number is 2.

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Random Mapping
Mathematics

Digraph
Mathematics

Asymptotic distribution
Mathematics

Order Statistics
Mathematics

Preferential Attachment
Mathematics

## Research Output 1985 2014

## Structural transition in random mappings

Hansen, J. C. & Jaworski, J., 24 Jan 2014, In : Electronic Journal of Combinatorics. 21, 1Research output: Contribution to journal › Article

Random Mapping

Number of Components

Asymptotic distribution

Restriction

Random Permutation

## Structural transtition in random mappings

Hansen, J. C. & Jaworski, J., 2014, In : Electronic Journal of Combinatorics. 21, 1, 18 p.Research output: Contribution to journal › Article

## Predecessors and successors in random mappings with exchangeable in-degrees

Hansen, J. C. & Jaworski, J., Sep 2013, In : Journal of Applied Probability. 50, 3, p. 721-740 20 p.Research output: Contribution to journal › Article

## Predecessors and successors in random mappings with exchangeable in-degrees

Hansen, J. C. & Jaworski, J., Sep 2013, In : Journal of Applied Probability. 50, 3, p. 721-740 23 p.Research output: Contribution to journal › Article

Open Access

File

Random Mapping

Preferential Attachment

Degree Sequence

Exact Distribution

Discrete Distributions

## Random mappings with Ewens cycle structure

Hansen, J. C., 2013, In : Ars Combinatoria. 112, p. 307 322 p.Research output: Contribution to journal › Article

Open Access

File

Random Mapping

Cycle

Ewens Sampling Formula

Random Permutation

Random Forest