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 Dive into the research topics where Jennie Charlotte Hansen is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Random Mapping
Mathematics

Order Statistics
Mathematics

Poisson-Dirichlet Distribution
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 23 p.Research output: Contribution to journal › Article

Open Access

File

Random Mapping

Preferential Attachment

Degree Sequence

Exact Distribution

Discrete Distributions

## 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

## 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

Order Statistics

Joint Distribution