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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

  • 24 Article
  • 1 Conference contribution
  • 1 Chapter (peer-reviewed)
  • 1 Paper

Structural transition in random mappings

Hansen, J. C. & Jaworski, J., 24 Jan 2014, In : Electronic Journal of Combinatorics. 21, 1

Research output: Contribution to journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

Random mappings with Ewens cycle structure

Hansen, J. C., 2013, In : Ars Combinatoria. 112, p. 307 322 p.

Research output: Contribution to journalArticle

Open Access
File
Random Mapping
Cycle
Ewens Sampling Formula
Order Statistics
Joint Distribution