Professor Carl P Dettmann

A.Mus.A (piano), B.Sc.(Hons.), Ph.D.(Physics)

  • BS8 1UG

1993 …2020

Research output per year

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Personal profile

Research interests

Dynamical systems, statistical physics, wireless networks.

A more complete description of activities may be found at my home page,

PhD projects

I am happy to supervise well motivated students who want to work on the above general areas. Two areas of particular interest are:

Deterministic diffusion A particle moves according to a deterministic law in an unbounded domain, starting from a random initial condition.  How does the displacement depend on time?  A good class of such systems to visualise are mathematical billiards: The particle (“billiard ball”) moves in straight lines except for reflections from obstacles. Different shapes lead to dynamical properties from regular to chaotic and including many finer distinctions. The obstacle locations can be deterministic or random.  Depending on these factors the diffusion can be anything from normal (Brownian motion) to highly anomalous.  See my paper "Diffusion in the Lorentz gas," available from the above website.

Spatial networks What happens if you place points randomly in space, link them with a probability that depends on pairwise distance, and study the resulting network? How does this depend on the shape of the domain, the density of points, generalisations such as angular dependence, obstacles, time-dependent locations? These questions are interesting from both a theoretical and practical point of view.  One of the main applications is the design of wireless ad-hoc networks, of interest to Toshiba research labs in Bristol.  But there are many other kinds of networks with spatial structure that could be considered.  See my paper "Random geometric graphs with general connection functions", available from the above website.

For more ideas, please look at other recent publications available from the above website. They are research articles, hence rather technical; please read only to get the general idea, and then contact me to discuss your interests.

External positions

External examiner (undergraduate applied mathematics), Queen Mary University of London

1 Sep 201631 Dec 2020

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Spatially embedded networks

Dettmann , C. P.


Project: Research

Research Output

Lower bounds and dense discontinuity phenomena for the stabilizability radius of linear switched systems

Dettmann, C. P., Jungers, R. M. & Mason, P., 1 Aug 2020, In : Systems and Control Letters. 142, 6 p., 104737.

Research output: Contribution to journalArticle (Academic Journal)

  • Outage in motorway multi-lane VANETs with hardcore headway distance using synthetic traces

    Koufos, K. & Dettmann, C. P., 4 Mar 2020, (Accepted/In press) In : IEEE Transactions on Mobile Computing. 12 p.

    Research output: Contribution to journalArticle (Academic Journal)

  • 1 Downloads (Pure)

    Rate Statistics in Cellular Downlink: A Per-User Analysis of Rateless Coded Transmission.

    Rajanna, A. & Dettmann, C. P., 16 Mar 2020, In : IEEE Communications Letters. 24, 6, p. 1221 - 1225 5 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 1 Downloads (Pure)

    Supervised Work

    Connectivity and Mobility in Wireless Networks

    Author: Pratt, P., 25 Jun 2019

    Supervisor: Dettmann, C. (Supervisor), Chin, W. H. (External person) (Supervisor) & Georgiou, O. (External person) (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)