| I am a graduate student at the Lorentz Institute at Leiden University, in the Soft Condensed Matter Theory Group of Dr. Vincenzo Vitelli. |
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Current research
 
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The stochastic geometry of non-Gaussian fieldsNear-Gaussian fields arise in various areas of physics, often as a result of the central limit theorem. A Gaussian field may be regarded as the sum of an infinite number of plane waves, each with its own independent random phase. More often than not, it is the non-Gaussian features of a physical field which is of interest. In collaboration with Ari Turner and Vincenzo Vitelli, I am studying what the effects of non-Gaussianity are on the stochastic properties of the field, in particular (the imbalance between) the density of maxima and minima, as well as the (relative) densities of umbilic points, which are topological defects of the principal curvature. As a result, we can track the non-Gaussianities of a given near-Gaussian field, simply by looking at its geometry. |
Fracture in rigid and floppy networksWhen a two-dimensional network is pulled apart, bonds start to break. For a rigid network, typically, each next bond to break is close to one that broke previously. This results in a crack with a small width, where the width is measured in the direction of pulling. However, when the network is close to isostaticity (average coordination number 4), different behavior is seen: bonds break all over the place, each location being uncorrelated to the previous ones. Eventually, regions of broken bonds coalesce into a crack with a width that scales with the system size. Together with Bryan Chen and Vincenzo Vitelli in Leiden, as well as Michelle Driscoll and Sidney Nagel in Chicago, I am studying the relation between the network's rigidity and the width of the crack. |
 
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Publications
T.H. Beuman, A.M. Turner, V. Vitelli (2012)
Stochastic geometry and topology of non-Gaussian fields
PNAS 109 (49): 19943-19948 (arXiv)
T.H. Beuman, A.M. Turner, V. Vitelli (2013)
Extrema statistics in the dynamics of a non-Gaussian random field
Phys. Rev. E 87: 022142 (arXiv)
T.H. Beuman, A.M. Turner, V. Vitelli (2013)
Critical and umbilical points of a non-Gaussian random field
Phys. Rev. E 88: 012115 (arXiv part 1 & part 2)
T.H. Beuman, A.M. Turner, V. Vitelli (2014)
Geometrical detection of weak non-Gaussianity upon coarse-graining
J. Stat. Phys. 157 (3): 571-581 (arXiv)
M.M. Driscoll, B.G. Chen, T.H. Beuman, S. Ulrich, S.R. Nagel, V. Vitelli (2015)
Tunable failure in marginally rigid matter
arXiv
Other interests
ProgrammingAs an undergraduate I participated in programming contests. Together with Johan de Ruiter and Misha Stassen I've won the Benelux Algorithm Programming Contest (BAPC; for student teams from Belgium, The Netherlands and Luxembourg) in 2007 and 2008. I also participated in the North West European Regional Contest (NWERC) five times (two third places). In 2011 I advanced to the ICPC World Finals with Alexey Gritsenko and Eric Stansifer. We won the ICPC Challenge, as our AI player proved to be the best at a game called Coercion (see picture and video).I was a judge (problem setter) at BAPC from 2011 to 2014, and also at NWERC in 2011 and 2014. |
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Contact details
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T.H. Beuman (MSc) Oort Building, room 272 ++31 (0)71 527 5515 beuman@lorentz.leidenuniv.nl |
Lorentz Institute P.O. Box 9506 NL-2300 RA Leiden The Netherlands |
