Robert Patterson

I am a permanent member of the research group on interacting random systems at the Weierstrass Institute in Berlin.

My contact details are on my official web page.

Robert Patterson pictured while hiking

Research Activities

I studied maths and stochastic processes in Cambridge, before moving to the Chemical Engineering Department where I gained a PhD with work on stochastic particle simulations of soot formation. I then went to work developing stochastic simulation software in the commercial sector for a couple of years before returning to academic research.

My current research interests are:

List of Publications

Spontaneous trail formation in populations of auto-chemotactic walkers,
Zahra Mokhtari, Robert I. A. Patterson, and Felix Höfling, New Journal of Physics, 24, 013012, (2022).

A large-deviations principle for all the cluster sizes of a sparse Erdo ̋s–Rényi graph,
Luisa Andreis, Wolfgang König, and Robert I. A. Patterson, Random Structures and Algorithms, 59, 522-553, (2021).

Large Deviations of Jump Process Fluxes,
Robert I. A. Patterson, and D. R. Michiel Renger, Mathematical Physics, Analysis and Geometry, 22, 21, (2019).

Analysing the effect of screw configuration using a stochastic twin-screw granulation model,
Andrew D. McGuire, Sebastian Mosbach, Gavin Reynolds, Robert I. A. Patterson, Eric J. Bringley, Nick A. Eaves, Jochen Dreyer, and Markus Kraft, Chemical Engineering Science, 203, 358-379, (2019).

Stochastic-deterministic population balance modeling and simulation of a fluidized bed crystallizer experiment,
Clemens Bartsch, Viktoria Wiedmeyer, Zahra Lakdawala, Robert I. A. Patterson, Andreas Voigt, Kai Sundmacher, and Volker John, Chemical Engineering Science, 208, 115102, (2019).

Simulations of an ASA flow crystallizer with a coupled stochastic-deterministic approach,
Clemens Bartsch, Robert I. A. Patterson, and Volker John, Computers in Chemical Engineering, 124, 350-363, (2019).

Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space,
Martin Heida, Robert I. A. Patterson, and D. R. Michiel Renger, Journal of Evolution Equations, 19, 111-152, (2019).

Space-time large deviations in capacity-constrained relay networks,
Christian Hirsch, Benedikt Jahnel, and Robert I. A. Patterson, ALEA Latin American Journal of Probability and Mathematical Statistics, 15, 587-615, (2018).

Large deviations in relay-augmented wireless networks,
Christian Hirsch, Benedikt Jahnel, Paul Keeler, and Robert I. A. Patterson, Queueing Systems, 88, 349-387, (2018).

Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics,
Alexander Mielke, Robert I. A. Patterson, Mark A. Peletier, and D. R. Michiel Renger, SIAM Journal on Applied Mathematics, 77, 1562-1585, (2017).

Traffic flow densities in large transport networks,
Christian Hirsch, Benedikt Jahnel, Paul Keeler, and Robert I. A. Patterson, Advances in Applied Probability, 49, 1091-1115, (2017).

A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases,
Robert I. A. Patterson, Sergio Simonella, and Wolfgang Wagner, Journal of Statistical Physics, 169, 126-167, (2017).

Large-deviation principles for connectable receivers in wireless networks,
Christian Hirsch, Benedikt Jahnel, Paul Keeler, and Robert I. A. Patterson, Advances in Applied Probability, 48, 1061-1094, (2016).

Kinetic theory of cluster dynamics,
Robert I. A. Patterson, Sergio Simonella, and Wolfgang Wagner, Physica D, 335, 26-32, (2016).

Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries,
Robert I. A. Patterson Journal of Evolution Equations, 16, 261-291, (2016).

Numerical simulation and parametric sensitivity study of optical band gap in a laminar co-flow ethylene diffusion flame,
Edward K. Y. Yapp, Robert I. A. Patterson, Jethro Akroyd, Sebastian Mosbach, Erin M. Adkins, J. Houston Miller, and Markus Kraft, Combustion and Flame, 167, 320-334, (2016).

Stochastic weighted particle methods for population balance equations with coagulation, fragmentation and spatial inhomogeneity,
Kok Foong Lee, and Robert I. A. Patterson, and Wolfgang Wagner, and Markus Kraft, Journal of Computational Physics, 303, 1-18, (2015).

Cell size error in stochastic particle methods for coagulation equations with advection,
Robert I. A. Patterson, and Wolfgang Wagner, SIAM Journal on Numerical Analysis, 52, 424-442, (2014).

Convergence of stochastic particle systems undergoing advection and coagulation,
Robert I. A. Patterson, Stochastic Analysis and Applications, 31, 800-829, (2013).

Application of stochastic weighted algorithms to a multidimensional silica particle model,
William J. Menz, Robert I. A. Patterson, Wolfgang Wagner, and Markus Kraft, Journal of Computational Physics, 248, 221-234, (2013).

A stochastic weighted particle method for coagulation–advection problems,
Robert I. A. Patterson, and Wolfgang Wagner, SIAM Journal on Scientific Computing, 34, B290-B311, (2012)

Developing the PAH-PP soot particle model using process informatics and uncertainty propagation,
Markus Sander, Robert I. A. Patterson, Andreas Braumann, Abhijeet Raj, and Markus Kraft, Proceedings of the Combustion Institute, 33, 675-683, (2011)

Stochastic weighted particle methods for population balance equations,
Robert I. A. Patterson, Wolfgang Wagner, and Markus Kraft, Journal of Computational Physics, 230, 7456-7472, (2011)

Comment on “Low Fractal Dimension Cluster-Dilute Soot Aggregates from a Premixed Flame”,
Markus Sander, Robert I. A. Patterson, Abhijeet Raj, and Markus Kraft, Physical Review Letters , 104, 119601, (2010)

A predictor–corrector algorithm for the coupling of stiff ODEs to a particle population balance,
Matthew S. Celnik, Robert I. A. Patterson, Markus Kraf21007t, and Wolfgang Wagner, Journal of Computational Physics, 228, 2758-2769, (2009)

A statistical approach to develop a detailed soot growth model using PAH characteristics,
Abhijeet Raj, Matthew S. Celnik, Raphael Shirley, Markus Sander, Robert I. A. Patterson, Richard H. West, and Markus Kraft, Combustion and Flame, 156, 896-913, (2009)

Aromatic site description of soot particles,
Matthew S. Celnik, Abhijeet Raj, Richard H. West, Robert I. A. Patterson, and Markus Kraft, Combustion and Flame, 155, 161-180, (2008)

Modes of neck growth in nanoparticle aggregates,
Neal M. Morgan, Robert I. A. Patterson, and Markus Kraft, Combustion and Flame, 152, 272-275, (2008)

Coupling a stochastic soot population balance to gas-phase chemistry using operator splitting,
Matthew S. Celnik, Robert I. A. Patterson, Markus Kraft, and Wolfgang Wagner, Combustion and Flame, 148, 158-176, (2007)

Models for the aggregate structure of soot particles,
Robert I. A. Patterson, and Markus Kraft, Combustion and Flame, 151, 160-172, (2007)

Extending stochastic soot simulation to higher pressures,
Robert I. A. Patterson, Jasdeep Singh, Michael Balthasar, Markus Kraft, and Wolfgang Wagner, Combustion and Flame, 145, 638-642, (2006)

Numerical simulation and sensitivity analysis of detailed soot particle size distribution in laminar premixed ethylene flames,
Jasdeep Singh, Robert I. A. Patterson, Markus Kraft, and Hai Wang, Combustion and Flame, 145, 117-127, (2006)

The Linear Process Deferment Algorithm: A new technique for solving population balance equations,
Robert I. A. Patterson, Jasdeep Singh, Michael Balthasar, Markus Kraft, and J. R. Norris, SIAM Journal on Scientific Computing, 28, 303-320, (2006)

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