Research Output 1994 2019

2018
21 Downloads (Pure)

Geometry of uniform spanning forest components in high dimensions

Barlow, M. T. & Jarai, A., 10 Aug 2018, In : Canadian Journal of Mathematics. 29 p.

Research output: Contribution to journalArticle

Open Access
File
Spanning Forest
Higher Dimensions
Ball
Metric
8 Downloads (Pure)

Local neighbourhoods for first-passage percolation on the configuration model

Dereich, S. & Ortgiese, M., 19 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 485–501 17 p.

Research output: Contribution to journalArticle

Open Access
File
First-passage Percolation
apexes
Configuration
configurations
Passage Time
37 Downloads (Pure)

Martingale optimal transport with stopping

Bayraktar, E., Cox, A. M. G. & Stoev, Y., 2018, In : SIAM Journal on Control and Optimization. 56, 1, p. 417-433 17 p.

Research output: Contribution to journalArticle

Open Access
File
Optimal Transport
Martingale
Cost functions
Cost Function
HJB Equation
14 Downloads (Pure)

Mixing time bounds via bottleneck sequences

Addario-Berry, L. & Roberts, M., 1 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 845-871 27 p.

Research output: Contribution to journalArticle

Open Access
File
Mixing Time
Markov chains
Total Variation
Isometric
Isometry
2 Citations (Scopus)

Modern Monte Carlo variants for uncertainty quantification in neutron transport

Graham, I. G., Parkinson, M. J. & Scheichl, R., 23 May 2018, Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Springer International Publishing, p. 455-481 27 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)
15 Downloads (Pure)

Multilevel Monte Carlo and Improved Timestepping Methods in Atmospheric Dispersion Modelling

Katsiolides, G., Müller, E. H., Scheichl, R., Shardlow, T., Giles, M. B. & Thomson, D. J., 1 Feb 2018, In : Journal of Computational Physics. 354, p. 320-343 24 p.

Research output: Contribution to journalArticle

Open Access
File
Numerical methods
Ashes
Monte Carlo method
Differential equations
Monte Carlo methods
2 Citations (Scopus)
24 Downloads (Pure)

Multiple drawing multi-colour urns by stochastic approximation

Lasmar, N., Mailler, C. & Selmi, O., 1 Mar 2018, In : Journal of Applied Probability. 55, 1, p. 254-281 28 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Approximation
Replacement
Ball
Affine transformation
Second-order Asymptotics
10 Downloads (Pure)

Near critical preferential attachment networks have small giant components

Eckhoff, M., Morters, P. & Ortgiese, M., 1 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 663-703 41 p.

Research output: Contribution to journalArticle

Open Access
Giant Component
Preferential Attachment
attachment
Decay
proportion
1 Citation (Scopus)
6 Downloads (Pure)

Noise-driven bias in the non-local voter model

Minors, K., Rogers, T. & Yates, C., 30 May 2018, In : EPL (Europhysics Letters). 122, 1, p. 1-8 8 p., 10004.

Research output: Contribution to journalArticle

Open Access
File
predictions
1 Citation (Scopus)

Non-triviality of the vacancy phase transition for the Boolean model

Penrose, M., 31 Jul 2018, In : Electronic Communications in Probability. 23, 49, p. 1-8 8 p., 49.

Research output: Contribution to journalArticle

Open Access
Boolean Model
D-space
Vacancy
Poisson Model
Strictly positive
16 Downloads (Pure)

On the critical threshold for continuum AB percolation

Dereudre, D. & Penrose, M., 1 Dec 2018, In : Journal of Applied Probability. p. 1228-1237

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
23 Downloads (Pure)

Optimal-transport-based mesh adaptivity on the plane and sphere using finite elements

McRae, A. T. T., Cotter, C. J. & Budd, C. J., 24 Apr 2018, In : SIAM Journal on Scientific Computing. 40, 2, p. A1121-A1148

Research output: Contribution to journalArticle

Open Access
File
Mesh Adaptivity
Optimal Transport
Mesh
Finite Element
Mesh generation

Percolation of lipschitz surface and tight bounds on the spread of information among mobile agents

Gracar, P. & Stauffer, A., 1 Aug 2018, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques - 21st International Workshop, APPROX 2018, and 22nd International Workshop, RANDOM 2018. Leibniz, Germany: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 39. (Leibniz International Proceedings in Informatics; vol. 116).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
Mobile agents
1 Citation (Scopus)
26 Downloads (Pure)

Sandpile models

Jarai, A. A., 24 Sep 2018, In : Probability Surveys. 15, 0, p. 243-306 64 p.

Research output: Contribution to journalArticle

Open Access
File
Sandpile Model
Sandpiles
A.s. Convergence
Infinite Graphs
Stabilizability
1 Citation (Scopus)
18 Downloads (Pure)
Open Access
File
Branching Random Walk
Scaling Limit
Pareto
Poisson Point Process
Random Potential
2 Citations (Scopus)
79 Downloads (Pure)

The derivation of the linear Boltzmann equation from a Rayleigh gas particle model

Matthies, K., Stone, G. R. & Theil, F., 1 Feb 2018, In : Kinetic and Related Models. 11, 1, p. 137-177 41 p., 14450.

Research output: Contribution to journalArticle

Open Access
File
Linear Boltzmann Equation
Boltzmann equation
Ludwig Boltzmann
Rayleigh
Tagged Particle
3 Downloads (Pure)
Open Access
File
Cell Migration
Invasion
Cell Cycle
cell movement
Cell Movement
3 Citations (Scopus)
19 Downloads (Pure)

The Root solution to the multi-marginal embedding problem: an optimal stopping and time-reversal approach

Cox, A. M. G., Obłój, J. & Touzi, N., 10 Feb 2018, In : Probability Theory and Related Fields. p. 1 - 49 49 p.

Research output: Contribution to journalArticle

Open Access
File
Skorohod Problem
Optimal Stopping
Embedding Problem
Time Reversal
Roots
1 Citation (Scopus)
18 Downloads (Pure)

The semi-infinite asymmetric exclusion process: Large deviations via matrix products

Gonzalez Duhart Muñoz De Cote, H., Morters, P. & Zimmer, J., 1 Apr 2018, In : Potential Analysis. 48, 3, p. 301-323

Research output: Contribution to journalArticle

Open Access
File
Asymmetric Exclusion Process
Matrix Product
Large Deviations
Stationary Measure
Product Measure
3 Citations (Scopus)

Unbiased `walk-on-spheres' Monte Carlo methods for the fractional Laplacian

Kyprianou, A., Osojnik, A. & Shardlow, T., 1 Jul 2018, In : IMA Journal of Numerical Analysis. 38, 3, p. 1550-1578 29 p.

Research output: Contribution to journalArticle

Open Access
Fractional Laplacian
Walk
Monte Carlo method
Stable Process
Monte Carlo methods
20 Downloads (Pure)

Uniqueness of solitary waves in the high-energy limit of FPU-type chains

Herrmann, M. & Matthies, K., 8 Feb 2018, Patterns of Dynamics . Gurevich, P., Hell, J., Sandstede, B. & Scheel, A. (eds.). Springer, Vol. 205. p. 3-15 13 p. ( Springer Proceedings in Mathematics & Statistics; vol. 205).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Solitary Waves
Traveling Wave
High Energy
Uniqueness
Delay Differential Equations
20 Downloads (Pure)

Universality in a class of fragmentation-coalescence processes

Kyprianou, A. E., Pagett, S. W. & Rogers, T., 1 May 2018, In : Annales de l'Institut Henri Poincaré: Probabilités et Statistiques. 54, 2, p. 1134-1151 18 p.

Research output: Contribution to journalArticle

Open Access
File
Coalescence
Fragmentation
Universality
Breakup
Thermodynamic Limit
2017
10 Citations (Scopus)
33 Downloads (Pure)

Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance

Zimmer, J., Jack, R. & Kaiser, M., 1 Jul 2017, In : Journal of Statistical Physics. 168, 2

Research output: Contribution to journalArticle

Open Access
File
Acceleration of Convergence
Convergence to Equilibrium
Hydrodynamic Limit
Detailed Balance
Markov chains
2 Citations (Scopus)

A Lyapunov function for Glauber dynamics on lattice triangulations

Stauffer, A., 1 Oct 2017, In : Probability Theory and Related Fields. 169, 1-2, p. 469–521

Research output: Contribution to journalArticle

Open Access
Glauber Dynamics
Lyapunov Function
Triangulation
Rectangle
Supermartingale
2 Citations (Scopus)

A phase transition in excursions from infinity of the "fast" fragmentation-coalescence process

Kyprianou, A., Rogers, T., Pagett, S. & Schweinsberg, J., 27 Nov 2017, In : Annals of Probablitiy. 45, 6A, p. 3829-3849

Research output: Contribution to journalArticle

Open Access
Excursion
Coalescence
Fragmentation
Phase Transition
Infinity
27 Downloads (Pure)

A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel

Zimmer, J., Patacchini, F., Hömberg, D. & Sakamoto, K., 1 Aug 2017, In : IMA Journal of Applied Mathematics. 82, 4, p. 763-780

Research output: Contribution to journalArticle

Open Access
File
Grain Size
Ferrite
Steel
Crystal microstructure
Identification (control systems)
1 Citation (Scopus)
77 Downloads (Pure)

Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift

Berestycki, J., Brunet, É., Harris, S. C. & Miłoś, P., 15 Sep 2017, In : Journal of Functional Analysis. 273, 6, p. 2107-2143 37 p.

Research output: Contribution to journalArticle

Open Access
File
Branching Brownian Motion
Brownian Motion with Drift
Absorption
Real Line
Traveling Wave

Characterizing tipping in a stochastic reduced stommel-type model in higher-dimensions

Budd, C., Glendinning, P., Hill, K. & Kuske, R., 2017, Extended Abstracts Spring 2016: Non Smooth Dynamics. Columbo, A., Jeffrey, M. R., Lazaro, J. T. & Olm, J. M. (eds.). Birkhauser, p. 25-29 5 p. (Trends in Mathematics; vol. 8).

Research output: Chapter in Book/Report/Conference proceedingChapter

Higher Dimensions
Climate Modeling
Model
Climate Models
Conceptual Model
1 Citation (Scopus)

Customized coarse models for highly heterogeneous materials

Dodwell, T. J., Sandhu, A. & Scheichl, R., 2017, Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Papamichos, E., Papanastasiou, P., Pasternak, E. & Dyskin, A. (eds.). Springer, p. 577-584 8 p. (Springer Series in Geomechanics and Geoengineering).

Research output: Chapter in Book/Report/Conference proceedingChapter

subsurface flow
Homogenization method
methodology
eigenvalue
engineering
2 Citations (Scopus)
66 Downloads (Pure)

Demographic noise slows down cycles of dominance

Yang, Q., Rogers, T. & Dawes, J. H. P., 7 Nov 2017, In : Journal of Theoretical Biology. 432, p. 157-168 12 p.

Research output: Contribution to journalArticle

Open Access
File
Mutation Rate
Noise
Mutation
demographic statistics
Demography
7 Citations (Scopus)
33 Downloads (Pure)
Open Access
File
Stochastic Dynamical Systems
Dimension Reduction
biology
dynamical systems
Biology
22 Citations (Scopus)

Dual-specificity phosphatase 5 controls the localized inhibition, propagation, and transforming potential of ERK signaling

Kidger, A. M., Rushworth, L. K., Stellzig, J., Davidson, J., Bryant, C. J., Bayley, C., Caddye, E., Rogers, T., Keyse, S. M. & Caunt, C. J., 17 Jan 2017, In : Proceedings of the National Academy of Sciences of the United States of America. 114, 3, p. E317-E326

Research output: Contribution to journalArticle

Open Access
Dual-Specificity Phosphatases
Extracellular Signal-Regulated MAP Kinases
Phosphotransferases
Cell Proliferation
Cell Aging
3 Citations (Scopus)

Effects of vertical confinement on gelation and sedimentation of colloids

Razali, A., Fullerton, C. J., Turci, F., Hallett, J. E., Jack, R. L. & Royall, C. P., 12 Apr 2017, In : Soft Matter. 13, 17, p. 3230-3239

Research output: Contribution to journalArticle

Open Access

Eight great reasons to do mathematics

Budd, C., 2017, Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science. . Melnik, R., Makarov, R. & Belair, J. (eds.). New York, U. S. A.: Springer New York, p. 245-262 18 p. (Fields Institute Communications; vol. 79).

Research output: Chapter in Book/Report/Conference proceedingChapter

Energy
Vary
Government
Heart
Review
65 Downloads (Pure)

Emergence of particle clusters in a one-dimensional model: connection to condensation processes

Burman, M., Carpenter, D. & Jack, R. L., 31 Mar 2017, In : Journal of Physics A: Mathematical and Theoretical. 50, 13, 17 p., 135002.

Research output: Contribution to journalArticle

Open Access
File
One-dimensional Model
Condensation
Hydrodynamic Limit
condensation
Hydrodynamics
20 Citations (Scopus)

Finite-size scaling of a first-order dynamical phase transition: Adaptive population dynamics and an effective model

Nemoto, T., Jack, R. L. & Lecomte, V., 17 Mar 2017, In : Physical Review Letters. 118, 11, p. 1-6 6 p., 115702.

Research output: Contribution to journalArticle

Open Access
scaling
deviation
feedback control
1 Citation (Scopus)

Gauss-quadrature method for one-dimensional mean-field SDEs

Kloeden, P. & Shardlow, T., 6 Dec 2017, In : SIAM Journal on Scientific Computing. 39, 6, p. A2784–A2807 23 p.

Research output: Contribution to journalArticle

Open Access
Vlasov equation
Gauss Quadrature
Quadrature Method
Initial value problems
Mean Field
2 Citations (Scopus)
44 Downloads (Pure)

Heterogeneous micro-structure of percolation in sparse networks

Kühn, R. & Rogers, T., 28 Aug 2017, In : EPL (Europhysics Letters). 118, 6, p. 1 - 7 7 p., 68003.

Research output: Contribution to journalArticle

Open Access
File
microstructure
information flow
supplements
messages
formulations

Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles

Zimmer, J., Dirr, N. & Stamatakis, M., Aug 2017, In : Journal of Statistical Physics. 168, 4, p. 794–825

Research output: Contribution to journalArticle

Open Access
Zero-range Process
Hydrodynamic Limit
condensing
hydrodynamic equations
hydrodynamics
6 Citations (Scopus)

Inequalities for critical exponents in d-dimensional sandpiles

Jarai, A., Hanson, J. & Bhupatiraju, S., 14 Oct 2017, In : Electronic Journal of Probability. 22, 51 p., 85.

Research output: Contribution to journalArticle

Open Access
Sandpiles
Avalanche
Critical Exponents
Radius
Stationary Distribution
2 Citations (Scopus)
57 Downloads (Pure)

Intersection and mixing times for reversible chains

Peres, Y., Sauerwald, T., Sousi, P. & Stauffer, A., 2017, In : Electronic Journal of Probability. 22, 12.

Research output: Contribution to journalArticle

Open Access
File
Mixing Time
Intersection
Random walk
Hitting Time
Sharp Inequality
5 Citations (Scopus)
61 Downloads (Pure)

Langevin equations for landmark image registration with uncertainty

Shardlow, T. & Marsland, S., 25 May 2017, In : SIAM Journal on Imaging Sciences. 10, 2, p. 782-807

Research output: Contribution to journalArticle

Open Access
File
Hamiltonians
Image registration
Langevin Equation
Image Registration
Landmarks

Lectures on the Poisson Process

Last, G. & Penrose, M., 21 Dec 2017, Cambridge University Press. 313 p.

Research output: Book/ReportBook

Stochastic Geometry
Poisson process
Boolean Model
Stochastic Analysis
Measure space
20 Downloads (Pure)

Measure-valued martingales and optimality of Bass-type solutions to the Skorokhod Embedding Problem

Beiglböck, M., Cox, A. M. G., Huesmann, M. & Källblad, S., 23 Aug 2017, (In preparation) In : Preprint on arXiv.

Research output: Contribution to journalArticle

File
Skorokhod Problem
Embedding Problem
Martingale
Optimality
Roots
3 Citations (Scopus)

Measure-valued Pólya processes

Mailler, C. & Marckert, J-F., 21 Mar 2017, In : Electronic Journal of Probability. 22, 33 p., 26.

Research output: Contribution to journalArticle

Open Access
Ball
Measure-valued Process
Converge
Branching Random Walk
Polish Space
3 Citations (Scopus)
23 Downloads (Pure)

Model-independent bounds for Asian options: A dynamic programming approach

Cox, A. & Källblad, S., 2 Nov 2017, In : SIAM Journal on Control and Optimization. 55, 6, p. 3409–3436

Research output: Contribution to journalArticle

Open Access
File
Asian Options
Dynamic programming
Dynamic Programming
Date
Model

Multiscale Modelling of Lamination Defects in Curved Structures

Reinarz, A., Dodwell, T., Fletcher, T., Butler, R. & Scheichl, R., Aug 2017, 21st International Conference for Composite Materials. Xi’an, China, 11 p. 3771

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Defects
Laminates
Finite element method
Testing
Costs
2 Citations (Scopus)
20 Downloads (Pure)

Non-extensive condensation in reinforced branching processes

Dereich, S., Mailler, C. & Morters, P., Aug 2017, In : Annals of Applied Probability. 27, 4, p. 2539-2568 30 p.

Research output: Contribution to journalArticle

Open Access
File
Branching process
Condensation
Fitness
Preferential Attachment
Urn model

Non-smooth hopf-type and grazing bifurcations arising from impact/friction contact events

Mora, K. & Budd, C., 2017, Extended Abstracts Spring 2016: Non Smooth Dynamics. Columbo, A., Jeffrey, M. R., Lazaro, J. T. & Olm, J. M. (eds.). Birkhäuser, p. 129-134 6 p. (Trends in Mathematics; vol. 8).

Research output: Chapter in Book/Report/Conference proceedingChapter

Grazing Bifurcation
Friction
Bifurcation
Contact
Magnetic Bearing
2 Citations (Scopus)

One-point localization for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M., 17 Jan 2017, In : Electronic Journal of Probability. 22, 20 p., 6.

Research output: Contribution to journalArticle

Open Access
Branching Random Walk
Pareto
Anderson Model
Random Potential
Intermittency