Research Output 1994 2019

2017
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
1 Citation (Scopus)

On the capacity functional of the infinite cluster of a Boolean model

Last, G., Penrose, M. D. & Zuyev, S., 30 Jun 2017, In : Annals of Applied Probability. 27, 3, p. 1678-1701

Research output: Contribution to journalArticle

Open Access
Boolean Model
Radius
Ball
Poisson process
Critical Exponents
77 Downloads (Pure)

Optimal embeddings by unbiased shifts of Brownian motion

Morters, P. & Redl, I., Apr 2017, In : Bulletin of the London Mathematical Society. 49, 2, p. 331-341

Research output: Contribution to journalArticle

Open Access
File
29 Citations (Scopus)
82 Downloads (Pure)

Optimal transport and Skorokhod embedding

Beiglboeck, M., Cox, A. M. G. & Huesmann, M., May 2017, In : Inventiones Mathematicae. 208, 2, p. 327-400 74 p.

Research output: Contribution to journalArticle

Open Access
File
Optimal Transport
Brownian motion
Optimality
Skorokhod Problem
Excursion Theory

Percolation of even sites for enhanced random sequential adsorption

Daniels, C. J. E. & Penrose, M. D., Mar 2017, In : Stochastic Processes and their Applications. 127, 3, p. 803-830

Research output: Contribution to journalArticle

Random Sequential Adsorption
Adsorption
Color
55 Downloads (Pure)

Phase transition in a sequential assignment problem on graphs

Jarai, A. A., 30 Aug 2017, In : Annals of Applied Probability. 27, 4, p. 2098-2129 32 p.

Research output: Contribution to journalArticle

Open Access
File
Critical region
Finite Graph
Assignment Problem
Convex Sets
Error Bounds
1 Citation (Scopus)

Polynomial mixing of the edge-flip markov chain for unbiased dyadic tilings

Cannon, S., Levin, D. A. & Stauffer, A., 1 Aug 2017, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques - 20th International Workshop, APPROX 2017 and 21st International Workshop, RANDOM 2017: Volume 81. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 34

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

Markov processes
Polynomials
Relaxation time

Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems

Scheichl, R., Stuart, A. M. & Teckentrup, A. L., 27 Apr 2017, In : SIAM/ASA Journal on Uncertainty Quantification. 5, 1, p. 493-518

Research output: Contribution to journalArticle

Open Access
Quasi-Monte Carlo
Multilevel Methods
Elliptic Problems
Monte Carlo method
Ratio Estimator
7 Citations (Scopus)

Real self-similar processes started from the origin

Dereich, S., Döring, L. & Kyprianou, A. E., 1 May 2017, In : Annals of Probability. 45, 3, p. 1952-2003 52 p.

Research output: Contribution to journalArticle

Self-similar Processes
Markov Process
Markov Additive Process
Initial conditions
Fluctuations (theory)
5 Citations (Scopus)
69 Downloads (Pure)

Robustness of scale-free spatial networks

Jacob, E. & Morters, P., 15 May 2017, In : Annals of Probability. 45, 3, p. 1680-1722 35 p.

Research output: Contribution to journalArticle

Open Access
File
Spatial Networks
Scale-free Networks
Robustness
Power Law
Exponent
18 Downloads (Pure)

Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods

Drzisga, D., Gmeiner, B., Rüde, U., Scheichl, R. & Wohlmuth, B., 26 Oct 2017, In : SIAM Journal on Scientific Computing. 39, 5, p. S873-S897

Research output: Contribution to journalArticle

Open Access
File
Multilevel Methods
Monte Carlo method
Monte Carlo methods
Scheduling
Uncertainty Quantification

Stable processes, self-similarity and the unit ball

Kyprianou, A., 2017, In : Preprint at arxiv.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Stochastic level-set method for shape optimisation

Hedges, L. O., Kim, H. A. & Jack, R. L., 1 Nov 2017, In : Journal of Computational Physics. 348, p. 82-107 26 p.

Research output: Contribution to journalArticle

shape optimization
Shape optimization
mathematical programming
engineering
Statistical mechanics
2 Citations (Scopus)
28 Downloads (Pure)

Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics

Jack, R., Kaiser, M. & Zimmer, J., 22 Oct 2017, In : Entropy. 19, 10, p. 562 - 562 1 p.

Research output: Contribution to journalArticle

Open Access
File
molecular dynamics
symmetry
nonconservative forces
deviation
heat transmission
6 Citations (Scopus)

The contact process on scale-free networks evolving by vertex updating

Jacob, E. & Morters, P., 24 May 2017, In : Royal Society Open Science. May 2017, 170081.

Research output: Contribution to journalArticle

Open Access
infectious diseases
apexes
exponents
static models
metastable state

The critical dimension for G-measures

Mansfield, D. F. & Dooley, A. H., May 2017, In : Ergodic Theory and Dynamical Systems. 37, 3, p. 824-836

Research output: Contribution to journalArticle

Radon
Critical Dimension
Dynamical systems
Entropy
Radon-Nikodym Derivative
1 Citation (Scopus)
78 Downloads (Pure)

The largest fragment of a homogeneous fragmentation process

Kyprianou, A., Lane, F. & Morters, P., 1 Mar 2017, In : Journal of Statistical Physics. 166, 5, p. 1226–1246

Research output: Contribution to journalArticle

Open Access
File
11 Citations (Scopus)
60 Downloads (Pure)

The many-to-few lemma and multiple spines

Harris, S. & Roberts, M., 8 Feb 2017, In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 53, 1, p. 226-242

Research output: Contribution to journalArticle

File
Many to one
Spine
Branching process
Intuitive
Lemma
2 Citations (Scopus)
65 Downloads (Pure)

Travelling waves for a Frenkel-Kontorova chain

Buffoni, B., Zimmer, J. & Schwetlick, H., 15 Aug 2017, In : Journal of Differential Equations. 263, 4, p. 2317-2342 26 p.

Research output: Contribution to journalArticle

Open Access
File
Traveling Wave
Dislocation Dynamics
Frenkel-Kontorova Model
Arc of a curve
Fixed point
2 Citations (Scopus)
57 Downloads (Pure)
Open Access
File
resistors
Resistors
frequency response
Frequency response
capacitors
4 Citations (Scopus)
75 Downloads (Pure)

Vanishing corrections for the position in a linear model of FKPP fronts

Berestycki, J., Brunet, É., Harris, S. & Roberts, M., 30 Jan 2017, In : Communications in Mathematical Physics. 349, 3, p. 857-893 37 p.

Research output: Contribution to journalArticle

Open Access
File
Linear Model
Initial conditions
Term
Decay
Absorbing Boundary
2016
5 Citations (Scopus)
75 Downloads (Pure)

Absence of dissipation in trajectory ensembles biased by currents

Jack, R. L. & Evans, M., 28 Sep 2016, In : Journal of Statistical Mechanics-Theory and Experiment. 2016, 9, p. 093305

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
21 Downloads (Pure)

An euler-poisson scheme for Lévy driven SDEs

Ferreiro-Castilla, A., Kyprianou, A. & Scheichl, R., Mar 2016, In : Journal of Applied Probability. 53, 1, p. 262-278

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
73 Downloads (Pure)

Balls into bins via local search: cover time and maximum load

Bringmann, K., Sauerwald, T., Stauffer, A. & Sun, H., 2016, In : Random Structures and Algorithms. 48, 4, p. 681-702

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
80 Downloads (Pure)

Branching brownian motion in a strip: survival near criticality

Harris, S., Hesse, M. & Kyprianou, A., Jan 2016, In : Annals of Probability. 44, 1, p. 235-275 51 p.

Research output: Contribution to journalArticle

Open Access
File
Branching Brownian Motion
Criticality
Strip
Spine
Backbone
1 Citation (Scopus)
19 Downloads (Pure)

Chevron folding patterns and heteroclinic orbits

Budd, C. J., Chakhchoukh, A. N., Dodwell, T. J. & Kuske, R., 1 Sep 2016, In : Physica D: Nonlinear Phenomena. 330, p. 32-46 15 p.

Research output: Contribution to journalArticle

Open Access
File
limbs
folding
orbits
elastic media
systems analysis
4 Citations (Scopus)
71 Downloads (Pure)

Coarse-grained depletion potentials for anisotropic colloids: application to lock-and-key systems

Wilding, N. & Jack, R., Aug 2016, In : Journal of Chemical Physics. 145, 8, 084907.

Research output: Contribution to journalArticle

Open Access
File
Colloids
colloids
depletion
interactions
Polymers
1 Citation (Scopus)
67 Downloads (Pure)

Condensation and symmetry-breaking in the zero-range process with weak site disorder

Mailler, C., Morters, P. & Ueltschi, D., 1 Nov 2016, In : Stochastic Processes and their Applications. 126, 11, p. 3283-3309 22 p.

Research output: Contribution to journalArticle

Open Access
File
Zero-range Process
Condensation
Symmetry Breaking
Disorder
Condensate
30 Citations (Scopus)
57 Downloads (Pure)

Connectivity of soft random geometric graphs

Penrose, M., Apr 2016, In : Annals of Applied Probability. 26, 2, p. 986-1028 43 p.

Research output: Contribution to journalArticle

Open Access
File
Random Geometric Graph
Connectivity
Poisson Approximation
Probability function
Higher Dimensions
10 Citations (Scopus)
79 Downloads (Pure)

Deep factorisation of the stable process

Kyprianou, A., 2016, In : Electronic Journal of Probability. 21, 28 p.

Research output: Contribution to journalArticle

Open Access
File
38 Citations (Scopus)
90 Downloads (Pure)

Demographic noise can reverse the direction of deterministic selection

Constable, G. W. A., Rogers, T., McKane, A. J. & Tarnita, C. E., 9 Aug 2016, In : Proceedings of the National Academy of Sciences of the United States of America. 113, 32, p. E4745–E4754 32 p.

Research output: Contribution to journalArticle

Open Access
File
Demographics
Reversal
Evolutionary theory
Game-theoretic models
Extinction
4 Citations (Scopus)
80 Downloads (Pure)

Dynamics of lattice triangulations on thin rectangles

Caputo, P., Martinelli, F., Sinclair, A. & Stauffer, A., 14 Apr 2016, In : Electronic Journal of Probability. 21, p. 1-22

Research output: Contribution to journalArticle

Open Access
File
Rectangle
Triangulation
Dynamical Phase Transition
Glauber Dynamics
Mixing Time
1 Citation (Scopus)

Efficient Modelling and Accurate Certification of Curved Aerospace Laminates

Fletcher, T., Reinarz, A., Dodwell, T., Butler, R., Scheichl, R. & Newley, R., 2016.

Research output: Contribution to conferencePaper

3 Citations (Scopus)
82 Downloads (Pure)
Open Access
File
Flow simulation
Flow Simulation
Aspect Ratio
Preconditioner
Aspect ratio
4 Citations (Scopus)
162 Downloads (Pure)

Entropic and gradient flow formulations for nonlinear diffusion

Dirr, N., Stamatakis, M. & Zimmer, J., 1 Aug 2016, In : Journal of Mathematical Physics. 57, 8, 081505.

Research output: Contribution to journalArticle

Open Access
File
Gradient Flow
Nonlinear Diffusion
Thermodynamics
Zero-range Process
formulations
8 Citations (Scopus)
69 Downloads (Pure)

From empirical data to time-inhomogeneous continuous Markov processes

Lencastre, P., Raischel, F., Rogers, T. & Lind, P. G., 17 Mar 2016, In : Physical Review E. 93, 3, 032135.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)

Generalised and quotient models for random and/or trees and application to satisfiability

Genitrini, A. & Mailler, C., Dec 2016, In : Algorithmica. 76, 4, p. 1106–1138 33 p.

Research output: Contribution to journalArticle

Quotient
Model
Equivalence relation
Saturation
Infinity
7 Citations (Scopus)

Genomic variations leading to alterations in cell morphology of Campylobacter spp

Esson, D., Mather, A. E., Scanlan, E., Gupta, S., De Vries, S. P. W., Bailey, D., Harris, S. R., McKinley, T. J., Méric, G., Berry, S. K., Mastroeni, P., Sheppard, S. K., Christie, G., Thomson, N. R., Parkhill, J., Maskell, D. J. & Grant, A. J., 2 Dec 2016, In : Scientific Reports. 6, 38303.

Research output: Contribution to journalArticle

Open Access

Has winning the lottery jackpot become too difficult?

Roberts, M., 13 Jan 2016, The Conversation.

Research output: Contribution to specialist publicationArticle

Open Access
32 Citations (Scopus)
89 Downloads (Pure)

Ideal bulk pressure of active Brownian particles

Speck, T. & Jack, R. L., 10 Jun 2016, In : Physical Review E. 93, 6, 062605.

Research output: Contribution to journalArticle

Open Access
File

Improving weather forecasting accuracy by using r-adaptive methods coupled to data assimilation algorithms

Budd, C., Cullen, M. & Piccolo, C., 1 Jan 2016, UK Success Stories in Industrial Mathematics. Aston, P. J., Mulholland, A. J. & Tant, K. M. M. (eds.). Springer International Publishing, p. 11-18 8 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Data Assimilation
Adaptive Method
Weather
Forecast
Forecasting
4 Citations (Scopus)
36 Downloads (Pure)

Intermittency for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M. I., 16 May 2016, In : Annals of Probability. 44, 3, p. 2198-2263 66 p.

Research output: Contribution to journalArticle

Open Access
Branching Random Walk
Intermittency
Pareto
Anderson Model
Random Potential
83 Downloads (Pure)

Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media

Matthies, K. & Uecker, H., 10 Aug 2016, In : Asymptotic Analysis. 99, 1-2, p. 53-65

Research output: Contribution to journalArticle

Open Access
File
Periodic Media
Wave Packet
Nonlinear Waves
Justification
Envelope
8 Citations (Scopus)
52 Downloads (Pure)

Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation

Weller, H., Browne, P., Budd, C. & Cullen, M., 1 Mar 2016, In : Journal of Computational Physics. 308, p. 102-123 22 p.

Research output: Contribution to journalArticle

Open Access
mesh
Linearization
Resource allocation
Equations of motion
Anisotropy
12 Citations (Scopus)
48 Downloads (Pure)
Open Access
File
Multilevel Methods
Mixed Finite Elements
Monte Carlo method
Finite Element Discretization
Error Bounds
5 Citations (Scopus)

Model-independent no-arbitrage conditions on American put options

Cox, A. M. G. & Hoeggerl, C., Apr 2016, In : Mathematical Finance. 26, 2

Research output: Contribution to journalArticle

Arbitrage
European Options
American Options
Optimal Stopping
Sufficiency
45 Citations (Scopus)
80 Downloads (Pure)

Modularity and stability in ecological communities

Rogers, T., Allesina, S. & Grilli, J., 23 Jun 2016, In : Nature Communications. 7, 12031.

Research output: Contribution to journalArticle

Open Access
File
Biota
modularity
Ecology
Ecosystems
Ecosystem

More on hypergeometric Lévy processes

Horton, E. & Kyprianou, A., 31 Jul 2016, In : Advances in Applied Probability. 48, A, p. 153-158 6 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Network innoculation: heteroclinics and phase transitions in an epidemic model

Yang, H., Rogers, T. & Gross, T., 22 Aug 2016, In : Chaos. 26, 083116.

Research output: Contribution to journalArticle

Epidemic Model
Phase Transition
Phase transitions
Bifurcation
Local Bifurcations
150 Downloads (Pure)

Note: Physical mechanisms for the bulk melting of stable glasses

Jack, R. L. & Berthier, L., 21 Aug 2016, In : Journal of Chemical Physics. 145, 7, 076101.

Research output: Contribution to journalArticle

Open Access
File