Research Output 1994 2019

2014
1 Citation (Scopus)
77 Downloads (Pure)

Travelling lattice waves in a toy model of Lennard-Jones interaction

Venney, C. R. & Zimmer, J., 1 Mar 2014, In : Quarterly of Applied Mathematics. 72, 1, p. 65-84 20 p.

Research output: Contribution to journalArticle

Open Access
File
Lennard-Jones potential
Lennard-Jones
Nearest Neighbor
Interaction
Periodic Solution
10 Citations (Scopus)
74 Downloads (Pure)

Unbiased shifts of Brownian motion

Last, G., Morters, P. & Thorisson, H., Mar 2014, In : Annals of Probability. 42, 2, p. 431-463 30 p.

Research output: Contribution to journalArticle

Open Access
File
Brownian motion
Random Measure
Balancing
Stopping Time
Minimality
3 Citations (Scopus)
71 Downloads (Pure)

Utility theory front to back: Inferring utility from agents' choices

Cox, A. M. G., Hobson, D. & Obłój, J., 1 May 2014, In : International Journal of Theoretical and Applied Finance. 17, 3

Research output: Contribution to journalArticle

File
Utility theory
Utility function
Investment strategy
Risk attitude
Continuous time
8 Citations (Scopus)
54 Downloads (Pure)

Vulnerability of robust preferential attachment networks

Eckhoff, M. & Morters, P., 5 Jul 2014, In : Electronic Journal of Probability. 19, p. 1-47 57.

Research output: Contribution to journalArticle

Open Access
File
Preferential Attachment
Vulnerability
Proportion
Vertex of a graph
Topological Structure
2013
13 Citations (Scopus)
76 Downloads (Pure)

Are there species smaller than 1 mm?

G. Rossberg, A., Rogers, T. & McKane, A. J., 22 Sep 2013, In : Proceedings of the Royal Society B: Biological Sciences. 280, 1767, 20131248.

Research output: Contribution to journalArticle

Open Access
File
Biodiversity
Mutation Rate
Population Density
meiofauna
Genome
18 Citations (Scopus)
94 Downloads (Pure)

A simple path to asymptotics for the frontier of a branching Brownian motion

Roberts, M. I., Sep 2013, In : Annals of Probability. 41, 5, p. 3518-3541 24 p.

Research output: Contribution to journalArticle

Open Access
File
Branching Brownian Motion
Path
Brownian motion
Median
9 Citations (Scopus)
84 Downloads (Pure)

A spatial preferential attachment model with local clustering

Morters, P. & Jacob, E., 2013, Algorithms and Models for the Web Graph.: Proceedings of the 10th International Workshop, WAW 2013, Cambridge, MA, USA.. Springer, Vol. 8305. p. 14-25 (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

File
72 Downloads (Pure)

A two-level Schwarz preconditioner for heterogeneous problems

Dolean, V., Nataf, F., Spillane, N. & Scheichl, R., 2013, Domain Decomposition Methods in Science and Engineering XX : Part II. Banks, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer, p. 87-94 8 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

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

Open Access
File
14 Citations (Scopus)

Balls into bins via local search

Bogdan, P., Sauerwald, T., Stauffer, A. & Sun, H., 2013, Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, New Orleans, Louisiana USA, January 6-8, 2013. Philadelphia, U. S. A.: Society for Industrial and Applied Mathematics, p. 16-34

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

17 Citations (Scopus)
94 Downloads (Pure)

Balls-into-bins with nearly optimal load distribution

Berenbrink, P., Khodamoradi, K., Sauerwald, T. & Stauffer, A., 2013, p. 326-335. 10 p.

Research output: Contribution to conferencePaper

Open Access
File
Bins
4 Citations (Scopus)

Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics

Das, A., Acharya, A., Zimmer, J. & Matthies, K., Nov 2013, In : Mathematics and Mechanics of Solids. 18, 8, p. 803-822 20 p.

Research output: Contribution to journalArticle

Dislocation
Mechanics
Ginzburg-Landau Equation
Predict
Microstructure
6 Citations (Scopus)

Catalytic branching processes via spine techniques and renewal theory

Doering, L. & Roberts, M. I., 2013, In : Séminaire de Probabilités. XLV, p. 305-322 18 p.

Research output: Contribution to journalArticle

Renewal Theorem
Renewal Theory
Spine
Branching process
Long-time Behavior
4 Citations (Scopus)
65 Downloads (Pure)

Characterizing optimal sampling of binary contingency tables via the configuration model

Blanchet, J. & Stauffer, A., 1 Mar 2013, In : Random Structures and Algorithms. 42, 2, p. 159-184 26 p.

Research output: Contribution to journalArticle

File
Contingency Table
Binary
Sampling
Configuration
Pairing
19 Citations (Scopus)
78 Downloads (Pure)

Consensus time and conformity in the adaptive voter model

Rogers, T. C. & Gross, T., 6 Sep 2013, In : Physical Review E. 88, 3, 030102.

Research output: Contribution to journalArticle

Open Access
File
Voter Model
Dynamical Phase Transition
Opinion Formation
Phenomenology
Scaling Behavior
15 Citations (Scopus)
82 Downloads (Pure)

Controlling crystal self-assembly using a real-time feedback scheme

Klotsa, D. & Jack, R. L., 7 Mar 2013, In : Journal of Chemical Physics. 138, 9, 094502.

Research output: Contribution to journalArticle

Open Access
File
assembling
Self assembly
self assembly
Feedback
Crystals
15 Citations (Scopus)
68 Downloads (Pure)

Diameter and broadcast time of random geometric graphs in arbitrary dimensions

Friedrich, T., Sauerwald, T. & Stauffer, A., 1 Sep 2013, In : Algorithmica. 67, 1, p. 65-88 24 p.

Research output: Contribution to journalArticle

Open Access
File
Random Geometric Graph
Broadcast
Euclidean Distance
Connected Components
Arbitrary
15 Citations (Scopus)

Dynamical correlations in a glass former with randomly pinned particles

Jack, R. L. & Fullerton, C. J., 11 Oct 2013, In : Physical Review E. 88, 4, 042304.

Research output: Contribution to journalArticle

glass
Glass Transition
Correlation Length
Relaxation Time
Length Scale
9 Citations (Scopus)
77 Downloads (Pure)

Dynamical phase transitions in supercooled liquids: Interpreting measurements of dynamical activity

Fullerton, C. J. & Jack, R. L., 14 Jun 2013, In : Journal of Chemical Physics. 138, 22, 224506.

Research output: Contribution to journalArticle

Open Access
File
Phase transitions
Structural relaxation
Liquids
liquids
Potential energy
9 Citations (Scopus)
71 Downloads (Pure)

Emergence of condensation in Kingman's model of selection and mutation

Dereich, S. & Morters, P., Oct 2013, In : Acta Applicandae Mathematicae. 127, 1, p. 17-26 10 p.

Research output: Contribution to journalArticle

Open Access
File
Condensation
Mutation
Scaling Limit
Gamma distribution
Limit Theorems
39 Citations (Scopus)
85 Downloads (Pure)

Emergence of glass-like behavior in markov state models of protein folding dynamics

Weber, J. K., Jack, R. L. & Pande, V. S., 17 Apr 2013, In : Journal of the American Chemical Society. 135, 15, p. 5501-5504 4 p.

Research output: Contribution to journalArticle

Open Access
File
Protein folding
Protein Folding
Glass
Kinetics
Glass transition
74 Citations (Scopus)

Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods

Charrier, J., Scheichl, R. & Teckentrup, A. L., 2013, In : SIAM Journal on Numerical Analysis (SINUM). 51, 1, p. 322-352 31 p.

Research output: Contribution to journalArticle

Multilevel Methods
Elliptic PDE
Random Parameters
Random Coefficients
Coercivity
68 Citations (Scopus)

Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients

Teckentrup, A. L., Scheichl, R., Giles, M. B. & Ullmann, E., Nov 2013, In : Numerische Mathematik. 125, 3, p. 569-600 32 p.

Research output: Contribution to journalArticle

Multilevel Methods
Elliptic PDE
Random Coefficients
Monte Carlo method
Monte Carlo methods
32 Citations (Scopus)
78 Downloads (Pure)

GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles

Duong, M. H., Peletier, M. A. & Zimmer, J., Nov 2013, In : Nonlinearity. 26, 11, p. 2951-2971 21 p.

Research output: Contribution to journalArticle

Open Access
File
Fokker Planck equation
Vlasov Equation
Large Deviation Principle
Particle System
Variational Formulation

How, if, and why species form

G. Rossberg, A., Rogers, T. C. & McKane, A. J., 1 Nov 2013, In : Scientist . 27, 11, 38010.

Research output: Contribution to journalEditorial

6 Citations (Scopus)
67 Downloads (Pure)

Increasing paths in regular trees

Roberts, M. & Zhuo Zhao, L., 2013, In : Electronic Communications in Probability. 18, 10 p., 87.

Research output: Contribution to journalArticle

Open Access
File
Roots
Converge
Continuous random variable
Path
Identically distributed

Interaction of waves in a one dimensional stochastic PDE model of excitable media

Alzubaidi, H. & Shardlow, T., Sep 2013, In : Discrete and Continuous Dynamical Systems - Series B. 18, 7, p. 1735-1754

Research output: Contribution to journalArticle

Stochastic PDEs
Excitable Media
Stochastic models
Excitation
Kink
21 Citations (Scopus)
75 Downloads (Pure)

Large deviations and gradient flows

Adams, S., Dirr, N., Peletier, M. & Zimmer, J., 28 Dec 2013, In : Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences. 371, 2005, 0341.

Research output: Contribution to journalArticle

File
Gradient Flow
Large Deviation Principle
Brownian movement
Large Deviations
Free energy

Large Scale Inverse Problems: Computational Methods and Applications in the Earth Sciences

Cullen, M. (ed.), Freitag, M. A., Kindermann, S. (ed.) & Scheichl, R. (ed.), 16 Aug 2013, Berlin, Germany: De Gruyter. 203 p. (Radon Series on Computational and Applied Mathematics; vol. 13)

Research output: Book/ReportBook

21 Citations (Scopus)

Limit theory for point processes in manifolds

Penrose, M. D. & Yukich, J. E., 2013, In : Annals of Applied Probability. 23, 6, p. 2161-2211 52 p.

Research output: Contribution to journalArticle

Point Process
Weak law of large numbers
Estimator
Weak Dependence
Rényi Entropy
10 Citations (Scopus)
82 Downloads (Pure)

Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs

Mueller, E., Guo, X., Scheichl, R. & Shi, S., Apr 2013, In : Computing and Visualization in Science. 16, 2, p. 41-58 18 p.

Research output: Contribution to journalArticle

Open Access
File
Preconditioned Conjugate Gradient
Elliptic Partial Differential Equations
Graphics Processing Unit
Partial differential equations
Numerical Weather Prediction
18 Citations (Scopus)
80 Downloads (Pure)

Mobile geometric graphs: Detection, coverage and percolation

Peres, Y., Sinclair, A., Sousi, P. & Stauffer, A., Jun 2013, In : Probability Theory and Related Fields. 156, 1-2, p. 273-305 33 p.

Research output: Contribution to journalArticle

Open Access
File
Geometric Graphs
Coverage
Vertex of a graph
Graph in graph theory
Stochastic Geometry

Modelling of thin martensitic films with nonpolynomial stored energies

Kruzik, M. & Zimmer, J., 2013, p. 587-608. 22 p.

Research output: Contribution to conferencePaper

Young Measures
Energy
Modeling
Zero
Dirichlet Boundary Conditions
23 Citations (Scopus)

Monge–Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem

Budd, C. J., Cullen, M. J. P. & Walsh, E. J., 1 Mar 2013, In : Journal of Computational Physics. 236, p. 247-270 34 p.

Research output: Contribution to journalArticle

Coriolis force
Meteorology
Incompressible flow
weather
mesh
6 Citations (Scopus)
79 Downloads (Pure)

New theoretical coefficient robustness results for FETI-DP

Pechstein, C., Sarkis, M. & Scheichl, R., 2013, Domain Decomposition Methods in Science and Engineering XX : Part II. Bank, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer, p. 313-320 8 p. (Lecture Notes in Computational Science and Engineering ; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
39 Citations (Scopus)
77 Downloads (Pure)

On optimal dividends in the dual model

Bayraktar, E., Kyprianou, A. E. & Yamazaki, K., Sep 2013, In : ASTIN Bulletin. 43, 3, p. 359-372 14 p.

Research output: Contribution to journalArticle

Open Access
File
Lévy process
Optimal dividends
Payment
Barrier strategy
Time of ruin
10 Citations (Scopus)

Percolation and limit theory for the poisson lilypond model

Last, G. & Penrose, M. D., Mar 2013, In : Random Structures and Algorithms. 42, 2, p. 226-249 24 p.

Research output: Contribution to journalArticle

Poisson Model
Point Process
Ball
D-space
Strictly positive
2 Citations (Scopus)
70 Downloads (Pure)

Perturbing the hexagonal circle packing: A percolation perspective

Benjamini, I. & Stauffer, A., Nov 2013, In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 49, 4, p. 1141-1157 18 p.

Research output: Contribution to journalArticle

Open Access
File
Circle packing
Hexagon
Circle
Radius
Continuum Percolation
10 Citations (Scopus)
73 Downloads (Pure)

Planewave expansion methods for photonic crystal fibres

Norton, R. A. & Scheichl, R., Jan 2013, In : Applied Numerical Mathematics. 63, p. 88-104 17 p.

Research output: Contribution to journalArticle

Open Access
File
Photonic crystal fibers
Photonic Crystal
Plane Wave
Fiber
Discontinuous Coefficients
5 Citations (Scopus)

Random lattice triangulations: structure and algorithms

Caputo, P., Martinelli, F., Sinclair, A. & Stauffer, A., 2013, STOC '13- Proceedings of the 45th Annual ACM Symposium on Theory of Computing. New York, U. S. A.: Association for Computing Machinery, p. 615-624

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

21 Citations (Scopus)
66 Downloads (Pure)

Random networks with sublinear preferential attachment: the giant component

Dereich, S. & Morters, P., Jan 2013, In : Annals of Probability. 41, 1, p. 329-384 56 p.

Research output: Contribution to journalArticle

File
Giant Component
Preferential Attachment
Random Networks
Branching Random Walk
Survival Distribution
7 Citations (Scopus)

Random parking, Euclidean functionals, and rubber elasticity

Gloria, A. & Penrose, M. D., 1 Jul 2013, In : Communications in Mathematical Physics. 321, 1, p. 1-31 31 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Resolution of sharp fronts in the presence of model error in variational data assimilation

Freitag, M. A., Nichols, N. K. & Budd, C. J., Apr 2013, In : Quarterly Journal of the Royal Meteorological Society. 139, 672, p. 742-757 16 p.

Research output: Contribution to journalArticle

data assimilation
inverse problem
matrix
norm
method
2 Citations (Scopus)
76 Downloads (Pure)

Robust coarsening in multiscale PDEs

Scheichl, R., 2013, Domain Decomposition Methods in Science and Engineering XX: Part I. Bank, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer, p. 51-62 12 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

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

Open Access
File
41 Citations (Scopus)
77 Downloads (Pure)

Root's barrier: Construction, optimality and applications to variance options

M. G. Cox, A. & Wang, J., Jun 2013, In : Annals of Applied Probability. 23, 3, p. 859-894 35 p.

Research output: Contribution to journalArticle

Open Access
File
Optimality
Stopping Time
Roots
Skorokhod Problem
Embedding Problem
25 Citations (Scopus)
121 Downloads (Pure)

Self-assembly of colloidal polymers via depletion-mediated lock and key binding

Ashton, D. J., Jack, R. L. & Wilding, N. B., 28 Oct 2013, In : Soft Matter. 9, 40, p. 9661-9666 6 p.

Research output: Contribution to journalArticle

Open Access
File
Colloids
Self assembly
colloids
self assembly
Polymers

Some path large-deviation results for a branching diffusion

Hardy, R. & Harris, S. C., 2013, Advances in Superprocesses and Nonlinear PDEs. Englander, J. & Rider, B. (eds.). New York: Springer, p. 61-91 (Springer Proceedings in Mathematics & Statistics; vol. 38).

Research output: Chapter in Book/Report/Conference proceedingChapter

Spine
Large Deviations
Branching
Path
Branching Brownian Motion
9 Citations (Scopus)

Space-time phase transitions in the East model with a softened kinetic constraint

Elmatad, Y. S. & Jack, R. L., 28 Mar 2013, In : Journal of Chemical Physics. 138, 12, p. 12A531

Research output: Contribution to journalArticle

Phase transitions
space temperature
Kinetics
kinetics
critical point
17 Citations (Scopus)
79 Downloads (Pure)

Stochastic dynamics on slow manifolds

Constable, G. W. A., McKane, A. J. & Rogers, T., 26 Jul 2013, In : Journal of Physics A: Mathematical and Theoretical. 46, 29, 295002.

Research output: Contribution to journalArticle

Open Access
File
Slow Manifold
Stochastic Dynamics
dynamical systems
Dynamical systems
epidemiology
6 Citations (Scopus)
90 Downloads (Pure)

Subsonic phase transition waves in bistable lattice models with small spinodal region

Herrmann, M., Matthies, K., Schwetlick, H. & Zimmer, J., 3 Sep 2013, In : SIAM Journal on Mathematical Analysis (SIMA). 45, 5, p. 2625-2645 21 p.

Research output: Contribution to journalArticle

Open Access
File
Lattice Model
Phase Transition
Phase transitions
Perturbation
Kinetic Relation

Super-Brownian motion: Lp-convergence of Martingales through the pathwise spine decomposition

Kyprianou, A. E. & Murillo-Salas, A., 2013, Advances in Superprocesses and Nonlinear PDEs. Englander, J. & Rider, B. (eds.). New York: Springer, Vol. 38. p. 113-121 (Springer Proceedings in Mathematics & Statistics; vol. 38).

Research output: Chapter in Book/Report/Conference proceedingChapter

Super-Brownian Motion
Spine
Martingale
Branching
Superprocess