Research Output 1994 2019

2013
1 Citation (Scopus)
17 Downloads (Pure)

The isolation time of Poisson Brownian motions

Peres, Y., Sousi, P. & Stauffer, A., 2013, In : ALEA Latin American Journal of Probability and Mathematical Statistics. 10, 2, p. 813-829 17 p.

Research output: Contribution to journalArticle

Open Access
File
Poisson Point Process
Isolation
Brownian motion
Siméon Denis Poisson
Target
5 Citations (Scopus)

The near-critical scaling window for directed polymers on disordered trees

Alberts, T. & Ortgiese, M., 2013, In : Electronic Journal of Probability. 18, 24 p., 19.

Research output: Contribution to journalArticle

Open Access
Directed Polymers
Scaling
Perturbation
Partition Function
Asymptotic Behavior
7 Citations (Scopus)
86 Downloads (Pure)

The origin of power-law emergent scaling in large binary networks

Almond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J. & Smith, N. D., 15 Feb 2013, In : Physica A: Statistical Mechanics and its Applications. 392, 4, p. 1004-1027

Research output: Contribution to journalArticle

Open Access
File
Conduction
scaling laws
Power Law
Proportion
Scaling
78 Citations (Scopus)
69 Downloads (Pure)

The theory of scale functions for spectrally negative lévy processes

Kuznetsov, A., Kyprianou, A. E. & Rivero, V., 2013, Lévy Matters II: Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Functions. Berlin: Springer, p. 97-186 90 p. (Lecture Notes in Mathematics; vol. 2061).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Open Access
File
Scale Function
Lévy Process
Excursion Theory
Fluctuations (theory)
Infinitely Divisible Distribution
4 Citations (Scopus)
63 Downloads (Pure)

Voter models with conserved dynamics

Caccioli, F., Dall'Asta, L., Galla, T. & Rogers, T., 10 May 2013, In : Physical Review E. 87, 5, 10 p., 052114.

Research output: Contribution to journalArticle

Open Access
File
Voter Model
Scaling
Domain Growth
scaling
Odds
21 Citations (Scopus)

Weighted Poincaré inequalities

Pechstein, C. & Scheichl, R., 2013, In : IMA Journal of Numerical Analysis. 33, 2, p. 652-686 35 p.

Research output: Contribution to journalArticle

Weighted Inequalities
Poincaré Inequality
Poincaré
Decomposition
Coefficient
2012
22 Downloads (Pure)

Abelian sandpiles: An overview and results on certain transitive graphs

Jarai, A. A., 2012, In : Markov Processes and Related Fields. 18, 1, p. 111-156 44 p.

Research output: Contribution to journalArticle

Open Access
File
Sandpiles
Sandpile Model
Stationary Distribution
Harmonic functions
Graph in graph theory
14 Citations (Scopus)

A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints

Browne, P. A., Budd, C., Gould, N. I. M., Kim, H. A. & Scott, J. A., 21 Dec 2012, In : International Journal for Numerical Methods in Engineering. 92, 12, p. 1026-1043 18 p.

Research output: Contribution to journalArticle

Topology Optimization
Shape optimization
Buckling
Programming
Binary
31 Citations (Scopus)

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems

Bastian, P., Blatt, M. & Scheichl, R., Mar 2012, In : Numerical Linear Algebra with Applications. 19, 2, p. 367-388 22 p.

Research output: Contribution to journalArticle

Algebraic multigrid
Discontinuous Galerkin
Elliptic Problems
Linear systems
Discretization
37 Citations (Scopus)

Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps

Dolean, V., Nataf, F., Spillane, N. & Scheichl, R., Oct 2012, In : Computational Methods in Applied Mathematics. 12, 4, p. 391-414 24 p.

Research output: Contribution to journalArticle

Two-level Method
Schwarz Methods
Dirichlet-to-Neumann Map
Domain decomposition methods
Coefficient
1 Citation (Scopus)

An application of the backbone decomposition to supercritical super-Brownian motion with a barrier

Kyprianou, A. E., Murillo-Salas, A. & Pérez, J. L., Sep 2012, In : Journal of Applied Probability. 49, 3, p. 671-684 14 p.

Research output: Contribution to journalArticle

Super-Brownian Motion
Backbone
Branching Brownian Motion
Decompose
Wave equation

An optimal stopping problem for fragmentation processes

Kyprianou, A. E. & Pardo, J. C., Apr 2012, In : Stochastic Processes and their Applications. 122, 4, p. 1210-1225 16 p.

Research output: Contribution to journalArticle

Optimal Stopping Problem
Fragmentation
Generalized Ornstein-Uhlenbeck Process
Lévy Process
Fragment
4 Citations (Scopus)
66 Downloads (Pure)

A scaling limit theorem for the parabolic Anderson model with exponential potential

Lacoin, H. & Morters, P., 2012, Probability in complex physical systems: In honour of Jürgen Gärtner and Erwin Bolthausen. Deuschel, J. D., Gentz, B., Konig, W., Von Reesse, M., Scheutzow, M. & Schmock, U. (eds.). Berlin: Springer, Vol. 11. p. 247-272 (Springer Proceedings in Mathematics; vol. 11).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Anderson Model
Scaling Limit
Limit Theorems
Almost Sure Limit Theorem
Random Potential
3 Citations (Scopus)
77 Downloads (Pure)

A semigroup approach to the justification of kinetic theory

Matthies, K. & Theil, F., 2012, In : SIAM Journal on Mathematical Analysis (SIMA). 44, 6, p. 4345–4379 35 p.

Research output: Contribution to journalArticle

Open Access
File
Kinetic theory
Kinetic Theory
Justification
Semigroup
Collision
5 Citations (Scopus)
77 Downloads (Pure)

Backbone decomposition for continuous-state branching processes with immigration

Kyprianou, A. E. & Ren, Y. X., Jan 2012, In : Statistics & Probability Letters. 82, 1, p. 139-144 6 p.

Research output: Contribution to journalArticle

Open Access
File
Continuous-state Branching Process
Immigration
Backbone
Decompose
Galton-Watson Tree
1 Citation (Scopus)
76 Downloads (Pure)

Branching Brownian motion: Almost sure growth along scaled paths

Harris, S. C. & Roberts, M. I., 2012, In : Séminaire de Probabilités. XLIV, p. 375-399

Research output: Contribution to journalArticle

Open Access
File
Branching Brownian Motion
Path
Spine
Large Deviations
4 Citations (Scopus)

Co-induction in dynamical systems

Dooley, A. H. & Zhang, G., 3 May 2012, In : Ergodic Theory and Dynamical Systems. 32, 03, p. 919-940 22 p.

Research output: Contribution to journalArticle

Coinduction
Dynamical systems
Entropy
Dynamical system
Algebra
2 Citations (Scopus)

Computing the critical dimensions of Bratteli–Vershik systems with multiple edges

Dooley, A. H. & Hagihara, R., Feb 2012, In : Ergodic Theory and Dynamical Systems. 32, 01, p. 103-117 15 p.

Research output: Contribution to journalArticle

Radon
Critical Dimension
Dynamical systems
Derivatives
Computing
24 Citations (Scopus)

Demographic noise can lead to the spontaneous formation of species

Rogers, T., McKane, A. J. & Rossberg, A. G., 2012, In : EPL (Europhysics Letters). 97, 4, 40008.

Research output: Contribution to journalArticle

organisms
fitness
resources
curves
13 Citations (Scopus)
75 Downloads (Pure)

Fluctuation theory and exit systems for positiveself-similar Markov processes

Chaumont, L., Kyprianou, A. E., Pardo, J-C. & Rivero, V., Jan 2012, In : Annals of Probability. 40, 1, p. 245-279 35 p.

Research output: Contribution to journalArticle

File
6 Citations (Scopus)
124 Downloads (Pure)
Open Access
File

Improving the Forecasting of Storms

Budd, C., 2012

Research output: Non-textual formWeb publication/site

mesh size
science
7 Citations (Scopus)

Jamming and pattern formation in models of segregation

Rogers, T. & McKane, A. J., 2012, In : Physical Review E. 85, 4, 5 p., 041136.

Research output: Contribution to journalArticle

jamming
Jamming
Segregation
Pattern Formation
Nonequilibrium Systems
5 Citations (Scopus)
81 Downloads (Pure)

Kinetic relations for a lattice model of phase transitions

Schwetlick, H. & Zimmer, J., 1 Nov 2012, In : Archive for Rational Mechanics and Analysis. 206, 2, p. 707-724 18 p.

Research output: Contribution to journalArticle

Open Access
File
Kinetic Relation
Lattice Model
Traveling Wave Solutions
Phase Transition
Phase transitions
43 Citations (Scopus)
70 Downloads (Pure)

Meromorphic levy processes and their fluctuation identities

Kuznetsov, A., Kyprianou, A. E. & Pardo, J-C., Jun 2012, In : Annals of Applied Probability. 22, 3, p. 1101-1135 35 p.

Research output: Contribution to journalArticle

File
Meromorphic
Lévy Process
Fluctuations
Factorization
Applied Probability

Minimal configurations and sandpile measures

Jarai, A. & Werning, N., 2012, p. 337-340. 4 p.

Research output: Contribution to conferencePaper

15 Citations (Scopus)

Multi-layered folding with voids

Dodwell, T. J., Hunt, G. W., Peletier, M. A. & Budd, C. J., Apr 2012, In : Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences. 370, 1965, p. 1740-1758 19 p.

Research output: Contribution to journalArticle

Voids
Folding
folding
voids
free boundaries
17 Citations (Scopus)
68 Downloads (Pure)

Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids

Scheichl, R., Vassilevski, P. S. & Zikatanov, L. T., 2012, In : SIAM Journal on Numerical Analysis (SINUM). 50, 3, p. 1675-1694 20 p.

Research output: Contribution to journalArticle

Open Access
File
Multilevel Methods
Varying Coefficients
Elliptic Problems
Boundary value problems
Grid
20 Citations (Scopus)

Noise-induced metastability in biochemical networks

Biancalani, T., Rogers, T. & McKane, A. J., 2012, In : Physical Review E. 86, 1, 4 p., 010106(R).

Research output: Contribution to journalArticle

Biochemical Networks
Metastability
metastable state
Mean Field Equation
Reaction Network
1 Citation (Scopus)
76 Downloads (Pure)

Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model

Schwetlick, H., Sutton, D. C. & Zimmer, J., Dec 2012, In : Journal of Nonlinear Science. 22, 6, p. 917-934 18 p.

Research output: Contribution to journalArticle

Open Access
File
Hamiltonians
Lattice Model
Traveling Wave
Nonexistence
Corrector
1 Citation (Scopus)

Non-uniqueness in G-measures

Dooley, A. H. & Rudolph, D. J., 1 Apr 2012, In : Ergodic Theory and Dynamical Systems. 32, 02, p. 575-586

Research output: Contribution to journalArticle

2 Citations (Scopus)
95 Downloads (Pure)

On selection criteria for problems with moving inhomogeneities

Herrmann, M., Schwetlick, H. & Zimmer, J., 1 Jan 2012, In : Continuum Mechanics and Thermodynamics. 24, 1, p. 21-36 16 p.

Research output: Contribution to journalArticle

File
inhomogeneity
Thermodynamics
Fluxes
thermodynamics
energy
63 Downloads (Pure)

On the most visited sites of planar Brownian motion

Cammarota, V. & Morters, P., Apr 2012, In : Electronic Communications in Probability. 17, p. 1-9 9 p., 15.

Research output: Contribution to journalArticle

Open Access
File
20 Citations (Scopus)

Optimal control with absolutely continuous strategies for spectrally negative lévy processes

Kyprianou, A. E., Loeffen, R. & Pérez, J-L., Mar 2012, In : Journal of Applied Probability. 49, 1, p. 150-166 17 p.

Research output: Contribution to journalArticle

Completely Monotone
Lévy Measure
Lévy Process
Absolutely Continuous
Optimal Strategy
64 Downloads (Pure)

Percolation of even sites for random sequential adsorption

Penrose, M. D. & Rosoman, T., Apr 2012, In : Stochastic Processes and their Applications. 122, 4, p. 1866-1886 21 p.

Research output: Contribution to journalArticle

Open Access
File
Random Sequential Adsorption
Adsorption
Critical value
Strictly
7 Citations (Scopus)
83 Downloads (Pure)

Quantifying reversibility in a phase-separating lattice gas: An analogy with self-assembly

Grant, J. & Jack, R. L., 2012, In : Physical Review E. 85, 2, 021112.

Research output: Contribution to journalArticle

File
Reversibility
Lattice Gas
Self-assembly
Analogy
self assembly
35 Citations (Scopus)
77 Downloads (Pure)

Random pinning in glassy spin models with plaquette interactions

Jack, R. L. & Berthier, L., 2012, In : Physical Review E. 85, 2, 021120.

Research output: Contribution to journalArticle

File
Spin Models
Mode Coupling
Scaling Behavior
Interaction
Length Scale
1 Citation (Scopus)
61 Downloads (Pure)

Rate-independent processes with linear growth energies and time-dependent boundary conditions

Kruzik, M. & Zimmer, J., Jun 2012, In : Discrete and Continuous Dynamical Systems Series S. 5, 3, p. 591-604 14 p.

Research output: Contribution to journalArticle

File
Rate-independent Processes
Energy Density
Infinity
Boundary conditions
Evolution Problems
10 Citations (Scopus)
74 Downloads (Pure)

Self-similar voiding solutions of a single layered model of folding rocks

Dodwell, T. J., Peletier, M. A., Budd, C. J. & Hunt, G. W., 2012, In : SIAM Journal on Applied Mathematics. 72, 1, p. 444-463 20 p.

Research output: Contribution to journalArticle

Open Access
File
Self-similar Solutions
Voids
Folding
Rocks
Obstacle Problem
14 Citations (Scopus)
63 Downloads (Pure)

Spontaneous genetic clustering in populations of competing organisms

Rogers, T., McKane, A. J. & Rossberg, A. G., 2012, In : Physical Biology. 9, 6, 9 p., 066002.

Research output: Contribution to journalArticle

Open Access
File
Cluster Analysis
Noise
Demography
Population
16 Citations (Scopus)

Stochastic oscillations of adaptive networks: application to epidemic modelling

Rogers, T., Clifford-Brown, W., Mills, C. & Galla, T., Aug 2012, In : Journal of Statistical Mechanics-Theory and Experiment. 2012, August, 11 p., P08018.

Research output: Contribution to journalArticle

Oscillation
oscillations
Modeling
Epidemiological Model
Stochasticity
10 Citations (Scopus)
67 Downloads (Pure)

Supercritical super-Brownian motion with a general branching mechanism and travelling waves

Kyprianou, A. E., Liu, R. L., Murillo-Salas, A. & Ren, Y. X., Aug 2012, In : Annales de l'Institut Henri Poincaré: Probabilités et Statistiques. 48, 3, p. 661-687 27 p.

Research output: Contribution to journalArticle

File
Branching Brownian Motion
Super-Brownian Motion
Traveling Wave
Poincaré
Branching
21 Citations (Scopus)
81 Downloads (Pure)

The Milstein scheme for stochastic delay differential equations without using anticipative calculus

Shardlow, T. & Kloeden, P., 2012, In : Stochastic Analysis and Applications. 30, 2, p. 181-202 21 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Delay Differential Equations
Calculus
Differential equations
Order of Convergence
Error term
5 Citations (Scopus)
66 Downloads (Pure)

The unscaled paths of branching Brownian motion

Harris, S. C. & Roberts, M. I., May 2012, In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 48, 2, p. 579-608 30 p.

Research output: Contribution to journalArticle

Open Access
File
Branching Brownian Motion
Path
Large Deviation Probability
Rescaling
Brownian motion
12 Citations (Scopus)
76 Downloads (Pure)

Typical distances in ultrasmall random networks

Dereich, S., Mönch, C. & Morters, P., Jun 2012, In : Advances in Applied Probability. 44, 2, p. 583-601

Research output: Contribution to journalArticle

Open Access
File
Preferential Attachment
Random Networks
Power Law
Exponent
Giant Component
9 Citations (Scopus)
82 Downloads (Pure)

Upscaling from particle models to entropic gradient flows

Dirr, N., Laschos, V. & Zimmer, J., 2012, In : Journal of Mathematical Physics. 53, 6, 063704.

Research output: Contribution to journalArticle

Open Access
File
Upscaling
Gradient Flow
Asymptotically equivalent
Time Discretization
Real Line
2011
4 Citations (Scopus)
70 Downloads (Pure)
File
Self-similar Processes
Markov Process
Lévy Process
Fluctuations (theory)
Laplace
17 Citations (Scopus)

A comparison of models and methods for simulating the microwave heating of moist foodstuffs

Budd, C. J. & Hill, A. D. C., 31 Jan 2011, In : International Journal of Heat and Mass Transfer. 54, 4, p. 807-817 11 p.

Research output: Contribution to journalArticle

Microwave heating
Drying
Microwave ovens
Heating
microwaves
10 Citations (Scopus)
71 Downloads (Pure)

Ageing in the parabolic Anderson model

Morters, P., Ortgiese, M. & Sidorova, N., 2011, In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 47, 4, p. 969-1000 32 p.

Research output: Contribution to journalArticle

File
Anderson Model
Random Potential
Scaling Limit
Time Windows
Time Constant
9 Citations (Scopus)

A model of shape memory alloys taking into account plasticity

Kruizik, M. & Zimmer, J., Feb 2011, In : IMA Journal of Applied Mathematics. 76, 1, p. 193-216 24 p.

Research output: Contribution to journalArticle

Shape Memory
Shape memory effect
Plasticity
Dissipation
Plastics