Probability, Analysis and Dynamics

Research output

Research output per year 1982 2007 2008 2011 2012 2013 2015 2016 2017 2018 2019 2020 2021 2025

• 863 Article (Academic Journal)
• 57 Conference Contribution (Conference Proceeding)
• 29 Chapter in a book
• 10 Preprint
• 50 More
  • 9 Authored book
  • 9 Working paper
  • 6 Conference Paper
  • 5 Review article (Academic Journal)
  • 5 Web publication/site
  • 5 Other contribution
  • 4 Letter (Academic Journal)
  • 2 Edited book
  • 2 Comment/debate (Academic Journal)
  • 2 Editorial (Academic Journal)
  • 1 PhD thesis (not Bristol)

Research output per year

Research output per year

Search results

• 2025

  A matrix model of a non-Hermitian β -ensemble

  Mezzadri, F. & Taylor, H., 13 Jan 2025, In: Random Matrices: Theory and Applications . 14, 1, 2450027.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Eigenvalue 100%
  • Random Matrix 100%
  • Matrix 100%
  • Joint Probability Density Function 100%
  • Model Matrix 100%
  27 Downloads (Pure)

• Asymptotic dimension for covers with controlled growth

  Hume, D., Mackay, J. M. & Tessera, R., 1 Jan 2025, In: Journal of the London Mathematical Society. 111, 1, 36 p., e70043.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Dimension Asymptotics 100%
  • Regular Map 100%
  • Polynomial 25%
  • Free Group 25%

• Consensus in the weighted voter model with noise-free and noisy observations

  Ganesh, A. J., Hauert, S. & Valla, E., 6 May 2025, (E-pub ahead of print) In: Swarm Intelligence. 42 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Approximation (Algorithm) 100%
  • Collective Decision Making 100%
  • Noisy Observation 100%
  • Network Topology 100%
  • Regular Network 100%

• Consistency based approach to adjust for multiplicity in confirmatory subgroup analysis

  Deng, Q., Li, Q., Ting, N. & Yu, F., 11 Jun 2025, In: Statistics in Medicine. 44, 13-14, 10 p., e70154.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Treatment Effect 100%
  • Arbitrage 100%
  • Biological System 100%
  • Hypothesis Test 100%
  • Rejection Region 100%

• Extreme events for horocycle flows

  Marklof, J. & Pollicott, M., 14 Apr 2025, In: Nonlinearity. 38, 5, 055003.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Extreme Value 100%
  • Hitting Time 50%
  • Geodesic Flow 50%
  • Time Distribution 50%
  • Scaling Property 50%

• Geodesic trees in last passage percolation and some related problems

  Balazs, M., Basu, R. & Bhattacharjee, S., 24 Mar 2025, (Accepted/In press) In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 42 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Probability Theory 100%
  • Fixed Points 50%
  • Power Law 50%
  • Lower and upper bounds 50%
  • Exactly solvable models 50%

• Hidden Markov Neural Networks

  Rimella, L. & Whiteley, N., 5 Feb 2025, In: Entropy. 27, 2, p. 168 168.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Regularization 100%
  • Neural Network 100%
  • Hidden Markov Models 100%
  • Filtering Algorithm 50%
  • Uncertainty Quantification 50%

• LiMAP-curvature: a simple model-free approach for analysing dose-finding studies

  Han, L., Deng, Q., He, Z. & Yu, F., 12 Jun 2025, (Accepted/In press) In: New England Journal of Statistics in Data Science.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Simple Model 100%
  • Multiple Comparison Procedure 100%
  • Response Model 66%
  • Bayesian 33%
  • Bayesian Model 33%

• On functionals involving the p-capacity and the q-torsional rigidity

  van den Berg, M. & Gavitone, N., 30 Jun 2025, (Accepted/In press) In: Calculus of Variations and Partial Differential Equations. 20 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Homothety 100%
  • Nonempty Open Set 100%

• On localisation of eigenfunctions of the Laplace operator

  van den Berg, M. & Bucur, D., 16 May 2025, In: EMS Surveys in Mathematical Sciences. 12, 1, p. 1-25 25 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Polygonal Domain 100%
  11 Downloads (Pure)

• On some isoperimetric inequalities for the Newtonian capacity

  van den Berg, M., 1 Jun 2025, In: Communications in Contemporary Mathematics. 27, 5, 20 p., 2450027.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Upper Bound 100%
  • Convex Set 100%
  • Isoperimetric Inequality 100%
  • Mean Curvature 50%
  • Nonempty Interior 50%
  29 Downloads (Pure)

• Poissonian pair correlation for directions in multi-dimensional affine lattices and escape of mass estimates for embedded horospheres

  Kim, W. & Marklof, J., 1 Jan 2025, In: Ergodic Theory and Dynamical Systems. 45, 1, p. 218-246 29 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Lattices 100%
  • Horosphere 100%
  • Convergence in Distribution 50%
  • Lattice Point 50%
  • Path Length 50%

• Qualitative properties of the heat content

  van den Berg, M. & Gittins, K., 12 May 2025, (E-pub ahead of print) In: Bulletin of the London Mathematical Society. 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Initial Condition 100%
  • Euclidean Space 100%
  • Riemannian Manifolds 50%
  • Sufficient Condition 50%
  • Initial Temperature 50%

• Relative entropy bounds for sampling with and without replacement

  Johnson, O. T., Gavalakis, L. & Ioannis, K., 27 Feb 2025, (Accepted/In press) In: Journal of Applied Probability.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Relative Entropy 100%
  • De Finetti 50%
  • Asymptotics 25%
  • Convergence Rate 25%

• Road Layout in The KPZ Class

  Balazs, M., Bhattacharjee, S., Das, K. & Harper, D., 10 Jun 2025, In: Journal of Statistical Physics. 192, 6, 42 p., 83.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Stochastics 100%
  • Road Network 100%
  • Cost Saving 100%
  • Road Traffic 100%
  • Geodesics 100%

• Semi-Quenched Invariance Principle for the Random Lorentz Gas: Beyond the Boltzmann–Grad Limit

  Tóth, B., 8 Apr 2025, In: Entropy. 27, 4, 15 p., 397.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Lorentz Gas 100%
  • Realization 100%

• Statistical Exploration of the Manifold Hypothesis

  Whiteley, N., Gray, A. & Rubin-Delanchy, P., 12 Mar 2025, (Accepted/In press) In: Journal of the Royal Statistical Society: Series B.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Dimensional Data 100%
  • High Dimensional Data 100%
  • Statistical Method 100%
  • Artificial Intelligence 100%
  • Wide Range 50%
  187 Downloads (Pure)

• Weak Poincaré Inequalities for Markov chains: theory and applications

  Andrieu, C., Lee, A., Power, S. & Wang, A., 5 May 2025, (Accepted/In press) In: Annals of Applied Probability.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  File

  • Markov Chain 100%
  • Resolvent 50%
  • Counterexample 50%
  • target distribution π 50%
  • Random Walk 50%
  21 Downloads (Pure)
• 2024

  A billiard in an open circle and the Riemann zeta function

  Bunimovich, L. A. & Dettmann , C. P., 18 Nov 2024, (E-pub ahead of print) In: Experimental Mathematics. 25 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Circle 100%
  • Riemann Zeta Function 100%
  • Survival Probability 66%
  • Survival Rate 66%
  • L-Function 33%

• Algebraic tunings

  Dettmann , C. P. & Taylor-West, L., 24 Jul 2024, In: Journal of Mathematics and Music. 18, 2, p. 203-216 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Additive Property 100%
  • Golden Ratio 100%
  • Multiplicative Property 100%
  • Online Supplement 100%

• Explicit convergence bounds for Metropolis Markov chains: isoperimetry, spectral gaps and profiles

  Andrieu, C., Lee, A. W. L., Power, S. & Wang, A., 1 Aug 2024, In: Annals of Applied Probability. 34, 4, p. 4022-4071 50 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Markov Chain 100%
  • Variance 50%
  • Refines 50%
  • Invariant Distribution 50%
  • Isoperimetric Profile 50%
  6 Citations (Scopus)

  1 Downloads (Pure)

• Information-theoretic convergence of extreme values to the Gumbel distribution

  Johnson, O. T., 1 Mar 2024, In: Journal of Applied Probability. 61, 1, p. 244-254 11 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Extreme Value 100%
  • Gumbel Distribution 100%
  • Relative Entropy 66%
  1 Citation (Scopus)

  35 Downloads (Pure)

• Kronecker Sequences with Many Distances

  Dettmann , C. P., 14 Apr 2024, (E-pub ahead of print) In: Experimental Mathematics.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Numerical Example 100%
  • Nearest Neighbour 50%
  • Higher Dimensions 50%
  • Kissing Number 50%

• On the Torsion Function for Simply Connected, Open Sets in R²

  van den Berg, M. & Bucur, D., 23 Nov 2024, (E-pub ahead of print) In: Potential Analysis. 17 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Open Set 100%
  • Finite Measure 50%
  • Laplace Operator 50%

• Reduced energies for thin ferromagnetic films with perpendicular anisotropy

  Di Fratta, G., Muratov, C. B. & Slastikov, V. V., 1 Sept 2024, In: Mathematical Models and Methods in Applied Sciences. 34, 10, p. 1861-1904 44 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Ferromagnetic Film 100%
  • Anisotropy 100%
  • Film 100%
  • Perpendicular Magnetic Anisotropy 50%
  • Field Effect 50%
  3 Citations (Scopus)

• Rounded triangular billiards

  Dettmann , C. P., 24 Jul 2024, (Accepted/In press) In: Pure and Applied Functional Analysis.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Rounding 100%

• Small error algorithms for tropical group testing

  Paligadu, V., Johnson, O. T. & Aldridge, M. P., 1 Oct 2024, In: IEEE Transactions on Information Theory. 70, 10, p. 7232-7250 19 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Group tests 100%
  • Threshold Level 66%
  • Classical Group 33%
  • Probability Theory 33%
  • Testing Problem 33%
  1 Citation (Scopus)

  12 Downloads (Pure)

• Smallest denominators

  Marklof, J., 5 Jun 2024, In: Bulletin of the London Mathematical Society. 56, 6, p. 1920-1938 19 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Statistics 100%
  • Number Theory 100%
  • Rational Point 50%
  • Distance Function 50%
  • Distribution Function 50%
  4 Citations (Scopus)

• Spectral Convergence of the Dirac Operator on Typical Hyperbolic Surfaces of High Genus

  Monk, L. & Stan, R., 1 Jul 2024, In: Annales Henri Poincaré. p. 1-23 23 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Spin Structure 100%
  1 Citation (Scopus)

• Square roots and lattices

  Marklof, J., 13 Dec 2024, (Accepted/In press) In: L'Enseignement mathematique.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Lattices 100%
  • Square Root 100%
  • Square Lattice 100%
  • Set Point 66%
  • Random Point 33%

• Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime

  Di Fratta, G., Slastikov, V. V. & Zarnescu, A. D., Aug 2024, In: Nonlinear Analysis: Real World Applications. 78, 104076.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Harmonic Map 100%
  • Sufficient Condition 100%
  • Axial Symmetry 100%
  • Energy Functional 100%
  • Vector Field 50%

• Symmetrization for finitely dependent colouring

  Holroyd, A. E., 14 Aug 2024, (E-pub ahead of print) In: Electronic Communications in Probability. 29, 12 p., 44.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Integer 100%
  • Lattices 100%
  • Equivariant 100%
  • Isometry 100%
  • Symmetrization 100%
  2 Citations (Scopus)

• The infinite Viterbi alignment and decay-convexity

  Whiteley, N., Jones, M. W. & Domanski, A. P. F., 1 Feb 2024, In: Bernoulli. 30, 1, p. 252-277 26 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Illustrates 100%
  • Dimensional Problem 100%
  • Rate of Convergence 100%
  • Maximum a Posteriori 100%
  • Dimensional Hilbert Space 100%
  36 Downloads (Pure)

• The limit point in the Jante's law process has an absolutely continuous distribution

  Crane, E. T. & Volkov, S., 1 Feb 2024, In: Stochastic Processes and their Applications. 168, 26 p., 104252.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Limit Point 100%
  • Continuous Distribution 100%
  • Convex Body 50%
  • Proposition 50%
  • Stochastic Model 50%

• The log moments of smallest denominators

  Marklof, J., 19 Jun 2024, In: Integers. 24, 13 p., A55.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Explicit Formula 100%
  • Numerical Analysis 100%
  • One Dimension 100%
  • Random Center 100%
  3 Citations (Scopus)

  5 Downloads (Pure)

• The moduli space of twisted Laplacians and random matrix theory

  Marklof, J. & Monk, L., 29 Oct 2024, (E-pub ahead of print) In: International Mathematics Research Notices. rnae239.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Random Matrix Theory 100%
  • Laplace Operator 100%
  • Gaussian Distribution 75%
  • Variance 50%
  • Analogous Result 25%
• 2023

  Bayesian hierarchical model for dose-finding trial incorporating historical data

  Yu, F., Deng, Q., He, Z., Fleischer, F. & Han, L., 7 Sept 2023, (E-pub ahead of print) In: Journal of Biopharmaceutical Statistics.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Bayesian 100%
  • Historical Data 100%
  • Multiple Comparison Procedure 100%
  • Hierarchical Model 100%
  • Frequentist 33%

• Bounds for theta sums in higher rank. II

  Marklof, J. & Welsh, M. C., 22 Dec 2023, In: Journal d'Analyse Mathématique. 151, p. 235–264

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Upper Bound 100%
  • Quadratic Form 100%
  • Exponential Sums 100%
  • Linear Term 100%
  1 Citation (Scopus)

• Bounds for theta sums in higher rank I

  Marklof, J. & Welsh, M. C., 20 Mar 2023, In: Journal d'Analyse Mathématique. 150, 1, p. 325–358 34 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Upper Bound 100%
  • Quadratic Form 100%
  • Exponential Sums 100%
  • Homogeneous Space 100%
  • Theta Function 100%
  2 Citations (Scopus)

• Consistent and fast inference in compartmental models of epidemics using Poisson Approximate Likelihoods

  Whitehouse, M., Whiteley, N. & Rimella, L., 1 Sept 2023, In: Journal of the Royal Statistical Society: Series B. 85, 4, p. 1173-1203

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Approximates 100%
  • Stochastics 50%
  • Ordinary Differential Equation 25%
  • Overdispersion 25%
  • Computational Cost 25%
  7 Citations (Scopus)

  1 Downloads (Pure)

• Curved thin-film limits of chiral Dirichlet energies

  Di Fratta, G. & Slastikov, V., 1 Sept 2023, In: Nonlinear Analysis, Theory, Methods and Applications. 234, 113303.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Dimensional Submanifold 100%
  5 Citations (Scopus)

• Cyclic products and optimal traps in cyclic birth and death chains

  Holmes, M., Holroyd, A. E. & Ramírez, A., 30 Jun 2023, In: Electronic Journal of Combinatorics. 30, 2

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

• Estimating temporally variable selection intensity from ancient DNA data

  He, Z., Dai, X., Lyu, W., Beaumont, M. A. & Yu, F., 1 Mar 2023, In: Molecular Biology and Evolution. 40, 3, msad008.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Gene Frequency 100%
  • Selection Intensity 100%
  • Bayesian 100%
  • Statistical Hypothesis Testing 100%
  • Genetics 66%
  3 Citations (Scopus)

• Estimating temporally variable selection intensity from ancient DNA data with the flexibility of modelling linkage and epistasis

  Yu, F., He, Z., Dai, X., Lyu, W. & Beaumont, M. A., 1 Aug 2023, In: Molecular Ecology Resources. 23, 6, p. 1226-1240 15 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Gene Linkage 100%
  • Feature Selection 100%
  • Selection Process 100%
  • Metropolis-Hasting Algorithm 100%
  • Confounding Factor 100%
  23 Downloads (Pure)

• Fine-scale distribution of roots of quadratic congruences

  Marklof, J. & Welsh, M. C., 12 Oct 2023, In: Duke Mathematical Journal. 172, 12, p. 2303-2364 62 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Geometric Interpretation 100%
  • Hyperbolic Plane 100%
  • Distribution of Root 100%
  • Explicit Expression 100%
  2 Citations (Scopus)

  35 Downloads (Pure)

• Magnetic Skyrmions Under Confinement

  Monteil, A., Muratov, C. B., Simon, T. M. & Slastikov, V. V., 1 Dec 2023, In: Communications in Mathematical Physics. 404, 3, p. 1571-1605 35 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Boundary Condition 100%
  • Energy Transfer 100%
  • Perpendicular Magnetic Anisotropy 100%
  • Ferromagnetic Film 100%
  • Thin Films 100%
  3 Citations (Scopus)

• Maps between relatively hyperbolic spaces and between their boundaries

  Mackay, J. M. & Sisto, A., 19 Oct 2023, In: Transactions of the American Mathematical Society.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Hyperbolic Space 100%
  • Relatively hyperbolic groups 100%
  • Polynomial 50%
  1 Citation (Scopus)

  48 Downloads (Pure)

• On some variational problems involving capacity, torsional rigidity, perimeter and measure

  van den Berg, M. & Malchiodi, A., 1 Oct 2023, In: Advances in Calculus of Variations. 16 , 4, p. 961-974 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Variational Problem 100%
  • Rigidity 100%
  • Lebesgue Measure 100%
  • Convex Set 50%
  • Maximizer 50%
  2 Citations (Scopus)

• On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces

  Di Fratta, G., Fiorenza, A. & Slastikov, V., 1 May 2023, In: Mathematics In Engineering. 5, 3

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Cylindrical Surface 100%
  • Surface (Surface Science) 100%
  • Type Inequality 50%
  • Energy Functional 50%
  • Global Minimizer 50%
  4 Citations (Scopus)

• On the k nearest-neighbor path distance from the typical intersection in the Manhattan Poisson line Cox process

  Koufos, K., Dhillon, H. S., Dettmann , C. P. & Dainati, M., 1 Mar 2023, In: IEEE Transactions on Mobile Computing. 22, 3, 13 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Nearest Neighbour 100%
  • Cumulative Distribution Function 100%
  • Cox Process 100%
  • Nearest Neighbor 100%
  • Cumulative Distribution 100%
  7 Citations (Scopus)

  49 Downloads (Pure)