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Accelerating inference for stochastic kinetic models (2023)
Journal Article
Lowe, T., Golightly, A., & Sherlock, C. (2023). Accelerating inference for stochastic kinetic models. Computational Statistics & Data Analysis, 185, Article 107760. https://doi.org/10.1016/j.csda.2023.107760

Stochastic kinetic models (SKMs) are increasingly used to account for the inherent stochasticity exhibited by interacting populations of species in areas such as epidemiology, population ecology and systems biology. Species numbers are modelled using... Read More about Accelerating inference for stochastic kinetic models.

Parameterized Counting and Cayley Graph Expanders (2023)
Journal Article
Peyerimhoff, N., Roth, M., Schmitt, J., Stix, J., Vdovina, A., & Wellnitz, P. (2023). Parameterized Counting and Cayley Graph Expanders. SIAM Journal on Discrete Mathematics, 37(2), 405-486. https://doi.org/10.1137/22m1479804

Given a graph property \Phi , we consider the problem \# EdgeSub(\Phi ), where the input is a pair of a graph G and a positive integer k, and the task is to compute the number of k-edge subgraphs in G that satisfy \Phi . Specifically, we study the pa... Read More about Parameterized Counting and Cayley Graph Expanders.

Random Unitary Representations of Surface Groups II: The large n limit (2023)
Journal Article
Magee, M. (in press). Random Unitary Representations of Surface Groups II: The large n limit. Geometry & Topology,

Let Σg be a closed surface of genus g ≥ 2 and Γg denote the fundamental group of Σg. We establish a generalization of Voiculescu’s theorem on the asymptotic ∗-freeness of Haar unitary matrices from free groups to Γg. We prove that for a random repres... Read More about Random Unitary Representations of Surface Groups II: The large n limit.

Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs (2023)
Journal Article
Helmuth, T., Jenssen, M., & Perkins, W. (2023). Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 59(2), 817-848. https://doi.org/10.1214/22-aihp1263

For ∆ ≥ 5 and q large as a function of ∆, we give a detailed picture of the phase transition of the random cluster model on random ∆-regular graphs. In particular, we determine the limiting distribution of the weights of the ordered and disordered ph... Read More about Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs.

Computing Lagrangian means (2023)
Journal Article
Kafiabad, H. A., & Vanneste, J. (2023). Computing Lagrangian means. Journal of Fluid Mechanics, 960, Article A36. https://doi.org/10.1017/jfm.2023.228

Lagrangian averaging plays an important role in the analysis of wave–mean-flow interactions and other multiscale fluid phenomena. The numerical computation of Lagrangian means, e.g. from simulation data, is, however, challenging. Typical implementati... Read More about Computing Lagrangian means.

Supersphere non-linear sigma model on the lattice (2023)
Presentation / Conference Contribution
Costa, I., Forini, V., Hoare, B., Meier, T., Patella, A., & Weber, J. H. (2023). Supersphere non-linear sigma model on the lattice. . https://doi.org/10.22323/1.430.0367

Two-dimensional O(N) non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the supersphere~SN... Read More about Supersphere non-linear sigma model on the lattice.

Exhange graphs for mutation-finite non-integer quivers (2023)
Journal Article
Felikson, A., & Lampe, P. (2023). Exhange graphs for mutation-finite non-integer quivers. Journal of Geometry and Physics, 188, Article 104811. https://doi.org/10.1016/j.geomphys.2023.104811

Skew-symmetric non-integer matrices with real entries can be viewed as quivers with noninteger arrow weights. Such quivers can be mutated following the usual rules of quiver mutation. Felikson and Tumarkin show that mutation-finite non-integer quiver... Read More about Exhange graphs for mutation-finite non-integer quivers.

On the domino shuffle and matrix refactorizations (2023)
Journal Article
Chhita, S., & Duits, M. (2023). On the domino shuffle and matrix refactorizations. Communications in Mathematical Physics, 401(2), 1417-1467. https://doi.org/10.1007/s00220-023-04676-y

This paper is motivated by computing correlations for domino tilings of the Aztec diamond. It is inspired by two of the three distinct methods that have recently been used in the simplest case of a doubly periodic weighting, that is, the two-periodic... Read More about On the domino shuffle and matrix refactorizations.

Bi-η and bi-λ deformations of ℤ4 permutation supercosets (2023)
Journal Article
Hoare, B., Levine, N., & Seibold, F. K. (2023). Bi-η and bi-λ deformations of ℤ4 permutation supercosets. Journal of High Energy Physics, 2023(4), Article 24. https://doi.org/10.1007/jhep04%282023%29024

Integrable string sigma models on AdS3 backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the deformation theory of these models is particularly rich since the two super... Read More about Bi-η and bi-λ deformations of ℤ4 permutation supercosets.

One-loop inelastic amplitudes from tree-level elasticity in 2d (2023)
Journal Article
Polvara, D. (2023). One-loop inelastic amplitudes from tree-level elasticity in 2d. Journal of High Energy Physics, 2023(4), Article 20. https://doi.org/10.1007/jhep04%282023%29020

We investigate the perturbative integrability of different quantum field theories in 1+1 dimensions at one loop. Starting from massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level, we derive... Read More about One-loop inelastic amplitudes from tree-level elasticity in 2d.

Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems (2023)
Journal Article
Gaffney, E. A., Krause, A. L., Maini, P. K., & Wang, C. (2023). Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems. Discrete and Continuous Dynamical Systems - Series B, 28(12), 6092-6125. https://doi.org/10.3934/dcdsb.2023053

Motivated by bacterial chemotaxis and multi-species ecological interactions in heterogeneous environments, we study a general one-dimensional reaction-cross-diffusion system in the presence of spatial heterogeneity in both transport and reaction term... Read More about Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems.

Algebraicity of L-values attached to Quaternionic Modular Forms (2023)
Journal Article
Bouganis, A., & Jin, Y. (2023). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, https://doi.org/10.4153/s0008414x23000184

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric sp... Read More about Algebraicity of L-values attached to Quaternionic Modular Forms.

Cluster algebras of finite mutation type with coefficients (2023)
Journal Article
Felikson, A., & Tumarkin, P. (in press). Cluster algebras of finite mutation type with coefficients. Journal of combinatorial algebra,

We classify mutation-finite cluster algebras with arbitrary coefficients of geometric type. This completes the classification of all mutation-finite cluster algebras started in [FeSTu1].

Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model (2023)
Journal Article
Wadkin, L. E., Golightly, A., Branson, J., Hoppit, A., Parker, N. G., & Baggaley, A. W. (2023). Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model. Diversity, 15(4), Article 496. https://doi.org/10.3390/d15040496

Invasive woodland pests have substantial ecological, economic, and social impacts, harming biodiversity and ecosystem services. Mathematical modelling informed by Bayesian inference can deepen our understanding of the fundamental behaviours of invasi... Read More about Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model.

Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions (2023)
Journal Article
Bar-Lev, S. K., Batsidis, A., Einbeck, J., Liu, X., & Ren, P. (2023). Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions. Mathematics, 11(7), Article 1603. https://doi.org/10.3390/math11071603

The class of natural exponential families (NEFs) of distributions having power variance functions (NEF-PVFs) is huge (uncountable), with enormous applications in various fields. Based on a characterization property that holds for the cumulants of the... Read More about Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions.

Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms (2023)
Journal Article
Straughan, B. (2023). Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms. Applied Mathematics and Optimization, 87(54), Article 54. https://doi.org/10.1007/s00245-023-09964-6

We present models for convection in a mixture of viscous fluids when the layer is heated from below and simultaneously the pointwise volume concentration of one of the fluids is heavier below. This configuration produces a problem of competitive doub... Read More about Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms.