All Outputs (65)

Sampling from mixture distributions based on regime-switching diffusions (2025)
Journal Article
Tretyakov, M. V. (2025). Sampling from mixture distributions based on regime-switching diffusions. SIAM Journal on Scientific Computing, 47(3), A1681-A1701. https://doi.org/10.1137/24M1677113

It is proposed to use stochastic differential equations with state-dependent switching 4 rates (SDEwS) for sampling from finite mixture distributions. An Euler scheme with constant time 5 step for SDEwS is considered. It is shown that the scheme conv... Read More about Sampling from mixture distributions based on regime-switching diffusions.

Precise spike-timing information in the brainstem is well aligned with the needs of communication and the perception of environmental sounds (2025)
Journal Article
Scholes, C., Coombes, S., Palmer, A. R., Rhode, W. S., Mill, R., & Sumner, C. J. (2025). Precise spike-timing information in the brainstem is well aligned with the needs of communication and the perception of environmental sounds. PLoS Biology, 23(6), Article e3003213. https://doi.org/10.1371/journal.pbio.3003213

The dynamic fluctuations in the amplitude of sound, known as sound envelopes, are ubiquitous in natural sounds and convey information critical for the recognition of speech, and of sounds generally. We are perceptually most sensitive to slow modulati... Read More about Precise spike-timing information in the brainstem is well aligned with the needs of communication and the perception of environmental sounds.

Reflective centers of module categories and quantum K-matrices (2025)
Journal Article
Laugwitz, R., Walton, C., & Yakimov, M. (2025). Reflective centers of module categories and quantum K-matrices. Forum of Mathematics, Sigma, 13, Article e95. https://doi.org/10.1017/fms.2025.10055

Our work is motivated by obtaining solutions to the quantum reflection equation (qRE) by categorical methods. To start, given a braided monoidal category C and C-module category M, we introduce a version of the Drinfeld center ZpCq of C adapted for M... Read More about Reflective centers of module categories and quantum K-matrices.

Nondiffracting resonant angular filter (2025)
Journal Article
Lawrie, T. M., Tanner, G., & Chaplain, G. J. (2025). Nondiffracting resonant angular filter. Physical Review Research, 7(2), Article 023209. https://doi.org/10.1103/PhysRevResearch.7.023209

We conceptualize and numerically simulate a resonant metamaterial interface incorporating nonlocal, or beyond-nearest-neighbor, coupling that acts as a discrete angular filter. It can be designed to yield perfect transmission at customizable angles o... Read More about Nondiffracting resonant angular filter.

Ergodiscord: An Operational and Distinct Notion of Quantumness of Correlations (2025)
Journal Article
Alimuddin, M., Chowdhury, S. R., Patra, R. K., Ghosh, S. B., Tufarelli, T., Adesso, G., & Banik, M. (2025). Ergodiscord: An Operational and Distinct Notion of Quantumness of Correlations. Physical Review Research, 7, Article 023200. https://doi.org/10.1103/PhysRevResearch.7.023200

Nonclassicality in composite quantum systems depicts several puzzling manifestations, with Einstein-PodolskyRosen entanglement, Schrödinger steering, and Bell nonlocality being the most celebrated ones. In addition to those, an unentangled quantum st... Read More about Ergodiscord: An Operational and Distinct Notion of Quantumness of Correlations.

Implications of stochastic gas torques for asymmetric binaries in the LISA band (2025)
Journal Article
Copparoni, L., Barausse, E., Speri, L., Sberna, L., & Derdzinski, A. (2025). Implications of stochastic gas torques for asymmetric binaries in the LISA band. Physical Review D, 111(10), Article 104079. https://doi.org/10.1103/physrevd.111.104079

Gravitational waves from asymmetric mass-ratio black-hole binaries carry unique information about their astrophysical environment. For instance, the Laser Interferometer Space Antenna (LISA) could potentially measure the amplitude and slope of gas to... Read More about Implications of stochastic gas torques for asymmetric binaries in the LISA band.

INTERPOLATING QUASIREGULAR POWER MAPPINGS (2025)
Journal Article
Burkart, J., Fletcher, A. N., & Nicks, D. A. (in press). INTERPOLATING QUASIREGULAR POWER MAPPINGS. Transactions of the American Mathematical Society,

We construct a quasiregular mapping in R 3 that is the first to illustrate several important dynamical properties: the quasi-Fatou set contains wandering components; these quasi-Fatou components are bounded and hollow; and the Julia set has component... Read More about INTERPOLATING QUASIREGULAR POWER MAPPINGS.

Taylor Dispersion in Osmotically Driven Flows with Solute Leakage (2025)
Journal Article
Jepson, J. M., & Band, L. R. (in press). Taylor Dispersion in Osmotically Driven Flows with Solute Leakage. Physics of Fluids,

The phloem facilitates the transport of solute from mature leaves throughout the plant for growth and maintenance. Solute is loaded into the phloem, which drives water influx via osmosis, thereby increasing the phloem pressure. The resulting pressure... Read More about Taylor Dispersion in Osmotically Driven Flows with Solute Leakage.

On the bending problem of a polar linearly elastic cantilever (2025)
Journal Article
Soldatos, K. P. (in press). On the bending problem of a polar linearly elastic cantilever. Mechanics Research Communications,

This communication aims to initiate an investigation regarding the linearly elastic bending response of a cantilevered bar that exhibits features of polar material behaviour, while it may also be influenced by anisotropy features that are due to fibr... Read More about On the bending problem of a polar linearly elastic cantilever.

Mathematical modelling of carbohydrate and protein metabolism in muscle (2025)
Journal Article
Alharbi, B. M., Williams, H. E., Parr, T., Brameld, J. M., Fallaize, C., & Wattis, J. A. (2025). Mathematical modelling of carbohydrate and protein metabolism in muscle. Mathematical Biosciences, 386, Article 109455. https://doi.org/10.1016/j.mbs.2025.109455

We propose a mathematical model based on coupled ordinary differential equations (ODEs) for metabolite concentrations with the aim of investigating how modifications to the rates affects outputs from a regulatory network. Our aim is to model the rela... Read More about Mathematical modelling of carbohydrate and protein metabolism in muscle.

Quantum Processes as Thermodynamic Resources: The Role of Non-Markovianity (2025)
Journal Article
Zambon, G., & Adesso, G. (2025). Quantum Processes as Thermodynamic Resources: The Role of Non-Markovianity. Physical Review Letters, 134(20), Article 200401. https://doi.org/10.1103/PhysRevLett.134.200401

Quantum thermodynamics studies how quantum systems and operations may be exploited as sources of work to perform useful thermodynamic tasks. In real-world conditions, the evolution of open quantum systems typically displays memory effects, resulting... Read More about Quantum Processes as Thermodynamic Resources: The Role of Non-Markovianity.

Computer-aided analysis of high-dimensional Glass networks: periodicity, chaos, and bifurcations in a ring circuit (2025)
Journal Article
Belgacem, I., Edwards, R., & Farcot, E. (2025). Computer-aided analysis of high-dimensional Glass networks: periodicity, chaos, and bifurcations in a ring circuit. Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(5), Article 053151. https://doi.org/10.1063/5.0243955

Glass networks model systems of variables that interact via sharp switching. A body of theory has been developed over several decades that, in principle, allows rigorous proof of dynamical properties in high dimensions that is not normally feasible i... Read More about Computer-aided analysis of high-dimensional Glass networks: periodicity, chaos, and bifurcations in a ring circuit.

Well-posedness and approximation of reflected McKean-Vlasov SDEs with applications (2025)
Journal Article
Hinds, P. D., Sharma, A., & Tretyakov, M. V. (2025). Well-posedness and approximation of reflected McKean-Vlasov SDEs with applications. Mathematical Models and Methods in Applied Sciences, 35(8), 1845-1887. https://doi.org/10.1142/S0218202525500241

In this paper, we establish well-posedness of reflected McKean-Vlasov SDEs and their particle approximations in smooth non-convex domains. We prove convergence of the interacting particle system to the corresponding mean-field limit with the optimal... Read More about Well-posedness and approximation of reflected McKean-Vlasov SDEs with applications.

Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers (2025)
Journal Article
Flake, J., Laugwitz, R., & Posur, S. (2025). Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers. Advances in Mathematics, 475, Article 110344. https://doi.org/10.1016/j.aim.2025.110344

We identify general conditions, formulated using the projection formula morphisms, for a functor that is simultaneously left and right adjoint to a strong monoidal functor to be a Frobenius monoidal functor. Moreover, we identify stronger conditions... Read More about Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers.

Touchdown-singularity formation and criticality in the thin-film equation (2025)
Journal Article
King, J. R., & Bowen, M. (2025). Touchdown-singularity formation and criticality in the thin-film equation. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2296), Article 20230375. https://doi.org/10.1098/rsta.2023.0375

The thin-film equation, ht = −(h n hxxx)x, is significant physically in the description of surface-tension-driven flows of thin films of viscous liquids and has served an important role mathematically in elucidating the properties and challenges of h... Read More about Touchdown-singularity formation and criticality in the thin-film equation.

On K-moduli of quartic threefolds (2025)
Journal Article
Abban, H., Cheltsov, I., Kasprzyk, A., Liu, Y., & Petracci, A. (2025). On K-moduli of quartic threefolds. Algebraic Geometry, 12(3), 382-417. https://doi.org/10.14231/AG-2025-011

The family of smooth Fano 3-folds with Picard rank 1 and anticanonical volume 4 consists of quartic 3-folds and of double covers of the 3-dimensional quadric branched along an octic surface. They can all be parametrised as complete intersections of a... Read More about On K-moduli of quartic threefolds.

Sampling and Estimation on Manifolds using the Langevin Diffusion (2025)
Journal Article
Bharath, K., Lewis, A., Sharma, A., & Tretyakov, M. V. (2025). Sampling and Estimation on Manifolds using the Langevin Diffusion. Journal of Machine Learning Research, 26, 1-50

Error bounds are derived for sampling and estimation using a discretization of an intrin-sically defined Langevin diffusion with invariant measure dµ ϕ ∝ e −ϕ dvol g on a compact Riemannian manifold. Two estimators of linear functionals of µ ϕ based... Read More about Sampling and Estimation on Manifolds using the Langevin Diffusion.

On p-refined Friedberg–Jacquet integrals and the classical symplectic locus in the GL 2n eigenvariety (2025)
Journal Article
Barrera Salazar, D., Graham, A., & Williams, C. (2025). On p-refined Friedberg–Jacquet integrals and the classical symplectic locus in the GL 2n eigenvariety. Research in Number Theory, 11(2), Article 51. https://doi.org/10.1007/s40993-025-00631-z

Friedberg–Jacquet proved that if π is a cuspidal automorphic representation of GL2n(A), then π is a functorial transfer from GSpin2n+1 if and only if a global zeta integral ZH over H=GLn×GLn is non-vanishing on π. We conjecture a p-refined analogue:... Read More about On p-refined Friedberg–Jacquet integrals and the classical symplectic locus in the GL 2n eigenvariety.

CRAC channel activity pulsates during cytosolic Ca2+ oscillations (2025)
Journal Article
Lin, Y.-P., Scappini, E., Mirams, G. R., Tucker, C. J., & Parekh, A. B. (2025). CRAC channel activity pulsates during cytosolic Ca2+ oscillations. Journal of Biological Chemistry, 301(6), Article 108519. https://doi.org/10.1016/j.jbc.2025.108519

Intracellular Ca2+ ions are used as second messengers throughout the phylogenetic tree. They are indispensable for diverse biological processes ranging from fertilization to cell death. In Metazoans, signaling information is conveyed via the amplitud... Read More about CRAC channel activity pulsates during cytosolic Ca2+ oscillations.

Using Mathematical Models of Heart Cells to Assess the Safety of New Pharmaceutical Drugs (2025)
Book Chapter
Mirams, G. R. (2025). Using Mathematical Models of Heart Cells to Assess the Safety of New Pharmaceutical Drugs. In P. J. Aston (Ed.), More UK Success Stories in Industrial Mathematics (171-177). Springer. https://doi.org/10.1007/978-3-031-48683-8_22

Many drugs have been withdrawn from the market worldwide, at a cost of billions of dollars, because of patient fatalities due to drugs unexpectedly disturbing heart rhythm. Even drugs for ailments as mild as hay fever have been withdrawn due to an un... Read More about Using Mathematical Models of Heart Cells to Assess the Safety of New Pharmaceutical Drugs.