Outputs (115)

Phase-field gradient theory (2021)
Journal Article
Espath, L., & Calo, V. (2021). Phase-field gradient theory. Zeitschrift für Angewandte Mathematik und Physik, 72(2), Article 45. https://doi.org/10.1007/s00033-020-01441-2

We propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, microtorques, and mass. We focus on materials where second gradients of the... Read More about Phase-field gradient theory.

Survival Regression Models With Dependent Bayesian Nonparametric Priors (2021)
Journal Article
Riva-Palacio, A., Leisen, F., & Griffin, J. (2022). Survival Regression Models With Dependent Bayesian Nonparametric Priors. Journal of the American Statistical Association, 117(539), 1530-1539. https://doi.org/10.1080/01621459.2020.1864381

We present a novel Bayesian nonparametric model for regression in survival analysis. Our model builds on the classical neutral to the right model of Doksum and on the Cox proportional hazards model of Kim and Lee. The use of a vector of dependent Bay... Read More about Survival Regression Models With Dependent Bayesian Nonparametric Priors.

Which sequences are orbits? (2021)
Journal Article
A. Nicks, D., & J. Sixsmith, D. (2021). Which sequences are orbits?. Analysis and Mathematical Physics, 11(2), Article 53. https://doi.org/10.1007/s13324-021-00493-5

In the study of discrete dynamical systems, we typically start with a function from a space into itself, and ask questions about the properties of sequences of iterates of the function. In this paper we reverse the direction of this study. In particu... Read More about Which sequences are orbits?.

Bayesian inversion algorithm for estimating local variations in permeability and porosity of reinforcements using experimental data (2021)
Journal Article
Matveev, M., Endruweit, A., Long, A., Iglesias, M., & Tretyakov, M. (2021). Bayesian inversion algorithm for estimating local variations in permeability and porosity of reinforcements using experimental data. Composites Part A: Applied Science and Manufacturing, 143, Article 106323. https://doi.org/10.1016/j.compositesa.2021.106323

Semi-infinite travelling waves arising in a general reaction–diffusion Stefan model (2021)
Journal Article
Fadai, N. T. (2021). Semi-infinite travelling waves arising in a general reaction–diffusion Stefan model. Nonlinearity, 34(2), 725-743. https://doi.org/10.1088/1361-6544/abd07b

Stochastic fractal and Noether's theorem (2021)
Journal Article
Rahman, R., Nowrin, F., Rahman, M. S., Wattis, J. A. D., & Hassan, M. K. (2021). Stochastic fractal and Noether's theorem. Physical Review E, 103(2), Article 022106. https://doi.org/10.1103/physreve.103.022106

We consider the binary fragmentation problem in which, at any breakup event, one of the daughter segments either survives with probability p or disappears with probability 1 − p. It describes a stochastic dyadic Cantor set that evolves in time, and e... Read More about Stochastic fractal and Noether's theorem.

Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods (2021)
Journal Article
Zhang, K., Orlando, A., & Crooks, E. (2021). Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods. Applied Mathematical Modelling, 94, 688-720. https://doi.org/10.1016/j.apm.2021.01.040

Compensated convex transforms have been introduced for extended real valued functions defined over Rn. In their application to image processing, interpolation and shape interrogation, where one deals with functions defined over a bounded domain, one... Read More about Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods.

Direct observation of long chain enrichment in flow-induced nuclei from molecular dynamics simulations of bimodal blends (2021)
Journal Article
Anwar, M., & Graham, R. S. (2021). Direct observation of long chain enrichment in flow-induced nuclei from molecular dynamics simulations of bimodal blends. Soft Matter, 2021(10), 2872-2882. https://doi.org/10.1039/d0sm01361g

Modelling of flow-induced nucleation in polymers suggest that long chains are enriched in nuclei, relative to their melt concentration. This enrichment has important consequences for the nucle-ation rate and mechanism, but cannot be directly observed... Read More about Direct observation of long chain enrichment in flow-induced nuclei from molecular dynamics simulations of bimodal blends.

Factorization in commutative Banach algebras (2021)
Journal Article
Dales, H. G., Feinstein, J. F., & Pham, H. L. (2021). Factorization in commutative Banach algebras. Studia Mathematica, 259, 79-120. https://doi.org/10.4064/sm191216-22-7

Let A be a (non-unital) commutative Banach algebra. We consider when A has a variety of factorization properties: we list the (ob-vious) implications between these properties, and then consider whether any of these implications can be reversed in var... Read More about Factorization in commutative Banach algebras.

SO(9) characterization of the standard model gauge group (2021)
Journal Article
Krasnov, K. (2021). SO(9) characterization of the standard model gauge group. Journal of Mathematical Physics, 62(2), Article 021703. https://doi.org/10.1063/5.0039941

A recent series of works characterized the Standard Model (SM) gauge group GSM as the subgroup of SO(9) that, in the octonionic model of the latter, preserves the split O=C⊕C3 of the space of octonions into a copy of the complex plane plus the rest.... Read More about SO(9) characterization of the standard model gauge group.