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Islands and mixed states in closed universes (2021)
Journal Article
Fallows, S., & Ross, S. F. (2021). Islands and mixed states in closed universes. Journal of High Energy Physics, 2021(7), Article 22. https://doi.org/10.1007/jhep07%282021%29022

We investigate the appearance of islands when a closed universe with gravity is entangled with a non-gravitating quantum system. We use braneworlds in three-dimensional multiboundary wormhole geometries as a model to explore what happens when the non... Read More about Islands and mixed states in closed universes.

Supersymmetric solitons and a degeneracy of solutions in AdS/CFT (2021)
Journal Article
Anabalón, A., & Ross, S. F. (2021). Supersymmetric solitons and a degeneracy of solutions in AdS/CFT. Journal of High Energy Physics, 2021(7), https://doi.org/10.1007/jhep07%282021%29015

We study Lorentzian supersymmetric configurations in D = 4 and D = 5 gauged N = 2 supergravity. We show that there are smooth 1/2 BPS solutions which are asymptotically AdS4 and AdS5 with a planar boundary, a compact spacelike direction and with a Wi... Read More about Supersymmetric solitons and a degeneracy of solutions in AdS/CFT.

Two Classes of Eruptive Events During Solar Minimum (2021)
Journal Article
Bhowmik, P., & Yeates, A. (2021). Two Classes of Eruptive Events During Solar Minimum. Solar Physics, 296(7), Article 109. https://doi.org/10.1007/s11207-021-01845-x

During solar minimum, the Sun is relatively inactive with few sunspots observed on the solar surface. Consequently, we observe a smaller number of highly energetic events such as solar flares or coronal mass ejections (CMEs), which are often associat... Read More about Two Classes of Eruptive Events During Solar Minimum.

Aperiodicity, rotational tiling spaces and topological space groups (2021)
Journal Article
Hunton, J., & Walton, J. (2021). Aperiodicity, rotational tiling spaces and topological space groups. Advances in Mathematics, 388, Article 107855. https://doi.org/10.1016/j.aim.2021.107855

We study the rotational structures of aperiodic tilings in Euclidean space of arbitrary dimension using topological methods. Classical topological approaches to the study of aperiodic patterns have largely concentrated just on translational structure... Read More about Aperiodicity, rotational tiling spaces and topological space groups.

COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex (2021)
Journal Article
Feng, J., Hsu, W., Patterson, D., Tseng, C., Hsing, H., Zhuang, Z., …Chou, S. (2021). COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex. Science Advances, 7(27), Article eabf6808. https://doi.org/10.1126/sciadv.abf6808

Development of cortical regions with precise, sharp, and regular boundaries is essential for physiological function. However, little is known of the mechanisms ensuring these features. Here, we show that determination of the boundary between neocorte... Read More about COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex.

Ergodic Numerical Approximation to Periodic Measures of Stochastic Differential Equations (2021)
Journal Article
Feng, C., Liu, Y., & Zhao, H. (2021). Ergodic Numerical Approximation to Periodic Measures of Stochastic Differential Equations. Journal of Computational and Applied Mathematics, 398, Article 113701. https://doi.org/10.1016/j.cam.2021.113701

In this paper, we consider numerical approximation to periodic measure of a time periodic stochastic differential equations (SDEs) under weakly dissipative condition. For this we first study the existence of the periodic measure ρt and the large time... Read More about Ergodic Numerical Approximation to Periodic Measures of Stochastic Differential Equations.

On functional equations for Nielsen polylogarithms (2021)
Journal Article
Charlton, S., Gangl, H., & Radchenko, D. (2021). On functional equations for Nielsen polylogarithms. Communications in Number Theory and Physics, 15(2), 363-454. https://doi.org/10.4310/cntp.2021.v15.n2.a4

We derive new functional equations for Nielsen polylogarithms. We show that, when viewed moduloLi5 and products of lower weight functions, the weight 5 Nielsen polylogarithm S3,2 satisfies the dilogarithm five-term relation. We also give some functio... Read More about On functional equations for Nielsen polylogarithms.

Stability of the cut locus and a Central Limit Theorem for Fréchet means of Riemannian manifolds (2021)
Journal Article
Eltzner, B., Galaz-García, F., Huckemann, S. F., & Tuschmann, W. (2021). Stability of the cut locus and a Central Limit Theorem for Fréchet means of Riemannian manifolds. Proceedings of the American Mathematical Society, 149(9), 3947-3963. https://doi.org/10.1090/proc/15429

We obtain a central limit theorem for closed Riemannian manifolds, clarifying along the way the geometric meaning of some of the hypotheses in Bhattacharya and Lin’s Omnibus central limit theorem for Fréchet means. We obtain our CLT assuming certain... Read More about Stability of the cut locus and a Central Limit Theorem for Fréchet means of Riemannian manifolds.

Regularization and variable selection in Heckman selection model (2021)
Journal Article
Ogundimu, E. O. (2022). Regularization and variable selection in Heckman selection model. Statistical Papers, 63(2), 421-439. https://doi.org/10.1007/s00362-021-01246-z

Sample selection arises when the outcome of interest is partially observed in a study. A common challenge is the requirement for exclusion restrictions. That is, some of the covariates affecting missingness mechanism do not affect the outcome. The dr... Read More about Regularization and variable selection in Heckman selection model.

Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach (2021)
Journal Article
Xu, L., Patterson, D., Staver, A. C., Levin, S. A., & Wang, J. (2021). Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach. Proceedings of the National Academy of Sciences, 118(24), Article e2103779118. https://doi.org/10.1073/pnas.2103779118

The frequency distributions can characterize the population-potential landscape related to the stability of ecological states. We illustrate the practical utility of this approach by analyzing a forest–savanna model. Savanna and forest states coexist... Read More about Unifying deterministic and stochastic ecological dynamics via a landscape-flux approach.

Effects of maternal mental health on prenatal movement profiles in twins and singletons (2021)
Journal Article
Reissland, N., Einbeck, J., Wood, R., & Lane, A. (2021). Effects of maternal mental health on prenatal movement profiles in twins and singletons. Acta Paediatrica: Nurturing the Child, 110(9), 2553-2558. https://doi.org/10.1111/apa.15903

Aim: Prenatal experiences, including maternal stress, depression and anxiety, form crucial building blocks affecting the maturation of the fetal central nervous system. Previous research has examined fetal movements without considering effects of mat... Read More about Effects of maternal mental health on prenatal movement profiles in twins and singletons.

Incoherent hydrodynamics of density waves in magnetic fields (2021)
Journal Article
Donos, A., Pantelidou, C., & Ziogas, V. (2021). Incoherent hydrodynamics of density waves in magnetic fields. Journal of High Energy Physics, 2021(5), Article 270. https://doi.org/10.1007/jhep05%282021%29270

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations. We analytic... Read More about Incoherent hydrodynamics of density waves in magnetic fields.

Factorised 3d $$ \mathcal{N} $$ = 4 orthosymplectic quivers (2021)
Journal Article
Akhond, M., Carta, F., Dwivedi, S., Hayashi, H., Kim, S., & Yagi, F. (2021). Factorised 3d $$ \mathcal{N} $$ = 4 orthosymplectic quivers. Journal of High Energy Physics, 2021(5), Article 269. https://doi.org/10.1007/jhep05%282021%29269

We study the moduli space of 3d N = 4 quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise into decoupled secto... Read More about Factorised 3d $$ \mathcal{N} $$ = 4 orthosymplectic quivers.

Gopakumar-Vafa hierarchies in winding inflation and uplifts (2021)
Journal Article
Carta, F., Mininno, A., Righi, N., & Westphal, A. (2021). Gopakumar-Vafa hierarchies in winding inflation and uplifts. Journal of High Energy Physics, 2021(5), Article 271. https://doi.org/10.1007/jhep05%282021%29271

We propose a combined mechanism to realize both winding inflation and de Sitter uplifts. We realize the necessary structure of competing terms in the scalar potential not via tuning the vacuum expectation values of the complex structure moduli, but b... Read More about Gopakumar-Vafa hierarchies in winding inflation and uplifts.

Robust filtering and propagation of uncertainty in hidden Markov models (2021)
Journal Article
Allan, A. L. (2021). Robust filtering and propagation of uncertainty in hidden Markov models. Electronic Journal of Probability, 26, 1-37. https://doi.org/10.1214/21-ejp633

We consider the filtering of continuous-time finite-state hidden Markov models, where the rate and observation matrices depend on unknown time-dependent parameters, for which no prior or stochastic model is available. We quantify and analyze how the... Read More about Robust filtering and propagation of uncertainty in hidden Markov models.

Global strong solutions in R3 for ionic Vlasov-Poisson systems (2021)
Journal Article
Griffin-Pickering, M., & Iacobelli, M. (2021). Global strong solutions in R3 for ionic Vlasov-Poisson systems. Kinetic and Related Models, 14(4), 571-597. https://doi.org/10.3934/krm.2021016

Systems of Vlasov-Poisson type are kinetic models describing dilute plasma. The structure of the model differs according to whether it describes the electrons or positively charged ions in the plasma. In contrast to the electron case, where the well-... Read More about Global strong solutions in R3 for ionic Vlasov-Poisson systems.

Hyperbolic tessellations and generators of for imaginary quadratic fields (2021)
Journal Article
Burns, D., de Jeu, R., Gangl, H., Rahm, A. D., & Yasaki, D. (2021). Hyperbolic tessellations and generators of for imaginary quadratic fields. Forum of Mathematics, Sigma, 9, Article e40. https://doi.org/10.1017/fms.2021.9

We develop methods for constructing explicit generators, modulo torsion, of the K3 -groups of imaginary quadratic number fields. These methods are based on either tessellations of hyperbolic 3 -space or on direct calculations in suitable pre-Bloch gr... Read More about Hyperbolic tessellations and generators of for imaginary quadratic fields.