Outputs (212)

Pattern-equivariant homology (2017)
Journal Article
Walton, J. (2017). Pattern-equivariant homology. Algebraic & geometric topology, 17(3), 1323-1373. https://doi.org/10.2140/agt.2017.17.1323

Pattern-equivariant (PE) cohomology is a well-established tool with which to interpret the Čech cohomology groups of a tiling space in a highly geometric way. We consider homology groups of PE infinite chains and establish Poincaré duality between th... Read More about Pattern-equivariant homology.

Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings (2017)
Journal Article
Canakci, I., & Schiffler, R. (2019). Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings. International Mathematics Research Notices, 2019(4), 1145-1226. https://doi.org/10.1093/imrn/rnx157

We introduce several commutative rings, the snake rings, that have strong connections to cluster algebras and that are interesting on their own right as combinatorially defined rings. The elements of these rings are residue classes of unions of certa... Read More about Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings.

The algebraisation of higher Deligne–Lusztig representations (2017)
Journal Article
Chen, Z., & Stasinski, A. (2017). The algebraisation of higher Deligne–Lusztig representations. Selecta Mathematica (New Series), 23(4), 2907-2926. https://doi.org/10.1007/s00029-017-0349-z

In this paper we study higher Deligne–Lusztig representations of reductive groups over finite quotients of discrete valuation rings. At even levels, we show that these geometrically constructed representations, defined by Lusztig, coincide with certa... Read More about The algebraisation of higher Deligne–Lusztig representations.

On the expected diameter of planar Brownian motion (2017)
Journal Article
McRedmond, J., & Xu, C. (2017). On the expected diameter of planar Brownian motion. Statistics and Probability Letters, 130, 1-4. https://doi.org/10.1016/j.spl.2017.07.001

Known results show that the diameter d1 of the trace of planar Brownian motion run for unit time satisfies 1.595≤Ed1≤2.507. This note improves these bounds to 1.601≤Ed1≤2.355. Simulations suggest that Ed1≈1.99.

Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature (2017)
Journal Article
Deng, Q., Galaz-García, F., Guijarro, L., & Munn, M. (2018). Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature. Potential Analysis, 48(2), 223-238. https://doi.org/10.1007/s11118-017-9633-y

Chiral gravitational waves from chiral fermions (2017)
Journal Article
Anber, M. M., & Sabancilar, E. (2017). Chiral gravitational waves from chiral fermions. Physical Review D, 96(2), Article 023501. https://doi.org/10.1103/physrevd.96.023501

We report on a new mechanism that leads to the generation of primordial chiral gravitational waves, and hence, the violation of the parity symmetry in the Universe. We show that nonperturbative production of fermions with a definite helicity is accom... Read More about Chiral gravitational waves from chiral fermions.

A robust imputation method for missing responses and covariates in sample selection models (2017)
Journal Article
Ogundimu, E. O., & Collins, G. S. (2019). A robust imputation method for missing responses and covariates in sample selection models. Statistical Methods in Medical Research, 28(1), 102-116. https://doi.org/10.1177/0962280217715663

Sample selection arises when the outcome of interest is partially observed in a study. Although sophisticated statistical methods in the parametric and non-parametric framework have been proposed to solve this problem, it is yet unclear how to deal w... Read More about A robust imputation method for missing responses and covariates in sample selection models.

Bidispersive thermal convection (2017)
Journal Article
Gentile, M., & Straughan, B. (2017). Bidispersive thermal convection. International Journal of Heat and Mass Transfer, 114, 837-840. https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.095

We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature. It is important to note that we show that the linear instability threshold is the same... Read More about Bidispersive thermal convection.

Holographic DC conductivity and Onsager relations (2017)
Journal Article
Donos, A., Gauntlett, J. P., Griffin, T., Lohitsiri, N., & Melgar, L. (2017). Holographic DC conductivity and Onsager relations. Journal of High Energy Physics, 2017(7), Article 6. https://doi.org/10.1007/jhep07%282017%29006

Within holography the DC conductivity can be obtained by solving a system of Stokes equations for an auxiliary fluid living on the black hole horizon. We show that these equations can be derived from a novel variational principle involving a function... Read More about Holographic DC conductivity and Onsager relations.

Complex Hyperbolic Triangle Groups with 2-fold Symmetry (2017)
Journal Article
Parker, J. R., & Sun, L. (2017). Complex Hyperbolic Triangle Groups with 2-fold Symmetry. Proceedings of the International Geometry Center, 10(1), 1-21. https://doi.org/10.15673/tmgc.v1i10.547

In this paper we will consider the 2-fold symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2π/p with p > 2. We will mainly concentrate on the groups where some elements are elliptic of finite order. Th... Read More about Complex Hyperbolic Triangle Groups with 2-fold Symmetry.