Outputs (19)

Steklov Eigenvalues of Submanifolds with Prescribed Boundary in Euclidean Space (2019)
Journal Article
Colbois, B., Girouard, A., & Gittins, K. (2019). Steklov Eigenvalues of Submanifolds with Prescribed Boundary in Euclidean Space. Journal of Geometric Analysis, 29(2), 1811-1834. https://doi.org/10.1007/s12220-018-0063-x

Courant-sharp Robin eigenvalues for the square and other planar domains (2019)
Journal Article
Gittins, K., & Helffer, B. (2019). Courant-sharp Robin eigenvalues for the square and other planar domains. Portugaliae Mathematica, 76(1), 57-100. https://doi.org/10.4171/pm/2027

MINIMIZING DIRICHLET EIGENVALUES on CUBOIDS of UNIT MEASURE (2017)
Journal Article
van den Berg, M., & Gittins, K. (2017). MINIMIZING DIRICHLET EIGENVALUES on CUBOIDS of UNIT MEASURE. Mathematika, 63(2), 469-482. https://doi.org/10.1112/s0025579316000413

Asymptotic Behaviour of Cuboids Optimising Laplacian Eigenvalues (2017)
Journal Article
Gittins, K., & Larson, S. (2017). Asymptotic Behaviour of Cuboids Optimising Laplacian Eigenvalues. Integral Equations and Operator Theory, 89(4), 607-629. https://doi.org/10.1007/s00020-017-2407-5

Maximising Neumann eigenvalues on rectangles (2016)
Journal Article
van den Berg, M., Bucur, D., & Gittins, K. (2016). Maximising Neumann eigenvalues on rectangles. Bulletin of the London Mathematical Society, 48(5), 877-894. https://doi.org/10.1112/blms/bdw049

On the Heat Content of a Polygon (2016)
Journal Article
van den Berg, M., & Gittins, K. (2016). On the Heat Content of a Polygon. Journal of Geometric Analysis, 26(3), 2231-2264. https://doi.org/10.1007/s12220-015-9626-2

On the number of Courant-sharp Dirichlet eigenvalues (2016)
Journal Article
van den Berg, M., & Gittins, K. (2016). On the number of Courant-sharp Dirichlet eigenvalues. Journal of Spectral Theory, 6(4), 735-745. https://doi.org/10.4171/jst/139

Uniform bounds for the heat content of open sets in Euclidean space (2015)
Journal Article
van den Berg, M., & Gittins, K. (2015). Uniform bounds for the heat content of open sets in Euclidean space. https://doi.org/10.1016/j.difgeo.2015.01.010

Some spectral applications of McMullen's Hausdorff dimension algorithm (2012)
Journal Article
Gittins, K., Peyerimhoff, N., Stoiciu, M., & Wirosoetisno, D. (2012). Some spectral applications of McMullen's Hausdorff dimension algorithm. Conformal Geometry and Dynamics, 16, 184-203. https://doi.org/10.1090/s1088-4173-2012-00244-5

Using McMullen's Hausdorff dimension algorithm, we study numerically the dimension of the limit set of groups generated by reflections along three geodesics on the hyperbolic plane. Varying these geodesics, we found four minima in the two-dimensional... Read More about Some spectral applications of McMullen's Hausdorff dimension algorithm.