Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Rowlett, Julie"'
Autor:
Mårdby, Gustav, Rowlett, Julie
An integrable polygon is one whose interior angles are fractions of $\pi$; that is to say of the form $\frac \pi n$ for positive integers $n$. We consider the Laplace spectrum on these polygons with the Dirichlet and Neumann boundary conditions, and
Externí odkaz:
http://arxiv.org/abs/2409.14391
We explore the Steklov eigenvalue problem on convex polygons, focusing mainly on the inverse Steklov problem. Our primary finding reveals that, for almost all convex polygonal domains, there exist at most finitely many non-congruent domains with the
Externí odkaz:
http://arxiv.org/abs/2408.01529
Autor:
Mårdby, Gustav, Rowlett, Julie
In 1910, Hendrik Antoon Lorentz delved into the enigmatic Laplace eigenvalue equation, also known as the Helmholtz equation, pondering to what extent the geometry in which one solves the equation can be recovered from knowledge of the eigenvalues. Lo
Externí odkaz:
http://arxiv.org/abs/2406.18369
Adaptive dynamics describes a deterministic approximation of the evolution of scalar- and function-valued traits. Applying it to the team game developed by Menden-Deuer and Rowlett [Menden-Deuer & Rowlett 2019], we constructed an evolutionary process
Externí odkaz:
http://arxiv.org/abs/2401.17090
We consider the variation of two fundamental types of zeta functions that arise in the study of both physical and analytical problems in geometric settings involving conical singularities. These are the Barnes zeta functions and the Bessel zeta funct
Externí odkaz:
http://arxiv.org/abs/2312.02108
In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime with the help of zeta-regularization techniques. The spacetime is geome
Externí odkaz:
http://arxiv.org/abs/2311.03331
Autor:
Charalambous, Nelia, Rowlett, Julie
We consider the spectrum of the Laplace operator acting on $\mathcal{L}^p$ over a conformally compact manifold for $1 \leq p \leq \infty$. We prove that for $p \neq 2$ this spectrum always contains an open region of the complex plane. We further show
Externí odkaz:
http://arxiv.org/abs/2306.09291
Imagine you are managing a football team and have a fixed budget for salaries. Which players should you draft for your team? We investigated this question using the wealth of data available from fantasy premier league football (soccer). Using the pla
Externí odkaz:
http://arxiv.org/abs/2211.02417
Publikováno v:
Communications in Number Theory and Physics, Vol. 17, No. 1, p. 173-248, (2023)
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist may be given by any endomorphism of a finite-dimensional vector space; no assumptions on invertibili
Externí odkaz:
http://arxiv.org/abs/2201.04454
Flat tori are among the only types of Riemannian manifolds for which the Laplace eigenvalues can be explicitly computed. In 1964, Milnor used a construction of Witt to find an example of isospectral non-isometric Riemannian manifolds, a striking and
Externí odkaz:
http://arxiv.org/abs/2110.09457