Julie Rowlett

Chalmers University of Technology

TopologyMathematical analysisLaplace operatorManifoldMathematics

39Publications

8H-index

173Citations

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Publications 43

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#1Julie Rowlett (Chalmers University of Technology)H-Index: 8

In the face of a pandemic, individuals may decide whether they take actions to mitigate the spread of the disease (cooperate), or not (defect), resulting in a 'disease dilemma' similar to the prisoner's dilemma. Cooperation requires an individual to change their routine behaviours to benefit others. The rate of cooperation within a population is directly linked to the rate of spread of the disease. Unfortunately, evolutionary game dynamics predict that all individuals evolve to 'defect.' Here, w...

#1Julie Rowlett (Chalmers University of Technology)H-Index: 8

In numerous contexts, individuals may decide whether they take actions to mitigate the spread of disease, or not. Mitigating the spread of disease requires an individual to change their routine behaviours to benefit others, resulting in a 'disease dilemma' similar to the seminal prisoner's dilemma. In the classical prisoner's dilemma, evolutionary game dynamics predict that all individuals evolve to 'defect.' We have discovered that when the rate of cooperation within a population is directly li...

#1Clara L. Aldana (University of Luxembourg)H-Index: 3

#2Julie Rowlett (Chalmers University of Technology)H-Index: 8

Let denote a finite circular sector of opening angle and radius one, and let denote the heat operator associated to the Dirichlet extension of the Laplacian

#1Medet NursultanovH-Index: 2

#2Julie RowlettH-Index: 8

Last. David A. SherH-Index: 8

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We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those of Zaremba type. We compute the short time asymptotic expansion of the heat trace and apply this expansion to demonstrate a collection of results showing that corners are spectral invariants.

#1Susanne Menden-Deuer (URI: University of Rhode Island)H-Index: 15

#2Julie Rowlett (Chalmers University of Technology)H-Index: 8

Using game theory, we provide mathematical proof that if a species of asexually reproducing microbes is not characterized by maximum variability in competitive abilities among its individual organisms, then that species is vulnerable to replacement by competitors. Furthermore, we prove that such maximally variable species are neutral towards each other in competition for limited resources; they coexist. Our proof is constructive: given one species which does not possess maximum variability, we c...

#1Medet Nursultanov (Chalmers University of Technology)H-Index: 2

#2Julie Rowlett (Chalmers University of Technology)H-Index: 8

Last. David Sher (DePaul University)H-Index: 1

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We prove that the existence of corners in a class of planar domain, which includes all simply connected polygonal domains and all smoothly bounded domains, is a spectral invariant of the Laplacian with both Neumann and Robin boundary conditions. The main ingredient in the proof is a locality principle in the spirit of Kac’s “principle of not feeling the boundary,” but which holds uniformly up to the boundary. Albeit previously known for Dirichlet boundary condition, this appears to be new for Ro...

#1Nelia Charalambous (UCY: University of Cyprus)H-Index: 7

#2Julie Rowlett (University of Gothenburg)H-Index: 8

We study the heat trace for both Schrodinger operators as well as the drifting Laplacian on compact Riemannian manifolds. In the case of a finite regularity (bounded and measurable) potential or weight function, we prove the existence of a partial asymptotic expansion of the heat trace for small times as well as a suitable remainder estimate. This expansion is sharp in the following sense: further terms in the expansion exist if and only if the potential or weight function is of higher Sobolev r...

#1Lashi BandaraH-Index: 5

#2Medet NursultanovH-Index: 2

Last. Julie RowlettH-Index: 8

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Our topological setting is a smooth compact manifold of dimension two or higher with smooth boundary. Although this underlying topological structure is smooth, the Riemannian metric tensor is only assumed to be bounded and measurable. This is known as a rough Riemannian manifold. For a large class of boundary conditions we demonstrate a Weyl law for the asymptotics of the eigenvalues of the Laplacian associated to a rough metric. Moreover, we obtain eigenvalue asymptotics for weighted Laplace eq...

#1Clara L. Aldana (University of Luxembourg)H-Index: 3

#2Julie Rowlett (Chalmers University of Technology)H-Index: 8

We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to a conformal deformation in the direction of a conformal factor with a logarithmic singularity at the origin. We compute explicitly all the contributions to this formula coming from the different parts of the sector. In the process, we obtain an explicit expres...

#1Hamid Hezari (UC: University of California)H-Index: 10

#2Zhiqin Lu (UC: University of California)H-Index: 17

Last. Julie Rowlett (University of Gothenburg)H-Index: 8

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We show that non-obtuse trapezoids with identical Neumann spectra are congruent up to rigid motions of the plane. The proof is based on heat trace invariants and some new wave trace invariants associated to certain diffractive billiard trajectories. We use the method of reflections to express the Dirichlet and Neumann wave kernels in terms of the wave kernel of the double polygon. Using Hillairet's trace formulas for isolated diffractive geodesics and one-parameter families of regular geodesics ...

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