Publications (35)
The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
Gilles Buchs, Thomas Beck, Ryan Bennink +19
Quantum computing (QC) has gained significant attention over the past two decades due to its potential for speeding up classically demanding tasks. This transition from an academic…
Quantum Computations on Fusion Blanket Molten Salts
Susanta Das, Thiago J. Pinheiro Dos Santos, Subhamoy Bhowmik +14
Molten salts such as FLiBe (2LiF--BeF) are leading blanket materials for breeding and recovering tritium in fusion reactors. Predicting tritium speciation requires accurate ele…
Nodal Set Openings on Perturbed Rectangular Domains
Thomas Beck, Marichi Gupta, Jeremy L. Marzuola
We study the effects of perturbing the boundary of a rectangle on the nodal sets of eigenfunctions of the Laplacian. Namely, for a rectangle of a given aspect ratio , we identif…
Gas-depleted planet formation occurred in the four-planet system around the red dwarf LHS 1903
Thomas G. Wilson, Anna M. Simpson, Andrew Collier Cameron +173
Small exoplanet radii show two populations, referred to as super-Earths and sub-Neptunes, separated by a gap known as the radius valley. This may be produced by the removal of atmo…
TESS and CHEOPS Discover Two Warm Sub-Neptunes Transiting the Bright K-dwarf HD 15906
Amy Tuson, Didier Queloz, Hugh P. Osborn +119
We report the discovery of two warm sub-Neptunes transiting the bright (G = 9.5 mag) K-dwarf HD 15906 (TOI 461, TIC 4646810). This star was observed by the Transiting Exoplanet Sur…
Level Spacings and Nodal Sets at Infinity for Radial Perturbations of the Harmonic Oscillator
Thomas Beck, Boris Hanin
We study properties of the nodal sets of high frequency eigenfunctions and quasimodes for radial perturbations of the Harmonic Oscillator. In particular, we consider nodal sets on…
Two-phase free boundary problems in convex domains
Thomas Beck, David Jerison, Sarah Raynor
We study the regularity of minimizers of a two-phase free boundary problem. For a class of n-dimensional convex domains, we establish the Lipschitz continuity of the minimizer up t…
Duchon-Robert solutions for the Rayleigh-Taylor and Muskat problems
Thomas Beck, Philippe Sosoe, Percy Wong
We construct analytic solutions to the Euler equations with an interface between two fluids, extending work of Duchon and Robert. We also show that the estimates of Duchon and Robe…
Two Warm Neptunes transiting HIP 9618 revealed by TESS & Cheops
Hugh P. Osborn, Grzegorz Nowak, Guillaume Hébrard +126
HIP 9618 (HD 12572, TOI-1471, TIC 306263608) is a bright ( mag) solar analogue. TESS photometry revealed the star to have two candidate planets with radii of …
Nodal Sets of Smooth Functions with Finite Vanishing Order and p-Sweepouts
Thomas Beck, Spencer T. Becker-Kahn, Boris Hanin
We show that on a compact Riemmanian manifold , nodal sets of linear combinations of any smooth functions form an admissible sweepout provided these linear combina…
Resistivity of Graphene Nanoribbon Interconnects
Raghunath Murali, Kevin Brenner, Yinxiao Yang +2
Graphene nanoribbon interconnects are fabricated, and the extracted resistivity is compared to that of Cu. It is found that the average resistivity at a given line-width (18nm<W<52…
Localization of the first eigenfunction of a convex domain
Thomas Beck
We study the first Dirichlet eigenfunction of the Laplacian in a -dimensional convex domain. For domains of a fixed inner radius, estimates of Chiti imply that the ratio of the…
Breakdown Current Density of Graphene Nano Ribbons
Raghunath Murali, Yinxiao Yang, Kevin Brenner +2
Graphene nanoribbons (GNRs) with widths down to 16 nm have been characterized for their current-carrying capacity. It is found that GNRs exhibit an impressive breakdown current den…
The Shape of the Level Sets of the First Eigenfunction of a Class of Two Dimensional Schrödinger Operators
Thomas Beck
We study the first Dirichlet eigenfunction of a class of Schrödinger operators with a convex potential V on a domain . We find two length scales and , and an orient…
The CHEOPS mission
Willy Benz, Christopher Broeg, Andrea Fortier +107
The CHaracterising ExOPlanet Satellite (CHEOPS) was selected in 2012, as the first small mission in the ESA Science Programme and successfully launched in December 2019. CHEOPS is…
Two-phase problems: Perron solutions and regularity of the Neumann problem in convex cones
Thomas Beck, Daniela De Silva, Ovidiu Savin
We investigate a fully nonlinear two-phase free boundary problem with a Neumann boundary condition on the boundary of a general convex set with corners. We…
Discovery of two warm mini-Neptunes with contrasting densities orbiting the young K3V star TOI-815
Angelica Psaridi, Hugh Osborn, François Bouchy +130
We present the discovery and characterization of two warm mini-Neptunes transiting the K3V star TOI-815 in a K-M binary system. Analysis of the spectra and rotation period reveal i…
Harnessing Quantum Computing for Energy Materials: Opportunities and Challenges
Seongmin Kim, In-Saeng Suh, Travis S. Humble +3
Developing high-performance materials is critical for diverse energy applications to increase efficiency, improve sustainability and reduce costs. Classical computational methods h…
Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We obtain upper bounds on the number of nodal domains of Laplace eigenfunctions on chain domains with Neumann boundary conditions. The chain domains consist of a family of planar d…
Uncovering the true periods of the young sub-Neptunes orbiting TOI-2076
Hugh P. Osborn, Andrea Bonfanti, Davide Gandolfi +93
Context: TOI-2076 is a transiting three-planet system of sub-Neptunes orbiting a bright (G = 8.9 mag), young ( Myr) K-type star. Although a validated planetary system, th…
A pair of Sub-Neptunes transiting the bright K-dwarf TOI-1064 characterised with CHEOPS
Thomas G. Wilson, Elisa Goffo, Yann Alibert +132
We report the discovery and characterisation of a pair of sub-Neptunes transiting the bright K-dwarf TOI-1064 (TIC 79748331), initially detected in TESS photometry. To characterise…
Improved Bounds for Hermite-Hadamard Inequalities in Higher Dimensions
Thomas Beck, Barbara Brandolini, Krzysztof Burdzy +5
Let be a convex domain and let be a positive, subharmonic function (i.e. ). Then $$ \frac{1}{|Ω|} \int_Ω{f dx} \…
Integrating Quantum Computing Resources into Scientific HPC Ecosystems
Thomas Beck, Alessandro Baroni, Ryan Bennink +15
Quantum Computing (QC) offers significant potential to enhance scientific discovery in fields such as quantum chemistry, optimization, and artificial intelligence. Yet QC faces cha…
Limiting Eigenfunctions of Sturm-Liouville operators Subject to a Spectral Flow
Thomas Beck, Isabel Bors, Grace Conte +2
We examine the spectrum of a family of Sturm--Liouville operators with regularly spaced delta function potentials parametrized by increasing strength. The limiting behavior of the…
The Friedland-Hayman inequality and Caffarelli's contraction theorem
Thomas Beck, David Jerison
The Friedland-Hayman inequality is a sharp inequality concerning the growth rates of homogeneous, harmonic functions with Dirichlet boundary conditions on complementary cones divid…
Distributed Quantum Optimization for Large-Scale Higher-Order Problems with Dense Interactions
Seongmin Kim, Vincent R. Pascuzzi, Travis S. Humble +5
Many real-world problems are naturally formulated as higher-order optimization (HUBO) tasks involving dense, multi-variable interactions, which are challenging to solve with classi…
Nodal line estimates for the second Dirichlet eigenfunction
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study the nodal curves of low energy Dirichlet eigenfunctions in generalized curvilinear quadrilaterals. The techniques can be seen as a generalization of the tools developed by…
An isoperimetric inequality for surfaces formed from spherical polygons
Farhan Azad, Thomas Beck, Karolina Lokaj
We give a new proof of an isoperimetric inequality for a family of closed surfaces, which have Gaussian curvature identically equal to one wherever the surface is smooth. These sur…
Nodal Deficiency of Neumann Eigenfunctions on a Symmetric Dumbbell Domain
Thomas Beck, Andrew Lyons
We study the nodal deficiency of pairs of Neumann eigenfunctions defined over symmetric dumbbell domains. As the width of the connecting neck shrinks, these eigenfunctions converge…
Bridging Paradigms: Designing for HPC-Quantum Convergence
Amir Shehata, Peter Groszkowski, Thomas Naughton +5
This paper presents a comprehensive software stack architecture for integrating quantum computing (QC) capabilities with High-Performance Computing (HPC) environments. While quantu…
On non-local exchange and scattering operators in domain decomposition methods
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study non-local exchange and scattering operators arising in domain decomposition algorithms for solving elliptic problems on domains in . Motivated by recent form…
On Global Solutions of a Zakharov type System
Thomas Beck, Fabio Pusateri, Philippe Sosoe +1
We consider a class of wave-Schroedinger systems with a Zakharov-Schulman type coupling. This class of systems is indexed by a parameter gamma which measures the strength of the nu…
Quantitative bounds on Impedance-to-Impedance operators with applications to fast direct solvers for PDEs
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We prove quantitative norm bounds for a family of operators involving impedance boundary conditions on convex, polygonal domains. A robust numerical construction of Helmholtz scatt…
The torsion function of convex domains of high eccentricity
Thomas Beck
The torsion function of a convex planar domain has convex level sets, but explicit formulae are known only for rectangles and ellipses. Here we study the torsion function on convex…
Uniform level set estimates for ground state eigenfunctions
Thomas Beck
We study the behaviour of the first eigenfunction of the Dirichlet Laplacian on a planar convex domain near its maximum. We show that the eccentricity and orientation of the superl…