All Outputs (115)

A generalization of a theorem of White (2021)
Journal Article

An m-dimensional simplex ∆ in Rm is called empty lattice simplex if ∆ ∩ Zm is exactly the set of vertices of ∆. A theorem of White states that if m = 3 then, up to an affine unimodular transformation of the lattice Zm, any empty lattice simplex ∆ ⊂ R... Read More about A generalization of a theorem of White.

Microwave Studies of Three Chiral Ensembles in Chains of Coupled Dielectric Resonators (2021)
Journal Article

Random matrix theory has proven very successful in the understanding of the spectra of chaotic systems. Depending on symmetry with respect to time reversal and the presence or absence of a spin 1/2 there are three ensembles, the Gaussian orthogonal,... Read More about Microwave Studies of Three Chiral Ensembles in Chains of Coupled Dielectric Resonators.

Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress (2021)
Journal Article

The indeterminacy of the spherical part of couple-stress is a well-known drawback of any theoretical formulation stemming from the Cosserat couple-stress theory of elasticity. The relevant theory of finite elastic deformations of solids reinforced by... Read More about Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress.

RADIOHEAD: Radiogenomic analysis incorporating tumor heterogeneity in imaging through densities (2021)
Journal Article

Recent technological advancements have enabled detailed investigation of associations between the molecular architecture and tumor heterogeneity through multisource integration of radiological imaging and genomic (radiogenomic) data. In this paper we... Read More about RADIOHEAD: Radiogenomic analysis incorporating tumor heterogeneity in imaging through densities.

Neutron star scalarization with Gauss-Bonnet and Ricci scalar couplings (2021)
Journal Article

Spontaneous scalarization of neutron stars has been extensively studied in the Damour and Esposito-Farèse model, in which a scalar field couples to the Ricci scalar or, equivalently, to the trace of the energy-momentum tensor. However, scalarization... Read More about Neutron star scalarization with Gauss-Bonnet and Ricci scalar couplings.

Estimating divergence‐free flows via neural networks (2021)
Journal Article

We apply neural networks to the problem of estimating divergence-free velocity flows from given sparse observations. Following the modern trend of combining data and models in physics-informed neural networks, we reconstruct the velocity flow by trai... Read More about Estimating divergence‐free flows via neural networks.

Smooth 1-Dimensional Algebraic Quantum Field Theories (2021)
Journal Article

This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to theories that are smooth in the sense that they assign to every smooth family of spacetimes a smooth family of observable algebras. Using stacks of c... Read More about Smooth 1-Dimensional Algebraic Quantum Field Theories.

Differential privacy over Riemannian manifolds (2021)
Conference Proceeding

In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-norm mechanism that utilizes intrinsic distances and volumes on the mani... Read More about Differential privacy over Riemannian manifolds.

Exorcising Malthusian ghosts: Vaccinating the Nexus to advance integrated water, energy and food resource resilience (2021)
Journal Article

Water-Energy-Food (WEF) Nexus interactions vary from seemingly negative and intractable wicked problems to opportunities for enhanced sustainability. The aim of this paper is to review the current state of understanding on WEF resource interactions a... Read More about Exorcising Malthusian ghosts: Vaccinating the Nexus to advance integrated water, energy and food resource resilience.

Epidemics on networks with preventive rewiring (2021)
Journal Article

A stochastic SIR (susceptible → infective → recovered) model is considered for the spread of an epidemic on a network, described initially by an Erd˝os-R´enyi random graph, in which susceptible individuals connected to infectious neighbours may drop... Read More about Epidemics on networks with preventive rewiring.

GLIMPS: A Machine Learning Approach to Resolution Transformation for Multiscale Modeling (2021)
Journal Article

We describe a general approach to transforming molecular models between different levels of resolution, based on machine learning methods. The approach uses a matched set of models at both levels of resolution for training, but requires only the coor... Read More about GLIMPS: A Machine Learning Approach to Resolution Transformation for Multiscale Modeling.

Modular iterated integrals associated with cusp forms (2021)
Journal Article

We construct an explicit family of modular iterated integrals which involves cusp forms. This leads to a new method of producing modular invariant functions based on iterated integrals of modular forms. The construction will be based on an extension... Read More about Modular iterated integrals associated with cusp forms.

Batalin–Vilkovisky quantization of fuzzy field theories (2021)
Journal Article

We apply the modern Batalin–Vilkovisky quantization techniques of Costello and Gwilliam to noncommutative field theories in the finite-dimensional case of fuzzy spaces. We further develop a generalization of this framework to theories that are equiva... Read More about Batalin–Vilkovisky quantization of fuzzy field theories.

Irreducible skew polynomials over domains (2021)
Journal Article

Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ-derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible. We apply them to low degr... Read More about Irreducible skew polynomials over domains.

Seizure outcomes in people with drug-resistant focal epilepsy evaluated for surgery but do not proceed (2021)
Journal Article

Objective: To ascertain seizure outcomes in people with drug-resistant focal epilepsy considered for epilepsy surgery but who did not proceed. Methods: We identified people discussed at a weekly presurgical epilepsy multi-disciplinary (MDT) meeting f... Read More about Seizure outcomes in people with drug-resistant focal epilepsy evaluated for surgery but do not proceed.

Classical BV formalism for group actions (2021)
Journal Article

We study the derived critical locus of a function f: [X/G] → 1 on the quotient stack of a smooth affine scheme X by the action of a smooth affine group scheme G. It is shown that dCrit(f) R [Z/G] is a derived quotient stack for a derived affine schem... Read More about Classical BV formalism for group actions.

Free boundary problems for Stokes flow, with applications to the growth of biological tissues (2021)
Journal Article

We formulate, analyse and numerically simulate what are arguably the two simplest Stokes-flow free boundary problems relevant to tissue growth, extending the classical Stokes free boundary problem by incorporating (i) a volumetric source (the nutrien... Read More about Free boundary problems for Stokes flow, with applications to the growth of biological tissues.

Tangent functional canonical correlation analysis for densities and shapes, with applications to multimodal imaging data (2021)
Journal Article

It is quite common for functional data arising from imaging data to assume values in infinite-dimensional manifolds. Uncovering associations between two or more such nonlinear functional data extracted from the same object across medical imaging moda... Read More about Tangent functional canonical correlation analysis for densities and shapes, with applications to multimodal imaging data.

A nonlinear and time-dependent leak current in the presence of calcium fluoride patch-clamp seal enhancer (2021)
Journal Article

Automated patch-clamp platforms are widely used and vital tools in both academia and industry to enable high-throughput studies such as drug screening. A leak current to ground occurs whenever the seal between a pipette and cell (or internal solution... Read More about A nonlinear and time-dependent leak current in the presence of calcium fluoride patch-clamp seal enhancer.

Non-cell autonomous and spatiotemporal signalling from a tissue organizer orchestrates root vascular development (2021)
Journal Article

During plant development, a precise balance of cytokinin is crucial for correct growth and patterning, but it remains unclear how this is achieved across different cell types and in the context of a growing organ. Here we show that in the root apical... Read More about Non-cell autonomous and spatiotemporal signalling from a tissue organizer orchestrates root vascular development.