Research works

A Uniform Rational Critical-Face Theorem for Integer Circulant Determinants of Order 3p and the Pointwise Equivalence at Order 33

For a prime p greater than 3, this preprint compares the first locallyadmissible but globally nonautomatic critical faces 9m and p^2m for integercirculant determinants of order 3p, with m coprime to 3p. An exactnormalization-conductor calculation proves the uniform pointwise tran...

Multi types and reasonable space

Accattoli, Dal Lago, and Vanoni have recently proved that the space used by the Space KAM, a variant of the Krivine abstract machine, is a reasonable space cost model for the lambda-calculus accounting for logarithmic space, solving a longstanding open problem. In this paper, we...

Generalized Bell inequalities and frustrated spin systems

Abstract We find a close correspondence between generalized Bell inequalities (GBI’s) of a special kind and certain frustrated spin systems. For example, the Clauser–Horn–Shimony–Holt inequality corresponds to the frustrated square with the signs ++ + − for the nearest neighbor i...

Spatial qubit entanglement witness for quantum natured gravity

Abstract Witnessing the quantum nature of gravity through the entanglement of two masses has recently been proposed. Both non-Gaussian and Gaussian protocols have been shown to be useful for this purpose. In non-Gaussian protocols the complete 1/r gravitational interaction can in...

Modeling the combined effects of the 2023 Türkiye–Syria earthquake and an Atmospheric River event on landslide hazard

Abstract. The 6 February 2023 Türkiye–Syria earthquake doublet triggered thousands of coseismic landslides. On 14–15 March, an Atmospheric River (AR) delivered up to 183 mm of rainfall across the seismically weakened region, triggering hundreds of additional landslides and debris...

Questioning the Evidence for Host-Symbiont Codiversification in Mycorrhizal Symbioses

Abstract The vast majority of plants form mycorrhizal symbioses. The ecological importance of these mutualistic interactions has sparked interest in their long evolutionary history. By examining interaction networks and phylogenetic trees, several studies have suggested that plan...

Distinct cortical spatial representations learned along disparate visual pathways

Recent experimental studies have discovered diverse spatial properties, such as head direction tuning and egocentric tuning, of neurons in the postrhinal cortex (POR) and revealed how the POR spatial representation is distinct from the retrosplenial cortex (RSC). However, how the...

Loss of Quasiconvexity in the Periodic Homogenization of Viscous Hamilton–Jacobi Equations

Abstract. We show that in the periodic homogenization of uniformly elliptic Hamilton–Jacobi equations with quasiconvex Hamiltonians in arbitrary dimensions, the effective Hamiltonian is not necessarily quasiconvex. This observation is in sharp contrast with the first-order case,...

On the Lawson-Osserman conjecture

Abstract We prove that if $u : B_{1} \subset \mathbb{R}^{2} \rightarrow \mathbb{R}^{n}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>u</mml:mi> <mml:mo>:</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>⊂</mml:mo> <mml:msup> <mml:...

Unified framework for efficiently computable quantum circuits

Quantum circuits consisting of Clifford and matchgates are two classes of circuits that are known to be efficiently simulatable on a classical computer. We introduce a unified framework that shows in a transparent way the special structure that allows these circuits to be efficie...

Optimizing Inventory Placement for a Downstream Online Matching Problem

Problem definition: We study the inventory placement problem of splitting [Formula: see text] units of a single item across warehouses in advance of a downstream online matching problem that represents the dynamic fulfillment decisions of an e-commerce retailer. This is a challen...

Ala viridis sublimis : on butterflies, budgies and bicontinuous greens

Abstract Green structural colour associated with bicontinuous photonic nano structures occurs in both butterflies (Lycaenidae, Papilionidae) and birds (Chloropseidae leafbirds, Psittaculidae parrots). In butterflies and leafbirds, porous chitin or keratin single gyroids reflect g...

Steric stabilizers inhibit or enhance enzymatic digestion depending on the internal nanostructure of lipid nanoparticles

Abstract Lipidic nanoparticles (LNPs), including liposomes and cubosomes, are widely employed drug delivery systems owing to their biocompatibility and capacity for stimuli-responsive ‘smart’ drug release. Steric stabilizers, including DSPE-PEG-2000 and Pluronic F127, are commonl...

Hyperbolic confinement: self-assembly of asymmetric diblock co-polymers on triply periodic minimal surfaces

Abstract We investigate the self-assembly of compositionally asymmetric AB diblock co-polymers confined to thin hyperbolic films on the three cubic minimal surfaces: the primitive, the diamond and the gyroid. To analyse and quantify the assemblies, we use a computational pipeline...

High symmetry embeddings of rectilinear tangles

Abstract Finite tangles are embeddings of graphs that include knots or links as subcomponents. We describe vertex-transitive tangles with 12 or fewer crossings, as well as tangles with just two crossings that feature the Hopf link. Additionally, we consider tangles formed by addi...

Popular crossings: Lin Chen and his bifurcated editorial practice in 1950s Singapore and Malaya

This article reframes the Singapore Chinese dramatist Lin Chen’s cultural practice by explicating discrepant modes of popular cultural production and circulation in 1950s Singapore and Malaya through commercial printing. Today, Lin Chen (1919–2004) is remembered primarily as the...

Mapping structural heterogeneity in three-dimensional biophotonic gyroid networks using position-resolved small-angle X-ray scattering

Abstract The wings of select Papilionid and Lycaenid butterflies contain a three-dimensional gyroid network of a solid cuticle phase in air. In butterfly scales, gyroid networks are optically interesting, as they create the green colour observed in the wings of these butterflies....

Three-colour pride—geometry and topological transformations in self-assembly models of three-arm star molecules

Abstract Polyphilic three-arm star-shaped molecules self-assemble in a wide variety of morphologies. We present an analysis of the geometry of the possible mesophases formed by three-star molecules with mutually immiscible arms. The structures resulting from such molecular self-a...

Association Between Efficacy and Pharmacokinetics of DMB-3115 and its Originator Ustekinumab in Patients with Chronic Plaque Psoriasis: An Exposure–Response Analysis

DMB-3115 is a biosimilar to ustekinumab (Stelara ® ). Although a single-dose study conducted in Europe showed that the pharmacokinetics of DMB-3115 was equivalent to that of ustekinumab, another single-dose study in Japan suggested that the maximum serum concentration ( C max ) o...

Impacts of the three-dimensional radiative effects on cloud droplet number concentration retrieval and regression-based albedo susceptibility estimates

Abstract. Cloud droplet number concentration (Nd) in warm liquid clouds plays a crucial role in understanding cloud microphysical processes and the influence of aerosol–cloud interactions (ACI) on Earth's climate. Nd from satellite-retrieved cloud properties such as the cloud opt...