Research works

High-temperature superconductivity from kinetic energy

Superconductivity is usually assumed to arise from attractive interaction. In this work we show that strong pairing is possible soley from kinetic energy even without a net attraction. We demonstrate a high-temperature kinetic superconductor in a simple lattice model with nearest...

The Infinite Volume Limit of the Hopfield Neural Networks in the Replica-Symmetric Regime

Abstract Despite extensive research over the past five decades, a rigorous determination of the infinite volume limit of the free energy of the Hopfield model with an extensive number of patterns has remained an outstanding open problem as standard methods from spin glass theory...

Localized Patterns in the Gierer Meinhardt Model on a Cycle Graph

Abstract. In this study, we provide a detailed analysis of the spike solutions and their stability for the Gierer–Meinhardt model on discrete lattices. We explore several phenomena that have no analogs in the continuum limit. For example in the discrete case, the system retains s...

Constraining Dust Formation in the Superluminous Supernova 2017gci with JWST Observations

Abstract We present JWST/MIRI observations of the Type I superluminous supernova (SLSN) 2017gci obtained over 2000 rest-frame days after the supernova (SN) exploded, which represent the latest phase images taken of any known SLSN to date. We find that archival Wide-field Infrared...

Quantum Hall transformer in a quantum point contact over the full range of transmission

A recent experiment [Cohen et al., Science 382, 542 (2023)] observed a robustly quantized $e^2/2h$ conductance in a quantum point contact between fractional quantum Hall edges (a quantum Hall transformer), which then vanishes at low temperature. While this behavior can be describ...

Solving the index problem for (curved) Bernstein–Gelfand–Gelfand sequences

Abstract We study the index theory of curved Bernstein–Gelfand–Gelfand (BGG) sequences in parabolic geometry and their role in K -homology and noncommutative geometry. The BGG-sequences fit into K -homology, and we solve their index problem. We provide a condition for when the BG...

Proper affine deformations of positive representations

Abstract We define, for every positive Anosov representation of a nonabelian free group into , a family of ‐valued cocycles which induce proper affine actions on . We construct fundamental domains in bounded by generalized crooked planes for these affine actions, and deduce that...

A Velocity-Based Moving Mesh Discontinuous Galerkin Method for the Advection-Diffusion Equation

Abstract In convection-dominated flows, robustness of the spatial discretization is a key property. While interior penalty Galerkin (IPG) methods have already proved efficient in the situation of large mesh Peclet numbers, arbitrary Lagrangian-Eulerian (ALE) methods can reduce th...

Salmonids elicit an acute behavioral response to heterothermal environments

Abstract Most fish species are ectothermic and rely on behavioral strategies to control their body temperature in heterothermal environments. Both thermotaxis and thermokinesis have been suggested as important underlying mechanisms. However, to what extent these behaviors allow f...

Causal Relationship Network of Risk Factors Impacting Workday Loss in Underground Coal Mines

Purpose: To explore relationships with post-event workday loss in U.S. underground coal mines using Grouped Greedy Equivalence Search (GGES), a prior-knowledge-constrained extension of GES. Methods: The analysis utilizes data obtained from the National Institute for Occupational...

A survey on mass conservation, self-similarity and related topics in nonlinear diffusion

We examine the validity of the principle of mass conservation for solutions of some typical equations in the theory of nonlinear diffusion, including equations in standard differential form and also their fractional counterparts. In Part I, consisting of the first nine sections,...

Online covariance estimation for stochastic gradient descent under Markovian sampling

We investigate the online overlapping batch-means covariance estimator for Stochastic Gradient Descent (SGD) under Markovian sampling. Convergence rates of order $O\big(\sqrt{d}\,n^{-1/8}(\log n)^{1/4}\big)$ and $O\big(\sqrt{d}\,n^{-1/8}\big)$ are established under state-dependen...

The mod 2 Seiberg–Witten invariants of spin structures and spin families

Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold . Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐mani...

Acute cardiovascular responses to slow and deep breathing in normotensive non-pregnant and pregnant women

Objective To compare the acute cardiovascular responses of non-pregnant and pregnant women to slow and deep breathing (SDB) at a range of breathing frequencies. Participants: Forty-one women (23 non-pregnant and 18 pregnant). Methods Participants completed five different breathin...

International Efficiency Comparisons in Agriculture

In this paper, international efficiency comparisons are made in agriculture using the technique of non-parametric production analysis. Data are drawn from the Global Trade Analysis Project database and relate to eight industries in 30 regions. World efficiency frontiers are const...

Lower Hunter Particle Characterisation Study. 1st Progress Report

The Lower Hunter Particle Characterisation Study was commissioned by the NSW Environment Protection Authority in 2013 to investigate the composition and major sources of particle pollution in the Lower Hunter. The study was conducted by scientists from the former Office of Enviro...

The Labrid Fishes of the Subgenus Julis Cuvier, 1814 (In CORIS Lacepede, 1802), from South and East Africa

Various subgenera have been proposed, among other features the absence of a canine in the angle of the mouth in the type species has been used to justify this, while the genus Julis Cuvier, 1814, generally assigned only sub-generic rank, covers a fairly well defined group with di...

Generative Structural Theory v1.14 — A provenance-population condition and a recorded verdict on a fixed single-arc census record

GST v1.13 imposes E1 and the A+ requirement of E3 as necessary conditions of eligibility for single-arc enlargements, but a registered ground for this could not be found in the materials examined. This version therefore turns to a separate comparison built around a new condition...

A Macaulay-Type Lower Bound for Nested Multichains and Lecture Hall Polytopes

Macaulay's theorem bounds the growth of the Hilbert function of a standard graded algebra from above: H(d+1) ≤ H(d)^ . We prove lower bounds of the same type for a natural combinatorial family. Let A_1 ⊆ A_2 ⊆ ... be finite subsets of a totally ordered set and let h(D) count the...

Complete information orders of quantum channels: equivalence and undecidability

About complete information orders of finite-dimensional quantum channels. With unrestricted finite quantum references, it claims equivalence of relative-entropy, Holevo, BKM, SLD Fisher-information and measured-chi-squared comparisons, with order reversal under genuine Stinesprin...