Research works

Spectral sequences, Massey products and homology of covering spaces

Abstract We revisit the equivariant spectral sequence considered by Papadima–Suciu, and show that all its differentials are computed by higher order Massey products. As a first application, we extend to arbitrary field coefficients results of Pajitnov relating the size of Jordan...

Balancing fairness and efficiency in order allocation for quick-commerce applications

<title>Abstract</title> Purpose - This study proposes an approach for deciding the optimal allocation of orders in context of last-mile delivery services. We attempt to model and analyze the inherent trade-off between operational efficiency (driving the least to deliver orders wh...

Selective filtering of multi-photon events from a single-photon emitter

Abstract Single-photon purity is one of the most important key metrics of many quantum states of light. For applications in photonic quantum technologies, e.g. quantum communication and linear optical quantum computing, a minimization of the multi-photon error rate is required be...

Properties of Multidimensional Vector Zeckendorf Representations

A generalization of Zeckendorf’s theorem states for integer k≥3, every nonnegative integer has a unique k-Zeckendorf representation as a sum of distinct k-bonacci numbers, where no k consecutive k-bonacci numbers are present in the representation. Anderson and Bicknell Johnson ex...

Operational Fuel Inefficiency in Cruise Flight: A Worldwide Geospatial Analysis

Aircraft often deviate from fuel-optimal trajectories during the cruise phase of flight, which accounts for approximately 70% of aviation fuel consumption. Deviations in horizontal route, altitude, and speed lead to excess fuel burn, increased CO₂ emissions, and higher operationa...

Bio-inspired decision making in robot swarms under biases

Abstract To operate autonomously, minimal robot swarms must make timely and reliable collective decisions despite noisy individual sensing and severe constraints on communication, computation, and memory. Achieving this capability could expand their use in applications such as he...

Hamiltonicity and structure of connected biclaw-free graphs

We show that for sufficiently large $d$, every balanced bipartite, connected biclaw-free graph with minimum degree $\geq d$ is Hamiltonian. This confirms a conjecture of Flandrin, Fouquet, and Li.

Benchmarking Quantum Solvers in Noisy Digital Simulations for Financial Portfolio Optimization

In this work, we benchmark two prominent quantum algorithms: Quantum Imaginary-Time Evolution (QITE) and the Quantum Approximate Optimization Algorithm (QAOA) for obtaining the ground state of Ising-type Hamiltonians. Specifically, we apply them to the Markowitz portfolio optimiz...

Mean Transforms of Unbounded Weighted Composition Operator Pairs

ABSTRACT In this paper, we first characterize the polar decomposition of unbounded weighted composition operator pairs in an ‐space. Based on this characterization, we introduce the ‐spherical mean transform for . We then investigate the dense definiteness of . As an application,...

Local news hijacking: a review of international instances

Abstract In the rise of the digital era, it’s easier than ever to create nefarious websites to spread misinformation. A more recent phenomenon in the United States has been the creation of inauthentic local news websites to further an information operation campaign. This paper is...

Reliability challenges for resistive random-access memory-based parallel logic computing

<title>Abstract</title> Conventional computing architectures are reaching their scalability limits, while their energy demands increase rapidly. A bottleneck is the separation of memory and processing units, which requires a continuous data transfer. This memory wall increases th...

Assessing inter-model agreement in convection-permitting simulations of extreme winds for wind energy applications

Abstract. Convection-permitting models (CPMs) have great potential for wind energy applications such as wind energy planning, turbine design loads, and operational safety in a climate change context. In fact, compared to coarse-resolution models, they have an improved representat...

How much are households willing to invest in hand hygiene enabling technologies? A randomised pricing experiment in Lusaka, Zambia

Abstract Access to a dedicated handwashing facility (HWF) increases handwashing with soap (HWWS), an effective behaviour for preventing respiratory and diarrheal disease. Achieving universal hand hygiene will require household investment of a HWF, yet the ability and willingness...

Emergence of Lorentz symmetry from an almost-commutative twisted spectral triple

This article demonstrates how the transition from a (Riemannian) twisted spectral triple to a pseudo-Riemannian spectral triple arises within an almost-commutative spectral triple. This opens a new perspective on the Lorentzian signature problem, showing that the almost-commutati...

BSFT-like action from cohomomorphism

Abstract By performing a field redefinition via a cohomomorphism on the Maurer-Cartan action of the A∞ algebra, we construct an action that reproduces the characteristic structure of boundary string field theory (BSFT), which we refer to as the BSFT-like action. We show that the...

Assessing quantum advantage for Gaussian process regression

Abstract Gaussian Process Regression is a machine learning technique with established applications for which several quantum algorithms have been proposed. We show here that in a wide range of scenarios these algorithms show no exponential speedup. We achieve this by rigorously p...

Optimal Vaccination Strategies for a Heterogeneous SIS Model

Abstract. We study in a general mathematical framework the optimal allocation of vaccine in an heterogeneous population. We cast the problem of optimal vaccination as a biobjective minimization problem [Formula: see text], where [Formula: see text] and [Formula: see text] stand,...

Further aspects of supersymmetric Virasoro minimal strings

A supersymmetric version of the Virasoro minimal string was defined some time ago using random matrix model techniques. Several of the special properties of the matrix model that were noted (accessible fully non-perturbatively) underlie features shared by both 0A and 0B versions...

Synthetic horizontal gene transfer for ecosystem restoration

Abstract Restoring endangered ecosystems has become a pressing issue as the effects of global warming continue to harm existing communities. During the last decade, several studies have suggested the use of synthetic biology as a tool to protect these biodiverse communities by in...

Lattice random walk discretisations of stochastic differential equations

We introduce a lattice random walk discretisation scheme for stochastic differential equations (SDEs) that samples binary or ternary increments at each step, suppressing complex drift and diffusion computations to simple 1 or 2 bit random values. This approach is a significant de...