Mathematical Physics (MP)
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Sturm–Liouville systems for the survival probability in firstpassage time problems
(20231115)We derive a Sturm–Liouville system of equations for the exact calculation of the survival probability in firstpassage time problems. This system is the one associated with the Wiener–Hopf integral equation obtained from ... 
ResourceEfficient HighDimensional Entanglement Detection via Symmetric Projections
(20231025)We introduce two families of criteria for detecting and quantifying the entanglement of a bipartite quantum state of arbitrary local dimension. The first is based on measurements in mutually unbiased bases and the second ... 
Morning naps architecture and mentation recall complexity
(2023)Mentation reports were collected after spontaneous awakenings from morning naps in 18 healthy participants, and associations between sleep stages duration and complexity of recalled mentation were investigated. Participants ... 
Firespotting modelling in operational wildfire simulators based on cellular automata: a comparison study.
(2021)One crucial mechanism in the spread of wildfires is the socalled firespotting: a random phenomenon which occurs when embers are transported over large distances. Firespotting speeds up the Rate of Spread and starts ... 
Coplanar Antenna Design for Microwave Entangled Signals Propagating in Open Air
(20220101)Openair microwave quantum communication and metrology protocols must be able to transfer quantum resources from a cryostat, where they are created, to an environment dominated by thermal noise. Indeed, the states carrying ... 
Quantumenhanced Doppler lidar
(20221201)We propose a quantumenhanced lidar system to estimate a target’s radial velocity, which employs squeezed and frequencyentangled signal and idler beams. We compare its performance against a classical protocol using a ... 
BiFrequency Illumination: A QuantumEnhanced Protocol
(20221101)Quantumenhanced, idlerfree sensing protocol to measure the response of a target object to the frequency of a probe in a noisy and lossy scenario is proposed. In this protocol, a target with frequencydependent reflectivity ... 
Approximating the quantum approximate optimization algorithm with digitalanalog interactions
(20221001)The quantum approximate optimization algorithm was proposed as a heuristic method for solving combinatorial optimization problems on nearterm quantum computers and may be among the first algorithms to perform useful ... 
Hybrid quantumclassical heuristic for the bin packing problem
(20220709)Optimization problems is one of the most challenging applications of quantum computers, as well as one of the most relevants. As a consequence, it has attracted huge efforts to obtain a speedup over classical algorithms ... 
OpenAir Microwave Entanglement Distribution for Quantum Teleportation
(20221001)Microwave technology plays a central role in current wireless communications, including mobile communication and local area networks. The microwave range shows relevant advantages with respect to other frequencies in ... 
Firespotting modelling in operational wildfire simulators based on cellular automata: a comparison study
(20230731)One crucial mechanism in the spread of wildfires is the socalled firespotting: a random phenomenon which occurs when embers are transported over large distances. Firespotting speeds up the Rate of Spread and starts new ... 
Predicting the arrival of the unpredictable: An approach for foreseeing the transition to chaos of wildfire propagation
(20230707)A discrete map for modelling wildfire propagation is derived from a prototypical reactiondiffusion equation for the temperature field. We show that, for a constant fuel concentration at the firefront, the heat transfer ... 
Monodromy conjecture for semiquasihomogeneous hypersurfaces
(2021)We give a proof the monodromy conjecture relating the poles of motivic zeta functions with roots of bfunctions for isolated quasihomogeneous hypersurfaces, and more generally for semiquasihomogeneous hypersurfaces. We ... 
The FokkerPlanck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm.
(2022)By collecting from literature data the experimental evidences of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live E. coli cells, we get the probability ... 
Polar exploration of complex surface germs
(2021)We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds for the multiplicity and polar multiplicity of pX, 0q, as well as for the combinatorics of the families of generic hyperplane ... 
The dimension of the image of the Abel map associated with normal surface singularities
(2019)Let (X, o) be a complex normal surface singularity with rational homology sphere link and let Xe be one of its good resolutions. Fix an effective cycle Z supported on the exceptional curve and also a possible Chern class ... 
Monodromy conjecture for log generic polynomials
(2020)A log generic hypersurface in P n with respect to a birational modification of P n is by definition the image of a generic element of a high power of an ample linear series on the modification. A log verygeneric ... 
WienerHopf Integral Equations in Mean Firstpassage Time Problems for Continuoustime Random Walks
(2023)We study the mean firstpassage time (MFPT) for asymmetric continuous time random walks in continuous space characterised by finite mean waiting times and jump amplitudes with both finite average and finite variance. We ... 
Exact calculation of the mean firstpassage time of continuoustime random walks by nonhomogeneous WienerHopf integral equations
(20221223)We study the mean firstpassage time (MFPT) for asymmetric continuoustime random walks in continuousspace characterised by waitingtimes with finite mean and by jumpsizes with both finite mean and finite variance. In ... 
Anomalous diffusion originated by two Markovian hoppingtrap mechanisms
(2022)We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuoustime) random walk driven by two different Markovian hoppingtrap mechanisms. If $p ...