23 citations · 55 across the 25 of their papers we have counts for
26 papers
Normalized nonlinear Schrödinger ground states on defected grids with unbounded defects
William Borrelli, Nicolò Cangiotti, Simone Dovetta +1
We study normalized ground states for the nonlinear Schrödinger energy on two-dimensional square grids with unbounded defects. We first show that unbounded defects do not necessari…
Becoming, Duration, and the Evolving Block Universe
Nicolò Cangiotti
The two-times problem asks how the directed, oriented time of biological and conscious systems relates to the time of fundamental physics. The Evolving Block Universe, in which spa…
Profiling vs. Case-specific Evidence: A Probabilistic Analysis
Marcello Di Bello, Nicolò Cangiotti, Michele Loi
The use of profiling evidence in criminal trials is a longstanding controversy in legal epistemology and evidence law theory. Many scholars, even when they oppose its use at trial,…
Nonlinear Schrödinger Equation with magnetic potential on metric graphs
Nicolò Cangiotti, Ivan Gallo, David Spitzkopf
In this manuscript, we shall investigate the Nonlinear Magnetic Schrödinger Equation on noncompact metric graphs, focusing on the existence of ground states. We prove that the magn…
Evidence Without Injustice: A New Counterfactual Test for Fair Algorithms
Michele Loi, Marcello Di Bello, Nicolò Cangiotti
The growing philosophical literature on algorithmic fairness has examined statistical criteria such as equalized odds and calibration, causal and counterfactual approaches, and the…
Exploring Exponential Runge-Kutta Methods: A Survey
Alessia andò, Nicolò Cangiotti, Mattia Sensi
In this survey, we provide an in-depth investigation of exponential Runge-Kutta methods for the numerical integration of initial-value problems. These methods offer a valuable synt…
L-mosaics and orthomodular lattices
Nicolò Cangiotti, Alessandro Linzi, Enrico Talotti
In this paper, we introduce a class of hypercompositional structures called dualizable L-mosaics. We prove that their category is equivalent to that formed by ortholattices and we…
Causal Equal Protection as Algorithmic Fairness
Marcello Di Bello, Nicolò Cangiotti, Michele Loi
By combining the philosophical literature on statistical evidence and the interdisciplinary literature on algorithmic fairness, we revisit recent objections against classification…
Morrey-Campanato Functional Spaces for Carnot Groups
Nicolò Cangiotti, Marco Capolli
We shortly review the historical path of Morrey-Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical…
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
In this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schröding…
Genus Comparisons in the Topological Analysis of RNA Structures
Nicolò Cangiotti, Stefano Grasso
RNA folding prediction remains challenging, but can be also studied using a topological mathematical approach. In the present paper, the mathematical method to compute the topologi…
On projective spaces over local fields
Nicolò Cangiotti, Alessandro Linzi
Let be the set of points of a finite-dimensional projective space over a local field , endowed with the topology naturally induced from the canonical topology…
Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
Classical results concerning Klein-Gordon-Maxwell type systems are shortly reviewed and generalized to the setting of mixed local-nonlocal operators, where the nonlocal one is allo…
A survey on Lyapunov functions for epidemic compartmental models
Nicolò Cangiotti, Marco Capolli, Mattia Sensi +1
In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely employed functions, together with a c…
What is so special about analogue simulations?
Francesco Nappo, Nicolò Cangiotti
This paper defends an account of terrestrial analogue simulations in black hole physics as instances of inferences from material analogy in science (Hesse 1963). We outline the mai…
Confirming Mathematical Conjectures by Analogy
Francesco Nappo, Nicolò Cangiotti, Caterina Sisti
Analogy has received attention as a form of inductive reasoning in the empirical sciences. However, its role in pure mathematics has received less consideration. This paper provide…
Group Fairness Is Not Derivable From Justice: a Mathematical Proof
Nicolò Cangiotti, Michele Loi
We argue that an imperfect criminal law procedure cannot be group-fair, if 'group fairness' involves ensuring the same chances of acquittal or convictions to all innocent defendant…
Reasoning by Analogy in Mathematical Practice
Nicolò Cangiotti, Francesco Nappo
The testimony and practice of notable mathematicians indicate that there is an important phenomenological and epistemological difference between superficial and deep analogies in m…
A Generalization of Lanchester's Model of Warfare
Nicolò Cangiotti, Marco Capolli, Mattia Sensi
The classical Lanchester's model is shortly reviewed and analysed, with particular attention to the critical issues that intrinsically arise from the mathematical formalization of…
Dimensional Universality of Schauder Estimates Constants for Fourth Order Heat-Type Equations
Nicolò Cangiotti, Lorenzo Marino
A new method to compute Schauder Estimates for multidimensional fourth order heat-type equations is proposed. In particular, we show how knowing Schauder or Sobolev estimates for t…
Normal and pseudonormal numbers
Nicolò Cangiotti, Daniele Taufer
After a short review of the historical milestones on normal numbers, we introduce the Borel numbers as the reals admitting a probability function on their different bases represent…
Exact solutions for a Solow-Swan model with non-constant returns to scale
Nicolò Cangiotti, Mattia Sensi
The Solow-Swan model is shortly reviewed from a mathematical point of view. By considering non-constant returns to scale, we obtain a general solution strategy. We then compute the…
Notes on a conformal characterization of -dimensional Lorentzian manifolds with constant Ricci scalar curvature
Nicolò Cangiotti, Mattia Sensi
We present a characterization of -dimensional Lorentzian manifolds with constant Ricci scalar curvature. It is well known that every -dimensional Lorentzian manifolds is conf…
A geometric characterization of VES and Kadiyala-type production functions
Nicolò Cangiotti, Mattia Sensi
The basic concepts of the differential geometry are shortly reviewed and applied to the study of VES production function in the spirit of the works of Vîlcu and collaborators. A si…