17 citations · 41 across the 23 of their papers we have counts for
24 papers
Patterns in Growth and Distribution of Unbounded Prime Number Walks
Alberto Fraile, Daniel Fernández, Roberto Martínez +1
In our previous work, we defined a prime walk (PW) on a square grid and presented several intriguing numerical results. Here, we demonstrate the main conjecture presented there, na…
On the intimate association between even binary palindromic words and the Collatz-Hailstone iterations
T. Raptis
The celebrated problem is reformulated via the use of an analytic expression of the trailing zeros sequence resulting in a single branch formula with a unique fixed…
Persistent order in Schramm-Loewner Evolution driven by the primes last digit sequence
Theophanes Raptis, Alberto Fraile
We report on a peculiar effect regarding the use of the prime's last digit sequence which is equivalent to a quaternary symbolic sequence. This was used as a driving sequence for t…
Prime numbers and random walks in a square grid
Alberto Fraile, Osame Kinouchi, Prashant Dwivedi +3
In recent years, computer simulations are playing a fundamental role in unveiling some of the most intriguing features of prime numbers. In this work, we define an algorithm for a…
Hidden Structure in the Solutions Set of the N Queens Problem
T. E. Raptis
Some preliminary results are reported on the equivalence of any n-queens problem with the roots of a Boolean valued quadratic form via a generic dimensional reduction scheme. It is…
Hybrid Analog Signal-Based Models of Computation
T. E. Raptis
The present work attempts both a review of previous methods for transferring digital and symbolic computations in an analog or optical substrate and also to offer certain alternati…
Holographic Automata for Ambient Immersive A. I. via Reservoir Computing
Theophanes E. Raptis
We prove the existence of a semilinear representation of Cellular Automata (CA) with the introduction of multiple convolution kernels. Examples of the technique are presented for r…
Encoding discrete quantum algebras in a hierarchy of binary words
Theophanes E. Raptis
It is shown how to endow a hierarchy of sets of binary patterns with the structure of an abstract,normed C*-algebra. In the course we also recover an intermediate connection with t…
Finite Information Numbers through the Inductive Combinatorial Hierarchy
Theophanes E. Raptis
We report on a recent conjecture by Gisin on a restriction of physical processes in sets of finite information numbers (FIN) and further analyze the entropic constraint associated…
Beltrami Flows, Non-Diffracting Waves and the Axion Beltrami-Maxwell Postulates
Theophanes E. Raptis, Christos D. Papageorgiou
We present a particular class of solutions in Cartesian, cylindrical and spherical coordinates of the non-dispersive travelling wave variety that propagate an envelope of varying v…
On Certain Analytical Representations of Cellular Automata
Theophanes E. Raptis
We extend a previously introduced semi-analytical representation of a decomposition of CA dynamics in arbitrary dimensions and neighborhood schemes via the use of certain universal…
Comment to: The remote Maxwell Demon as Energy Down-converter
Theophanes E. Raptis
Taking advantage from a recent analog realization of certain automata via spectral encodings as permutation machines, we reach at an improved version of the previously introduced r…
'Viral' Turing Machines, Computation from Noise and Combinatorial Hierarchies
T. E. Raptis
The interactive computation paradigm is reviewed and a particular example is extended to form the stochastic analog of a computational process via a transcription of a minimal Turi…
Resonant Transmission Line Method for Econophysics models
T. E. Raptis
In a recent paper [1304.6846], Racorean introduced a formal similarity of the Black-Sholes stock pricing model with a Schrödinger equation. We use a previously introduced method of…
Unitary Cellular Automata and Convolution Algebras
T. E. Raptis
The original local, discrete example of Linear Unitary Cellular Automata (LUCA) is analyzed in terms of a new representation previously introduced in [1] for classical CA. Several…
Quantum Superlattices, Wannier Stark Ladders and the 'Resonance' technique
C. D. Papageorgiou, A. C. Boucouvalas, T. E. Raptis
We present a new method for solving the Schrodinger equation using the Lossless Transmission Line Model (LTL). The LTL model although extensively used in fiber optics and optical f…
Spectral Representations and Global Maps of Cellular Automata Dynamics
T. E. Raptis
We present a spectral representation of any computation performed by a Cellular Automaton (CA) of arbitrary topology and dimensionality via an appropriate coding scheme in Fourier…
POLYANA - A tool for the calculation of molecular radial distribution functions based on Molecular Dynamics trajectories
Christos Dimitroulis, Theophanes Raptis, Vasilios Raptis
We present an application for the calculation of radial distribution functions for molecular centres of mass, based on trajectories generated by molecular simulation methods (Molec…
Transient force effects, as predicted by Mbelek and Lachièze-Rey scalar tensor theory of gravitation
F. O. Minotti, T. E. Raptis
The scalar-tensor theory of gravitation proposed by Mbelek and Lachièze-Rey have been recently shown to lead to some remarkable effects beyond those initially explored by its autho…
A Closed Algebra of Clebsch Forms Derived from Whittaker Super-potentials and applications in electromagnetic research
T. E. Raptis
A type of closed exterior algebra in R3 under the cross product is revealed to hold between differential forms from the three Whittaker scalar potentials, associated with the field…
Understanding coil-to-globule transition of polymers with the aid of a novel cluster analysis technique
T. E. Raptis, Vasilios E. Raptis
In this article, a novel cluster analysis algorithm was employed in the study of polymer coil to globule transition via single chain Monte Carlo simulations. The algorithm, which h…
Electromagnetically induced vorticity control in a quantum fluid velocity field
T. E. Raptis
A new method is reported by which it is possible to induce certain flux configurations of desired characteristics via electromagnetic means into the overall quantum probability cur…
RDCI: A novel method of cluster analysis and applications thereof in sample molecular simulations
Theophanes Raptis, Vasilios Raptis
A novel method, termed Reduced Dimensionality Cluster Identification, RDCI, is presented, for the identification and quantitative description of clusters formed by N objects in thr…
Possible measurable effects of light propagating in electromagnetized vacuum, as predicted by a scalar tensor theory of gravitation
T. E. Raptis, F. O. Minotti
The effect of static electromagnetic fields on the propagation of light is analyzed in the context of a particular class of scalar-tensor gravitational theories. It is found that f…