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Spreadability for Quantum Stochastic Processes, with an Application to Boolean Commutation Relations [PDF]
Entropy, 2020 In order to manage spreadability for quantum stochastic processes, we study in detail the structure of the involved monoids acting on the index-set of all integers Z , that is that generated by left and right hand-side partial shifts, the monoid of ...
Vitonofrio Crismale +2 more
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Wasserstein distance between noncommutative dynamical systems
Journal of Mathematical Analysis and Applications, 2023 We study a class of quadratic Wasserstein distances on spaces consisting of generalized dynamical systems on a von Neumann algebra. We emphasize how symmetry of such a Wasserstein distance arises, but also study the asymmetric case. This setup is illustrated in the context of reduced dynamics, and a number of simple examples are also presented.
Rocco Duvenhage
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The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This work is an effort in order to compose a pedestrian review of the recently elaborated Doplicher, Fredenhagen, Roberts and Amorim (DFRA) noncommutative (NC) space which is a minimal extension of the DFR space.
Everton M.C. Abreu +3 more
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Learning of Linear Dynamical Systems as a Noncommutative Polynomial Optimization Problem
IEEE Transactions on Automatic ControlThere has been much recent progress in forecasting the next observation of a linear dynamical system (LDS), which is known as the improper learning, as well as in the estimation of its system matrices, which is known as the proper learning of LDS. We present an approach to proper learning of LDS, which in spite of the non-convexity of the problem ...
Quan Zhou 0014, Jakub Marecek
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Thermal behavior of the Klein Gordon oscillator in a dynamical noncommutative space. [PDF]
Sci RepHaouam I.
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On the bialgebra of functional graphs and differential algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 We develop the bialgebraic structure based on the set of functional graphs, which generalize the case of the forests of rooted trees. We use noncommutative polynomials as generating monomials of the functional graphs, and we introduce circular and ...
Maurice Ginocchio
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Quantum Features of Atom–Field Systems in the Framework of Deformed Fields
Applied Sciences, 2021 We propose a new kind of Schrödinger cat state introduced as a superposition of spin coherent states in the framework of noncommutative spaces. We analyze the nonclassical features for these noncommutative deformed states in terms of the main physical ...
Sayed Abdel-Khalek +2 more
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Mathematics, 2022 A self-organizing joint system classical oscillator–random environment is considered within the framework of a complex probabilistic process that satisfies a Langevin-type stochastic differential equation.
Ashot S. Gevorkyan +3 more
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Noncommutativity in the analysis of piecewise discrete-time dynamical systems
, 2023 In this paper, we present a new method for the analysis of piecewise dynamical systems that are similar to the Collatz conjecture in regard to certain properties of the commutator of their sub-functions. We use the fact that the commutator of polynomials $E(n)=n/2$ and $O(n)=(3n+1)/2$ is constant to study rearrangements of compositions of $E(n)$ and $O(
Hendel, Benjamin T., Ruggiero, Rafael
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Discrete dynamics on noncommutative CW complexes
Applied General Topology, 2013 The concept of discrete multivalued dynamical systems for noncommutative CW complexes is developed. Stable and unstable manifolds are introduced and their role in geometric and topological configurations of noncommutative CW complexes is studied.
Vida Milani, Seyed M.H. Mansourbeigi
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