Thermodynamic formalism for Haar systems in noncommutative integration: transverse functions and entropy of transverse measures [PDF]
We consider here a certain class of groupoids obtained via an equivalence relation (the so-called subgroupoids of pair groupoids). We generalize to Haar systems in these groupoids some results related to entropy and pressure which are well known in thermodynamic formalism.
ARTUR O. LOPES, JAIRO K. MENGUE
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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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κ-Minkowski-deformation of U(1) gauge theory
We construct a noncommutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 08 (2020) 041.
V. G. Kupriyanov, M. Kurkov, P. Vitale
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Eigenvalues of singular measures and Connes’ noncommutative integration
In a domain \Omega\subset \mathbb{R}^{\operatorname{N}} we consider compact, Birman–Schwinger type operators of the form \operatorname{T}_{P,\mathfrak{A}}=\mathfrak{A}^* P \mathfrak{A}
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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. [PDF]
Pérez-Sánchez CI.
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On Constructing Informationally Complete Covariant Positive Operator-Valued Measures. [PDF]
Amosov G.
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On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model. [PDF]
Perez-Sanchez CI.
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A noncommutative combinatorial protein logic circuit controls cell orientation in nanoenvironments. [PDF]
Chen J +4 more
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Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals. [PDF]
Chen W.
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Matrix Whittaker processes. [PDF]
Arista J, Bisi E, O'Connell N.
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