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Probability structures in subspace lattice approach to foundations of quantum theory© 2015, Springer Science+Business Media New York. Noncommutative measure and probability theory

When weak and local measure convergence implies norm convergenceNon-commutative integration

Inequalities for the block projection operators to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform

Noncommutative residues, equivariant traces, and trace expansions for an operator algebra on RnWe consider an algebra A of Fourier integral operators on Rn. It consists of all operators D

Yang-Baxter σ -models, conformal twists, and noncommutative Yang-Mills theory-matrices implies the existence and planar integrability of the dual NC gauge theory.

Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral TechniquesThe purpose of this paper is the description of Berry’s phase, in the Euclidean Path Integral

Functions of noncommuting operators under perturbation of class SpFunctions of noncommuting operators under perturbation of class Sp

On Solvability of Systems of Symbolic Polynomial EquationsApproaches to solving the systems of non-commutative polynomial equations in the form of formal

Martindale rings and H-module algebras with invariant characteristic polynomialsUnder study is the category A of the possibly noncommutative H-module algebras that are mapped

Photon propagation in noncommutative QED with constant external field of the fact that the noncommutative theory is not Lorentz invariant and speculate about possible workarounds.

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