Related papers: Non-commutative Laurent phenomenon for two variabl…
We prove Inequalities similar to those of Bernstein for non-periodic splines in $L_2$ space.
Lorentz transformation on two-dimensional spacetime is obtained without assumption of linearity. To obtain this, we use the invariance of wave equations, which is recently proved to be equivalent to the causality preservation.
We consider the large deviations associated with the empirical mean of independent and identically distributed random variables under a subexponential moment condition. We show that non-trivial deviations are observable at a subexponential…
We explicitly derive, following a Noether-like approach, the criteria for preserving Poincare invariance in noncommutative gauge theories. Using these criteria we discuss the various spacetime symmetries in such theories. It is shown that,…
We present preliminary results for a non perturbative determination of the parameters in the action required to restore Lorentz invariance in long distance correlators, using the static interquark potential. Comparison with analytical…
We provide a proof of a variant of the Landau-Siegel Zeros conjecture.
A new relativistic invariant version of nonlinear Maxwell equations is offerred. Some properties of these equations are considered.
We give a proof of a Martingale Representation Theorem using the methods of nonstandard analysis.
We present some further results on Liouville type theorems for some conformally invariant fully nonlinear equations.
We construct examples of variational bivectors that are not Poissonian.
We establish a general Liouville type theorem for conformally invariant fully nonlinear equations.
We derive two formulae for (A + B)^n, where A and B are elements in a non-commutative, associative algebra with identity.
Noncommutativity lays hidden in the proofs of classical dynamics. Modern frameworks can be used to bring it to light: *-products, groupoids, q-deformed calculus, etc.
In this paper, we found new q-binomial formula for Q-commutative operators. Expansion coefficients in this formula are given by q-binomial coefficients with two bases (q,Q), determined by Q-commutative q-Pascal triangle. Our formula…
We introduce non-commutative analogues of $k$-Schur functions of Lapointe-Lascoux and Morse. We give an explicit formulas for the expansions of non-commutive functions with one and two parameters in terms of these new functions. These…
In this paper, we endeavour to show that from the noncommutative nature of spacetime one can deduce the concept of relativity in the sense that the velocity cannot be infinite as in the case of Galilean relativity.
We present some results and conjectures on a generalization to the noncommutative setup of the Brouwer fixed-point theorem from the Borsuk-Ulam theorem perspective.
We find new bi-Lipschitz invariants for functions of two complex variables.
Application of the noncommutative geometry to several physical models is considered.
We define a noncommutative Lorentz symmetry for canonical noncommutative spaces. The noncommutative vector fields and the derivatives transform under a deformed Lorentz transformation. We show that the star product is invariant under…