Non Uniqueness of Invariant Means for Amenable Group Actions.
Non-abelian extensions have nonsimple spectrum
Non-amenable groups with amenable action and some paradoxical decompositions in the plane
Non-archimedean (uniformly) continuous measures on homogeneous spaces
Non-Archimedean valued quasi-invariant descending at infinity measures.
Nonatomic states
Non-Baire unions in category bases.
Non-Borel measures on non-separable metric spaces
Noncommutative Poincaré recurrence theorem
Poincaré’s classical recurrence theorem is generalised to the noncommutative setup where a measure space with a measure-preserving transformation is replaced by a von Neumann algebra with a weight and a Jordan morphism leaving the weight invariant. This is done by a suitable reformulation of the theorem in the language of -space rather than the original measure space, thus allowing the replacement of the commutative von Neumann algebra by a noncommutative one.
Non-compact random generalized games and random quasi-variational inequalities.
Non-differentiability of Feynman paths
A well-known mathematical property of the particle paths of Brownian motion is that such paths are, with probability one, everywhere continuous and nowhere differentiable. R. Feynman (1965) and elsewhere asserted without proof that an analogous property holds for the sample paths (or possible paths) of a non-relativistic quantum mechanical particle to which a conservative force is applied. Using the non-absolute integration theory of Kurzweil and Henstock, this article provides an introductory proof...
Nonergodic actions, cocycles and superrigidity.
Non-hyperbolicity and invariant measures for unimodal maps
Non-isotropic distance measures for lattice-generated sets.
We study distance measures for lattice-generated sets in Rd, d>=3, with respect to non-isotropic distances l-l.K, induced by smooth symmetric convex bodies K. An effective Fourier-analytic approach is developed to get sharp upper bounds for the second moment of the weighted distance measure.
Nonlinear dynamics and chaos in a fractional-order HIV model.
Nonlinear harmonic measures on trees.
Nonlinear integrals
Nonlinear structures determined by measures on Banach spaces
Non-locally compact Polish groups and two-sided translates of open sets
This paper is devoted to the following question. Suppose that a Polish group G has the property that some non-empty open subset U is covered by finitely many two-sided translates of every other non-empty open subset of G. Is then G necessarily locally compact? Polish groups which do not have the above property are called strongly non-locally compact. We characterize strongly non-locally compact Polish subgroups of in terms of group actions, and prove that certain natural classes of non-locally...
Nonmeasurable algebraic sums of sets of reals
We present a theorem which generalizes some known theorems on the existence of nonmeasurable (in various senses) sets of the form X+Y. Some additional related questions concerning measure, category and the algebra of Borel sets are also studied.