6 papers
Explicit descriptions of all 1-Meixner random vectors
Florin Catrina, Andrzej Derdzinski, Aurel I. Stan
The 1-Meixner random vectors consist of real-valued random variables, having finite moments of all orders, for which the commutators between their joint semi-quantum operators…
Finite determination for embeddings into Banach spaces: new proof, low distortion
Florin Catrina, Mikhail I. Ostrovskii
The main goal of this paper is to improve the result of Ostrovskii (2012) on the finite determination of bilipschitz and coarse embeddability of locally finite metric spaces into B…
Dvoretzky-type theorem for locally finite subsets of a Hilbert space
Florin Catrina, Sofiya Ostrovska, Mikhail I. Ostrovskii
The main result of the paper: Given any , every locally finite subset of admits a -bilipschitz embedding into an arbitrary infinite-dimensi…
Quantitative characteristics of cycles and their relations with stretch and spanning tree congestion
Florin Catrina, Rainah Khan, Isaac Moorman +2
The main goal of this article is to introduce new quantitative characteristics of cycles in finite simple connected graphs and to establish relations of these characteristics with…
1--Meixner random vectors
Aurel I. Stan, Florin Catrina
A definition of --dimensional --Meixner random vectors is given first. This definition involves the commutators of their semi--quantum operators. After that we will focus on…
Images of nowhere differentiable Lipschitz maps of into
Florin Catrina, Mikhail I. Ostrovskii
The main result: for every sequence of positive numbers ( there exists an isometric embedding which is nowhere differentiable,…