q-Gaussian processes: non-commutative and classical aspects

M Bożejko, B Kümmerer, R Speicher - Communications in Mathematical …, 1997 - Springer
We examine, for− 1< q< 1, q-Gaussian processes, ie families of operators (non-commutative
random variables)–where the at fulfill the q-commutation relations for some covariance …

Coarsening at random: Characterizations, conjectures, counter-examples

RD Gill, MJ Van Der Laan, JM Robins - … of the First Seattle Symposium in …, 1997 - Springer
The notion of coarsening at random (CAR) was introduced by Heitjan and Rubin (1991) to
describe the most general form of randomly grouped, censored, or missing data, for which …

Accardi contra Bell (cum mundi): the impossible coupling

RD Gill - Lecture Notes-Monograph Series, 2003 - JSTOR
An experimentally observed violation of Bell's inequality is supposed to show the failure of
local realism to deal with quantum reality. However, finite statistics and the time sequential …

A noncommutative extended de Finetti theorem

C Köstler - Journal of Functional Analysis, 2010 - Elsevier
The extended de Finetti theorem characterizes exchangeable infinite sequences of random
variables as conditionally iid and shows that the apparently weaker distributional symmetry …

Quantum probability and quantum information theory

H Maassen - … Computation and Cryptography: An Introductory Survey …, 2010 - Springer
From its very birth in the 1920s, quantum theory has been characterized by a certain
strangeness: It seems to run counter to the intuitions that we humans have about the world …

Quantum Markov processes and applications in physics

B Kümmerer - … Independent Increment Processes II: Structure of …, 2005 - Springer
Quantum Markov Processes and Applications in Physics Page 1 Quantum Markov Processes
and Applications in Physics Burkhard Kümmerer Fachbereich Mathematik Technische …

[图书][B] PROBABILITY, INFORMATION, AND PHYSICS: Problems with Quantum Mechanics in the Context of a Novel Probability Theory

P Rocchi - 2024 - World Scientific
Frequently, gamblers are superstitious, and in the past they were familiar with talismanic
gestures and signs to avoid bad luck. Their cultural background was often characterized by …

Filtering and control in quantum optics

L Bouten - arXiv preprint quant-ph/0410080, 2004 - arxiv.org
In this thesis we study continuously observed open quantum systems from the point of view
of quantum filtering theory. The conditioned state of the open system obeys a non …

Noncommutative Independence from the Braid Group

R Gohm, C Köstler - Communications in Mathematical Physics, 2009 - Springer
We introduce 'braidability'as a new symmetry for infinite sequences of noncommutative
random variables related to representations of the braid group B _ ∞. It provides an …

[图书][B] Felix Hausdorff-Gesammelte Werke Band 5: Astronomie, Optik und Wahrscheinlichkeitstheorie

F Hausdorff - 2001 - books.google.com
Band 5 umfaßt die Themenbereiche Astronomie, Optik und Wahrscheinlichkeitstheorie. Er
enthält Hausdorffs Dissertation über die Refraktion des Lichtes in der Atmosphäre, zwei …