Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads

On the infinite dimensionality of the middle {$L\sp 2$} cohomology of complex domains

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195173354 ◽

1989 ◽

Vol 25 (3) ◽

pp. 499-502 ◽

Cited By ~ 7

Author(s):

Takeo Ohsawa

Keyword(s):

Infinite Dimensionality

Proper Hereditary Shape Equivalences Preserve Small Weak Infinite Dimensionality

Proceedings of the American Mathematical Society ◽

10.2307/2047756 ◽

1990 ◽

Vol 110 (4) ◽

pp. 1055

Author(s):

Richard P. Millspaugh

Keyword(s):

Infinite Dimensionality

Mild infinite dimensionality of βX and βX − X for metrizable X

Topology and its Applications ◽

10.1016/0166-8641(93)90143-2 ◽

1993 ◽

Vol 51 (2) ◽

pp. 93-108 ◽

Cited By ~ 2

Author(s):

Eric K. van Douwen

Keyword(s):

Infinite Dimensionality

ON AUTOPARAMETRIC ROUTE LEADING TO CHAOS IN DYNAMICAL SYSTEMS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127402004711 ◽

2002 ◽

Vol 12 (04) ◽

pp. 819-826 ◽

Cited By ~ 4

Author(s):

S. N. VLADIMIROV ◽

V. V. NEGRUL

Keyword(s):

Numerical Simulation ◽

Phase Space ◽

Dynamical Systems ◽

Equilibrium State ◽

Dynamic Systems ◽

Strange Attractor ◽

Oscillatory Systems ◽

Physical Experiments ◽

Bifurcation Phenomena ◽

Infinite Dimensionality

Features of transition from regular types of oscillations to chaos in dynamic systems with finite and infinite dimensionality of phase space have been discussed. It has been found that for some types of nonlinearity, transition to the chaotic motion in these systems occurs according to the identical autoparametric scenario. The sequence of bifurcation phenomena looks as follows: equilibrium state ⇒ limit cycle ⇒ semitorus ⇒ strange attractor. On the basis of the results of numerical simulation a conclusion was made about the typical nature of such a scenario. The results of numerical calculations are confirmed by results of physical experiments carried out on the base of radiophysical self-oscillatory systems.

Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras

Electronic Proceedings in Theoretical Computer Science ◽

10.4204/eptcs.236.11 ◽

2017 ◽

Vol 236 ◽

pp. 161-173 ◽

Cited By ~ 1

Author(s):

Mathys Rennela ◽

Sam Staton ◽

Robert Furber

Keyword(s):

Quantum Foundations ◽

Matrix Algebras ◽

Infinite Dimensionality

On a theorem on infinite dimensionality of an associative algebra

American Mathematical Society Translations: Series 2 - Sixteen Papers on Number Theory and Algebra ◽

10.1090/trans2/082/15 ◽

1969 ◽

pp. 237-242 ◽

Cited By ~ 2

Author(s):

È. B. Vinberg

Keyword(s):

Associative Algebra ◽

Infinite Dimensionality

Infinite Dimensionality Results for MAP Estimation

Stochastic Analysis ◽

10.1016/b978-0-12-481005-1.50034-x ◽

1991 ◽

pp. 513-532

Author(s):

Ofer Zeitouni

Keyword(s):

Map Estimation ◽

Infinite Dimensionality

On the infinite dimensionality of the Dolbeault cohomology groups

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1975-0379887-2 ◽

1975 ◽

Vol 52 (1) ◽

pp. 293-293 ◽

Cited By ~ 11

Author(s):

Henry B. Laufer

Keyword(s):

Cohomology Groups ◽

Dolbeault Cohomology ◽

Infinite Dimensionality

C-spaces and matrix of infinite-dimensionality

Topology and its Applications ◽

10.1016/j.topol.2010.07.014 ◽

2010 ◽

Vol 157 (17) ◽

pp. 2622-2634 ◽

Cited By ~ 3

Author(s):

V.V. Fedorchuk

Keyword(s):

Infinite Dimensionality

Weak infinite-dimensionality in Cartesian products with the Menger Property

Topology and its Applications ◽

10.1016/0166-8641(94)00029-3 ◽

1995 ◽

Vol 61 (1) ◽

pp. 85-94 ◽

Cited By ~ 4

Author(s):

Roman Pol

Keyword(s):

Cartesian Products ◽

Infinite Dimensionality ◽

Menger Property