Results 21 to 30 of about 364,452 (273)

Compact families and typical entropy invariants of measure-preserving actions [PDF]

Transactions of the Moscow Mathematical Society, 2021
For a compact set of actions, an entropy of Kushnirenko type is chosen in such a way that it vanishes on this set but takes infinite values for the typical actions.
V. Ryzhikov
semanticscholar   +1 more source

Towers for commuting endomorphisms, and combinatorial applications [PDF]

, 2016
We give an elementary proof of a generalization of Rokhlin's lemma for commuting non-invertible measure-preserving transformations, and we present several combinatorial applications.Comment: 13 pages. Referee's comments incorporated. To appear in Annales
Avila, Artur, Candela, Pablo
core   +3 more sources

Zero Krengel Entropy does not kill Poisson Entropy [PDF]

, 2010
We prove that the notions of Krengel entropy and Poisson entropy for infinite-measure-preserving transformations do not always coincide: We construct a conservative infinite-measure-preserving transformation with zero Krengel entropy (the induced ...
De La Rue, Thierry, Janvresse, Élise
core   +4 more sources

Biinvariant functions on the group of transformations leaving a measure quasiinvariant [PDF]

, 2014
Let $Gms$ be the group of transformations of a Lebesgue space leaving the measure quasiinvariant, let $Ams$ be its subgroup consisting of transformations preserving the measure.
Neretin, Yuri A.
core   +1 more source

Invariance of Poisson measures under random transformations [PDF]

, 2011
We prove that Poisson measures are invariant under (random) intensity preserving transformations whose finite difference gradient satisfies a cyclic vanishing condition.
Privault, Nicolas
core   +2 more sources

On Partially Trace Distance Preserving Maps and Reversible Quantum Channels

Journal of Applied Mathematics, 2013
We give a characterization of trace-preserving and positive linear maps preserving trace distance partially, that is, preservers of trace distance of quantum states or pure states rather than all matrices.
Long Jian, Kan He, Qing Yuan, Fei Wang
doaj   +1 more source

Multiple recurrence for non-commuting transformations along rationally independent polynomials [PDF]

, 2017
We prove a multiple recurrence result for arbitrary measure-preserving transformations along polynomials in two variables of the form $m+p_i(n)$, with rationally independent $p_i$'s with zero constant term. This is in contrast to the single variable case,
Frantzikinakis, Nikos, Zorin-Kranich, Pavel   +1 more
core   +1 more source

Infinite Dimensional Maximal Torus Revisited

Mathematics
Let Tm be the maximal torus of a set of m×m unitary diagonal matrices. Let T be a collection of all maps that rigidly rotate every circle of latitude of the sphere with a fixed angle.
Mohamed Lemine H. Bouleryah, Akram Ali, Piscoran Laurian-Ioan   +2 more
doaj   +1 more source

Predictability, entropy and information of infinite transformations

, 2009
We show that a certain type of quasi finite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets.
Aaronson, Jon, Park, Kyewon Koh
core   +1 more source

The measure in three dimensional Nambu-Goto string theory

, 1996
We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations of the immersed surface and a trivial measure for the area of the surface.
A. Sedrakyan, Ambjørn, Ambjørn, Anderson, Goto, Ibragimov, J. Ambjørn, Johnson, Johnson, Mandelstam, Nambu, Nielsen, Polyakov, Schwarz, Veneziano   +14 more
core   +1 more source