Results 31 to 40 of about 716,820 (275)

A few problems connected with invariant measures of Markov maps - verification of some claims and opinions that circulate in the literature

open access: yesAdvances in Nonlinear Analysis, 2020
It is well known that C2-transformation φ of the unit interval into itself with a Markov partition (2.1) π = {Ik : k ∈ K} admits φ-invariant density g (g ≥ 0, ∥g∥ = 1) if: (2.2) ∣(φn)′∣ ≥ C1 > 1 for some n (expanding condition); (2.3) ∣φ″(x)/(φ′(y))2 ...
Bugiel Peter   +2 more
doaj   +1 more source

Markov extensions and lifting measures for complex polynomials [PDF]

open access: yes, 2005
For polynomials $f$ on the complex plane with a dendrite Julia set we study invariant probability measures, obtained from a reference measure. To do this we follow Keller in constructing canonical Markov extensions. We discuss ``liftability'' of measures
Bruin, Henk, Todd, Mike
core   +3 more sources

Subset currents on free groups [PDF]

open access: yes, 2012
We introduce and study the space of \emph{subset currents} on the free group $F_N$. A subset current on $F_N$ is a positive $F_N$-invariant locally finite Borel measure on the space $\mathfrak C_N$ of all closed subsets of $\partial F_N$ consisting of at
D. D’Angeli   +40 more
core   +1 more source

3D Symmetry Measure Invariant to Subject Pose During Image Acquisition

open access: yesBreast Cancer: Basic and Clinical Research, 2011
In this study we evaluate the influence of subject pose during image acquisition on quantitative analysis of breast morphology. Three (3D) and two-dimensional (2D) images of the torso of 12 female subjects in two different poses; (1) hands-on-hip (HH ...
Manas Kawale   +8 more
doaj   +2 more sources

Subexponential instability implies infinite invariant measure

open access: yes, 2010
We study subexponential instability to characterize a dynamical instability of weak chaos. We show that a dynamical system with subexponential instability has an infinite invariant measure, and then we present the generalized Lyapunov exponent to ...
Collet P.   +3 more
core   +1 more source

Surplus-Invariant Risk Measures [PDF]

open access: yesMathematics of Operations Research, 2020
This paper presents a systematic study of the notion of surplus invariance, which plays a natural and important role in the theory of risk measures and capital requirements. So far, this notion has been investigated in the setting of some special spaces of random variables.
Gao, Niushan, Munari, Cosimo
openaire   +5 more sources

Mixmaster Chaos via the Invariant Measure

open access: yes, 2004
The chaoticity of the Mixmaster is discussed in the framework of Statistical Mechanics by using Misner--Chitre-like variables and an ADM reduction of its dynamics.
Imponente, Giovanni, Montani, Giovanni
core   +2 more sources

Statistical Mechanics of Surjective Cellular Automata [PDF]

open access: yes, 2015
Reversible cellular automata are seen as microscopic physical models, and their states of macroscopic equilibrium are described using invariant probability measures.
Kari, Jarkko, Taati, Siamak
core   +2 more sources

A subgroup formula for f-invariant entropy

open access: yes, 2012
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The f-invariant entropy was developed by Lewis Bowen and is essentially a special case of his measure entropy theory for actions of sofic groups.
Seward, Brandon
core   +1 more source

Harnack Type Inequalities and Applications for SDE Driven by Fractional Brownian Motion [PDF]

open access: yes, 2013
For stochastic differential equation driven by fractional Brownian motion with Hurst parameter $H>1/2$, Harnack type inequalities are established by constructing a coupling with unbounded time-dependent drift.
Fan, Xi-Liang
core   +1 more source

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