Results 11 to 20 of about 43 (41)

On the application of ergodic theory to alternating Engel series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 12, Page 813-819, 2001., 2001
We investigate the ergodic behaviour of the basic operator which generates the modified Engel‐type alternating series representations of any number in (0, 1] in terms of rationals.
C. Ganatsiou
wiley   +1 more source

Ergodicity of stochastically forced large scale geophysical flows

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 6, Page 313-320, 2001., 2001
We investigate the ergodicity of 2D large scale quasigeostrophic flows under random wind forcing. We show that the quasigeostrophic flows are ergodic under suitable conditions on the random forcing and on the fluid domain, and under no restrictions on viscosity, Ekman constant or Coriolis parameter.
Jinqiao Duan, Beniamin Goldys
wiley   +1 more source

About the existence of the thermodynamic limit for some deterministic sequences of the unit circle

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 857-863, 2000., 2000
We show that in the set Ω=ℝ+×(1,+∞)⊂ℝ+2, endowed with the usual Lebesgue measure, for almost all (h, λ) ∈ Ω the limit limn→+∞(1/n)ln|h(λn−λ−n)mod[-12,12)| exists and is equal to zero. The result is related to a characterization of relaxation to equilibrium in mixing automorphisms of the two‐torus.
Stefano Siboni
wiley   +1 more source

Hyperbolic billiards with nearly flat focusing boundaries

open access: yes, 2007
The standard Wojtkowski–Markarian–Donnay–Bunimovich technique for the hyperbolicity of focusing or mixed billiards in the plane requires the diameter of a billiard table to be of the same order as the largest ray of curvature along the focusing boundary.
L. Bussolari   +3 more
core   +1 more source

Revisiting linearly extended discrete functions

open access: yesJournal of Mathematical Cryptology
The authors introduced a new family of cryptographic schemes in a previous research article, which includes many practical encryption schemes, such as the Feistel family. Given a finite field of order qq, any n>m≥0n\gt m\ge 0, the authors described a new
Gravel Claude, Panario Daniel
doaj   +1 more source

Central Limit Theorem for Random “Contractive” Functions on Interval

open access: yesAnnales Mathematicae Silesianae
We use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties.
Block Maciej   +2 more
doaj   +1 more source

Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT

open access: yesForum of Mathematics, Sigma
We show that the measure of maximal entropy of every complex Hénon map is exponentially mixing of all orders for Hölder observables. As a consequence, the Central Limit Theorem holds for all Hölder observables.
Fabrizio Bianchi, Tien-Cuong Dinh
doaj   +1 more source

Prime numbers in typical continued fraction expansions. [PDF]

open access: yesBoll Unione Mat Ital (2008), 2023
Schindler TI, Zweimüller R.
europepmc   +1 more source

Mixing of fast random walks on dynamic random permutations. [PDF]

open access: yesProbab Theory Relat Fields
Avena L   +3 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy