Results 11 to 20 of about 361 (48)

An Abramov formula for stationary spaces of discrete groups [PDF]

open access: yes, 2012
Let (G,mu) be a discrete group equipped with a generating probability measure, and let Gamma be a finite index subgroup of G. A mu-random walk on G, starting from the identity, returns to Gamma with probability one.
Abramov   +8 more
core   +2 more sources

Absence of singular continuous diffraction for discrete multi-component particle models [PDF]

open access: yes, 2007
Particle models with finitely many types of particles are considered, both on $\mathbb{Z}^d$ and on discrete point sets of finite local complexity. Such sets include many standard examples of aperiodic order such as model sets or certain substitution ...
Baake, Michael, Zint, Natali
core   +2 more sources

Factors of IID on Trees [PDF]

open access: yes, 2016
Classical ergodic theory for integer-group actions uses entropy as a complete invariant for isomorphism of IID (independent, identically distributed) processes (a.k.a. product measures). This theory holds for amenable groups as well.
Lyons, Russell
core   +1 more source

Asymptotics for hitting times

open access: yes, 2005
In this paper we characterize possible asymptotics for hitting times in aperiodic ergodic dynamical systems: asymptotics are proved to be the distribution functions of subprobability measures on the line belonging to the functional class {6pt} {-3mm}(A ...
Kupsa, M., Lacroix, Y.
core   +2 more sources

Extreme Value Laws in Dynamical Systems for Non-smooth Observations [PDF]

open access: yes, 2010
We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extreme Value Laws in the case of dynamical systems with measures which are not absolutely continuous with respect to Lebesgue.
Ana Cristina   +3 more
core   +2 more sources

Measurable Vizing’s theorem

open access: yesForum of Mathematics, Sigma
We prove a full measurable version of Vizing’s theorem for bounded degree Borel graphs, that is, we show that every Borel graph $\mathcal {G}$ of degree uniformly bounded by $\Delta \in \mathbb {N}$ defined on a standard probability space
Jan Grebík
doaj   +1 more source

Extremal dichotomy for uniformly hyperbolic systems [PDF]

open access: yes, 2015
We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria   +4 more
core   +2 more sources

Analysis of a fractional-order prey-predator model with prey refuge and predator harvest using the consumption number: Holling type III functional response

open access: yesComputational and Mathematical Biophysics
In this article, we study a fractional-order prey-predator model incorporating prey refuge and predator harvesting, employing a Holling type III functional response.
Aguegboh Nnaemeka Stanley   +5 more
doaj   +1 more source

Extreme Value Laws for sequences of intermittent maps [PDF]

open access: yes, 2016
We study non-stationary stochastic processes arising from sequential dynamical systems built on maps with a neutral fixed points and prove the existence of Extreme Value Laws for such processes.
Freitas, Ana Cristina Moreira   +2 more
core   +3 more sources

Existence and uniqueness of solution for a fractional hepatitis B model

open access: yesComputational and Mathematical Biophysics
Understanding the dynamics of infectious diseases using mathematical modeling is essential for developing prevention and control measures. Hepatitis B is still a major public health issue in many places, including Kenya, where the high incidence of ...
Aguegboh Nnaemeka Stanley   +5 more
doaj   +1 more source

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