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Displaying 3421 – 3440 of 4754

Ratner's property for special flows over irrational rotations under functions of bounded variation. II

Adam Kanigowski (2014)

Colloquium Mathematicae

We consider special flows over the rotation on the circle by an irrational α under roof functions of bounded variation. The roof functions, in the Lebesgue decomposition, are assumed to have a continuous singular part coming from a quasi-similar Cantor set (including the devil's staircase case). Moreover, a finite number of discontinuities is allowed. Assuming that α has bounded partial quotients, we prove that all such flows are weakly mixing and enjoy the weak Ratner property. Moreover, we provide...

Rauzy tilings and bounded remainder sets on the torus.

Zhuravlev, V.G. (2005)

Journal of Mathematical Sciences (New York)

Razumikhin's method in the qualitative theory of processes with delay.

Myshkis, Anatoly D. (1995)

Journal of Applied Mathematics and Stochastic Analysis

Reading along arithmetic progressions

T. Downarowicz (1999)

Colloquium Mathematicae

Given a 0-1 sequence x in which both letters occur with density 1/2, do there exist arbitrarily long arithmetic progressions along which x reads 010101...? We answer the above negatively by showing that a certain regular triadic Toeplitz sequence does not have this property. On the other hand, we prove that if x is a generalized binary Morse sequence then each block can be read in x along some arithmetic progression.

Real analytic convex surfaces with positive topological entropy and rigid body dynamics.

Gabriel P. Paternain (1993)

Manuscripta mathematica

Real and complex transversely symplectic Anosov flows of dimension five

Yong Fang (2004/2005)

Séminaire de théorie spectrale et géométrie

Nous présentons plusieurs résultats de rigidité concernant les flots d’Anosov admettant transversalement des structures symplectiques réelles ou complexes de dimension $5$ .

Real and imaginary parts of polynomial iterates.

Barnes, Julia A., Curry, Clinton P., Schaubroeck, Lisbeth E. (2010)

The New York Journal of Mathematics [electronic only]

Real $C^{k}$ Koebe principle

Weixiao Shen, Michael Todd (2005)

Fundamenta Mathematicae

We prove a $C^{k}$ version of the real Koebe principle for interval (or circle) maps with non-flat critical points.

Real commutative differential operators associated with two-dimensional Abelian varieties.

Mironov, A.E. (2002)

Sibirskij Matematicheskij Zhurnal

Real Hamiltonian forms of affine Toda models related to exceptional Lie algebras.

Gerdjikov, Vladimir S., Grahovski, Georgi G. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Reality conditions of loop solitons genus $g$ : hyperelliptic am functions.

Matsutani, Shigeki (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Realization of any finite jet in a scalar semilinear parabolic equation on the ball in $ℝ^{3}$

Peter Poláčik (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Realizing vector fields without loss of derivatives

Martino Prizzi (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Recent progress in attractors for quintic wave equations

Anton Savostianov, Sergey Zelik (2014)

Mathematica Bohemica

We report on new results concerning the global well-posedness, dissipativity and attractors for the quintic wave equations in bounded domains of $ℝ^{3}$ with damping terms of the form ${(- Δ_{x})}^{θ} \partial_{t} u$ , where $θ = 0$ or $θ = 1 / 2$ . The main ingredient of the work is the hidden extra regularity of solutions that does not follow from energy estimates. Due to the extra regularity of solutions existence of a smooth attractor then follows from the smoothing property when $θ = 1 / 2$ . For $θ = 0$ existence of smooth attractors is more complicated and follows...

Recent results in symplectic geometry

Marc Chaperon (1989)

Banach Center Publications

Recent results on the separatrix splitting for the standard map

V. F. Lazutkin (1992/1993)

Séminaire de théorie spectrale et géométrie

Reconstructing the global dynamics of attractors via the Conley index

Christopher McCord (1999)

Banach Center Publications

Given an unknown attractor 𝓐 in a continuous dynamical system, how can we discover the topology and dynamics of 𝓐? As a practical matter, how can we do so from only a finite amount of information? One way of doing so is to produce a semi-conjugacy from 𝓐 onto a model system 𝓜 whose topology and dynamics are known. The complexity of 𝓜 then provides a lower bound for the complexity of 𝓐. The Conley index can be used to construct a simplicial model and a surjective semi-conjugacy for a large...

Reconstruction phases for Hamiltonian systems on cotangent bundles.

Blaom, Anthony D. (2002)

Documenta Mathematica

Recurrence and mixing recurrence of multiplication operators

Mohamed Amouch, Hamza Lakrimi (2024)

Mathematica Bohemica

Let $X$ be a Banach space, $ℬ (X)$ the algebra of bounded linear operators on $X$ and $(J, ∥ \cdot ∥_{J})$ an admissible Banach ideal of $ℬ (X)$ . For $T \in ℬ (X)$ , let $L_{J, T}$ and $R_{J, T} \in ℬ (J)$ denote the left and right multiplication defined by $L_{J, T} (A) = T A$ and $R_{J, T} (A) = A T$ , respectively. In this paper, we study the transmission of some concepts related to recurrent operators between $T \in ℬ (X)$ , and their elementary operators $L_{J, T}$ and $R_{J, T}$ . In particular, we give necessary and sufficient conditions for $L_{J, T}$ and $R_{J, T}$ to be sequentially recurrent. Furthermore, we prove that $L_{J, T}$ is recurrent if and only...

Récurrence des marches aléatoires et ergodicité du flot géodésique sur les graphes réguliers.

M. Coornaert, A. Papadoppoulos (1996)

Mathematica Scandinavica

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