Pennsylvania State University

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20032005

most citedNeutral Theory and Relative Species Abundance in Ecology

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5 papers · 1 filter

math.DS2005

Constructions in elliptic dynamics

Bassam Fayad, Anatole Katok

We present an overview and some new applications of the approximation by conjugation method introduced by Anosov and the second author more than thirty years ago \cite{AK}. Michel…

math.DS2004

Convergence of multiple ergodic averages for some commuting transformations

Nikos Frantzikinakis, Bryna Kra

We prove the $L^{2}$ convergence for the linear multiple ergodic averages of commuting transformations $T_{1}, ..., T_{l}$ , assuming that each map $T_{i}$ and each pair $T_{i} T_{j}^{- 1}$ …

math.DS2004

Polynomial Averages Converge to the Product of Integrals

Nikos Frantzikinakis, Bryna Kra

We answer a question posed by Vitaly Bergelson, showing that in a totally ergodic system, the average of a product of functions evaluated along polynomial times, with polynomials o…

math.DS2004

The Structure of Strongly Stationary Systems

Nikos Frantzikinakis

Motivated by a problem in ergodic Ramsey theory, Furstenberg and Katznelson introduced the notion of strong stationarity, showing that certain recurrence properties hold for arbitr…

math.DS2003

Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy

Joseph P. Previte, Eugene Z. Xia

Let $M$ be a four-holed sphere and $Γ$ the mapping class group of $M$ fixing the boundary $\partial M$ . The group $Γ$ acts on $M_{B} (S L (2, C)) = H o m_{B}^{+} (p i_{1} (M), S L (2, C)) / S L (2, C)$ whic…