
Previous Article
Expansiveness, specification, and equilibrium states for random bundle transformations
 DCDS Home
 This Issue

Next Article
Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos
Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure
1.  Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States 
2.  Department of Mathematics, Penn State University, University Park, State College, PA 16802, United States 
It is shown in the appendix that a Riemannian metric preserved by a weakly mixing diffeomorphism can not be square integrable.
[1] 
Rui Kuang, Xiangdong Ye. The return times set and mixing for measure preserving transformations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (4) : 817827. doi: 10.3934/dcds.2007.18.817 
[2] 
Roland Gunesch, Philipp Kunde. Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior. Discrete & Continuous Dynamical Systems  A, 2018, 38 (4) : 16151655. doi: 10.3934/dcds.2018067 
[3] 
Piotr Gwiazda, Piotr Orlinski, Agnieszka Ulikowska. Finite range method of approximation for balance laws in measure spaces. Kinetic & Related Models, 2017, 10 (3) : 669688. doi: 10.3934/krm.2017027 
[4] 
Sebastián Ferrer, Francisco Crespo. Alternative anglebased approach to the $\mathcal{KS}$Map. An interpretation through symmetry and reduction. Journal of Geometric Mechanics, 2018, 10 (3) : 359372. doi: 10.3934/jgm.2018013 
[5] 
Hadda Hmili. Non topologically weakly mixing interval exchanges. Discrete & Continuous Dynamical Systems  A, 2010, 27 (3) : 10791091. doi: 10.3934/dcds.2010.27.1079 
[6] 
François Blanchard, Wen Huang. Entropy sets, weakly mixing sets and entropy capacity. Discrete & Continuous Dynamical Systems  A, 2008, 20 (2) : 275311. doi: 10.3934/dcds.2008.20.275 
[7] 
Ralf Spatzier, Lei Yang. Exponential mixing and smooth classification of commuting expanding maps. Journal of Modern Dynamics, 2017, 11: 263312. doi: 10.3934/jmd.2017012 
[8] 
Sorin Micu, Ademir F. Pazoto. Almost periodic solutions for a weakly dissipated hybrid system. Mathematical Control & Related Fields, 2014, 4 (1) : 101113. doi: 10.3934/mcrf.2014.4.101 
[9] 
Roland Zweimüller. Asymptotic orbit complexity of infinite measure preserving transformations. Discrete & Continuous Dynamical Systems  A, 2006, 15 (1) : 353366. doi: 10.3934/dcds.2006.15.353 
[10] 
S. Eigen, A. B. Hajian, V. S. Prasad. Universal skyscraper templates for infinite measure preserving transformations. Discrete & Continuous Dynamical Systems  A, 2006, 16 (2) : 343360. doi: 10.3934/dcds.2006.16.343 
[11] 
Wacław Marzantowicz, Justyna Signerska. Firing map of an almost periodic input function. Conference Publications, 2011, 2011 (Special) : 10321041. doi: 10.3934/proc.2011.2011.1032 
[12] 
Ian Melbourne, Dalia Terhesiu. Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure. Journal of Modern Dynamics, 2018, 12: 285313. doi: 10.3934/jmd.2018011 
[13] 
Davit Martirosyan. Exponential mixing for the whiteforced damped nonlinear wave equation. Evolution Equations & Control Theory, 2014, 3 (4) : 645670. doi: 10.3934/eect.2014.3.645 
[14] 
Nasab Yassine. Quantitative recurrence of some dynamical systems preserving an infinite measure in dimension one. Discrete & Continuous Dynamical Systems  A, 2018, 38 (1) : 343361. doi: 10.3934/dcds.2018017 
[15] 
Denis Volk. Almost every interval translation map of three intervals is finite type. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 23072314. doi: 10.3934/dcds.2014.34.2307 
[16] 
Ken Ono. Parity of the partition function. Electronic Research Announcements, 1995, 1: 3542. 
[17] 
James Benn. Fredholm properties of the $L^{2}$ exponential map on the symplectomorphism group. Journal of Geometric Mechanics, 2016, 8 (1) : 112. doi: 10.3934/jgm.2016.8.1 
[18] 
Andrea Tosin, Paolo Frasca. Existence and approximation of probability measure solutions to models of collective behaviors. Networks & Heterogeneous Media, 2011, 6 (3) : 561596. doi: 10.3934/nhm.2011.6.561 
[19] 
Denis Gaidashev, Tomas Johnson. Dynamics of the universal areapreserving map associated with perioddoubling: Stable sets. Journal of Modern Dynamics, 2009, 3 (4) : 555587. doi: 10.3934/jmd.2009.3.555 
[20] 
Vittorino Pata. Exponential stability in linear viscoelasticity with almost flat memory kernels. Communications on Pure & Applied Analysis, 2010, 9 (3) : 721730. doi: 10.3934/cpaa.2010.9.721 
2018 Impact Factor: 1.143
Tools
Metrics
Other articles
by authors
[Back to Top]