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Universal skyscraper templates for infinite measure preserving transformations
Tiling Abelian groups with a single tile
1.  Northeastern University, Department of Mathematics, Boston, MA 02115 
2.  University of Massachusetts Lowell, Department of Mathematics, One University Avenue, Lowell, MA 01854, United States 
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Jon Chaika, Howard Masur. There exists an interval exchange with a nonergodic generic measure. Journal of Modern Dynamics, 2015, 9: 289304. doi: 10.3934/jmd.2015.9.289 
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Nuno Luzia. On the uniqueness of an ergodic measure of full dimension for nonconformal repellers. Discrete & Continuous Dynamical Systems, 2017, 37 (11) : 57635780. doi: 10.3934/dcds.2017250 
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A. Pedas, G. Vainikko. Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations. Communications on Pure & Applied Analysis, 2006, 5 (2) : 395413. doi: 10.3934/cpaa.2006.5.395 
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Roland Zweimüller. Asymptotic orbit complexity of infinite measure preserving transformations. Discrete & Continuous Dynamical Systems, 2006, 15 (1) : 353366. doi: 10.3934/dcds.2006.15.353 
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S. Eigen, A. B. Hajian, V. S. Prasad. Universal skyscraper templates for infinite measure preserving transformations. Discrete & Continuous Dynamical Systems, 2006, 16 (2) : 343360. doi: 10.3934/dcds.2006.16.343 
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David Ralston, Serge Troubetzkoy. Ergodic infinite group extensions of geodesic flows on translation surfaces. Journal of Modern Dynamics, 2012, 6 (4) : 477497. doi: 10.3934/jmd.2012.6.477 
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Nasab Yassine. Quantitative recurrence of some dynamical systems preserving an infinite measure in dimension one. Discrete & Continuous Dynamical Systems, 2018, 38 (1) : 343361. doi: 10.3934/dcds.2018017 
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Guizhen Cui, Wenjuan Peng, Lei Tan. On the topology of wandering Julia components. Discrete & Continuous Dynamical Systems, 2011, 29 (3) : 929952. doi: 10.3934/dcds.2011.29.929 
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Scott Schmieding, Rodrigo Treviño. Random substitution tilings and deviation phenomena. Discrete & Continuous Dynamical Systems, 2021, 41 (8) : 38693902. doi: 10.3934/dcds.2021020 
[18] 
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 
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Alexander Blokh. Necessary conditions for the existence of wandering triangles for cubic laminations. Discrete & Continuous Dynamical Systems, 2005, 13 (1) : 1334. doi: 10.3934/dcds.2005.13.13 
[20] 
Song Shao, Xiangdong Ye. Nonwandering sets of the powers of maps of a star. Discrete & Continuous Dynamical Systems, 2003, 9 (5) : 11751184. doi: 10.3934/dcds.2003.9.1175 
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