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Brownian flow on a finite interval with jump boundary conditions
1.  Department of Mathematics, Box B6230, Baruch College  CUNY, One Bernard Baruch Way, New York, NY 10010, United States 
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Oliver Jenkinson. Every ergodic measure is uniquely maximizing. Discrete & Continuous Dynamical Systems, 2006, 16 (2) : 383392. doi: 10.3934/dcds.2006.16.383 
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Cecilia GonzálezTokman, Anthony Quas. A concise proof of the multiplicative ergodic theorem on Banach spaces. Journal of Modern Dynamics, 2015, 9: 237255. doi: 10.3934/jmd.2015.9.237 
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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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Jialu Fang, Yongluo Cao, Yun Zhao. Measure theoretic pressure and dimension formula for nonergodic measures. Discrete & Continuous Dynamical Systems, 2020, 40 (5) : 27672789. doi: 10.3934/dcds.2020149 
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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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Yuri Kifer. Ergodic theorems for nonconventional arrays and an extension of the Szemerédi theorem. Discrete & Continuous Dynamical Systems, 2018, 38 (6) : 26872716. doi: 10.3934/dcds.2018113 
[7] 
Alex Blumenthal. A volumebased approach to the multiplicative ergodic theorem on Banach spaces. Discrete & Continuous Dynamical Systems, 2016, 36 (5) : 23772403. doi: 10.3934/dcds.2016.36.2377 
[8] 
Luciana A. Alves, Luiz A. B. San Martin. Multiplicative ergodic theorem on flag bundles of semisimple Lie groups. Discrete & Continuous Dynamical Systems, 2013, 33 (4) : 12471273. doi: 10.3934/dcds.2013.33.1247 
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Oliver Jenkinson. Ergodic Optimization. Discrete & Continuous Dynamical Systems, 2006, 15 (1) : 197224. doi: 10.3934/dcds.2006.15.197 
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Vladimir S. Matveev and Petar J. Topalov. Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. Electronic Research Announcements, 2000, 6: 98104. 
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Françoise Demengel. Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators. Discrete & Continuous Dynamical Systems, 2021, 41 (7) : 34653488. doi: 10.3934/dcds.2021004 
[12] 
Yves Derriennic. Some aspects of recent works on limit theorems in ergodic theory with special emphasis on the "central limit theorem''. Discrete & Continuous Dynamical Systems, 2006, 15 (1) : 143158. doi: 10.3934/dcds.2006.15.143 
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Isabeau Birindelli, Françoise Demengel, Fabiana Leoni. Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem. Discrete & Continuous Dynamical Systems, 2021, 41 (7) : 30213029. doi: 10.3934/dcds.2020395 
[14] 
Asaf Katz. On mixing and sparse ergodic theorems. Journal of Modern Dynamics, 2021, 17: 132. doi: 10.3934/jmd.2021001 
[15] 
Ryszard Rudnicki. An ergodic theory approach to chaos. Discrete & Continuous Dynamical Systems, 2015, 35 (2) : 757770. doi: 10.3934/dcds.2015.35.757 
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Roy Adler, Bruce Kitchens, Michael Shub. Stably ergodic skew products. Discrete & Continuous Dynamical Systems, 1996, 2 (3) : 349350. doi: 10.3934/dcds.1996.2.349 
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Alexandre I. Danilenko, Mariusz Lemańczyk. Spectral multiplicities for ergodic flows. Discrete & Continuous Dynamical Systems, 2013, 33 (9) : 42714289. doi: 10.3934/dcds.2013.33.4271 
[18] 
Doǧan Çömez. The modulated ergodic Hilbert transform. Discrete & Continuous Dynamical Systems  S, 2009, 2 (2) : 325336. doi: 10.3934/dcdss.2009.2.325 
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Thierry de la Rue. An introduction to joinings in ergodic theory. Discrete & Continuous Dynamical Systems, 2006, 15 (1) : 121142. doi: 10.3934/dcds.2006.15.121 
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John Kieffer and Enhui Yang. Ergodic behavior of graph entropy. Electronic Research Announcements, 1997, 3: 1116. 
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