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1. Cosma Shalizi has documented their own pathway into ergodic theory, with an eye towards applications in statistical learning theory (but with many side branches). You might find the annotated bibliography helpful.

2. More specifically, I understand the question as being motivated by a plan to embark on original research at the interface of ergodic theory and stochastic analysis. For such a purpose it seems helpful if the topic is less mature, less well established, and perhaps less well covered by "landmark papers".
   One example: Ergodicity economics is a branch of mathematical finance at this interface. A foundational paper is by Ole Peters (2019). There are intriguing connections with machine learning.

1. Concerning "landmark papers", Cosma Shalizi has documented their own pathway into ergodic theory, with an eye towards applications in statistical learning theory (but with many side branches). You might find their annotated bibliography helpful.

2. Concerning research directions, I understand the question as being motivated by a plan to embark on original research at the interface of ergodic theory and stochastic analysis. For such a purpose it seems helpful if the topic is less mature, less well established, and perhaps less well covered by "landmark papers".
   One example: Ergodicity economics is a branch of mathematical finance at this interface. A foundational paper is by Ole Peters (2019). There are intriguing connections with machine learning.

Cosma Shalizi has documented their own pathway into ergodic theory, with an eye towards applications in statistical learning theory (but with many side branches). You might find it helpful.

More specifically, I understand the question as being motivated by a plan to embark on original research at the interface of ergodic theory and stochastic analysis. For such a purpose it seems helpful if the topic is less mature, less well established, and perhaps less well covered by "landmark papers".
Ergodicity economics is a branch of mathematical finance at this interface. A foundational paper is by Ole Peters (2019). Google Scholar can point you to an extensive literature.

1. Cosma Shalizi has documented their own pathway into ergodic theory, with an eye towards applications in statistical learning theory (but with many side branches). You might find the annotated bibliography helpful.

2. More specifically, I understand the question as being motivated by a plan to embark on original research at the interface of ergodic theory and stochastic analysis. For such a purpose it seems helpful if the topic is less mature, less well established, and perhaps less well covered by "landmark papers".
   One example: Ergodicity economics is a branch of mathematical finance at this interface. A foundational paper is by Ole Peters (2019). There are intriguing connections with machine learning.

Cosma Shalizi has documented their own pathway into ergodic theory, with an eye towards applications in statistical learning theory (but with many side branches). You might find it helpful.

More specifically, I understand the question as being motivated by a plan to embark on original research at the interface of ergodic theory and stochastic analysis. For such a purpose it seems helpful if the topic is less mature, less well established, and perhaps less well covered by "landmark papers".

 Ergodicity economics is a branch of mathematical finance at this interface. A foundational paper is by Ole Peters (2019). Google Scholar can point you to an extensive literature.

Cosma Shalizi has documented their own pathway into ergodic theory, with an eye towards applications in statistical learning theory (but with many side branches). You might find it helpful.

More specifically, I understand the question as being motivated by a plan to embark on original research at the interface of ergodic theory and stochastic analysis. For such a purpose it seems helpful if the topic is less mature, less well established, and perhaps less well covered by "landmark papers". 
Ergodicity economics is a branch of mathematical finance at this interface. A foundational paper is by Ole Peters (2019). Google Scholar can point you to an extensive literature.