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Mean action and the Calabi invariant. September 14, 2015. I recently posted a new paper, “ Mean action and the Calabi invariant. 8220; There is a bit of a story about where this paper comes from; I didn’t try to explain this in the paper, in order to keep things focused, so let me tell the story here. In some previous posts on this blog, for example here. I discussed the question of short Reeb orbits. Namely, given a contact form. On a closed three-manifold. Still an interesting question to think about.

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floerhomology | floerhomology.wordpress.com Reviews

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Mean action and the Calabi invariant. September 14, 2015. I recently posted a new paper, “ Mean action and the Calabi invariant. 8220; There is a bit of a story about where this paper comes from; I didn’t try to explain this in the paper, in order to keep things focused, so let me tell the story here. In some previous posts on this blog, for example here. I discussed the question of short Reeb orbits. Namely, given a contact form. On a closed three-manifold. Still an interesting question to think about.

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floerhomology | floerhomology.wordpress.com Reviews

https://floerhomology.wordpress.com

Mean action and the Calabi invariant. September 14, 2015. I recently posted a new paper, “ Mean action and the Calabi invariant. 8220; There is a bit of a story about where this paper comes from; I didn’t try to explain this in the paper, in order to keep things focused, so let me tell the story here. In some previous posts on this blog, for example here. I discussed the question of short Reeb orbits. Namely, given a contact form. On a closed three-manifold. Still an interesting question to think about.

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floerhomology.wordpress.com

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July | 2015 | floerhomology

https://floerhomology.wordpress.com/2015/07

Monthly Archives: July 2015. An alternate definition of local contact homology. July 16, 2015. This blog has been dormant for a while, but I have a backlog of topics to write about. The following is something I meant to write after the AIM workshop last December, where I suggested this in a discussion. 1. … Continue reading →. Create a free website or blog at WordPress.com.

2

November | 2013 | floerhomology

https://floerhomology.wordpress.com/2013/11

Monthly Archives: November 2013. Problem with cylindrical cobordism maps fixed? November 15, 2013. In a previous post, I discussed the problem of defining cylindrical contact homology for a contact three-manifold with no contractible Reeb orbits. (In that post I assumed for simplicity that there are no bad Reeb orbits, but I will allow … Continue reading →. Hidden branched covers of trivial cylinders. November 5, 2013. November 1, 2013. What is the geometric meaning of ECH capacities? November 1, 2013.

3

September | 2013 | floerhomology

https://floerhomology.wordpress.com/2013/09

Monthly Archives: September 2013. An obstruction to cylindrical contact homology? September 8, 2013. Last week I was at a very nice conference at IMPA, and one of the topics of informal discussion was to what extent cylindrical contact homology can be defined, in the absence of contractible Reeb orbits, but without using polyfolds. … Continue reading →. A magic trick for defining obstruction bundles. September 4, 2013. Create a free website or blog at WordPress.com.

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August | 2014 | floerhomology

https://floerhomology.wordpress.com/2014/08

Monthly Archives: August 2014. Symplectic embeddings of polydisks into polydisks. August 11, 2014. If I am not mistaken, the methods in the previous post (plus a conjecture about the ECH chain complex of perturbed boundaries of convex toric domains) can be used to show that if are real numbers with and , and … Continue reading →. August 6, 2014. Blog at WordPress.com.

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floerhomology | Page 2

https://floerhomology.wordpress.com/page/2

Newer posts →. A guest post by Dans C-G and P. November 24, 2014. The following is a guest post by Dan Cristofaro-Gardiner and Dan Pomerleano. If anyone else is interested in contributing a guest post, please feel free to contact me. A blog is a good outlet for short or informal mathematical thoughts which might not have a place in a traditional publication, and guest posting is convenient if you are not yet ready to start your own blog. -M.H.]. What can we say about the minimum number of Reeb orbits?

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Dynamics of the Weil-Petersson flow: basic geometry of the Weil-Petersson metric II | Weblog

https://pfzhang.wordpress.com/2015/07/02/dynamics-of-the-weil-petersson-flow-basic-geometry-of-the-weil-petersson-metric-ii

Discussions (mainly my notes) related to Dynamics. Dynamics of the Weil-Petersson flow: basic geometry of the Weil-Petersson metric II. In the first post. Of this series, we planned to discuss in the third and fourth posts the proof of the following ergodicity criterion for geodesic flows in incomplete negatively curved manifolds of Burns-Masur-Wilkinson:. I) the universal cover $latex {M}&fg=000000$ of $latex {N}&fg=000000$ is geodesically convex. 7,622 more words. July 2, 2015 at 5:12 am. Leave a Reply...

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Dynamics of the Weil-Petersson flow: basic geometry of the Weil-Petersson metric I | Weblog

https://pfzhang.wordpress.com/2015/07/02/dynamics-of-the-weil-petersson-flow-basic-geometry-of-the-weil-petersson-metric-i

Discussions (mainly my notes) related to Dynamics. Dynamics of the Weil-Petersson flow: basic geometry of the Weil-Petersson metric I. Today we will define the Weil-Petersson (WP) metric on the cotangent bundle of the moduli spaces of curves and, after that, we will see that the WP metric satisfies the first three items of the. Of Burns-Masur-Wilkinson (stated as Theorem 3 in the previous post. 7,184 more words. July 2, 2015 at 5:11 am. Under Uncategorized. No Comments. Or leave a trackback: Trackback URL.

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Perron–Frobenius theorem | Weblog

https://pfzhang.wordpress.com/2015/05/23/perron-frobenius-theorem

Discussions (mainly my notes) related to Dynamics. Today I attended a lecture given by Vaughn Climenhaga. He presented a proof of the following version of Perron–Frobenius theorem:. Be the set of probability vectors,. Be a stochastic matrix with positive entries. Then. 8211;there is a positive probability. Therefore there exists some point. 2) Suppose on the contrary that there exists. That is also fixed by. Fixes every vector in the plane. In particular the points on. 3) We use the norm. Dynamics of the...

pfzhang.wordpress.com

Some notes | Weblog

https://pfzhang.wordpress.com/2015/04/18/some-notes-2

Discussions (mainly my notes) related to Dynamics. Be a complete manifold,. Be the set of compact/closed subsets of $M$. Let. Be a complete metric space. Is said to be upper-semicontinuous at. For any open neighbourhood. There exists a neighbourhood. Viewed as a multivalued function, let. Be the graph of. Is usc. if and only if. Is a closed graph. Is said to be lower-semicontinuous at. For any open set. Or equally, for any. Be the set of. Note that it suffices to consider those points. The real decay rate.

pfzhang.wordpress.com

Regularity of center manifold | Weblog

https://pfzhang.wordpress.com/2014/12/10/regularity-of-center-manifold

Discussions (mainly my notes) related to Dynamics. Regularity of center manifold. Is a fixed point of the generated flow on. Be the splitting into stable, center and unstable directions. Moreover, there are three invariant manifolds (at least locally) passing through. And tangent to the corresponding subspaces at. Theorem (Pliss). For any. Generally speaking, the size of the center manifold given above depends on the pre-fixed regularity requirement. Theoretically, there may not be a. Is tangent to plane.

pfzhang.wordpress.com

Admissible perturbations of the tangent map | Weblog

https://pfzhang.wordpress.com/2015/02/06/admissible-perturbations-of-the-tangent-map

Discussions (mainly my notes) related to Dynamics. Admissible perturbations of the tangent map. Franks’s Lemma is a major tool in the study of differentiable dynamical systems. It says that along a simple orbit segment. Can be realized via a perturbation of the map. Which preserves the orbit segment). Moreover, such a perturbation is localized in a neighborhood of. And it can be made arbitrarily. Be a strictly convex domain,. Be the orbit along the/a diameter of. Is 2-period. Let. Is actually realizable ...

pfzhang.wordpress.com

Martingale and its application to dynamical systems | Weblog

https://pfzhang.wordpress.com/2015/06/01/martingale-and-its-application-to-dynamical-systems

Discussions (mainly my notes) related to Dynamics. Martingale and its application to dynamical systems. In the last week of May I attended two lectures given by Professor Matthew Nicol. Be a prob space with a. Measurable r.v. and. If and only if. Be a stationary ergodic process with stationary initial distribution. A basic problem is to find sufficient conditions on. Satisfies the central limit theorem (CLT). Where the limit variance is given by. Be a conservative diffeomorphism on. For all test function.

pfzhang.wordpress.com

Dynamics of the Weil-Petersson flow: Introduction | Weblog

https://pfzhang.wordpress.com/2015/07/02/dynamics-of-the-weil-petersson-flow-introduction

Discussions (mainly my notes) related to Dynamics. Dynamics of the Weil-Petersson flow: Introduction. Are organizing the event Young mathematicians in Dynamical Systems. Luminy/Marseille, France) from November 25 to 29, 2013. This event is part of the activities around the chaire Jean-Morlet. Of Boris Hasselblatt. Among the topics scheduled in this event, there is a mini-course by Keith Burns. And myself around the dynamics of the Weil-Petersson (WP) geodesic flow. 4,677 more words. You are commenting us...

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Mean action and the Calabi invariant. September 14, 2015. I recently posted a new paper, “ Mean action and the Calabi invariant. 8220; There is a bit of a story about where this paper comes from; I didn’t try to explain this in the paper, in order to keep things focused, so let me tell the story here. In some previous posts on this blog, for example here. I discussed the question of short Reeb orbits. Namely, given a contact form. On a closed three-manifold. Still an interesting question to think about.

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