update to Jan 2024

cuhkfractal · Feb 4, 2024 · 530850d · 530850d
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diff --git a/_assets/outlines/2023/o231208.md b/_assets/outlines/2023/o231208.md
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+It is a classical problem to study the evolution of roots of polynomials under application of a differential operator. In this talk, I will discuss the heat evolution of random polynomials with a rotationally invariant root distribution on the complex plane. The limiting root distribution of the heat-evolved random polynomial can be completely determined in terms of its log potential. For example, when a Weyl polynomial, whose root distribution converges to the uniform distribution on the unit disk, undergoes heat flow, the limiting root distribution is uniform on some ellipse until time 1 at which it becomes exactly the semicircle law. This is joint work with Brian Hall, Jonas Jalowy, and Zakhar Kabluchko.
diff --git a/_assets/outlines/2024/o240129.md b/_assets/outlines/2024/o240129.md
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+For an unstable foliation of a diffeomorphism, we use a natural
+dynamical averaging to construct transverse measures, which we call
+maximal, describing the statistics of how the iterates of a given leaf
+intersect the cross-sections to the foliation. For a suitable class of
+diffeomorphisms, we prove that this averaging converges, even exponentially
+fast, and the limit measures have finite ergodic decompositions.
+
+This is a joint work with R. Ures, M. Viana, F. Yang.
diff --git a/index.md b/index.md
@@ -9,10 +9,28 @@ tags = ["graduate"]
 This is an experimental page for the records of *graduate seminars* organized by \href{De-Jun Feng}{https://www.math.cuhk.edu.hk/~djfeng/}. This series of seminars preferring the research interests of the [group](/about/) will normally be held in Friday afternoons at LSB 219. All the files and resources are and shall be purely for academic use. All are welcome.
 
 # Upcoming
-## 2023
-- A series of seminars based on predetermined topics on Fridays at 14:30 HKT in LSB 219.
+## 2024
+- A series of seminars based on predetermined topics on Fridays at 3pm HKT in LSB 219.
+
 # Previous
+## 2024
+- 01/29 Monday \venue{LSB 239}\\
+  **Jiagang Yang**
+  - Affiliation: Universidade Federal Fluminense,  Brazil 
+  - Titile: *Maximal transverse measures of expanding foliations*
+  - \collapsible{Abstract}{\inputoutln{2024/o240129.md}}
+
+- 01/19 Friday \venue{LSB 239}\\
+  **De-Jun Feng 丰德军**
+  - *Some new results about the weak separation condition*.
+
 ## 2023
+- 12/08 Friday \venue{LSB 222} \\
+  **Ching Wei Ho**
+  - Affiliation: Academia Sinica, Taiwan
+  - Titile: *Heat flow on random polynomials*
+  - \collapsible{Abstract}{\inputoutln{2023/o231208.md}}
+
 - 11/10 Friday \venue{LSB 219}\\
   **Jian-Ci Xiao 萧建慈**
   - Baker, Simon. \href{Iterated function systems with super-exponentially close cylinders}{https://doi.org/10.1016/j.aim.2020.107548}. *Adv. Math. , Vol. 379 p. 107548, 13. 2021.* 

diff --git a/stdsem.md b/stdsem.md
@@ -6,7 +6,7 @@ tags = ["schedule", "student"]
 A series of analysis seminars, with an emphasis on the interests of the [group](/about/), normally takes place on Tuesday afternoons at 14:30 HKT in LSB 219. All are welcome.
 
 # Upcoming
-## 2023
+## 2024
 - A reading workshop on Tuesdays at 14:30 HKT in LSB 202.
 
 # Previous