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Weekly research seminar
Organizers
- prof. dr hab. Henryk Żołądek
Information
Fridays, 10:15 a.m. , room: 5840Home page
http://www.mimuw.edu.pl/~baranski/dsg/seminar/Research fields
List of talks
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Dec. 2, 2016, 10:15 a.m.
Krzysztof Frączek (Uniwersytet Mikołaja Kopernika)
On ergodicity in periodic systems of Eaton lenses
We consider periodic Eaton lens patterns in the plane. An Eaton lens is a circular lens on the plane which acts as a perfect retroreflector, i.e. so that each ray of light after passing through …
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Nov. 25, 2016, 10:15 a.m.
Anna Zdunik (Uniwersytet Warszawski)
Analityczność wymiaru w losowej dynamice funkcji holomorficznych
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Nov. 4, 2016, 10:15 a.m.
Piotr Mormul (Uniwersytet Warszawski)
Superfixed values and exotic moduli of Goursat flags viewed on the legendrian side
Legendrian curves tangent to a contact structure in 3D have, of late years, been analyzed and - to some extent - locally classified. Their many-times-prolongations are tangent to Goursat distributions and allow to investigate the …
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Oct. 28, 2016, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski)
Inwolutywne homologie Floera i krzywe ostrzowe
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Oct. 14, 2016, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
Separatrix connection and chaotic dynamics in the Hess-Appeltot case
We consider a special situation of the Hess-Appelrot case of the Euler-Poisson system which describes the dynamics of a rigid body about a fixed point. One has an equilibrium point of saddle type with coinciding …
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June 10, 2016, 10:15 a.m.
Feliks Przytycki (IMPAN)
Geometric pressure for multimodal maps of interval via tress of pre-images and via spanning sets
I plan to introduce and discuss generalized multimodal maps, to prove independence of geometric pressure of a "root" point, for most points and to discuss the possible equality to the pressure via spanning sets. (See …
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June 3, 2016, 10:15 a.m.
Krzysztof Barański (Uniwersytet Warszawski)
Wandering domains and singularities of meromorphic functions
We discuss the relation between Baker and wandering domains for transcendental meromorphic functions and the dynamical behaviour of the singular values of the map.
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May 20, 2016, 10:15 a.m.
Marco Lopez (Uniwersytet Warszawski)
Hausdorff dimension of limit sets for non-autonomous iterated function systems
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May 13, 2016, 10:15 a.m.
Marcin Bobieński (Uniwersytet Warszawski)
On the reduction of the degree of differential equation. The quadratic Darboux case
It is well known that Abelian integrals satisfy the Linear ODE of Fuchs type. The order of quation (generically) coincide to the dimension of the first homology group of the respective complex curve. In some …
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April 29, 2016, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
with Stefan Czekalski (First order linear differential equations with involutive delay and hypergeometric functions)
We present an alternative approach to functions satisfying second order linear ordinary differential equations. It turns out that many of them satisfy a first order ordinary differential equation with an involution. The involution acts on …
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April 22, 2016, 10:15 a.m.
Piotr Mormul (Uniwersytet Warszawski)
after [Chitour-Jean-Long 2013] (Desingularization of a completely nonholonomic module of vector fields)
A module of vector fields on an n-dimensional manifold is bracket generating, its nonholonomy degree r is, say, big in comparison to n (r >> n). Its desingularization is a regular distribution of the same …
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April 15, 2016, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
Singerian first integrals
M. Singer has shown that a polynomial plane vector field which has a first integral of Liouville type admits an integrating factor of Darboux type. We show that such integral can be represented as a …
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April 8, 2016, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski / IMPAN)
Solid angles, magnetic fields and Seifert hypersurfaces
Given a knot K in R^3 we define a function F that assigns to a point x away of K the solid angle of a surface spanned by K. This is closely related to a …
