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January 12
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Organizational Meeting
Monday, January 12, 11:00 AM
Mathematics Department Seminar Room
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January 27
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Speaker: Dogan Comez, NDSU
Title: Structure of some sequence classes good for the modulated ergodic Hilbert transform
Abstract: The class W_{\alpha), 0<\alpha <1, of (complex) sequences which have
finite rated average
will be studied. This class contains the class of sequences of Fourier coefficients of
functions belonging to
L_p [0,2\pi], and some other sequence classes which are known to be universally good for
the modulated ergodic Hilbert transform. |
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February 3
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Speaker: Dogan Comez, NDSU
Title: Structure of some sequence classes good for the modulated ergodic Hilbert transform
(Part II)
Abstract: The class W_{\alpha), 0<\alpha <1, of (complex) sequences which have
finite rated average
will be studied. This class contains the class of sequences of Fourier coefficients of
functions belonging to
L_p [0,2\pi], and some other sequence classes which are known to be universally good for
the modulated ergodic Hilbert transform. |
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February 17
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Speaker: Jim Olsen, NDSU
Abstract: We will discuss the basics of Besicovitch Almost Periodicity and their applications to
weighted ergodic theorems for some general operators, which will also be described and discussed.
Eventually, I would like to give a connection with the return times theorem.
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February 24
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Speaker: Jim Olsen, NDSU
Abstract: (Part II)
We will discuss the basics of Besicovitch Almost Periodicity and their applications to
weighted ergodic theorems for some general operators, which will also be described and discussed.
Eventually, I would like to give a connection with the return times theorem.
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March 03
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Speaker: Jim Olsen, NDSU
Abstract: (Part III)
We will discuss the basics of Besicovitch Almost Periodicity and their applications to
weighted ergodic theorems for some general operators, which will also be described and discussed.
Eventually, I would like to give a connection with the return times theorem.
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April 07
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Speaker: Jim Olsen, NDSU
Abstract:
I intend to review the material briefly already discussed since it's been a while.
Specifically, I'll discuss the weighted ergodic theorem or Dunford-Schwartz operators
and Besicovitch weights as well as the relevant facts about Besicovitch sequences.
Then the Return Times Theorem of Bourgain(and Furstenburg, katznelson and Ornstein)
will be discussed along with a connection to the weighted ergodic theorem with
Besicovitch weights.
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April 14
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Speaker: Jim Olsen, NDSU
Abstract:
We'll discuss the Return Times Theorem of Bourgain(and Furstenburg,
Katznelson and Ornstein) along with a connection to the weighted ergodic
theorem with Besicovitch weights.
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April 21
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No talk. |
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April 28
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Speaker: Brian Chapman, NDSU
Title: Measure Theoretical and Topological Entropy
Abstract:
A goal in the study of dynamical systems is to determine whether or not two
systems are conjugate--that is, if they are essentially the "same." I will
introduce the concept of entropy in both measure preserving and topological
dynamical systems, as it plays an important role in determining conjugacy.
I will calculate the entropy of some simple dynamical systems and give an
example of how entropy can be used to show the conjugacy of two systems (or
lack thereof).
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April 28
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Speaker: Brian Chapman, NDSU
Title: Measure Theoretical and Topological Entropy (Part II)
Abstract:
A goal in the study of dynamical systems is to determine whether or not two systems are conjugate--that is, if they are essentially the "same." I will introduce the concept of entropy in both measure preserving and topological dynamical systems, as it plays an important role in determining conjugacy. I will calculate the entropy of some simple dynamical systems and give an example of how entropy can be used to show the conjugacy of two systems (or lack thereof).
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