一道本不卡免费高清

Seminars and Colloquia

DnA Seminar

Nov 28

12:00 pm

Exley Science Center Tower ESC 638

Nov 21

12:00 pm

一道本不卡免费高清Exley Science Center Tower ESC 638

Nov 14

12:00 pm

Exley Science Center Tower ESC 638

Speaker: Tamara Kucherenko (City College of New York) Title: Measures of maximal entropy for suspension flows over the fullshift Abstract: Weconsider suspension flows with continuous roof function over the full shift ona finite alphabet. For any positive entropy subshift of finite type Y, we showthere exists a roof function such that the measure(s) of maximal entropy forthe suspension flow over the full shiftare exactly the lifts of themeasure(s) of maximal entropy for Y. In the case when Yistransitive, this gives a unique measure of maximal entropy for the flow whichis not fully supported. If Yhas more than one transitive component, allwith the same entropy, this gives explicit examples of suspension flows overthe full shift with multiple measures of maximal entropy. This contrasts withthe case of a H\"older continuous roof function where it is well known themeasure of maximal entropy is unique and fully supported. This is joint workwith Dan Thompson.

Nov 7

12:00 pm

Exley Science Center Tower ESC 638

Oct 31

12:00 pm

Exley Science Center Tower ESC 638

Speaker: Shahriar Mirzadeh, Brandeis University Title: Dimension estimates for the set of points with non-denseorbit in homogeneous spaces. Abstract: In this talk we study the set of points in a homogeneousspace whose orbit escapes the complement of a fixed compact subset. We find anupper bound for the Hausdorff dimension of this set. This extends the work ofKadyrov, where he found an upper bound for the Hausdorff dimension of the setof points whose orbit misses a fixed ball of sufficiently small radius in acompact homogeneous space. We can also use our main result to produce newapplications to Diophantine approximation. This is joint work with DmitryKleinbock.

Oct 17

12:00 pm

Exley Science Center Tower ESC 638

Speaker: Thang Nguyen, NYU Title: Hyperbolic rank rigidity Abstract: Motivated by thequestion about (Euclidean) rank rigidity, whether a closed nonpositively curvedmanifold with every geodesic locally contained in a flat is locally symmetric,we consider the question where flat is replaced by hyperbolic plane. Thequestion about Euclidean rank rigidity was answered positive byBallmann-Brin-Eberline and Burns-Spatzier in 80s'. For the later one, it hasnot been completely solved yet. It was achieved in many cases by Hamenstadt andConstantine. We give a positive answer for the case quarter-pinched manifolds,which we use different technique with the ones of Hamenstadt or Constantine.The main tool is from dynamics of Lyapunov distributions and a lemma by Foulon.I will talk about difficulty and ideas of proofs. This is a joint work with C.Connell and R. Spatzier.

Oct 10

12:00 pm

一道本不卡免费高清Exley Science Center Tower ESC 638

Oct 3

12:00 pm

一道本不卡免费高清Exley Science Center Tower ESC 638

Sep 26

12:00 pm

一道本不卡免费高清Exley Science Center Tower ESC 638

Sep 19

12:00 pm

Exley Science Center Tower ESC 638

Speaker: Tamara Kucherenko (City College of New York) Title: Measures of maximal entropy for suspension flows over the fullshift Abstract: Weconsider suspension flows with continuous roof function over the full shift ona finite alphabet. For any positive entropy subshift of finite type Y, we showthere exists a roof function such that the measure(s) of maximal entropy forthe suspension flow over the full shiftare exactly the lifts of themeasure(s) of maximal entropy for Y. In the case when Yistransitive, this gives a unique measure of maximal entropy for the flow whichis not fully supported. If Yhas more than one transitive component, allwith the same entropy, this gives explicit examples of suspension flows overthe full shift with multiple measures of maximal entropy. This contrasts withthe case of a H\"older continuous roof function where it is well known themeasure of maximal entropy is unique and fully supported. This is joint workwith Dan Thompson.

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