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SPS organises a seminar by Nikita Agarwal

SPS organises a seminar by Nikita Agarwal

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SPS organises a seminar by Nikita Agarwal
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School of Physical Sciences

 

Title: Escape Rate in Open Dynamical Systems

 

Speaker:   Nikita Agarwal

IISER, Bhopal


Date: 14 –November  -2019

Time:  4:00 pm , Thursday

Venue: Seminar Room, SPS

 

Abstract :Dynamical systems can be broadly classified into closed and open systems. In a closed system, the orbit of every point lies in the state space for all time, whereas in an open system, the orbit of a point may escape from the state space through a hole. Escape rate represents the average rate at which the orbits escape into the hole. Larger the escape rate, faster the orbits terminate. A classical example of this escape phenomena is the motion of a  ball on a billiard table with a hole (pocket).
In this talk, we will present results on an open dynamical system namely a product of expansive Markov maps on an interval with the hole. Such a map is conjugate to a subshift of finite type. For this class of maps, we examine the dependence of the escape rate on the position and the size of the hole, using techniques from ergodic theory, symbolic dynamics and combinatorics. Theoretical results will be illustrated using examples.

A warm welcome to the modified and updated website of the Centre for East Asian Studies. The East Asian region has been at the forefront of several path-breaking changes since 1970s beginning with the redefining the development architecture with its State-led development model besides emerging as a major region in the global politics and a key hub of the sophisticated technologies. The Centre is one of the thirteen Centres of the School of International Studies, Jawaharlal Nehru University, New Delhi that provides a holistic understanding of the region.

Initially, established as a Centre for Chinese and Japanese Studies, it subsequently grew to include Korean Studies as well. At present there are eight faculty members in the Centre. Several distinguished faculty who have now retired include the late Prof. Gargi Dutt, Prof. P.A.N. Murthy, Prof. G.P. Deshpande, Dr. Nranarayan Das, Prof. R.R. Krishnan and Prof. K.V. Kesavan. Besides, Dr. Madhu Bhalla served at the Centre in Chinese Studies Programme during 1994-2006. In addition, Ms. Kamlesh Jain and Dr. M. M. Kunju served the Centre as the Documentation Officers in Chinese and Japanese Studies respectively.

The academic curriculum covers both modern and contemporary facets of East Asia as each scholar specializes in an area of his/her interest in the region. The integrated course involves two semesters of classes at the M. Phil programme and a dissertation for the M. Phil and a thesis for Ph. D programme respectively. The central objective is to impart an interdisciplinary knowledge and understanding of history, foreign policy, government and politics, society and culture and political economy of the respective areas. Students can explore new and emerging themes such as East Asian regionalism, the evolving East Asian Community, the rise of China, resurgence of Japan and the prospects for reunification of the Korean peninsula. Additionally, the Centre lays great emphasis on the building of language skills. The background of scholars includes mostly from the social science disciplines; History, Political Science, Economics, Sociology, International Relations and language.

Several students of the centre have been recipients of prestigious research fellowships awarded by Japan Foundation, Mombusho (Ministry of Education, Government of Japan), Saburo Okita Memorial Fellowship, Nippon Foundation, Korea Foundation, Nehru Memorial Fellowship, and Fellowship from the Chinese and Taiwanese Governments. Besides, students from Japan receive fellowship from the Indian Council of Cultural Relations.