Srinivasa Varadhan - The Abel Prize interview 2007

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  • Опубликовано: 21 ноя 2024

Комментарии • 5

  • @rajeshrs1496
    @rajeshrs1496 4 года назад +11

    Thank you for this interview, SRS Varadhan is a great statistician of our times!

  • @BlueSoulTiger
    @BlueSoulTiger 4 года назад +18

    00:00:00 Abel Prize ceremonies (Norwegian)
    00:01:00 Interview with Skau and Raussen starts
    00:02:30 wby so long for probability or statistics to be recognised?
    00:04:35 born and raised on Chennai, studied at Madras; mathematical influences
    00:05:52 excellent math. teacher, math. for enjoyment
    00:07:30 why graduate in Statistics?
    00:08:45 in Kolkata at the ISI, limit theorems in higher-dimensional spaces, collaborators
    00:10:05 no formal guidance, just research and advice, no courses; Rao, Parthasarathy
    00:11:32 we learnt whatever tooks we needed to solve the problem at hand, lot of fun, 7am-9pm working hours
    00:12:22 pure vs. applied math distinction not really there
    00:13:45 how to translate your intuition into rigorous math
    00:14:05 move from India to the Courant Institute, but still Indian?
    00:15:25 practising Hindu
    00:15:55 classical Indian training in analysis helpful
    00:16:45 Ramanjuan, how his mind work remains opaque
    00:18:35 Tata Institute vs. ISI
    00:21:00 Third World Academy of Sciences, Chennai
    00:22:35 what attracted you to Probability Theory, had some intuition for it
    00:23:50 [question missing] visit of Kolmogorov to India in 1962
    00:26:02 "when Kolmogorov gets up to speak they should wait and listen!"
    00:26:10 Large deviations, Esscher tilt (en.wikipedia.org/wiki/Esscher_transform)
    00:29:22 what was a tail event becomes a central event, asymptotics of tail probabilities
    00:30:36 applications in finance?
    00:30:50 not just what the (small) probability of a tail event is, but also how did it occur, Esscher tilt
    00:32:15 Large Deviation Principle (en.wikipedia.org/wiki/Rate_function), Donsker-Varadhan Rate function
    00:34:40 Varadhan integral lemma
    00:37:15 Kac's formula for first eigenvalue of the Schrodinger operator
    00:40:30 hard, sustained problem-solving
    00:42:12 Strook, diffusion processes, SDEs, (Ito, Levy), as martingale problem, Kac, heat equation
    00:49:00 theory of hydrodynamic limits (scaling), view as travelling particle, small system of non-linear PDEs
    00:58:14 thinking style: prefers physical thinking, then analytical
    00:59:15 beauty, aesthetics: mathematically simple explanations of complex behaviour
    01:00:10 Courant Institute, Courant,
    01:02:42 public awareness of math.; how to enhance our image
    01:06:18 other Norwegian prizes surrounding the Abel
    01:07:05 other interests - travel, classical music, theatre, movies, Tamil literature
    01:08:58 conclusion

  • @BlueSoulTiger
    @BlueSoulTiger 4 года назад

    See The Abel Prize: 2003-2007 The First Five Years, edited by Helge Holden, Ragni Piene
    books.google.com/books?id=bzn2RIYwOXUC&lpg=PR5&ots=T52ROzn5nr&dq=skau%20raussen%20abel&pg=PR5#v=onepage&q&f=false
    Interview with Srinivasa Varadhan (Raussen, Skau)
    www.ams.org/notices/200802/tx080200238p.pdf
    00:00 Abel Prize ceremonies (Norwegian)
    01:00 Interview with Skau and Raussen starts
    02:30 wby so long for probability or statistics to be recognised?
    04:35 born and raised on Chennai, studied at Madras; mathematical influences
    05:52 excellent math. teacher, math. for enjoyment
    07:30 why graduate in Statistics?
    08:45 in Kolkata at the ISI, limit theorems in higher-dimensional spaces, collaborators
    10:05 no formal guidance, just research and advice, no courses; Rao, Parthasarathy
    11:32 we learnt whatever tooks we needed to solve the problem at hand, lot of fun, 7am-9pm working hours
    12:22 pure vs. applied math distinction not really there
    13:45 how to translate your intuition into rigorous math
    14:05 move from India to the Courant Institute, but still Indian?
    15:25 practising Hindu
    15:55 classical Indian training in analysis helpful
    16:45 Ramanjuan, how his mind work remains opaque
    18:35 Tata Institute vs. ISI
    21:00 Third World Academy of Sciences, Chennai
    22:35 what attracted you to Probability Theory, had some intuition for it
    23:50 [question missing] visit of Kolmogorov to India in 1962
    26:02 "when Kolmogorov gets up to speak they should wait and listen!"
    26:10 Large deviations, Esscher tilt (en.wikipedia.org/wiki/Esscher_transform)
    29:22 what was a tail event becomes a central event, asymptotics of tail probabilities
    30:36 applications in finance?
    30:50 not just what the (small) probability of a tail event is, but also how did it occur, Esscher tilt
    32:15 Large Deviation Principle (en.wikipedia.org/wiki/Rate_function), Donsker-Varadhan Rate function
    34:40 Varadhan integral lemma
    37:15 Kac's formula for first eigenvalue of the Schrodinger operator
    40:30 hard, sustained problem-solving
    42:12 Strook, diffusion processes, SDEs, (Ito, Levy), as martingale problem, Kac, heat equation
    49:00 theory of hydrodynamic limits (scaling), view as travelling particle, small system of non-linear PDEs
    58:14 thinking style: prefers physical thinking, then analytical
    59:15 beauty, aesthetics: mathematically simple explanations of complex behaviour
    1:00:10 Courant Institute, Courant,
    1:02:42 public awareness of math.; how to enhance our image
    1:06:18 other Norwegian prizes surrounding the Abel
    1:07:05 other interests - travel, classical music, theatre, movies, Tamil literature
    1:08:58 conclusion