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Wednesday, 03 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) Preparatory Lectures - Random Walks

TBA

11:30 to 13:00 Sanjib Sabhapandit (RRI, Bengaluru, India) Stochastic processes

TBA

14:30 to 16:00 Sanjib Sabhapandit (RRI, Bengaluru, India) Stochastic processes

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Thursday, 04 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) Preparatory Lectures - Hydrodynamics

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11:30 to 13:00 Sanjib Sabhapandit (RRI, Bengaluru, India) Stochastic processes

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14:30 to 16:00 Sanjib Sabhapandit (RRI, Bengaluru, India) Stochastic processes

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Friday, 05 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) Preparatory Lectures - Hydrodynamics

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11:30 to 13:00 Sanjib Sabhapandit (RRI, Bengaluru, India) Stochastic processes

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14:30 to 16:00 Sanjib Sabhapandit (RRI, Bengaluru, India) Stochastic processes

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Monday, 08 September 2025
Time Speaker Title Resources
09:30 to 11:00 Akshit Goyal (ICTS-TIFR, Bengaluru, India) Statistical Physics of Ecosystems

TBA

11:30 to 13:00 Samriddhi Sankar Ray (ICTS-TIFR, Bengaluru, India) Introduction to fluid dynamics and turbulence

TBA

14:30 to 16:00 Jaikumar Radhakrishnan (ICTS-TIFR, Bengaluru, India) Information Theory and its applications in Combinatorics and Computation

Shannon entropy 

We will review the problem of information compression and show the role that entropy of a probability distribution plays in it. We will analyse compression in the one-shot and the iid settings, leading up to Shannon’s source-coding theorem.

Key concepts: Prefix-free encoding, typical sequences, rate of a code.

Tuesday, 09 September 2025
Time Speaker Title Resources
09:30 to 11:00 Akshit Goyal (ICTS-TIFR, Bengaluru, India) Statistical Physics of Ecosystems

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11:30 to 13:00 Samriddhi Sankar Ray (ICTS-TIFR, Bengaluru, India) Introduction to fluid dynamics and turbulence

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14:30 to 16:00 Jaikumar Radhakrishnan (ICTS-TIFR, Bengaluru, India) Information Theory and its applications in Combinatorics and Computation

Conditional entropy and mutual information

We will consider the problem of transmitting information over a noisy channel, and arrive at Shannon’s channel-coding theorem, in which the notion of mutual information of random variables plays a central role.

Key concepts: Conditional entropy, chain rule for mutual information, capacity of a channel.

Wednesday, 10 September 2025
Time Speaker Title Resources
09:30 to 11:00 Akshit Goyal (ICTS-TIFR, Bengaluru, India) Statistical Physics of Ecosystems

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11:30 to 13:00 Samriddhi Sankar Ray (ICTS-TIFR, Bengaluru, India) Introduction to fluid dynamics and turbulence

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14:30 to 16:00 Jaikumar Radhakrishnan (ICTS-TIFR, Bengaluru, India) Information Theory and its applications in Combinatorics and Computation

Entropy and its applications in combinatorics

We will see how standard inequalities about information lead to intuitive proofs of several combinatorial inequalities.

Key concepts: Loomis-Whitney inequality, Bregman’s theorem, Moore bound

Thursday, 11 September 2025
Time Speaker Title Resources
09:30 to 11:00 Akshit Goyal (ICTS-TIFR, Bengaluru, India) Statistical Physics of Ecosystems

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11:30 to 13:00 Samriddhi Sankar Ray (ICTS-TIFR, Bengaluru, India) Introduction to fluid dynamics and turbulence

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14:30 to 16:00 Jaikumar Radhakrishnan (ICTS-TIFR, Bengaluru, India) Information Theory and its applications in Combinatorics and Computation

Relative entropy in statistics

We will more carefully examine relative entropy and its properties, and understand its connections to other distance measures between distributions and its role in statistics.

Key concepts: Stein’s lemma, Sanov’s theorem, Pinsker’s inequality, Fidelity.

Friday, 12 September 2025
Time Speaker Title Resources
09:30 to 11:00 Akshit Goyal (ICTS-TIFR, Bengaluru, India) Statistical Physics of Ecosystems

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11:30 to 13:00 Samriddhi Sankar Ray (ICTS-TIFR, Bengaluru, India) Introduction to fluid dynamics and turbulence

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14:30 to 16:00 Jaikumar Radhakrishnan (ICTS-TIFR, Bengaluru, India) Information Theory and its applications in Combinatorics and Computation

Communication complexity of functions

We will introduce the area of communication complexity and present some applications of information theory to this area.

Key concepts: Transcript, the communication matrix.

Monday, 15 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) First passage problems: classical and quantum

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11:30 to 13:00 Alberto Rosso (Laboratoire de Physique Theorique et Modeles Statistique, Orsay, France) Disordered Systems: Statics and Dynamics.

TBA

14:30 to 16:00 Benjamin Doyon (King's College London, UK) Introduction to Generalized Hydrodynamics (Online)

TBA

Tuesday, 16 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) First passage problems: classical and quantum

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11:30 to 13:00 Alberto Rosso (Laboratoire de Physique Theorique et Modeles Statistique, Orsay, France) Disordered Systems: Statics and Dynamics.

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14:30 to 16:00 Benjamin Doyon (King's College London, UK) Introduction to Generalized Hydrodynamics (Online)

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Wednesday, 17 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) First passage problems: classical and quantum

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11:30 to 13:00 Alberto Rosso (Laboratoire de Physique Theorique et Modeles Statistique, Orsay, France) Disordered Systems: Statics and Dynamics.

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14:30 to 16:00 Benjamin Doyon (King's College London, UK) Introduction to Generalized Hydrodynamics (Online)

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Thursday, 18 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) First passage problems: classical and quantum

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11:30 to 13:00 Alberto Rosso (Laboratoire de Physique Theorique et Modeles Statistique, Orsay, France) Disordered Systems: Statics and Dynamics.

-

14:30 to 16:00 Benjamin Doyon (King's College London, UK) Introduction to Generalized Hydrodynamics (Online)

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Friday, 19 September 2025
Time Speaker Title Resources
09:30 to 11:00 Abhishek Dhar (ICTS-TIFR, Bengaluru, India) First passage problems: classical and quantum

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11:30 to 13:00 Alberto Rosso (Laboratoire de Physique Theorique et Modeles Statistique, Orsay, France) Disordered Systems: Statics and Dynamics.

-

14:30 to 16:00 Benjamin Doyon (King's College London, UK) Introduction to Generalized Hydrodynamics (Online)

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