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The Contributions of R. Parthasarathy

This quiz is designed to assess your knowledge about the contributions of R. Parthasarathy, a renowned Indian mathematician known for his work in probability theory, stochastic processes, and statistical mechanics.

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Questions

Question 1 Multiple Choice (Single Answer)

What is the name of the theorem that R. Parthasarathy proved in 1967, which provides a characterization of Gaussian measures on a Hilbert space?

  1. Parthasarathy's Theorem
  2. Wiener's Theorem
  3. Cameron-Martin Theorem
  4. Lévy's Theorem
Question 2 Multiple Choice (Single Answer)

In which year did R. Parthasarathy publish his seminal work, (K)-adic numbers and (p)-adic analysis?

  1. 1967
  2. 1972
  3. 1985
  4. 1990
Question 3 Multiple Choice (Single Answer)

What is the name of the stochastic integral introduced by R. Parthasarathy in 1967, which is used to study stochastic processes?

  1. Parthasarathy Integral
  2. Itô Integral
  3. Stratonovich Integral
  4. Wiener Integral
Question 4 Multiple Choice (Single Answer)

In which year did R. Parthasarathy receive the Shanti Swarup Bhatnagar Prize for Science and Technology?

  1. 1975
  2. 1980
  3. 1985
  4. 1990
Question 5 Multiple Choice (Single Answer)

What is the name of the book that R. Parthasarathy co-authored with K.R. Parthasarathy in 1992, which provides an introduction to probability theory?

  1. Probability Theory: An Introduction
  2. Stochastic Processes: An Introduction
  3. Statistical Mechanics: An Introduction
  4. Quantum Mechanics: An Introduction
Question 6 Multiple Choice (Single Answer)

In which year did R. Parthasarathy become a Fellow of the Indian National Science Academy?

  1. 1978
  2. 1983
  3. 1988
  4. 1993
Question 7 Multiple Choice (Single Answer)

What is the name of the theorem that R. Parthasarathy proved in 1981, which provides a characterization of Markov processes on a compact metric space?

  1. Parthasarathy's Theorem
  2. Feller's Theorem
  3. Dynkin's Theorem
  4. Itô's Theorem
Question 8 Multiple Choice (Single Answer)

In which year did R. Parthasarathy receive the Padma Shri award from the Government of India?

  1. 1984
  2. 1989
  3. 1994
  4. 1999
Question 9 Multiple Choice (Single Answer)

What is the name of the book that R. Parthasarathy co-authored with S.R. Srinivas in 1997, which provides an introduction to stochastic differential equations?

  1. Stochastic Differential Equations: An Introduction
  2. Probability Theory: An Introduction
  3. Statistical Mechanics: An Introduction
  4. Quantum Mechanics: An Introduction
Question 10 Multiple Choice (Single Answer)

In which year did R. Parthasarathy become a member of the International Statistical Institute?

  1. 1986
  2. 1991
  3. 1996
  4. 2001
Question 11 Multiple Choice (Single Answer)

What is the name of the theorem that R. Parthasarathy proved in 1990, which provides a characterization of Gibbs measures on a lattice?

  1. Parthasarathy's Theorem
  2. Dobrushin's Theorem
  3. Ruelle's Theorem
  4. Glimm-Jaffe Theorem
Question 12 Multiple Choice (Single Answer)

In which year did R. Parthasarathy receive the C.V. Raman Award from the Indian National Science Academy?

  1. 1992
  2. 1997
  3. 2002
  4. 2007
Question 13 Multiple Choice (Single Answer)

What is the name of the book that R. Parthasarathy co-authored with K.R. Parthasarathy in 2005, which provides an introduction to quantum probability?

  1. Quantum Probability: An Introduction
  2. Probability Theory: An Introduction
  3. Statistical Mechanics: An Introduction
  4. Quantum Mechanics: An Introduction
Question 14 Multiple Choice (Single Answer)

In which year did R. Parthasarathy become a Fellow of the American Mathematical Society?

  1. 1995
  2. 2000
  3. 2005
  4. 2010
Question 15 Multiple Choice (Single Answer)

What is the name of the theorem that R. Parthasarathy proved in 2000, which provides a characterization of Lévy processes on a locally compact Abelian group?

  1. Parthasarathy's Theorem
  2. Lévy's Theorem
  3. Itô's Theorem
  4. Wiener's Theorem
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