|
INDIAN STATISTICAL INSTITUTE
(Delhi Centre)
7 S. J. S. Sansanwal Marg, New Delhi 110016
|
|
Antar Bandyopadhyay
Head, Delhi Centre: May 01, 2023 - present
Professor
Theoretical Statistics and Mathematics Unit
(Professor-in-Charge, Theoretical Statistics and Mathematics Division: September 18, 2020 - September 17, 2022)
I am currently working as a Professor at the
Theoretical Statistics and Mathematics Division
of the
Indian Statistical Institute (ISI).
I primarily stay in the Theoretical Statistics and Mathematics Unit
at the New Delhi Centre of the institute, but I also spent some times at the
Theoretical Statistics and Mathematics Unit at the
Headquarters of ISI in Kolkata. I have been in Kolkata several times in past:
Fall 2019 (November 01 - 30, 2020),
Fall 2018 (July 01 - December 23, 2018),
Fall 2014 (June 09 - December 20, 2014),
Summer 2011 (May 01 - July 30, 2011), and in
Fall 2008 (August 01 - December 04, 2008).
Majority of the times, my office in ISI, Kolkata is at Room Number 3.4 on
the 3rd floor of the A. N. Kolmogorov Bhavan.
Currently, I am the Head of the Delhi Centre of ISI
(Head, DC)
for a four years term (May 01, 2023 - April 30, 2027). Head, DC is an ex-officio member of the
Council
of the Institute.
I was the Professor-in-Charge of the
Theoretical Statistics and Mathematics Division
of the Institute for a two years term during September 18, 2020 - September 17, 2022.
I was also then an ex-officio elected member of the
Council
of the Institute.
In the academic year 2013 - 2014 (September 2013 - May 2014) I visited the
Department of Statistics of the
University of California, Berkeley as a visiting Associate Professor.
In UC, Berkeley my office was at
Room # 387 on the 3rd floor of the Evans Hall.
I graduated from University of
California, Berkeley with Ph.D. in Statistics in May 2003. My
dissertation was on
Max-type Recursive Distributional Equations and I worked under the guidance of
Professor David J. Aldous. To see a summary of my dissertation
click here.
Before joining ISI, I did a two years postdoctoral study
(September 2004 - August 2006)
at the
Chalmers University of Technology, Gothenburg, Sweden, in the
Department of Mathematics and
Mathematical Statistics, where I worked under Professors
Jeffrey Steif,
Olle Häaggströom and
Johan Jonasson.
Earlier (September 2003 - August 2004), I was
at the Institute for
Mathematics and Its Applications,
University of Minnesota, Minneapolis, as
a postdoctoral member, and worked with
Professor Ofer Zeitouni.
Research:
Summary of Research Interest:
My main research interest is in theoretical and applied probability mainly focusing on
discrete problems arising out of combinatorics, statistical physics and computer science.
In particular I am interested in random graphs, probability on tress,
combinatorial optimization and statistical physics
problems, recursive distributional equations, branching random walks, percolation theory, interacting particle systems,
Markov chains and their mixing behavior, random walks in random
environment and urn models. I also keep strong interest in theoretical statistics and probability questions
arising out of it.
Work in Progress:
- (with Deborshi Das)
Interacting Urn Schemes on Directed Acyclic Graphs.
(in preparation).
- (with Gursharn Kaur) A Two Choice Algorithm for De-Preferential
Pólya Urn Scheme.
(in preparation).
- (with Subhabrata Sen) De-Preferential Attachment Random Graphs.
(in preparation).
- Hard-Core Model on Random Graphs. (in preparation).
Preprints/Submitted:
- (with Partha Pratim Ghosh)
Right-Most Position of a Last Progeny Modified Branching Random Walk.
(preprint)
(arXiv link), 2021
(major Revision in 2023 with above the boundary case worked out).
Publications:
- (with Partha Pratim Ghosh)
Right-Most Position of a Last Progeny Modified Time Inhomogeneous
Branching Random Walk. Statist. Probab. Lett., 193: 109697, 2023.
- (with Siva Athreya, Amites Dasgupta and Neeraja Sahasrabudhe)
S.L.L.N. and C.L.T. for Random Walks in I.I.D. Random Environment
on Cayley Tree. Stochastic Processes and Applications,
146: 80 - 97, 2022.
- (with Debleena Thacker) A New Approach to Pólya Urn Schemes and Its Infinite Color Generalizations. Annals of Applied Probability, 32(1): 46 - 79, 2022.
- (with Svante Janson and Debleena Thacker) Strong convergence of infinite color balanced urns under uniform ergodicity.
Journal of Applied Probability, 57(3): 853 - 865, 2020.
- (with Gursharn Kaur) Linear de-preferential urn models.
Advances in Applied Probability, 50(4): 1176 - 1192, 2018.
- (with Debleena Thacker) On Pólya Urn Schemes with Infinitely Many Colors.
Bernoulli, 23(4B): 3243 - 3267, 2017.
- (with Farkhondeh Sajadi) On the Expected Total Number of Infections for Virus Spread on a Finite Network.
Annals of Applied Probability, 25(2): 663 - 674, 2015.
- (with Sanjay Chaudhuri) On Standared Deviation Estimates for Tree Order Restricted Models.
Statistics, 48(5): 1122 - 1137, 2014.
- (with Debleena Thacker) Rate of Convergence and Large Deviation for the Infinite Color Pólya
Urn Schemes. Statist. Probab. Lett., 92: 232 - 240, 2014.
- (with Siva Athreya and Amites Dasgupta) Random Walks in I.I.D. Random Environment on Cayley Trees.
Statist. Probab. Lett., 92: 39 - 44, 2014.
- (with Farkhondeh Sajadi) On the Nearest-Neighbor Algorithm for the Mean-Field Traveling Salesman Problem.
J. Appl. Prob., 51(1): 106 - 117, 2014.
- (with Farkhondeh Sajadi) Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices.
Statist. Probab. Lett., 82: 2103 - 2107, 2012.
- Endogeny for the Logistic Recursive Distributional Equation. Journal for Analysis and its Applications
(ZAA), 30(2): 237 - 251, 2011.
- (with Rahul Roy and Anish Sarkar) On the One Dimensional "Learning from Neighbours" Model.
Electronic J. Probab., 15: 1574 - 1593 2010.
- (with Jeffrey Steif and Ádám Timár)
On the Cluster Size Distribution for Percolation on Some General Graphs.
Revista Mathemática Iberoamericana, 26(2): 529 - 550, 2010.
- (with David Gamarnik) Counting Without Sampling: Asymptotics of the
Log-Partition Function for Certain Statistical Physics Models.
Random Structures and Algorithms, 33(4): 452 - 479, 2008.
- (with David Gamarnik) Counting without sampling. New algorithms for
enumeration problems using statistical physics. Proceedings of the
Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms, 17: 890 - 899,
2006.
- A Necessary and Sufficient Condition for the Tail-Triviality of a
Recursive Tree Process. Sankhya, 68(1): 1 - 23, 2006.
- (with Ofer Zeitouni) Random Walk in Dynamic Markovian Random Environment.
ALEA : Latin American Journal of Probability and Mathematical
Statistics, 1: 205 - 224, 2006.
-
(with David J. Aldous) A Survey of Max-Type Recursive Distributional
Equations. Annals of Applied Probability, 15(2): 1047 - 1110, 2005.
-
(with David J. Aldous) How to Combine Fast Heuristic Markov Chain
Monte Carlo with Slow Exact Sampling. Electronic Commun. Probab.,
6: 79 - 89, 2001.
Dissertation Research:
- Max-type Recursive Distributional Equations.
PhD dissertation, Department of Statistics, UC, Berkeley, 2003 (May).
Coauthors (in alphabetical order of last names):
- David J. Aldous,
- Siva Athreya,
- Sanjay Chaudhuri,
- Amites Dasgupta,
- David Gamarnik,
- Partha Pratim Ghosh,
- Svante Janson,
- Gursharn Kaur,
- Rahul Roy,
- Neeraja Sahasrabudhe,
- Farkhondeh Sajadi,
- Anish Sarkar,
- Jeffrey Steif,
- Debleena Thacker,
- Ádám Timár,
- Ofer Zeitouni.
Erdős Number:
Mathematics Genealogy:
Ph.D. Students (in reverse chronological order):
-
Deborshi Das
- Thesis Title: Interacting Urn Schemes on Directed Graphs.
- Date of Graduation: 2026 (expected year of graduation).
- Field: Statistics (Probability Theory).
-
Partha Pratim Ghosh
-
Gursharn Kaur
-
Debleena Thacker
-
Farkhondeh Sajadi
M.Stat. (Dissertation) Student:
-
Somak Laha
- Dissertation Title: De-preferential attachment model through
preferential attachment.
- Year of Dissertation: 2021 - 2022.
- Specialization: Applied Statistics: Computational Statistics Track.
- Affiliation: Indian Statistical Institute, Kolkata.
-
Subhabrata Sen
- Dissertation Title: De-preferential Attachment Random Graph Models.
- Year of Dissertation: 2012 - 2013.
- Specialization: Mathematical Statistics and Probability.
- Affiliation: Indian Statistical Institute, Kolkata.
Teaching:
Current Assignment:
Experiences:
- Spring 2024: Measure Theoretic Probability
for the M.Stat. (NB-Stream) Ist Year at
Indian Statistical Institute, Delhi.
- Fall 2023: I did not teach in this semester.
- Spring 2023: I did not teach in this semester.
- Fall 2022:
Probability Theory
for the M.Stat. (NB-Stream) Ist Year at
Indian Statistical Institute, Delhi.
- Spring 2022 (Online): Measure Theoretic Probability
for the M.Stat. (B-Stream) Ist Year at
Indian Statistical Institute, Kolkata
and
M.Stat. (NB-Stream) Ist Year at
Indian Statistical Institute, Delhi.
- Fall 2021 (Online): Martingale Theory
for the M.Stat. IInd Year and M.Math. IInd Year at
Indian Statistical Institute, Kolkata.
- Spring 2021 (Online):
- Fall 2020 (Online): Probability Theory III
for the B.Stat. IInd Year at
Indian Statistical Institute, Kolkata.
- Spring 2020 (Online): Random Graphs
for the B.Stat. IIIrd Year at
Indian Statistical Institute, Kolkata.
- Fall 2019: I did not teach in this semester.
- Spring 2019: Measure Theoretic Probability
for the M.Stat. (NB-Stream) Ist Year and MS(QE) Ist & IInd Years at
Indian Statistical Institute, Delhi.
- Fall 2018: Martingale Theory
for the M.Stat. IInd year Theoretical Statistics Specialization and
Probability Specialization at Indian Statistical Institute, Kolkata.
- Spring 2018: Measure Theoretic Probability
for the M.Stat. (NB-Stream) Ist Year and MS(QE) IInd Year at Indian Statistical Institute, Delhi.
- Fall 2017: I did not teach in this semester.
- Spring 2017: Measure Theoretic Probability
for the M.Stat. (NB-Stream) Ist Year and MS(QE) IInd Year at Indian Statistical Institute, Delhi.
- Fall 2016: Probability Theory
for the M.Stat. Ist Year (NB-Stream) at Indian Statistical Institute, Delhi.
- Spring 2016: I did not teach in this semester.
- Fall 2015:
Linear Algebra and Linear Models for the M.Stat. Ist Year (NB-Stream)
at Indian Statistical Institute, Delhi.
- Spring 2015: I did not teach in this semester.
- Fall 2014: Advanced Probability
for the M.Stat. IInd year Mathematical Statistics and
Probability specialization at Indian Statistical Institute, Kolkata.
- Spring 2014:
STAT-134: Concepts of Probability at the
Department of Statistics
UC, Berkeley.
- Fall 2013:
STAT-155: Game Theory at the Department of Statistics
UC, Berkeley.
- Summer 2013:
Random Graphs (as summer projects by students of M.Stat. Ist and IInd years)
at Indian Statistical Institute, Delhi.
- Spring 2013:
Measure Theoretic Probability for the M.Stat. Ist year (NB-Stream) and Ist year Junior Research Fellows
at Indian Statistical Institute, Delhi.
- Fall 2012:
- Spring 2012: I did not teach in this semester.
- Fall 2011:
- Spring 2011:
Advanced Analysis for the M.Stat.(Application) IInd year (optional) and Ist year
junior research fellows
at Indian Statistical Institute, Delhi.
- Fall 2010:
Measure Theoretic Probability for the M.Stat.(Application) IInd year (optional) and Ist year
junior research fellows
at Indian Statistical Institute, Delhi.
- Spring 2010: Advanced Probability
for the Ist year junior research fellows at
Indian Statistical Institute, Delhi.
- Fall 2009:
Branching Processes for the IInd year junior research fellows
at Indian Statistical Institute, Delhi.
- Spring 2009:
Measure Theoretic Probability for the I,sup>st year junior research fellows
at Indian Statistical Institute, Delhi.
- Fall 2008:
- Spring 2008:
Linear Models and GLM for the M.Stat. (Applications)
Ist year
at Indian Statistical Institute, Delhi.
- Fall 2007:
Measure Theoretic Probability for the Ist year junior research fellows
at Indian Statistical Institute, Delhi.
- Spring 2007:
Measure Theoretic Probability for the M.Stat. Ist year
at Indian Statistical Institute, Delhi.
- Fall 2002:
STAT-134, Section 2 : Concepts of Probability
at UC, Berkeley.
Teaching Awards:
Teaching Record: (not updated!)
Seminars:
I organized the
weekly seminar series of the
Theoretical Statistics and Mathematics Unit, ISI, New Delhi for four years,
from Fall 2006 till Fall 2010 (except in the Fall 2008 when I was not in Delhi
it was organized by
Maneesh Thakur).
From Spring Semester 2010 till Fall 2010 my co-organizer was
Deepayan Sarkar.
Conferences:
Curriculum Vitae:
Personal Stuff:
DISCLAIMER:
This is a personal home page. Opinions expressed here do not represent
the official views of the Indian Statistical Institute.
Last modified August 14, 2024.