Short Notes
Preprints
Covid19 Related work
Books
Book in Preparation:
with Deepayan Sarkar, and Steve Tanner.
Measure and Probability
Publications
 COVID19: Optimal Design of Serosurveys for Disease Burden Estimation
Joint work with Giridhara R. Babu, Aniruddha Iyer, Mohammed Minhaas B.S., Nihesh Rathod, Sharad Shriram, Rajesh Sundaresan, Nidhin Koshy Vaidhiyan, Sarath Yasodharan
Slides,
Survey Design Calculator
Appeared in Sankhya B, The Indian Journal of Statistics. (August 24, 2021)
 Second round statewide survey for estimation of the burden of active infection and antiSARSCoV2 IgG antibodies in the general population of Karnataka, India
Joint work with Giridhara R. Babu,Rajesh Sundaresan et. al
Appeared in IJID Regions. (October 30, 2021)
 [medrxiv] Effective Reproduction Number and Dispersion under Contact Tracing and Lockdown on COVID19 in Karnataka
Joint work with Nitya Gadhiwala and Abhiti Mishra
Appeared in Journal of the Indian Society for Probability and Statistics (2021),
Slides
 The burden of active infection and antiSARSCoV2 IgG antibodies in the general population: Results from a statewide survey in Karnataka, India
Joint work with Giridhara R Babu, Rajesh Sundaresan et. al
Slides, Medrxiv Article,Supplementary Material, Appeared in International Journal of Infectious Diseases Vol. 108 p2736 Published online: May 21, 2021
 Small ball probabilities and a support theorem for the stochastic heat equation
Joint work with Mathew Joseph and Carl Mueller
Appeared in Ann. Probab. 49(5): 25482572 (September 2021). DOI: 10.1214/21AOP1515
 Graphonvalued stochastic processes from population genetics
Joint work with Frank den Hollander, Adrian Röllin
Appeared in Ann. Appl. Probab. 31(4): 17241745 (August 2021). DOI: 10.1214/20AAP1631
 Strong existence and uniqueness for stable stochastic differential equations with distributional drift
Joint work with Oleg Butkovsky and Leonid Mytnik
Appeared in Ann. Probab. 48 (2020), no. 1, 178210.

Random Walk Among Mobile/Immobile Traps: A Short Review.
Joint work with Alexander Drewitz, and Rongfeng Sun.
Appeared in Sojourns in Probability Theory and Statistical Physics  III: Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman, 122. Springer Proceedings in Mathematics & Statistics, 300, 2019.
 Simultaneous Small Noise Limit for Singularly Perturbed SlowFast Coupled Diffusions
Joint work with Vivek S. Borkar, K. Suresh Kumar, Rajesh Sundaresan
Appeared in Applied Mathematics & Optimization (2019): 148.
 [ Arxiv]Respondentdriven sampling and sparse graph convergence
Joint work with Adrian Röllin.
Appeared in Electron. Commun. Probab.
Volume 23 (2018), paper no. 3, 12 pp
 [ Arxiv] Harnack inequality for nonlocal Schrodinger operators
Joint work with Koushik Ramachandran.
Appeared in Potential Analysis May 2018, Volume 48, Issue 4, pp 515â551
 Invariance principle for variable speed random walks on trees
Joint work with Wolfgang Löhr, Anita Winter.
Appeared Ann. Probab. Volume 45, Number 2 (2017), 625667.
 [ Arxiv] Subdiffusivity of a random walk among a Poisson system of moving traps on $\mathbb Z$
Joint work with Alexander Drewitz and Rongfeng Sun.
Appeared in Mathematical Physics, Analysis and Geometry 20, Article 1, 2017.
 [ Arxiv ] The gap between Gromovvague and GromovHausdorffvague topology
Joint work with Wolfgang Löhr, Anita Winter.
Appeared in Stochastic Processes and their Applications 126 (2016) 25272553
 [ Arxiv] Dense graph limits under respondentdriven sampling
Joint work with Adrian Röllin.
Appeared in Annals of Applied Probability 2016, Vol 26, No. 4, 21932210.

Random Walks in I.I.D. Random Environment on NonAbelian Free Groups
Joint work with Antar Bandhyopadyay and Amites Dasgupta.
Appeared in Statist. Probab. Lett., 92: 39  44, 2014
 Brownian motion on
${\mathbb R}$ trees
Joint work with Michael Eckhoff and Anita Winter
Appeared in Transaction American Mathematics Society Vol 365, 2013, 31153150.
 Systems of branching, annihilating, and coalescing particles
Joint work with Jan Swart
Appeared in Electron. J. Probab. Volume 17 (2012), paper no. 80, 32 pp.
 One dimensional voter model interface revisited
Joint work with Rongfeng Sun
Appeared in Electronic Communications in Probability, Vol. 16(2011), Paper 70
 On the Range, local times and periodicity of random walk on an interval
Joint work with Sunder Sethuraman and Balint Toth
Appeared in ALEA, Latin American Journal of Probability and Mathematical Statistics, Volume VIII, 2011, Pages, 269284.
 Supercritical Age Dependent Branching Markov Processes and Their Scaling Limits
Joint work with Krishna Athreya and Srikanth Iyer.
Appeared in Bernoulli Volume 17, Number 1 (2011), 138154.
 Critical Age Dependent Branching Markov Processes and Their Scaling Limits
Joint work with Krishna Athreya and Srikanth Iyer.
Appeared in the Proceedings of the Indian Academy of Sciences, Volume 120, Number 3, June 2010 , pp. 363385(23).
 Survival of Contact Processes on the Hierarchical Group
Joint work with Jan Swart
Appeared in Probability Theory and Related Fields (online first)
 Exit time, Green Function and Semilinear Elliptic Equations.
Joint work with Rami Atar and ZhenQing Chen
Appeared in Electronic Journal in Probability, Vol 14, p 5170, Jan 2009
 Random Directed Trees and Forest
Joint work with Rahul Roy and Anish Sarkar
Appeared in Electronic Journal in Probability, Vol 13, p 21602189, Dec 2008
 Quantifying spatial misallocation in centrally provided public
goods
Joint work with Rohini Somanathan.
Appeared in Economic Letters 98 (2), p.201206, Feb 2008.
 Erratum: "Infinite volume limit for the stationary distribution of abelian sandpile models"
Joint work with Antal Jarai Appeared in Comm. Math. Phys. 264 (2006), no. 3, 843.
 Infinite dimensional stochastic differential equations of the OrnsteinUhlenbeck type.
Joint work with Richard Bass, Masha Gordina and Edwin Perkins
Appeared in Stochastic Process. Appl. 116 (2006), no. 3, 381406.
 Spatial Coupling of Measure valued neutral models
Joint work with Anita Winter.
Appeared in Stochastic Process. Appl. 115 (2005), no. 6, 891906
 Branchingcoalescing Particle Systems
Joint work with Jan Swart. Appeared in Probab. Theory Related Fields 131 (2005), no. 3, 376414.
Correction :There is an error in the above paper in Theorem 7. A correct version of Theorem 7 has been put on the ArXiv
 Hölder norm estimates for elliptic operators
on finite and infinite dimensional spaces
Joint work with Richard Bass and Edwin Perkins Appeared in Trans. Amer. Math. Soc. 357 (2005), no. 12, 50015029.
 Infinite
volume limit for the stationary distribution of Abelian sandpile
models
Joint work with Antal Jarai.
Appeared in Communications in Mathematical Physics
 On
the coverage of space by random sets.
Joint work with
Rahul Roy and Anish Sarkar. Appeared in Advances in Applied
Probability (36),1, 2004.
 Degenerate
Stochastic differential equations and superMarkov chains
Joint work with Martin Barlow, Richard Bass, and Edwin
Perkins. Appeared in Probability Theory and Related
Fields, (123), 484520, 2002.  On a
Singular Semilinear Elliptic Boundary Value Problem and the Boundary
Harnack Principle
Appeared in Potential Analysis (17),
293301, 2002 [This paper was part of my thesis work under Chris Burdzy.]
 Uniqueness
for a class of onedimensional Stochastic PDEs using Moment Duality
Joint work with Roger Tribe Appeared in
Annals of Probability,(28),4,17111734, 2002
 Ballistic
Deposition in a planar strip
Joint work with Rami Atar
and Min Kang. Appeared in Electronic
communications of Probability , Vol. 6, Paper no. 3, pages 3138,
2001.  Monotonicity Property
for a Class of Semilinear Partial Differential Equations.
Appeared in Seminar de's probabilite's XXXIV (june 2000) [ This paper was part of my thesis work under Chris Burdzy.]
