Preprints
Brownian motion on
${\mathbb R}$ trees
Joint work with Michael Eckhoff and Anita Winter
To Appear in the Transactions of the American Mathematical Society
Blowup and Conditionings of $\psi$-super Brownian Exit Measures
Joint work with Tom Salisbury
Publications
Book:
Papers:
- 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, 269-284.
- 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. 363-385(23).
- Super-critical 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), 138-154.
- 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 Zhen-Qing Chen
Appeared in Electronic Journal in Probability, Vol 14, p 51-70, Jan 2009
- Random Directed Trees and Forest
Joint work with Rahul Roy and Anish Sarkar
Appeared in Electronic Journal in Probability, Vol 13, p 2160-2189, Dec 2008
- Quantifying spatial misallocation in centrally provided public
goods
Joint work with Rohini Somanathan.
Appeared in Economic Letters 98 (2), p.201-206, 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 Ornstein-Uhlenbeck type.
Joint work with Richard Bass, Masha Gordina and Edwin Perkins
Appeared in Stochastic Process. Appl. 116 (2006), no. 3, 381--406.
- Spatial Coupling of Measure valued neutral models
Joint work with Anita Winter.
Appeared in Stochastic Process. Appl. 115 (2005), no. 6, 891--906
- Branching-coalescing Particle Systems
Joint work with Jan Swart.
Appeared in Probab. Theory Related Fields 131 (2005), no. 3, 376--414.
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, 5001--5029.
- 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 super-Markov chains
Joint work with Martin Barlow, Richard Bass, and Edwin
Perkins.
Appeared in Probability Theory and Related
Fields, (123), 484-520, 2002.
- On a
Singular Semilinear Elliptic Boundary Value Problem and the Boundary
Harnack Principle
Appeared in Potential Analysis (17),
293-301, 2002
[This paper was part of my thesis work under Chris Burdzy.]
- Uniqueness
for a class of one-dimensional Stochastic PDEs using Moment Duality
Joint work with Roger Tribe
Appeared in
Annals of Probability,(28),4,1711-1734, 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 31-38,
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.]
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