Preprints

1. D. Gamarnik and K. Ramanan, "Uniqueness of Gibbs Measures for Continuuous Hardcore Models," Preprint, 2017. (Arxiv)
2. R. Aghajani and K. Ramanan, "Hydrodynamic limits of randomized load balancing networks," Preprint, 2017.(Arxiv)
   
3. D. Lipshutz and K. Ramanan, "Pathwise differentiability of reflected diffusions in convex polyehdral domains," Preprint, 2017. (Arxiv)
4. D. Lacker and K. Ramanan, "Rare Nash equilibria and the price of anarchy in large static games," Preprint, 2017. (Arxiv)
5. R. Aghajani and K. Ramanan, "The limit of stationary distributions of many-server queues in the Halfin-Whitt regime," Preprint, 2016.  (Arxiv)
6. P. Dupuis, K. Ramanan and W. Wu, "Large deviation principle for finite-state mean-field interacting particle systems." Preprint, 2016.  (Arxiv)
7. R. Aghajani and K. Ramanan, "Ergodicity of an SPDE associated with a many-server queue." Preprint, 2015 (Arxiv)
8. P. Dupuis, V. Laschos and K. Ramanan, "Large deviations for empirical measures generated by Gibbs measures with singular energy functionals." Preprint, 2015 (Arxiv)
9. S. S. Kim and K. Ramanan, "A Sanov-type theorem for empirical measures associated with the surface and cone measures on lp spheres," Preprint, 2015 (Arxiv)

Book Chapters

1. N. Gantert, S.S. Kim and K. Ramanan, "Cramer's theorem is atypical," Springer's AWM Series: Advances in the Mathematical Sciences, AWM Research Symposium (2015). (Arxiv)
2. L. Kruk, J. Lehoczky, K. Ramanan and S. Shreve. "Double Skorokhod map and reneging real-time queues," Markov Processes and Related Topics: A Festschrift for Thomas G. Kurtz, IMS Collections, 4 (2008) 169-193. (PDF)

Journal Publications

1. R. Atar, A. Biswas, H. Kaspi, and K. Ramanan, "A Skorokhod map on measure-valued paths and priority queues." (2016) to appear in Annals of Applied Probability. (Arxiv)
2. D. Lipshutz and K. Ramanan, "Directional derivatives of Skorokhod maps on convex polyhedral domains." (2016) to appear in Annals of Applied Probability.(Arxiv)
3. K. Ramanan and M. Shkolnikov, "Intertwinings of beta-Dyson Brownian motions of different dimensions," (2016) to appear in Annales de l'Institut Henri Poincare. (Arxiv)
4. K. Ramanan and A. Smith, "Bounds on Lifting Continuous-State Markov Chains to Speed up Mixing," (2016) to appear in Journal of Theoretical Probability. (Arxiv)
5. N. Gantert, S.S. Kim and K. Ramanan, "Large deviations for random projections of lp balls," 2015, to appear in Annals of Probability (Arxiv)
6. K. Burdzy, Z.-Q. Chen, D. Marshall, and K. Ramanan, "Obliquely reflected Brownian motion in non-smooth planar domains", 2015, to appear in Annals of Probability. (Arxiv)
7. W. Kang and K. Ramanan, "On the submartingale problem for reflected diffusions in piecewise smooth domains," Annals of Probability, Vol. 45 (2017) No. 1, 404-468. (Arxiv)
8. A.Budhiraja, P. Dupuis, M. Fischer, and K. Ramanan, "Local stability of Kolmogorov forward equations for finite state nonlinear Markov processes," Electronic Journal of Probability, 20, Article 81, (2015), 1 - 30. (PDF)
9. A.Budhiraja, P. Dupuis, M. Fischer, and K. Ramanan. "Limits of relative entropies associated with weakly interacting particle systems," Electronic Journal of Probability, 20 Article 80, (2015), 1- 22. (PDF)
   
10. F. Rembart, N. Gantert and K. Ramanan,  "Large deviations for weighted sums of stretched exponential random variables," 19, Electronic Communications in Probability, 19, No 41 (2014), 1-14. (PDF)
11. W. Kang and K. Ramanan, "Characterizations of stationary distributions of reflected diffusions,"  Ann. Appl. Probab., 24, No 4 (2014), 1329-1374. (PDF)
12. H. Kaspi and K. Ramanan, "SPDE limits for many-server queues," Ann. Appl. Probab., 23, No.1 (2013), 145-229. (Arxiv)
13. S. Kar, J. Moura and K. Ramanan, "Distributed parameter estimation in sensor networks: nonlinear observation models and imperfect communication," IEEE Trans. Signal Processing, vol. 58, no. 6, (2012), 3575-3605. (Arxiv)
14. W. Kang and K. Ramanan, "Asymptotic approximations for the stationary distributions of many-server queues," Ann. Appl. Probab., 22, No. 2 (2012) 477-521. (PDF)
15. D. Galvin, F. Martinelli, K. Ramanan, P. Tetali, "The finite-state hard core model on a regular tree," SIAM Jour. Discrete Math, 25, No. 2 (2011) 894-915. (PDF)
16. M. Cudina and K. Ramanan, "Asymptotically optimal control for time-inhomogeneous networks," SIAM Jour. Contr. Opt., 49, No. 2 (2011) 611-645. (PDF)
17. L. Kruk, J. Lehoczky, K. Ramanan and S. Shreve, "Heavy traffic analysis for EDF queues with reneging," Ann. Appl. Probab., 21, No. 2 (2011) 484-545. (Arxiv)
18. H. Kaspi and K. Ramanan. "Law of large numbers limits for many-server queues," Ann. Appl. Probab., 21 (2011), 33-114. (Arxiv)
19. W.N. Kang and K. Ramanan, "Fluid limits for many-server queues with reneging" Ann. Appl. Probab., 20 (2010) 2204-2260. (Arxiv)
20. A. Mandelbaum and K. Ramanan. "Directional derivatives of oblique reflection maps," Math. Oper. Res., 35 (2010) 527-558. (PDF)
21. W.N. Kang and K. Ramanan, "A Dirichlet process characterization of a class of reflected diffusions," Ann. Probab., 38 (2010) 1062-1105. (Arxiv)
22. K. Burdzy, W.N. Kang and K. Ramanan, "The Skorokhod map in a time-dependent interval," Stoch. Proc. Appl., 119 (2009) 428-452.  (PDF)
23. L. Kontorovich and K. Ramanan. "Concentration inequalities for dependent random variables via the martingale method," Ann. Probab., 36 (2008) 6:2126-2158. (PDF)
24. R. Atar, A. Budhiraja and K. Ramanan. "Deterministic and stochastic differential inclusions with multiple surfaces of discontinuity," Probab. Theor. Rel. Fields, 142 (2008) 249-283. (PDF)
25. K. Ramanan and M. Reiman. "The heavy traffic limit of an unbalanced generalized processor sharing model," Ann. Appl. Probab., 18 (2008) 1:22-58. (PDF)
26. L. Kruk, J. Lehoczky, K. Ramanan and S. Shreve. "An explicit formula for the Skorokhod map on [0; a]," Ann. Probab., 35 (2007) 5:1740-1768.  (PDF)
27. K. Ramanan. "Reflected diffusions defined via the extended Skorokhod map," Elec. Jour. Probab., 11 (2006), 934-992. (PDF)
28. B. Luen, K. Ramanan and I. Ziedins. "Nonmonotonicity of phase transitions in a loss network with control,." Ann. Appl. Probab., 16 (2006), 3:1528-1562.  (PDF)
29. M. Andrews, K. Kumaran, K. Ramanan, A. Stolyar, P. Whiting and R. Vijayakumar. "Scheduling in a queueing system with asynchronously varying service rates," Probab.Engrg. Inform. Sci., 18 (2004) 2:191-217. (PDF) 
30. P. Winzer, H. Kogelnik and K. Ramanan. "Precise outage specifications for 1st-order PMD," IEEE Phot. Tech. Lett., 16 (2004) 2:449-451. (PDF)
31. K. Ramanan and M. Reiman. "Fluid and heavy traffic limits for a generalized processor sharing model," Ann. Appl. Probab., 13 (2003) 1, 100-139. (PDF)
32. P. Winzer, H. Kogelnik, C.-H. Kim, H. Kim, R. M. Jopson, L.E. Nelson and K. Ramanan. "Receiver impact on first-order PMD outage," IEEE Phot. Tech. Lett. 15 (2003), 10:1482-1484. (PDF)
33. P. Dupuis and K. Ramanan. "A time-reversed representation for the tail probabilities of stationary reflected Brownian motion," Stoch. Proc. Appl., 98 (2002) 2, 253-287. (PDF)
34. Ramanan, A. Sengupta, I. Ziedins and P. Mitra. "Markov random field models of multicasting in tree networks," Adv. App. Probab., 34 (2002) 1, 1-27. (PDF)
35. M. Andrews, K. Kumaran, K. Ramanan, A. Stolyar and P. Whiting. "Providing quality of service over a shared wireless link," IEEE Communications, 39, (2001) 2, 150-154. (PDF)
36. A. Stolyar and K. Ramanan. "Largest weighted delay first scheduling: large deviations and optimality," Ann. Appl. Probab., 11 (2001) 1, 1-49. (PDF)
37. P. Dupuis and K. Ramanan. "Explicit formulas for the solution of certain optimal control problems on domains with corners," (Invited Paper), Theor. Probab. Math. Stat., 63 (2000), 32-48. (PDF)
38. P. Dupuis and K. Ramanan. "A multiclass feedback queueing network with a regular Skorokhod problem," Queueing Systems, 36 (2000) 327-349. (PDF)
39. K. Ramanan and O. Zeitouni. "The quasi-stationary distribution for small random perturbations of certain one-dimensional maps," Stoch. Proc. Appl., 84 (1999), 25-51. (PDF)
40. P. Dupuis and K. Ramanan. "Convex duality and the Skorokhod problem - Part I," Probab. Theor. Rel. Fields, 115 (1999) 2, 153-195.   (PDF)
41. P. Dupuis and K. Ramanan. "Convex duality and the Skorokhod problem - Part II," Probab. Theor. Rel. Fields, 115 (1999) 2, 197-236.  (PDF)
42. P. Dupuis and K. Ramanan. "Large deviation properties of data sources that share a buffer," Ann. Appl. Probab., 8 (1998), 1070-1129. (PDF)
43. P. Dupuis and K. Ramanan. "A Skorokhod formulation and large deviation analysis of the generalized processor sharing model," Queueing Systems, 28 (1998), 109-124. (PDF)

Conference Publications

1. S. Kar, J. Moura and K. Ramanan. "Sample path large deviations for the randomly sampled continuous-discrete Kalman filter," Proceedings of the CDC Conference, Atlanta (2010). (PDF)
2. S. Kar, J. Moura and K. Ramanan. "Large deviations for many server networks with long-range dependent and batch arrivals," Proc. of 46th Annual Conf. on CCC, Allerton (2008). (PDF)
3. K. Ramanan. "From loss networks to interacting particle systems," Invited paper in Proc. of 55th Session of the ISI, Sydney, Australia (2005).
4. B. Luen, K. Ramanan and I. Ziedins. "Multicasting and phase transitions in tree loss networks." Invited paper in Proc. of 41st Annual Conf. on CCC, Allerton (2003), 1616-1625.
5. J. Cao and K. Ramanan. "A Poisson limit for buffer overflow probabilities." In Proc. of IEEE INFOCOM'02, 21 (2002), 1:994-1003. (PDF)
6. C. Chekuri, K. Ramanan, P. Whiting and L. Zhang. "Blocking probability estimates in a partitioned sector TDMA system." In Proc. of 4th International Conf. on Discrete Algorithms and Methods for Mobile Computing and Communications, Boston, MA (2000), 28-34. (PDF)
7. A. Bedekar, S. Borst, K. Ramanan, P. Whiting and E. Yeh. "Downlink scheduling in CDMA data networks." In Proc. of IEEE GLOBECOM (1999), 1984-1791.
8. K. Ramanan and A. Weiss. "Sharing Bandwidth in ATM." Invited paper in Proc. of 34th Annual Conf. on CCC, Allerton, (1996).
9. K. Ramanan. "Targeting heat exchanger networks," in Heat Exchanger Network Synthesis - A Pinch Technology Approach (1995), U. V. Shenoy, Gulf Publishing Co., Houston.

Technical Reports 

1. K. Ramanan. "On the rate function of multi-dimensional reflected Brownian motions." Bell Labs Technical Memorandum ITD-02-43817C (2002).
2. K. Majewski and K. Ramanan. "Minimizing large deviation paths of Jackson networks." Bell Labs Technical Memorandum ITD-02-43798G (2002).
3. K. Ramanan, K. Kumaran, S. Borst and P. Whiting. "Optimal capacity regions for wireless and wireline traffic with QoS constraints." Bell Labs Technical Memorandum, ITD-02-43767Y (2002).
4. K. Ramanan, P. Winzer and H. Kogelnik. "A new method for estimation of outage probabilities due to PMD." Bell Labs Technical Memorandum ITD-02-43751F (2002).