Research of Kavita Ramanan

Preprints

  • On the submartingale problem for reflected diffusions in piecewise smooth domains (with W. Kang), 2013.

    Journal Publications


  • Characterization of stationary distributions of reflected diffusions (with W. Kang), 2011
    Annals of Applied Probability in press, pdf file,
  • SPDE limits of many-server queues (with H. Kaspi),
    Annals of Applied Probability 23 (2013) 1:145--229; pdf file
  • Distributed parameter estimation in sensor networks: nonlinear observation models
    and imperfect communication (with S. Kar and J. Moura),
    IEEE Transactions on Information Theory 58 (2012) 6:3575 - 3605; pdf file of initial submission, Aug, 2008
  • Asymptotic approximations for the stationary distributions of many-server queues (with W. Kang)
    Annals of Applied Probability 22 (2012) 2:477-521 pdf file
  • The finite-state hard core model on a regular tree (with D. Galvin, F. Martinelli and P. Tetali)
    SIAM Jour. Discrete Math. 25 (2011) 2:894--915 pdf file
  • Heavy traffic analysis for EDF queues with reneging (with L. Kruk, J. Lehoczky and S. Shreve)
    Annals of Applied Probability 21 (2011) 2:484--545 pdf file
  • Asymptotically optimal controls for time-inhomogeneous networks (with M. Cudina),
    SIAM Jour. Control and Opt. pdf file 49 (2011) 2:611-645 pdf file
  • Law of large numbers limits for many-server queues (with H. Kaspi)
    Annals of Applied Probability 21, No. 1 (2011) 33--114 pdf file
  • Fluid limits of many-server queues with reneging (with W. Kang)
    Annals of Applied Probability 20 (2010) 2204--2260 pdf file
  • Directional derivatives of oblique reflection maps (with A. Mandelbaum),
    Mathematics of Operations Research 35 (2010) 527--558 pdf file
  • A Dirichlet process characterization of a class of multi-dimensional reflected diffusions (with W. Kang)
    Annals of Probability 38 (2010) 1062--1105 pdf file
  • The Skorokhod problem in a time-dependent interval (with K. Burdzy and W.Kang)
    Stochastic Processes and their Applications 119 (2009) 428--454 pdf file
  • Concentration inequalities for dependent random variables via the martingale method (with L. Kontorovich),
    Annals of Probability 36 (2008) 6:2126--2158 pdf file
  • Deterministic and stochastic differential inclusions with multiple surfaces of discontinuity
    (with R. Atar and A. Budhiraja), Probability Theory and Related Fields 142 (2008) 249--283
  • The heavy traffic limit of an unbalanced generalized processor sharing (with M. Reiman),
    Annals of Applied Probability 18 (2008) 1:22--58
  • An explicit formula for the Skorokhod map on [0,a] (with L. Kruk, J. Lehoczky and S. Shreve),
    Annals of Probability 35 (2007) 5:1740--1768
  • Reflected diffusions defined via the extended Skorokhod map
    Electronic Journal of Probability 11 (2006) 11:934--992
  • Nonmonotonicity of Phase Transitions in a Loss Network with Controls (with B. Luen and I. Ziedins)
    Annals of Applied Probability 16 (2006) 3:1528--1562
  • Scheduling in a Queueing System with Asynchronously Varying service Rates
    (with M. Andrews, K. Kumaran, A. Stolyar, P. Whiting and R. Vijayakumar)
    Probab. Engrg. Inform. Sci. 18 (2004) 2:191--217
  • Precise outage specifications for first-order PMD (with H. Kogelnik and P. Winzer)
    IEEE Phot. Tech. Lett. 16 (2004) 2:449--451
  • Fluid and heavy traffic limits for a generalized processor sharing model (with M. Reiman)
    Annals of Applied Probability 13 (2003) 1:100--139
  • Receiver Impact on first-order PMD outage
    (with R. Jopson, C.H.Kim, H. Kim, H. Kogelnik, L.E. Nelson and P. Winzer)
    IEEE Phot. Tech. Lett. 15 (2003) 10:1482--1484
  • A time-reversed representation for the tail probabilities of stationary reflected Brownian motion (with P. Dupuis)
    Stochastic Processes and their Applications 98 (2002) 2:253--287
  • Markov random field models of multicasting in tree networks (with A. Sengupta, I. Ziedins and P. Mitra)
    Advances in Applied Probability 34 (2002) 1:1--27
  • Providing quality of service over a shared wireless link (with M. Andrews, K. Kumaran, A. Stolyar and P. Whiting)
    IEEE Communications 39 (2001) 2:150--154
  • Largest weighted delay first scheduling: large deviations and optimality (with A. Stolyar)
    Annals of Applied Probability 11 (2001) 1:1--49
  • Explicit formulas for the solution of certain optimal control problems on domains with corners (with P. Dupuis)
    Theor. Probab. Math. Stat. 63 (2000) 32--48 (invited paper) pdf file
  • A multiclass feedback queueing network with a regular Skorokhod problem (with P. Dupuis)
    Queueing Systems 36 (2000) 327--349
  • The quasi-stationary distribution for small random perturbations of certain one-dimensional maps (with O. Zeitouni)
    Stochastic Processes and their Applications 84 (1999) 25--51 pdf file
  • Convex duality and the Skorokhod problem -- Part I (with P. Dupuis)
    Probability Theory and Related Fields 115 (1999) 2:153--195
  • Convex duality and the Skorokhod problem -- Part II (with P. Dupuis)
    Probability Theory and Related Fields 115 (1999) 2:197--236
  • Large deviation properties of data sources that share a buffer (with P. Dupuis)
    Annals of Applied Probability 8 (1998) 1070--1129
  • A Skorokhod formulation and large deviation analysis of the generalized processor sharing model (with P. Dupuis)
    Queueing Systems 28 (1998), 109--124

    Book Chapters

  • Double Skorokhod Map and Real-Time Reneging Queues, (with L. Kruk, J. Lehoczky and S. Shreve)
    Markov Processes and Related Topics: A Festschrift for Thomas G. Kurtz, IMS Collections Vol. 4 (2008) 169--193

    Refereed and Invited Conference Publications

  • Sample path large deviations for the randomly sampled continuous-discrete Kalman filter
    (with S. Kar and J. Moura) Proc. of CDC Conference, Atlanta, Georgia (2010)
  • Large deviations for many-server networks with long-range dependent and batch arrivals
    (with S. Kar and J. Moura) Proc. of 46th Annual Conf. on CCC, Allerton (2008)
  • From loss networks to interacting particle systems,
    Invited paper in Proc. of 55th Session of the ISI, Sydney, Australia (2005)
  • Multicasting and phase transitions in tree loss networks (with B. Luen and I. Ziedins)
    Invited paper in Proc. of 41st Annual Conf. on CCC, Allerton (2003), 1616--1625.
  • A Poisson limit for buffer overflow probabilities (with J. Cao)
    In Proc. of IEEE INFOCOM '02 21 (2002), 1:994--1003
  • Blocking probability estimates in a partitioned sector TDMA System (with C. Chekuri, P. Whiting and L. Zhang)
    In Proc. of 4th International Conf. on Discrete Algorithms and Methods for Mobile Computing and Communications,
    Boston, MA (2000), 28--34
  • Downlink scheduling in CDMA data networks (with A. Bedekar, S. Borst, P. Whiting and E. Yeh)
    In Proc. of IEEE GLOBECOM (1999), 1984--1791
  • Sharing bandwidth in ATM,
    Invited paper in Proc. of 34th Annual Conf. on CCC, Allerton (1996)

    All pdf copies of files provided above are meant for personal scientific and non-commercial use only

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