Liao, Yin-Ting; Ramanan, Kavita Geometric sharp large deviations for random projections of \(\ell_p^n\) spheres and balls. (English) Zbl 1531.60027 Electron. J. Probab. 29, Paper No. 1, 56 p. (2024). MSC: 60F10 52A23 46B06 41A60 PDFBibTeX XMLCite \textit{Y.-T. Liao} and \textit{K. Ramanan}, Electron. J. Probab. 29, Paper No. 1, 56 p. (2024; Zbl 1531.60027) Full Text: DOI arXiv
Hu, Kevin; Ramanan, Kavita; Salkeld, William A Mimicking Theorem for processes driven by fractional Brownian motion. arXiv:2405.08803 Preprint, arXiv:2405.08803 [math.PR] (2024). BibTeX Cite \textit{K. Hu} et al., ``A Mimicking Theorem for processes driven by fractional Brownian motion'', Preprint, arXiv:2405.08803 [math.PR] (2024) Full Text: arXiv OA License
Hu, Kevin; Ramanan, Kavita; Salkeld, William The fundamental martingale with applications to Markov Random Fields. arXiv:2405.08795 Preprint, arXiv:2405.08795 [math.PR] (2024). BibTeX Cite \textit{K. Hu} et al., ``The fundamental martingale with applications to Markov Random Fields'', Preprint, arXiv:2405.08795 [math.PR] (2024) Full Text: arXiv OA License
Ramanan, Kavita; Xie, Xiaoyu The \(\ell_r\)-Levy-Grothendieck problem and \(r\rightarrow p\) norms of Levy matrices. arXiv:2404.18299 Preprint, arXiv:2404.18299 [math.PR] (2024). MSC: 60B20 60E07 60F05 15A60 46B09 BibTeX Cite \textit{K. Ramanan} and \textit{X. Xie}, ``The $\ell_r$-Levy-Grothendieck problem and $r\rightarrow p$ norms of Levy matrices'', Preprint, arXiv:2404.18299 [math.PR] (2024) Full Text: arXiv OA License
Ramanan, Kavita Interacting stochastic processes on sparse random graphs. (English) Zbl 1533.60181 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4394-4425 (2023). MSC: 60K35 60G60 60J60 60J27 60J80 60F15 PDFBibTeX XMLCite \textit{K. Ramanan}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4394--4425 (2023; Zbl 1533.60181) Full Text: DOI arXiv OA License
Kim, Steven Soojin; Ramanan, Kavita Large deviation principles induced by the Stiefel manifold, and random multidimensional projections. (English) Zbl 1530.60032 Electron. J. Probab. 28, Paper No. 169, 23 p. (2023). MSC: 60F10 52A23 60B20 PDFBibTeX XMLCite \textit{S. S. Kim} and \textit{K. Ramanan}, Electron. J. Probab. 28, Paper No. 169, 23 p. (2023; Zbl 1530.60032) Full Text: DOI arXiv
Lacker, Daniel; Ramanan, Kavita; Wu, Ruoyu Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees. (English) Zbl 07768340 Probab. Theory Relat. Fields 187, No. 3-4, 817-884 (2023). MSC: 60K35 60J60 60J80 60F17 82C22 PDFBibTeX XMLCite \textit{D. Lacker} et al., Probab. Theory Relat. Fields 187, No. 3--4, 817--884 (2023; Zbl 07768340) Full Text: DOI arXiv
Atar, Rami; Kang, Weining; Kaspi, Haya; Ramanan, Kavita Long-time limit of nonlinearly coupled measure-valued equations that model many-server queues with reneging. (English) Zbl 1534.90040 SIAM J. Math. Anal. 55, No. 6, 7189-7239 (2023). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{R. Atar} et al., SIAM J. Math. Anal. 55, No. 6, 7189--7239 (2023; Zbl 1534.90040) Full Text: DOI arXiv
Lacker, Daniel; Ramanan, Kavita; Wu, Ruoyu Local weak convergence for sparse networks of interacting processes. (English) Zbl 1525.60114 Ann. Appl. Probab. 33, No. 2, 843-888 (2023). MSC: 60K35 60J05 60J60 60J80 60F17 60B10 82C22 PDFBibTeX XMLCite \textit{D. Lacker} et al., Ann. Appl. Probab. 33, No. 2, 843--888 (2023; Zbl 1525.60114) Full Text: DOI arXiv
Aistleitner, Christoph; Gantert, Nina; Kabluchko, Zakhar; Prochno, Joscha; Ramanan, Kavita Large deviation principles for lacunary sums. (English) Zbl 1506.42007 Trans. Am. Math. Soc. 376, No. 1, 507-553 (2023). Reviewer: Enji Sato (Yamagata) MSC: 42A55 60F10 11L03 37A05 11D45 11K70 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., Trans. Am. Math. Soc. 376, No. 1, 507--553 (2023; Zbl 1506.42007) Full Text: DOI arXiv Link
Ramanan, Kavita; Yasodharan, Sarath On the large deviation rate function for marked sparse random graphs. arXiv:2312.16103 Preprint, arXiv:2312.16103 [math.PR] (2023). MSC: 60F10 05C80 BibTeX Cite \textit{K. Ramanan} and \textit{S. Yasodharan}, ``On the large deviation rate function for marked sparse random graphs'', Preprint, arXiv:2312.16103 [math.PR] (2023) Full Text: arXiv OA License
Cocomello, Juniper; Ramanan, Kavita Exact description of limiting SIR and SEIR dynamics on locally tree-like graphs. arXiv:2309.08829 Preprint, arXiv:2309.08829 [math.PR] (2023). MSC: 60K35 60F17 60G60 BibTeX Cite \textit{J. Cocomello} and \textit{K. Ramanan}, ``Exact description of limiting SIR and SEIR dynamics on locally tree-like graphs'', Preprint, arXiv:2309.08829 [math.PR] (2023) Full Text: arXiv OA License
Lopatto, Patrick; Ramanan, Kavita; Xie, Xiaoyu Quenched large deviation principles for random projections of \(\ell_p^n\) balls. arXiv:2308.00649 Preprint, arXiv:2308.00649 [math.PR] (2023). BibTeX Cite \textit{P. Lopatto} et al., ``Quenched large deviation principles for random projections of $\ell_p^n$ balls'', Preprint, arXiv:2308.00649 [math.PR] (2023) Full Text: arXiv OA License
Dumitriu, Ioana; Kemp, Todd; Ramanan, Kavita Stochastic networks and reflecting Brownian motion: the mathematics of Ruth Williams. (English) Zbl 1493.60003 Notices Am. Math. Soc. 69, No. 3, 363-374 (2022). MSC: 60-03 01A70 PDFBibTeX XMLCite \textit{I. Dumitriu} et al., Notices Am. Math. Soc. 69, No. 3, 363--374 (2022; Zbl 1493.60003) Full Text: DOI
Kim, Steven Soojin; Liao, Yin-Ting; Ramanan, Kavita An asymptotic thin shell condition and large deviations for random multidimensional projections. (English) Zbl 1480.60061 Adv. Appl. Math. 134, Article ID 102306, 64 p. (2022). MSC: 60F10 52A23 46B06 PDFBibTeX XMLCite \textit{S. S. Kim} et al., Adv. Appl. Math. 134, Article ID 102306, 64 p. (2022; Zbl 1480.60061) Full Text: DOI arXiv
Ganguly, Ankan; Ramanan, Kavita Interacting Jump Processes Preserve Semi-Global Markov Random Fields on Path Space. arXiv:2210.09253 Preprint, arXiv:2210.09253 [math.PR] (2022). MSC: 60K35 60J74 60J80 60K25 BibTeX Cite \textit{A. Ganguly} and \textit{K. Ramanan}, ``Interacting Jump Processes Preserve Semi-Global Markov Random Fields on Path Space'', Preprint, arXiv:2210.09253 [math.PR] (2022) Full Text: arXiv OA License
Ganguly, Ankan; Ramanan, Kavita Hydrodynamic Limits of non-Markovian Interacting Particle Systems on Sparse Graphs. arXiv:2205.01587 Preprint, arXiv:2205.01587 [math.PR] (2022). MSC: 60K35 60J74 60J80 60K25 60F15 BibTeX Cite \textit{A. Ganguly} and \textit{K. Ramanan}, ``Hydrodynamic Limits of non-Markovian Interacting Particle Systems on Sparse Graphs'', Preprint, arXiv:2205.01587 [math.PR] (2022) Full Text: arXiv OA License
Ramanan, Kavita Refined convergence results for interacting diffusions and mean-field games. (English) Zbl 1536.91053 Delarue, François (ed.), Mean field games. AMS short course on mean field games: agent based models to Nash equilibria, Denver, Colorado, USA, January 13–14, 2020. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 78, 105-161 (2021). MSC: 91A16 91A15 60F10 60J60 PDFBibTeX XMLCite \textit{K. Ramanan}, Proc. Symp. Appl. Math. 78, 105--161 (2021; Zbl 1536.91053) Full Text: DOI
Bhattacharya, Bhaswar B.; Ramanan, Kavita Parameter estimation for undirected graphical models with hard constraints. (English) Zbl 1487.62026 IEEE Trans. Inf. Theory 67, No. 10, 6790-6809 (2021). MSC: 62F99 62M99 60G60 05C15 PDFBibTeX XMLCite \textit{B. B. Bhattacharya} and \textit{K. Ramanan}, IEEE Trans. Inf. Theory 67, No. 10, 6790--6809 (2021; Zbl 1487.62026) Full Text: DOI arXiv
Lacker, Daniel; Ramanan, Kavita; Wu, Ruoyu Locally interacting diffusions as Markov random fields on path space. (English) Zbl 1475.60105 Stochastic Processes Appl. 140, 81-114 (2021). MSC: 60H10 60G60 82C20 PDFBibTeX XMLCite \textit{D. Lacker} et al., Stochastic Processes Appl. 140, 81--114 (2021; Zbl 1475.60105) Full Text: DOI arXiv
Lipshutz, David; Ramanan, Kavita Sensitivity analysis for the stationary distribution of reflected Brownian motion in a convex polyhedral cone. (English) Zbl 1478.60223 Math. Oper. Res. 46, No. 2, 524-558 (2021). MSC: 60J65 60G17 60G40 65C35 PDFBibTeX XMLCite \textit{D. Lipshutz} and \textit{K. Ramanan}, Math. Oper. Res. 46, No. 2, 524--558 (2021; Zbl 1478.60223) Full Text: DOI arXiv
Aghajani, Reza; Ramanan, Kavita The limit of stationary distributions of many-server queues in the Halfin-Whitt regime. (English) Zbl 1451.90043 Math. Oper. Res. 45, No. 3, 1016-1055 (2020). MSC: 90B22 60K25 60J70 90B15 68M20 PDFBibTeX XMLCite \textit{R. Aghajani} and \textit{K. Ramanan}, Math. Oper. Res. 45, No. 3, 1016--1055 (2020; Zbl 1451.90043) Full Text: DOI arXiv
Delarue, François; Lacker, Daniel; Ramanan, Kavita From the master equation to mean field game limit theory: large deviations and concentration of measure. (English) Zbl 1445.60025 Ann. Probab. 48, No. 1, 211-263 (2020). Reviewer: Edward Omey (Brussels) MSC: 60F10 60E15 60H10 91A07 91A15 91G80 60K35 PDFBibTeX XMLCite \textit{F. Delarue} et al., Ann. Probab. 48, No. 1, 211--263 (2020; Zbl 1445.60025) Full Text: DOI arXiv Euclid
Dupuis, Paul; Laschos, Vaios; Ramanan, Kavita Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials. (English) Zbl 1445.60026 Electron. J. Probab. 25, Paper No. 46, 41 p. (2020). MSC: 60F10 60K35 60B20 15B52 PDFBibTeX XMLCite \textit{P. Dupuis} et al., Electron. J. Probab. 25, Paper No. 46, 41 p. (2020; Zbl 1445.60026) Full Text: DOI arXiv Euclid
Agarwal, Pooja; Ramanan, Kavita Invariant states of hydrodynamic limits of randomized load balancing networks. arXiv:2008.08510 Preprint, arXiv:2008.08510 [math.PR] (2020). MSC: 60K25 60K35 90B15 BibTeX Cite \textit{P. Agarwal} and \textit{K. Ramanan}, ``Invariant states of hydrodynamic limits of randomized load balancing networks'', Preprint, arXiv:2008.08510 [math.PR] (2020) Full Text: arXiv OA License
Dhara, Souvik; Mukherjee, Debankur; Ramanan, Kavita On \(r\)-to-\(p\) norms of random matrices with nonnegative entries: Asymptotic normality and \(\ell_\infty\)-bounds for the maximizer. arXiv:2005.14056 Preprint, arXiv:2005.14056 [math.PR] (2020). MSC: 60B20 15B52 15A60 15A18 BibTeX Cite \textit{S. Dhara} et al., ``On $r$-to-$p$ norms of random matrices with nonnegative entries: Asymptotic normality and $\ell_\infty$-bounds for the maximizer'', Preprint, arXiv:2005.14056 [math.PR] (2020) Full Text: arXiv OA License
Lipshutz, David; Ramanan, Kavita A Monte Carlo method for estimating sensitivities of reflected diffusions in convex polyhedral domains. (English) Zbl 07213005 Stoch. Syst. 9, No. 2, 101-140 (2019). MSC: 65C05 60H10 60J65 PDFBibTeX XMLCite \textit{D. Lipshutz} and \textit{K. Ramanan}, Stoch. Syst. 9, No. 2, 101--140 (2019; Zbl 07213005) Full Text: DOI arXiv OA License
Lacker, Daniel; Ramanan, Kavita Rare Nash equilibria and the price of anarchy in large static games. (English) Zbl 1435.91024 Math. Oper. Res. 44, No. 2, 400-422 (2019). MSC: 91A16 91A14 91A07 91A43 60F10 PDFBibTeX XMLCite \textit{D. Lacker} and \textit{K. Ramanan}, Math. Oper. Res. 44, No. 2, 400--422 (2019; Zbl 1435.91024) Full Text: DOI arXiv
Lipshutz, David; Ramanan, Kavita Pathwise differentiability of reflected diffusions in convex polyhedral domains. (English. French summary) Zbl 1466.60076 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1439-1476 (2019). MSC: 60G17 90C31 93B35 60H07 60H10 65C30 PDFBibTeX XMLCite \textit{D. Lipshutz} and \textit{K. Ramanan}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1439--1476 (2019; Zbl 1466.60076) Full Text: DOI arXiv Euclid
Aghajani, Reza; Ramanan, Kavita The hydrodynamic limit of a randomized load balancing network. (English) Zbl 1444.60080 Ann. Appl. Probab. 29, No. 4, 2114-2174 (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60K35 90B15 90B22 68M20 60F17 PDFBibTeX XMLCite \textit{R. Aghajani} and \textit{K. Ramanan}, Ann. Appl. Probab. 29, No. 4, 2114--2174 (2019; Zbl 1444.60080) Full Text: DOI arXiv Euclid
Gamarnik, David; Ramanan, Kavita Uniqueness of Gibbs measures for continuous hardcore models. (English) Zbl 1466.60205 Ann. Probab. 47, No. 4, 1949-1981 (2019). MSC: 60K35 82B27 68W25 PDFBibTeX XMLCite \textit{D. Gamarnik} and \textit{K. Ramanan}, Ann. Probab. 47, No. 4, 1949--1981 (2019; Zbl 1466.60205) Full Text: DOI arXiv Euclid
Dupuis, Paul; Laschos, Vaios; Ramanan, Kavita Exit time risk-sensitive control for systems of cooperative agents. (English) Zbl 1422.93185 Math. Control Signals Syst. 31, No. 3, 279-332 (2019). MSC: 93E20 91B06 PDFBibTeX XMLCite \textit{P. Dupuis} et al., Math. Control Signals Syst. 31, No. 3, 279--332 (2019; Zbl 1422.93185) Full Text: DOI arXiv
Delarue, François; Lacker, Daniel; Ramanan, Kavita From the master equation to mean field game limit theory: a central limit theorem. (English) Zbl 1508.60032 Electron. J. Probab. 24, Paper No. 51, 54 p. (2019). MSC: 60F05 60H10 60H15 91A07 91A15 91G80 60K35 PDFBibTeX XMLCite \textit{F. Delarue} et al., Electron. J. Probab. 24, Paper No. 51, 54 p. (2019; Zbl 1508.60032) Full Text: DOI arXiv Euclid
Aghajani, Reza; Ramanan, Kavita Ergodicity of an SPDE associated with a many-server queue. (English) Zbl 1447.60087 Ann. Appl. Probab. 29, No. 2, 994-1045 (2019). MSC: 60H15 60G10 60K25 90B22 PDFBibTeX XMLCite \textit{R. Aghajani} and \textit{K. Ramanan}, Ann. Appl. Probab. 29, No. 2, 994--1045 (2019; Zbl 1447.60087) Full Text: DOI arXiv Euclid
Ramanan, Kavita; Smith, Aaron Bounds on lifting continuous-state Markov chains to speed up mixing. (English) Zbl 1404.60101 J. Theor. Probab. 31, No. 3, 1647-1678 (2018). MSC: 60J05 PDFBibTeX XMLCite \textit{K. Ramanan} and \textit{A. Smith}, J. Theor. Probab. 31, No. 3, 1647--1678 (2018; Zbl 1404.60101) Full Text: DOI arXiv
Ramanan, Kavita; Shkolnikov, Mykhaylo Intertwinings of beta-Dyson Brownian motions of different dimensions. (English. French summary) Zbl 1391.60145 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 1152-1163 (2018). MSC: 60H10 33D52 82C22 PDFBibTeX XMLCite \textit{K. Ramanan} and \textit{M. Shkolnikov}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 1152--1163 (2018; Zbl 1391.60145) Full Text: DOI arXiv Euclid
Lipshutz, David; Ramanan, Kavita On directional derivatives of Skorokhod maps in convex polyhedral domains. (English) Zbl 1401.90232 Ann. Appl. Probab. 28, No. 2, 688-750 (2018). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C31 93B35 60G17 90B15 PDFBibTeX XMLCite \textit{D. Lipshutz} and \textit{K. Ramanan}, Ann. Appl. Probab. 28, No. 2, 688--750 (2018; Zbl 1401.90232) Full Text: DOI arXiv Euclid
Atar, Rami; Biswas, Anup; Kaspi, Haya; Ramanan, Kavita A Skorokhod map on measure-valued paths with applications to priority queues. (English) Zbl 1391.60220 Ann. Appl. Probab. 28, No. 1, 418-481 (2018). MSC: 60K25 60G57 68M20 PDFBibTeX XMLCite \textit{R. Atar} et al., Ann. Appl. Probab. 28, No. 1, 418--481 (2018; Zbl 1391.60220) Full Text: DOI arXiv
Gantert, Nina; Kim, Steven Soojin; Ramanan, Kavita Large deviations for random projections of \(\ell^{p}\) balls. (English) Zbl 1459.60067 Ann. Probab. 45, No. 6B, 4419-4476 (2017). MSC: 60F10 52A20 60K37 60D05 PDFBibTeX XMLCite \textit{N. Gantert} et al., Ann. Probab. 45, No. 6B, 4419--4476 (2017; Zbl 1459.60067) Full Text: DOI arXiv Euclid
Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald; Ramanan, Kavita Obliquely reflected Brownian motion in nonsmooth planar domains. (English) Zbl 1392.60069 Ann. Probab. 45, No. 5, 2971-3037 (2017). Reviewer: René L. Schilling (Dresden) MSC: 60J65 60H20 60J55 30C20 PDFBibTeX XMLCite \textit{K. Burdzy} et al., Ann. Probab. 45, No. 5, 2971--3037 (2017; Zbl 1392.60069) Full Text: DOI arXiv Euclid
Ramanan, Kavita Random projections of high-dimensional measures. (English) Zbl 1366.60111 Notices Am. Math. Soc. 64, No. 5, 440-442 (2017). MSC: 60K35 60F10 PDFBibTeX XMLCite \textit{K. Ramanan}, Notices Am. Math. Soc. 64, No. 5, 440--442 (2017; Zbl 1366.60111)
Kang, Weining; Ramanan, Kavita On the submartingale problem for reflected diffusions in domains with piecewise smooth boundaries. (English) Zbl 1459.60162 Ann. Probab. 45, No. 1, 404-468 (2017). MSC: 60J60 60H10 60J65 90B15 90B22 PDFBibTeX XMLCite \textit{W. Kang} and \textit{K. Ramanan}, Ann. Probab. 45, No. 1, 404--468 (2017; Zbl 1459.60162) Full Text: DOI arXiv Euclid
Gantert, Nina; Kim, Steven Soojin; Ramanan, Kavita Cramér’s theorem is atypical. (English) Zbl 1352.60038 Letzter, Gail (ed.) et al., Advances in the mathematical sciences. Research from the 2015 association for women in mathematics symposium, University of Maryland, College Park, MD, USA. Cham: Springer (ISBN 978-3-319-34137-8/hbk; 978-3-319-34139-2/ebook). Association for Women in Mathematics Series 6, 253-270 (2016). MSC: 60F10 60D05 PDFBibTeX XMLCite \textit{N. Gantert} et al., Assoc. Women Math. Ser. 6, 253--270 (2016; Zbl 1352.60038) Full Text: DOI arXiv
Dupuis, Paul; Ramanan, Kavita; Wu, Wei Large Deviation Principle For Finite-State Mean Field Interacting Particle Systems. arXiv:1601.06219 Preprint, arXiv:1601.06219 [math.PR] (2016). MSC: 60F10 60K35 BibTeX Cite \textit{P. Dupuis} et al., ``Large Deviation Principle For Finite-State Mean Field Interacting Particle Systems'', Preprint, arXiv:1601.06219 [math.PR] (2016) Full Text: arXiv OA License
Budhiraja, Amarjit; Dupuis, Paul; Fischer, Markus; Ramanan, Kavita Local stability of Kolmogorov forward equations for finite state nonlinear Markov processes. (English) Zbl 1337.60240 Electron. J. Probab. 20, Paper No. 81, 30 p. (2015). MSC: 60K35 60J10 34D20 93D30 60F10 60K25 PDFBibTeX XMLCite \textit{A. Budhiraja} et al., Electron. J. Probab. 20, Paper No. 81, 30 p. (2015; Zbl 1337.60240) Full Text: DOI arXiv
Budhiraja, Amarjit; Dupuis, Paul; Fischer, Markus; Ramanan, Kavita Limits of relative entropies associated with weakly interacting particle systems. (English) Zbl 1321.60202 Electron. J. Probab. 20, Paper No. 80, 22 p. (2015). MSC: 60K35 60J27 60F10 93D30 34D20 PDFBibTeX XMLCite \textit{A. Budhiraja} et al., Electron. J. Probab. 20, Paper No. 80, 22 p. (2015; Zbl 1321.60202) Full Text: DOI arXiv
Aghajani, Reza; Li, Xingjie; Ramanan, Kavita Mean-field Dynamics of Load-Balancing Networks with General Service Distributions. arXiv:1512.05056 Preprint, arXiv:1512.05056 [math.PR] (2015). BibTeX Cite \textit{R. Aghajani} et al., ``Mean-field Dynamics of Load-Balancing Networks with General Service Distributions'', Preprint, arXiv:1512.05056 [math.PR] (2015) Full Text: arXiv OA License
Gantert, Nina; Ramanan, Kavita; Rembart, Franz Large deviations for weighted sums of stretched exponential random variables. (English) Zbl 1314.60076 Electron. Commun. Probab. 19, Paper No. 41, 14 p. (2014). MSC: 60F10 62G08 62G32 PDFBibTeX XMLCite \textit{N. Gantert} et al., Electron. Commun. Probab. 19, Paper No. 41, 14 p. (2014; Zbl 1314.60076) Full Text: DOI arXiv
Kang, Weining; Ramanan, Kavita Characterization of stationary distributions of reflected diffusions. (English) Zbl 1306.60111 Ann. Appl. Probab. 24, No. 4, 1329-1374 (2014). Reviewer: Andrew Dale (Durban) MSC: 60J60 60J65 60H10 60K25 90B15 90B22 PDFBibTeX XMLCite \textit{W. Kang} and \textit{K. Ramanan}, Ann. Appl. Probab. 24, No. 4, 1329--1374 (2014; Zbl 1306.60111) Full Text: DOI arXiv Euclid
Kaspi, Haya; Ramanan, Kavita SPDE limits of many-server queues. (English) Zbl 1271.60098 Ann. Appl. Probab. 23, No. 1, 145-229 (2013). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K25 60F17 60H15 90B22 68M20 PDFBibTeX XMLCite \textit{H. Kaspi} and \textit{K. Ramanan}, Ann. Appl. Probab. 23, No. 1, 145--229 (2013; Zbl 1271.60098) Full Text: DOI arXiv Euclid
Kar, Soummya; Moura, José M. F.; Ramanan, Kavita Distributed parameter estimation in sensor networks: nonlinear observation models and imperfect communication. (English) Zbl 1365.94021 IEEE Trans. Inf. Theory 58, No. 6, 3575-3605 (2012). MSC: 94A05 05C50 62F12 62F30 62H12 62L20 PDFBibTeX XMLCite \textit{S. Kar} et al., IEEE Trans. Inf. Theory 58, No. 6, 3575--3605 (2012; Zbl 1365.94021) Full Text: DOI arXiv
Kang, Weining; Ramanan, Kavita Asymptotic approximations for stationary distributions of many-server queues with abandonment. (English) Zbl 1245.60087 Ann. Appl. Probab. 22, No. 2, 477-521 (2012). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 68M20 90B22 60F99 PDFBibTeX XMLCite \textit{W. Kang} and \textit{K. Ramanan}, Ann. Appl. Probab. 22, No. 2, 477--521 (2012; Zbl 1245.60087) Full Text: DOI arXiv Euclid
Galvin, David; Martinelli, Fabio; Ramanan, Kavita; Tetali, Prasad The multistate hard core model on a regular tree. (English) Zbl 1232.82006 SIAM J. Discrete Math. 25, No. 2, 894-915 (2011). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B26 60K35 90B15 05C99 PDFBibTeX XMLCite \textit{D. Galvin} et al., SIAM J. Discrete Math. 25, No. 2, 894--915 (2011; Zbl 1232.82006) Full Text: DOI arXiv
Čudina, Milica; Ramanan, Kavita Asymptotically optimal controls for time-inhomogeneous networks. (English) Zbl 1221.60131 SIAM J. Control Optim. 49, No. 2, 611-645 (2011). MSC: 60K25 60K20 93E20 PDFBibTeX XMLCite \textit{M. Čudina} and \textit{K. Ramanan}, SIAM J. Control Optim. 49, No. 2, 611--645 (2011; Zbl 1221.60131) Full Text: DOI Link
Kruk, Łukasz; Lehoczky, John; Ramanan, Kavita; Shreve, Steven Heavy traffic analysis for EDF queues with reneging. (English) Zbl 1220.60053 Ann. Appl. Probab. 21, No. 2, 484-545 (2011). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60G57 60J65 68M20 90B22 PDFBibTeX XMLCite \textit{Ł. Kruk} et al., Ann. Appl. Probab. 21, No. 2, 484--545 (2011; Zbl 1220.60053) Full Text: DOI arXiv
Kaspi, Haya; Ramanan, Kavita Law of large numbers limits for many-server queues. (English) Zbl 1208.60095 Ann. Appl. Probab. 21, No. 1, 33-114 (2011). Reviewer: Marina Gorunescu (Craiova) MSC: 60K25 60F17 90B22 60H99 35D99 PDFBibTeX XMLCite \textit{H. Kaspi} and \textit{K. Ramanan}, Ann. Appl. Probab. 21, No. 1, 33--114 (2011; Zbl 1208.60095) Full Text: DOI arXiv
Mandelbaum, Avi; Ramanan, Kavita Directional derivatives of oblique reflection maps. (English) Zbl 1220.60054 Math. Oper. Res. 35, No. 3, 527-558 (2010). Reviewer: Jerzy Martyna (Kraków) MSC: 60K25 90B15 68M20 90B22 PDFBibTeX XMLCite \textit{A. Mandelbaum} and \textit{K. Ramanan}, Math. Oper. Res. 35, No. 3, 527--558 (2010; Zbl 1220.60054) Full Text: DOI
Kang, Weining; Ramanan, Kavita Fluid limits of many-server queues with reneging. (English) Zbl 1208.60094 Ann. Appl. Probab. 20, No. 6, 2204-2260 (2010). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 60F17 90B22 60H99 35D99 PDFBibTeX XMLCite \textit{W. Kang} and \textit{K. Ramanan}, Ann. Appl. Probab. 20, No. 6, 2204--2260 (2010; Zbl 1208.60094) Full Text: DOI arXiv
Kang, Weining; Ramanan, Kavita A Dirichlet process characterization of a class of reflected diffusions. (English) Zbl 1202.60059 Ann. Probab. 38, No. 3, 1062-1105 (2010). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60J55 60J65 PDFBibTeX XMLCite \textit{W. Kang} and \textit{K. Ramanan}, Ann. Probab. 38, No. 3, 1062--1105 (2010; Zbl 1202.60059) Full Text: DOI arXiv
Ramanan, Kavita Book review of: S. Meyn, Control techniques for complex networks. (English) Zbl 1328.00061 J. Am. Stat. Assoc. 104, No. 487, 1274-1275 (2009). MSC: 00A17 91-01 90-01 60-01 93-01 PDFBibTeX XMLCite \textit{K. Ramanan}, J. Am. Stat. Assoc. 104, No. 487, 1274--1275 (2009; Zbl 1328.00061) Full Text: DOI
Burdzy, Krzysztof; Kang, Weining; Ramanan, Kavita The Skorokhod problem in a time-dependent interval. (English) Zbl 1186.60035 Stochastic Processes Appl. 119, No. 2, 428-452 (2009). Reviewer: Yu. V. Kozachenko (Kyïv) MSC: 60G17 60J65 PDFBibTeX XMLCite \textit{K. Burdzy} et al., Stochastic Processes Appl. 119, No. 2, 428--452 (2009; Zbl 1186.60035) Full Text: DOI arXiv
Kruk, Łukasz; Lehoczky, John; Ramanan, Kavita; Shreve, Steven Double Skorokhod map and reneging real-time queues. (English) Zbl 1170.60314 Ethier, Stewart N. (ed.) et al., Markov processes and related topics: A Festschrift for Thomas G. Kurtz. Selected papers of the conference, Madison, WI, USA, July 10–13, 2006. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-76-8/pb). Institute of Mathematical Statistics Collections 4, 169-193 (2008). MSC: 60G17 60G07 90B22 90B05 PDFBibTeX XMLCite \textit{Ł. Kruk} et al., Inst. Math. Stat. Collect. 4, 169--193 (2008; Zbl 1170.60314) Full Text: DOI
Kontorovich, Leonid (Aryeh); Ramanan, Kavita Concentration inequalities for dependent random variables via the martingale method. (English) Zbl 1154.60310 Ann. Probab. 36, No. 6, 2126-2158 (2008). MSC: 60E15 60J10 60G42 PDFBibTeX XMLCite \textit{L. Kontorovich} and \textit{K. Ramanan}, Ann. Probab. 36, No. 6, 2126--2158 (2008; Zbl 1154.60310) Full Text: DOI arXiv
Atar, Rami; Budhiraja, Amarjit; Ramanan, Kavita Deterministic and stochastic differential inclusions with multiple surfaces of discontinuity. (English) Zbl 1156.60037 Probab. Theory Relat. Fields 142, No. 1-2, 249-283 (2008). Reviewer: Romeo Negrea (Timisoara) MSC: 60H10 34A60 60J60 34F05 34A36 60H99 PDFBibTeX XMLCite \textit{R. Atar} et al., Probab. Theory Relat. Fields 142, No. 1--2, 249--283 (2008; Zbl 1156.60037) Full Text: DOI
Ramanan, Kavita; Reiman, Martin I. The heavy traffic limit of an unbalanced generalized processor sharing model. (English) Zbl 1144.60056 Ann. Appl. Probab. 18, No. 1, 22-58 (2008). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60F05 60F17 90B22 68M20 PDFBibTeX XMLCite \textit{K. Ramanan} and \textit{M. I. Reiman}, Ann. Appl. Probab. 18, No. 1, 22--58 (2008; Zbl 1144.60056) Full Text: DOI arXiv
Kruk, Lukasz; Lehoczky, John; Ramanan, Kavita; Shreve, Steven An explicit formula for the Skorokhod map on \([0,a]\). (English) Zbl 1139.60017 Ann. Probab. 35, No. 5, 1740-1768 (2007). Reviewer: Yimin Xiao (East Lansing) MSC: 60G15 60G17 60J60 90B05 90B22 PDFBibTeX XMLCite \textit{L. Kruk} et al., Ann. Probab. 35, No. 5, 1740--1768 (2007; Zbl 1139.60017) Full Text: DOI arXiv
Luen, Brad; Ramanan, Kavita; Ziedins, Ilze Nonmonotonicity of phase transitions in a loss network with controls. (English) Zbl 1120.60094 Ann. Appl. Probab. 16, No. 3, 1528-1562 (2006). Reviewer: Alexander V. Bulinskij (Moskva) MSC: 60K35 60G60 93E03 PDFBibTeX XMLCite \textit{B. Luen} et al., Ann. Appl. Probab. 16, No. 3, 1528--1562 (2006; Zbl 1120.60094) Full Text: DOI arXiv
Ramanan, Kavita Reflected diffusions defined via the extended Skorokhod map. (English) Zbl 1111.60043 Electron. J. Probab. 11, Paper No. 36, 934-992 (2006). MSC: 60H10 60G07 60J05 60G17 60K35 PDFBibTeX XMLCite \textit{K. Ramanan}, Electron. J. Probab. 11, Paper No. 36, 934--992 (2006; Zbl 1111.60043) Full Text: DOI arXiv EuDML
Andrews, Matthew; Kumaran, Krishnan; Ramanan, Kavita; Stolyar, Alexander; Vijayakumar, Rajiv; Whiting, Phil Scheduling in a queuing system with asynchronously varying service rates. (English) Zbl 1151.90355 Probab. Eng. Inf. Sci. 18, No. 2, 191-217 (2004). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{M. Andrews} et al., Probab. Eng. Inf. Sci. 18, No. 2, 191--217 (2004; Zbl 1151.90355) Full Text: DOI
Ramanan, Kavita; Reiman, Martin I. Fluid and heavy traffic diffusion limits for a generalized processor sharing model. (English) Zbl 1016.60083 Ann. Appl. Probab. 13, No. 1, 100-139 (2003). Reviewer: O.K.Zakusilo (Kyïv) MSC: 60K25 60F05 90B22 PDFBibTeX XMLCite \textit{K. Ramanan} and \textit{M. I. Reiman}, Ann. Appl. Probab. 13, No. 1, 100--139 (2003; Zbl 1016.60083) Full Text: DOI Link
Dupuis, Paul; Ramanan, Kavita A time-reversed representation for the tail probabilities of stationary reflected Brownian motion. (English) Zbl 1059.60030 Stochastic Processes Appl. 98, No. 2, 253-287 (2002). MSC: 60F10 60J65 49L99 PDFBibTeX XMLCite \textit{P. Dupuis} and \textit{K. Ramanan}, Stochastic Processes Appl. 98, No. 2, 253--287 (2002; Zbl 1059.60030) Full Text: DOI
Ramanan, Kavita; Sengupta, Anirvan; Ziedins, Ilze; Mitra, Partha Markov random field models of multicasting in tree networks. (English) Zbl 1004.60051 Adv. Appl. Probab. 34, No. 1, 58-84 (2002). Reviewer: Andrew Olenko (Kyïv) MSC: 60G60 90B15 68M20 60K35 PDFBibTeX XMLCite \textit{K. Ramanan} et al., Adv. Appl. Probab. 34, No. 1, 58--84 (2002; Zbl 1004.60051) Full Text: DOI
Stolyar, Alexander L.; Ramanan, Kavita Largest weighted delay first scheduling: Large deviations and optimality. (English) Zbl 1024.60012 Ann. Appl. Probab. 11, No. 1, 1-48 (2001). Reviewer: Anatoli Mogulskij (Novosibirsk) MSC: 60F10 60K25 90B36 PDFBibTeX XMLCite \textit{A. L. Stolyar} and \textit{K. Ramanan}, Ann. Appl. Probab. 11, No. 1, 1--48 (2001; Zbl 1024.60012) Full Text: DOI
Dupuis, P.; Ramanan, K. An explicit formula for the solution of certain optimal control problems on domains with corners. (English) Zbl 0990.60043 Theory Probab. Math. Stat. 63, 33-49 (2001) and Teor. Jmovirn. Mat. Stat. 63, 32-48 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G35 PDFBibTeX XMLCite \textit{P. Dupuis} and \textit{K. Ramanan}, Teor. Ĭmovirn. Mat. Stat. 63, 32--48 (2000; Zbl 0990.60043)
Dupuis, Paul; Ramanan, Kavita A multiclass feedback queueing network with a regular Skorokhod problem. (English) Zbl 0970.60026 Queueing Syst. 36, No. 4, 327-349 (2000). MSC: 60F10 60K25 90B22 90B18 PDFBibTeX XMLCite \textit{P. Dupuis} and \textit{K. Ramanan}, Queueing Syst. 36, No. 4, 327--349 (2000; Zbl 0970.60026) Full Text: DOI
Ramanan, Kavita; Zeitouni, Ofer The quasi-stationary distribution for small random perturbations of certain one-dimensional maps. (English) Zbl 0997.60074 Stochastic Processes Appl. 84, No. 1, 25-51 (1999). MSC: 60J10 37D20 PDFBibTeX XMLCite \textit{K. Ramanan} and \textit{O. Zeitouni}, Stochastic Processes Appl. 84, No. 1, 25--51 (1999; Zbl 0997.60074) Full Text: DOI
Dupuis, Paul; Ramanan, Kavita Convex duality and the Skorokhod problem. II. (English) Zbl 0944.60062 Probab. Theory Relat. Fields 115, No. 2, 197-236 (1999). Reviewer: Sergej V.Rogozin (Minsk) MSC: 60G99 34A60 52B11 60K25 PDFBibTeX XMLCite \textit{P. Dupuis} and \textit{K. Ramanan}, Probab. Theory Relat. Fields 115, No. 2, 197--236 (1999; Zbl 0944.60062) Full Text: DOI
Dupuis, Paul; Ramanan, Kavita Convex duality and the Skorokhod problem. I. (English) Zbl 0944.60061 Probab. Theory Relat. Fields 115, No. 2, 153-195 (1999). Reviewer: Sergej V.Rogozin (Minsk) MSC: 60G99 34A60 52B11 60K25 PDFBibTeX XMLCite \textit{P. Dupuis} and \textit{K. Ramanan}, Probab. Theory Relat. Fields 115, No. 2, 153--195 (1999; Zbl 0944.60061) Full Text: DOI
Ramanan, Kavita; Dupuis, Paul Large deviation properties of data streams that share a buffer. (English) Zbl 0939.60020 Ann. Appl. Probab. 8, No. 4, 1070-1129 (1998). Reviewer: V.Thangaraj (Madras) MSC: 60F10 90B15 PDFBibTeX XMLCite \textit{K. Ramanan} and \textit{P. Dupuis}, Ann. Appl. Probab. 8, No. 4, 1070--1129 (1998; Zbl 0939.60020) Full Text: DOI
Dupuis, Paul; Ramanan, Kavita A Skorokhod problem formulation and large deviation analysis of a processor sharing model. (English) Zbl 0909.90144 Queueing Syst. 28, No. 1-3, 109-124 (1998). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{P. Dupuis} and \textit{K. Ramanan}, Queueing Syst. 28, No. 1--3, 109--124 (1998; Zbl 0909.90144) Full Text: DOI