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Ruth J. Williams - Publications

Affiliations: 
University of California, San Diego, La Jolla, CA 
Area:
Mathematics
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42 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Anderson DF, Higham DJ, Leite SC, Williams RJ. On Constrained Langevin Equations and (Bio)Chemical Reaction Networks Multiscale Modeling & Simulation. 17: 1-30. DOI: 10.1137/18M1190999  0.307
2019 Mulvany JA, Puha AL, Williams RJ. Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy Queueing Systems. 93: 351-397. DOI: 10.1007/S11134-019-09629-8  0.383
2016 Steiner PJ, Williams RJ, Hasty J, Tsimring LS. Criticality and Adaptivity in Enzymatic Networks. Biophysical Journal. 111: 1078-87. PMID 27602735 DOI: 10.1016/J.Bpj.2016.07.036  0.311
2015 Lipshutz D, Williams RJ. Existence, uniqueness, and stability of slowly oscillating periodic solutions for delay differential equations with nonnegativity constraints Siam Journal On Mathematical Analysis. 47: 4467-4535. DOI: 10.1137/140980806  0.724
2011 Cookson NA, Mather WH, Danino T, Mondragón-Palomino O, Williams RJ, Tsimring LS, Hasty J. Queueing up for enzymatic processing: correlated signaling through coupled degradation. Molecular Systems Biology. 7: 561. PMID 22186735 DOI: 10.1038/Msb.2011.94  0.311
2011 Mather WH, Hasty J, Tsimring LS, Williams RJ. Factorized time-dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks Queueing Systems. 69: 313-328. DOI: 10.1007/S11134-011-9216-3  0.331
2010 Kinnally MS, Williams RJ. On Existence and Uniqueness of Stationary Distributions for Stochastic Delay Differential Equations with Positivity Constraints Electronic Journal of Probability. 15: 409-451. DOI: 10.1214/Ejp.V15-756  0.659
2009 Kang WN, Kelly FP, Lee NH, Williams RJ. State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy Annals of Applied Probability. 19: 1719-1780. DOI: 10.1214/08-Aap591  0.394
2009 Gromoll HC, Williams RJ. Fluid limits for networks with bandwidth sharing and general document size distributions. Annals of Applied Probability. 19: 243-280. DOI: 10.1214/08-Aap541  0.372
2009 Bhardwaj S, Williams RJ. Diffusion approximation for a heavily loaded multi-user wireless communication system with cooperation Queueing Systems. 62: 345-382. DOI: 10.1007/S11134-009-9119-8  0.553
2008 Craciun G, Helton JW, Williams RJ. Homotopy methods for counting reaction network equilibria. Mathematical Biosciences. 216: 140-9. PMID 18824179 DOI: 10.1016/J.Mbs.2008.09.001  0.301
2007 Kang W, Williams RJ. An invariance principle for semimartingale reflecting Brownian motions in domains with piecewise smooth boundaries. Annals of Applied Probability. 17: 741-779. DOI: 10.1214/105051606000000899  0.516
2007 Atar R, Budhiraja A, Williams RJ. HJB equations for certain singularly controlled diffusions Annals of Applied Probability. 17: 1745-1776. DOI: 10.1214/07-Aap443  0.314
2006 Puha AL, Stolyar AL, Williams RJ. The fluid limit of an overloaded processor sharing queue Mathematics of Operations Research. 31: 316-350. DOI: 10.1287/Moor.1050.0181  0.35
2005 Bell SL, Williams RJ. Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy Electronic Journal of Probability. 10: 1044-1115. DOI: 10.1214/Ejp.V10-281  0.564
2005 Bell SL, Williams RJ. Dynamic scheduling of a parallel server system in heavy traffic with complete resource pooling: Asymptotic optimality of a threshold policy Electronic Journal of Probability. 10.  0.5
2004 Kelly FP, Williams RJ. Fluid model for a network operating under a fair bandwidth-sharing policy Annals of Applied Probability. 14: 1055-1083. DOI: 10.1214/105051604000000224  0.356
2004 Puha AL, Williams RJ. Invariant states and rates of convergence for a critical fluid model of a processor sharing queue Annals of Applied Probability. 14: 517-554. DOI: 10.1214/105051604000000017  0.388
2003 Bramson M, Williams RJ. Two Workload Properties for Brownian Networks Queueing Systems. 45: 191-221. DOI: 10.1023/A:1027372517452  0.349
2002 Gromoll HC, Puha AL, Williams RJ. The fluid limit of a heavily loaded processor sharing queue Annals of Applied Probability. 12: 797-859. DOI: 10.1214/Aoap/1031863171  0.71
2001 Bell SL, Williams RJ. Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: Asymptotic optimality of a threshold policy Annals of Applied Probability. 11: 608-649. DOI: 10.1214/Aoap/1015345343  0.544
2001 Deng H, Krstic M, Williams RJ. Stabilization of stochastic nonlinear systems driven by noise of unknown covariance Ieee Transactions On Automatic Control. 46: 1237-1253. DOI: 10.1109/9.940927  0.355
1999 Evans SN, Williams RJ. Transition operators of diffusions reduce zero-crossing Transactions of the American Mathematical Society. 351: 1377-1389. DOI: 10.1090/S0002-9947-99-02341-7  0.333
1999 Chen Z-, Williams RJ, Zhao Z. On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions Mathematische Annalen. 315: 735-769. DOI: 10.1007/S002080050334  0.361
1998 Williams RJ. An invariance principle for semimartingale reflecting Brownian motions in an orthant Queueing Systems. 30: 5-25. DOI: 10.1023/A:1019156702875  0.391
1998 Williams RJ. Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse Queueing Systems. 30: 27-88. DOI: 10.1023/A:1019108819713  0.345
1997 Brockwell PJ, Williams RJ. On The Existence And Application Of Continuous Time Threshold Autoregressions Of Order Two Advances in Applied Probability. 29: 205-227. DOI: 10.2307/1427867  0.423
1996 Menshikov M, Williams RJ. Passage-time moments for continuous non-negative stochastic processes and applications Advances in Applied Probability. 28: 747-762. DOI: 10.2307/1428179  0.346
1996 Dai JG, Williams RJ. Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons Theory of Probability and Its Applications. 40: 1-40. DOI: 10.1137/1140001  0.347
1995 Chen ZQ, Williams RJ, Zhao Z. On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions Probability Theory and Related Fields. 101: 251-276. DOI: 10.1007/Bf01375828  0.362
1994 Chen ZQ, Williams RJ, Zhao Z. On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions Mathematische Annalen. 298: 543-556. DOI: 10.1007/Bf01459750  0.339
1993 Taylor LM, Williams RJ. Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant Probability Theory and Related Fields. 96: 283-317. DOI: 10.1007/Bf01292674  0.354
1992 Harrison JM, Williams RJ. Brownian Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions Annals of Applied Probability. 2: 263-293. DOI: 10.1214/Aoap/1177005704  0.308
1991 Kwon Y, Williams RJ. Reflected Brownian motion in a cone with radially homogeneous reflection field Transactions of the American Mathematical Society. 327: 739-780. DOI: 10.1090/S0002-9947-1991-1028760-9  0.347
1990 Harrison JM, Williams RJ. On the Quasireversibility of a Multiclass Brownian Service Station Annals of Probability. 18: 1249-1268. DOI: 10.1214/Aop/1176990745  0.32
1988 Reiman MI, Williams RJ. A boundary property of semimartingale reflecting Brownian motions Probability Theory and Related Fields. 77: 87-97. DOI: 10.1007/Bf01848132  0.319
1987 Harrison JM, Williams RJ. Brownian Models of Open Queueing Networks with Homogeneous Customer Populations Stochastics and Stochastics Reports. 22: 77-115. DOI: 10.1080/17442508708833469  0.358
1987 Harrison JM, Williams RJ. Brownian models of open queueing networks Stochastic Processes and Their Applications. 26: 221. DOI: 10.1016/0304-4149(87)90147-5  0.302
1987 Williams RJ. Reflected Brownian motion with skew symmetric data in a polyhedral domain Probability Theory and Related Fields. 75: 459-485. DOI: 10.1007/Bf00320328  0.346
1986 Trefethen LN, Williams RJ. Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions Journal of Computational and Applied Mathematics. 14: 227-249. DOI: 10.1016/0377-0427(86)90141-X  0.334
1985 Williams RJ. Reflected brownian motion in a wedge: Semimartingale property Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 69: 161-176. DOI: 10.1007/Bf02450279  0.326
1985 Varadhan SRS, Williams RJ. Brownian motion in a wedge with oblique reflection Communications On Pure and Applied Mathematics. 38: 405-443. DOI: 10.1002/Cpa.3160380405  0.342
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