Ruth Williams

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All published works

Action	Title	Year	Authors
+ PDF Chat	Analysis of Singularly Perturbed Stochastic Chemical Reaction Networks Motivated by Applications to Epigenetic Cell Memory	2024	Simone Bruno Felipe A. Campos Yi Fu Domitilla Del Vecchio Ruth Williams
+ PDF Chat	Comparison Theorems for Stochastic Chemical Reaction Networks	2023	Felipe A. Campos Simone Bruno Yi Fu Domitilla Del Vecchio Ruth Williams
+	Asymptotic behavior of a critical fluid model for bandwidth sharing with general file size distributions	2022	Yingjia Fu Ruth Williams
+ PDF Chat	Limit theorems and ergodicity for general bootstrap random walks	2022	Andrea Collevecchio Kaïs Hamza Meng Shi Ruth Williams
+	General boostrap random walks	2020	Andrea Collevecchio Kaïs Hamza Meng Shi Ruth Williams
+	A chatbot architecture for promoting youth resilience	2020	Chester Holt‐Quick Jim Warren Karolina Stasiak Ruth Williams Grant Christie Sarah Hetrick Sarah Hopkins Tania Cargo Sally Engle Merry
+ PDF Chat	Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy	2019	Justin Mulvany Amber L. Puha Ruth Williams
+ PDF Chat	A constrained Langevin approximation for chemical reaction networks	2019	Saul C. Leite Ruth Williams
+ PDF Chat	Asymptotic Behavior of a Critical Fluid Model for a Processor Sharing Queue via Relative Entropy	2016	Amber L. Puha Ruth Williams
+	HAVING EXPONENTIAL STATIONARY DISTRIBUTIONS	2016	J. Michael Harrison Ruth Williams
+	Stochastic Differential Equations	2013	Kai Lai Chung Ruth Williams
+	Applications of the Ito Formula	2013	Kai Lai Chung Ruth Williams
+	Generalized Ito Formula, Change of Time and Measure	2013	Kai Lai Chung Ruth Williams
+	Extension of the Predictable Integrands	2013	Kai Lai Chung Ruth Williams
+	Quadratic Variation Process	2013	Kai Lai Chung Ruth Williams
+	Diffusion Approximation for an Input-queued Switch Operating under a Maximum Weight Matching Policy	2012	W. N. Kang Ruth Williams
+	Heavy traffic on a controlled motorway	2010	F. P. Kelly Ruth Williams
+ PDF Chat	On Existence and Uniqueness of Stationary Distributions for Stochastic Delay Differential Equations with Positivity Constraints	2010	Michael Kinnally Ruth Williams
+ PDF Chat	State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy	2009	W. N. Kang F. P. Kelly N. H. Lee Ruth Williams
+ PDF Chat	Fluid limits for networks with bandwidth sharing and general document size distributions	2009	H. Christian Gromoll Ruth Williams
+	Stopped Feynman-Kac functionals and the Schrödinger equation by Ruth Williams	2008	Ruth Williams
+ PDF Chat	Homotopy methods for counting reaction network equilibria	2008	Gheorghe Crăciun J. William Helton Ruth Williams
+ PDF Chat	HJB equations for certain singularly controlled diffusions	2007	Rami Atar Amarjit Budhiraja Ruth Williams
+ PDF Chat	An invariance principle for semimartingale reflecting Brownian motions in domains with piecewise smooth boundaries	2007	W. N. Kang Ruth Williams
+	Homotopy methods for counting reaction network equilibria	2007	Gheorghe Crăciun J. William Helton Ruth Williams
+ PDF Chat	HJB equations for certain singularly controlled diffusions	2007	Rami Atar Amarjit Budhiraja Ruth Williams
+	Some properties of a simple stochastic epidemic model of SIR type	2006	Henry C. Tuckwell Ruth Williams
+	Conditional expectation and 𝐿^{𝑝}-spaces	2006	Ruth Williams
+ PDF Chat	Workload reduction of a generalized Brownian network	2005	J. Michael Harrison Ruth Williams
+ PDF Chat	Fluid model for a network operating under a fair bandwidth-sharing policy	2004	F. P. Kelly Ruth Williams
+	Invariant states and rates of convergence for a critical fluid model of a processor sharing queue - eScholarship	2004	Amber L. Puha Ruth Williams
+ PDF Chat	Invariant states and rates of convergence for a critical fluid model of a processor sharing queue	2004	Amber L. Puha Ruth Williams
+ PDF Chat	The fluid limit of a heavily loaded processor sharing queue	2002	H. Christian Gromoll Amber L. Puha Ruth Williams
+	Partially Observable SDE Models for Image Sequence Recognition Tasks	2000	Javier R. Movellan Paul Mineiro Ruth Williams
+	On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions	1999	Z.-Q. Chen Ruth Williams Zhengyang Zhao
+	Transition operators of diffusions reduce zero-crossing	1998	Steven N. Evans Ruth Williams
+	Some Recent Developments for Queueing Networks	1998	Ruth Williams
+	Transition operators of diffusions reduce zero-crossing	1998	Steven N. Evans Ruth Williams
+	None	1998	Ruth Williams
+	On the approximation of queueing networks in heavy traffic	1996	Ruth Williams
+ PDF Chat	A multiclass closed queueing network with unconventional heavy traffic behavior	1996	J. Michael Harrison Ruth Williams
+	Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons	1996	J. G. Dai Ruth Williams
+ PDF Chat	On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions	1995	Z. Q. Chen Ruth Williams Zhengyang Zhao
+	Semimartingale Reflecting Brownian Motions in the Orthant	1995	Ruth Williams
+ PDF Chat	Lyapunov Functions for Semimartingale Reflecting Brownian Motions	1994	Paul Dupuis Ruth Williams
+	On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions	1994	Z. Q. Chen Ruth Williams Zhengyang Zhao
+	Reflecting Brownian motions: Quasimartingales and strong Caccioppoli sets	1993	Z. Q. Chen P. J. Fitzsimmons Ruth Williams
+ PDF Chat	Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant	1993	Libby Taylor Ruth Williams
+	Reflected Brownian Motion: Hunt Processes and Semimartingale Representation	1993	Ruth Williams
+ PDF Chat	Book Review: Stochastic integration and differential equations—a new approach	1991	Ruth Williams
+	Seminar on Stochastic Processes, 1990	1991	Erhan Çınlar P. J. Fitzsimmons Ruth Williams
+ PDF Chat	Reflected Brownian motion in a cone with radially homogeneous reflection field	1991	Youngmee Kwon Ruth Williams
+	Reflected Brownian Motions	1990	Kai Lai Chung Ruth Williams
+	Brownian models of closed queueing networks with homogeneous customer populations	1990	J. Michael Harrison Ruth Williams H. Chen
+ PDF Chat	Correction to: A boundary property of semimartingale reflecting brownian motions	1989	Martin I. Reiman Ruth Williams
+ PDF Chat	On Brownian Excursions in Lipschitz Domains Part II. Local Asymptotic Distributions	1989	Krzysztof Burdzy Ellen H. Toby Ruth Williams
+ PDF Chat	Brownian models of open queueing networks with homogeneous customer populations<sup>∗</sup>	1987	J. Michael Harrison Ruth Williams
+ PDF Chat	Reflected Brownian motion with skew symmetric data in a polyhedral domain	1987	Ruth Williams
+ PDF Chat	Local Time and Excursions of Reflected Brownian Motion in a Wedge	1987	Ruth Williams
+ PDF Chat	Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions	1987	J. Michael Harrison Ruth Williams
+	On Brownian Excursions in Lipschitz Domains. Part I. Local Path Properties	1986	Krzysztof Burdzy Ruth Williams
+ PDF Chat	On Brownian excursions in Lipschitz domains. I. Local path properties	1986	Krzysztof Burdzy Ruth Williams
+	Some positive eigenfunctions for elliptic operators with oblique derivative boundary conditions and consequences for the stationary densities of reflected Brownian motions	1986	Ruth Williams
+ PDF Chat	Recurrence Classification and Invariant Measure for Reflected Brownian Motion in a Wedge	1985	Ruth Williams
+	Brownian motion in a wedge with oblique reflection	1985	S. R. S. Varadhan Ruth Williams
+ PDF Chat	Reflected brownian motion in a wedge: Semimartingale property	1985	Ruth Williams
+ PDF Chat	Brownian motion with polar drift	1985	Ruth Williams
+	Brownian motion in a wedge with oblique reflection at the boundary	1983	Ruth Williams

Common Coauthors

Coauthor	Papers Together
Kai Lai Chung	6
J. Michael Harrison	6
Amber L. Puha	5
Krzysztof Burdzy	3
Zhengyang Zhao	3
F. P. Kelly	3
W. N. Kang	3
Domitilla Del Vecchio	2
J. William Helton	2
H. Christian Gromoll	2
Kaïs Hamza	2
Rami Atar	2
Andrea Collevecchio	2
Meng Shi	2
P. J. Fitzsimmons	2
Z. Q. Chen	2
Amarjit Budhiraja	2
Gheorghe Crăciun	2
Steven N. Evans	2
Youngmee Kwon	1
Sarah Hopkins	1
Grant Christie	1
Simone Bruno	1
Saul C. Leite	1
N. H. Lee	1
Felipe A. Campos	1
Yingjia Fu	1
Sarah Hetrick	1
H. Chen	1
Michael Kinnally	1
Yi Fu	1
S. R. S. Varadhan	1
Jim Warren	1
Simone Bruno	1
Erhan Çınlar	1
Sally Engle Merry	1
Yi Fu	1
Z. Q. Chen	1
Paul Mineiro	1
Javier R. Movellan	1
Paul Dupuis	1
Tania Cargo	1
Libby Taylor	1
Ellen H. Toby	1
Z.-Q. Chen	1
Karolina Stasiak	1
Chester Holt‐Quick	1
Martin I. Reiman	1
Felipe A. Campos	1
Henry C. Tuckwell	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Markov Processes: Characterization and Convergence.	1987	Andris Abakuks S. N. Ethier Thomas G. Kurtz	14
+ PDF Chat	Reflected Brownian Motion on an Orthant	1981	J. Michael Harrison Martin I. Reiman	13
+	Open Queueing Networks in Heavy Traffic	1984	Martin I. Reiman	11
+	Brownian motion in a wedge with oblique reflection	1985	S. R. S. Varadhan Ruth Williams	9
+	Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons	1996	J. G. Dai Ruth Williams	8
+	None	1998	Ruth Williams	8
+	Diffusion processes with boundary conditions	1971	Daniel W. Stroock S. R. S. Varadhan	7
+ PDF Chat	Reflected Brownian motion with skew symmetric data in a polyhedral domain	1987	Ruth Williams	7
+ PDF Chat	Convergence of Probability Measures	1999	Patrick Billingsley	7
+ PDF Chat	Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant	1993	Libby Taylor Ruth Williams	6
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	6
+ PDF Chat	Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions	1987	J. Michael Harrison Ruth Williams	6
+ PDF Chat	Brownian models of open queueing networks with homogeneous customer populations<sup>∗</sup>	1987	J. Michael Harrison Ruth Williams	5
+ PDF Chat	Recurrence Classification and Invariant Measure for Reflected Brownian Motion in a Wedge	1985	Ruth Williams	5
+	Stochastic differential equations with reflecting boundary conditions	1984	Pierre‐Louis Lions Alain‐Sol Sznitman	5
+	Convergence of Random Processes and Limit Theorems in Probability Theory	1956	Yu. V. Prokhorov	5
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg	5
+ PDF Chat	Uniqueness for diffusions with piecewise constant coefficients	1987	Richard F. Bass Étienne Pardoux	4
+ PDF Chat	The fluid limit of a heavily loaded processor sharing queue	2002	H. Christian Gromoll Amber L. Puha Ruth Williams	4
+ PDF Chat	An invariance principle for semimartingale reflecting Brownian motions in domains with piecewise smooth boundaries	2007	W. N. Kang Ruth Williams	4
+	Convergence of Probability Measures	1969	J. F. C. Kingmán P. Billingsley	4
+	On lipschitz continuity of the solution mapping to the skorokhod problem, with applications	1991	Paul Dupuis Hitoshi Ishii	4
+ PDF Chat	Invariant states and rates of convergence for a critical fluid model of a processor sharing queue	2004	Amber L. Puha Ruth Williams	4
+	Multidimensional Diffusion Processes	1997	Daniel W. Stroock S. R. Srinivasa Varadhan	4
+	Regulations dÉterminates et stochastiques dans le premier “orthant” de R<sup>N</sup>	1991	Alain Bernard Ahmed El Kharroubi	4
+ PDF Chat	Mesures associées aux fonctionnelles additives de Markov. I	1970	Daniel Revuz	3
+ PDF Chat	Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations	1991	Thomas G. Kurtz Philip Protter	3
+	An Introduction to Convex Polytopes	1983	Arne Brøndsted	3
+	MULTI-DIMENSIONAL DIFFUSION PROCESSES	1980	J. F. C. Kingmán	3
+	Diffusions, Markov processes, and martingales	1979	L. C. G. Rogers David Williams	3
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	3
+	Stochastic differential equations with reflecting boundary condition in convex regions	1979	Hiroshi Tanaka	3
+	Limit Theorems for Stochastic Processes	1956	A. V. Skorokhod	3
+ PDF Chat	Diffusion approximation for a processor sharing queue in heavy traffic	2004	H. Christian Gromoll	3
+ PDF Chat	Reflected Brownian motion in a cone with radially homogeneous reflection field	1991	Youngmee Kwon Ruth Williams	3
+ PDF Chat	Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks	1991	Hong Chen Avi Mandelbaum	3
+	Diffusion Processes and Their Sample Paths.	1996	PALE Kiyosi Itô H. P. McKean	3
+ PDF Chat	Fluid model for a network operating under a fair bandwidth-sharing policy	2004	F. P. Kelly Ruth Williams	3
+	Brownian motion in a wedge with oblique reflection at the boundary	1983	Ruth Williams	3
+	Linear operators leaving invariant a cone in a Banach space	1950	M. Г. Крейн M. A. Rutman	3
+	On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions	1994	Z. Q. Chen Ruth Williams Zhengyang Zhao	2
+	The theory of functions of real variables	1956	Lawrence M. Graves	2
+	None	1997	Hong Chen Offer Kella Gideon Weiss	2
+ PDF Chat	Lyapunov Functions for Semimartingale Reflecting Brownian Motions	1994	Paul Dupuis Ruth Williams	2
+	On the existence of positive solutions of nonlinear elliptic equations—a probabilistic potential theory approach	1993	Zhengyang Zhao	2
+ PDF Chat	Reflected brownian motion in a wedge: Semimartingale property	1985	Ruth Williams	2
+	A multiclass feedback queue in heavy traffic	1988	Martin I. Reiman	2
+	Brownian Excursions and Minimal Thinness Part II Applications to Boundary Behavior of the Green Function	1986	Krzysztof Burdzy	2
+	Brownian excursions and minimal thinness	1986	Krzysztof Burdzy	2
+	Open and Closed Models for Networks of Queues	1984	Ward Whitt	2