Ruth J. Williams

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A Fluid Model of a Traffic Network with Information Feedback and Onramp Controls

Frank P. Kelly, J. William Helton, Ilze Ziedins, 2021 .

Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons

Ruth J. Williams, J. Dai, 1996 .

Lyapunov Functions for Semimartingale Reflecting Brownian Motions

Ruth J. Williams, P. Dupuis, 1994 .

Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions

Ruth J. Williams, J. Harrison, 1987 .

Brownian Models of Open Queueing Networks with Homogeneous Customer Populations

Ruth J. Williams, J. Harrison, 1987 .

Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant

R. J. Williams, Ruth J. Williams, L. Taylor, 1993 .

A boundary property of semimartingale reflecting Brownian motions

Ruth J. Williams, M. Reiman, 1988 .

A Monte Carlo EM Approach for Partially Observable Diffusion Processes: Theory and Applications to Neural Networks

Paul Mineiro, Javier R. Movellan, Ruth J. Williams, 2002, Neural Computation.

Workload Interpretation for Brownian Models of Stochastic Processing Networks

Ruth J. Williams, J. M. Harrison, Ruth J. Williams, 2007, Math. Oper. Res..

Reflected brownian motion in a wedge: Semimartingale property

Ruth J. Williams, 1985 .

Recurrence Classification and Invariant Measure for Reflected Brownian Motion in a Wedge

Ruth J. Williams, 1985 .

Brownian motion in a wedge with oblique reflection at the boundary

Ruth J. Williams, 1985 .

Asymptotic variance parameters for the boundary local times of reflected Brownian motion on a compact interval

Ruth J. Williams, 1992 .

Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions

Ruth J. Williams, L. Trefethen, 1986 .

Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy

S. L. Bell, Ruth J. Williams, 2005 .

Reflected Brownian motion with skew symmetric data in a polyhedral domain

Ruth J. Williams, 1987 .

Brownian models of open queueing networks

Ruth J. Williams, J. Harrison, 1987 .

On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions

R. J. Williams, Ruth J. Williams, Zhen-Qing Chen, 1995 .

Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse

Ruth J. Williams, Ruth J. Williams, 1998, Queueing Syst. Theory Appl..

A multiclass closed queueing network with unconventional heavy traffic behavior

Ruth J. Williams, J. Harrison, 1996 .

An invariance principle for semimartingale reflecting Brownian motions in an orthant

Ruth J. Williams, Ruth J. Williams, 1998, Queueing Syst. Theory Appl..

Diffusion approximation for an input-queued switch operating under a maximum weight matching policy

Ruth J. Williams, W. Kang, 2012 .

Semimartingale reflecting Brownian motions in the orthant

Ruth J. Williams, 1995 .

Queueing up for Enzymatic Processing: Correlated Signaling through Coupled Degradation

Ruth J. Williams, L. Tsimring, J. Hasty, 2022 .

Correlation resonance generated by coupled enzymatic processing.

Ruth J. Williams, L. Tsimring, J. Hasty, 2010, Biophysical journal.

Two Workload Properties for Brownian Networks

Maury Bramson, Ruth J. Williams, Ruth J. Williams, 2003, Queueing Syst. Theory Appl..

Fluid and Brownian approximations for an Internet congestion control model

N. H. Lee, Ruth J. Williams, F. Kelly, 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

THE FLUID LIMIT OF A HEAVILY LOADED PROCESSOR SHARING QUEUE

Amber L. Puha, Ruth J. Williams, H. C. Gromoll, 2002 .

Forecasting emergency department presentations.

Robert Champion, Ruth J. Williams, L. Kinsman, 2007, Australian health review : a publication of the Australian Hospital Association.

On Existence and Uniqueness of Stationary Distributions for Stochastic Delay Differential Equations with Positivity Constraints

Ruth J. Williams, M. S. Kinnally, 2010 .

Brownian Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions

J. M. Harrison, Ruth J. Williams, J. Harrison, 1992 .

A constrained Langevin approximation for chemical reaction networks

Saul C. Leite, Ruth J. Williams, S. C. Leite, 2019, The Annals of Applied Probability.

On the Quasireversibility of a Multiclass Brownian Service Station

J. M. Harrison, Ruth J. Williams, 1990 .

A Sobolev Inequality and Neumann Heat Kernel Estimate for Unbounded Domains

Zhen-Qing Chen, Ruth J. Williams, Zhen-Qing Chen, 1994 .

Fluid model for a data network with alpha-fair bandwidth sharing and general document size distributions : two examples of stability

Ruth J. Williams, H. C. Gromoll, 2008 .

HJB equations for certain singularly controlled diffusions

Amarjit Budhiraja, Rami Atar, Ruth J. Williams, 2007, 0711.0641.

Correction to: A boundary property of semimartingale reflecting brownian motions

M. I. Reiman, Ruth J. Williams, 1989 .

On reflecting brownian motion — a weak convergence approach

Weian Zheng, Ruth J. Williams, Weian Zheng, 1990 .

Introduction to the mathematics of finance

Ruth J. Williams, 2006 .

Invariant states and rates of convergence for a critical fluid model of a processor sharing queue

Amber L. Puha, Ruth J. Williams, 2004 .

On Time-Reversal of Reflected Brownian Motions

Ruth J. Williams, 1988 .

Homotopy methods for counting reaction network equilibria.

Gheorghe Craciun, Ruth J. Williams, J. Helton, 2007, Mathematical biosciences.

Asymptotic Behavior of a Critical Fluid Model for a Processor Sharing Queue via Relative Entropy

Amber L. Puha, Ruth J. Williams, 2016 .

Author ' s personal copy Homotopy methods for counting reaction network equilibria

Ruth J. Williams, J. Helton, G. Craciun, 2008 .

HAVING EXPONENTIAL STATIONARY DISTRIBUTIONS

Ruth J. Williams, J. Harrison, 2016 .

Stabilization of stochastic nonlinear systems driven by noise of unknown covariance

Ruth J. Williams, M. Krstić, H. Deng, 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

Invariant states and rates of convergence for a critical fluid model of a processor sharing queue

Amber L. Puha, Ruth J. Williams, 2004, math/0405289.

Some properties of a simple stochastic epidemic model of SIR type

Henry C Tuckwell, Ruth J. Williams, H. Tuckwell, 2006, Mathematical Biosciences.

Translational cross talk in gene networks.

Jeff Hasty, Lev S Tsimring, William H Mather, 2013, Biophysical journal.

Criticality and Adaptivity in Enzymatic Networks.

Jeff Hasty, Lev S Tsimring, Paul J. Steiner, 2016, Biophysical journal.

Transition operators of diffusions reduce zero-crossing

Ruth J. Williams, S. Evans, 1998, math/9801146.

Symmetric reflected diffusions

Ruth J. Williams, É. Pardoux, 1994 .

Stabilization of stochastic nonlinear systems driven by noise of unknown covariance

Ruth J. Williams, M. Krstić, H. Deng, 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

Asymptotic behavior of a critical fluid model for bandwidth sharing with general file size distributions

Ruth J. Williams, Yingjia Fu, 2022, The Annals of Applied Probability.

Stability of a Subcritical Fluid Model for Fair Bandwidth Sharing with General File Size Distributions

Ruth J. Williams, Yingjia Fu, Ruth J. Williams, 2020 .

Stochastic Processing Networks

Ruth J. Williams, Ruth J. Williams, 2016 .

Fluid limits for networks with bandwidth sharing and general document size distributions.

Ruth J. Williams, H. Christian Gromoll, Ruth J. Williams, 2009, 0903.0291.

Dynamic scheduling for parallel server systems in heavy traffic: Graphical structure, decoupled workload matrix and some sufficient conditions for solvability of the Brownian Control Problem

Ruth J. Williams, V. Pesic, Ruth J. Williams, 2016 .

Local time and excursions of reflected Brownian motion in a wedge

Ruth J. Williams, 1987 .

Diffusion approximation for a heavily loaded multi-user wireless communication system with cooperation

Ruth J. Williams, Sumit Bhardwaj, Ruth J. Williams, 2009, Queueing Syst. Theory Appl..

Assessing the impact of streaming in a regional emergency department

Robert Champion, Kevin Masman, Leigh Kinsman, 2008, Emergency medicine Australasia : EMA.

ON THE EXISTENCE AND APPLICATION OF CONTINUOUS TIME THRESHOLD AUTOREGRESSIONS OF ORDER TWO

Ruth J. Williams, P. Brockwell, 1997 .

On Constrained Langevin Equations and (Bio)Chemical Reaction Networks

Desmond J. Higham, Saul de Castro Leite, Ruth J. Williams, 2019, Multiscale Model. Simul..

Factorized time-dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks

Jeff Hasty, Ruth J. Williams, Lev S. Tsimring, 2011, Queueing Syst. Theory Appl..

Correlation resonance generated by coupled enzymatic processing : Supplementary information

Ruth J. Williams, L. Tsimring, J. Hasty, 2010 .

Some Recent Developments for Queueing Networks

Ruth J. Williams, Ruth J. Williams, 1998 .

On Brownian Excursions in Lipschitz Domains. Part I. Local Path Properties

Ruth J. Williams, K. Burdzy, 1986 .

A Feynman-Kac gauge for solvability of the Schrödinger equation

Ruth J. Williams, 1985 .

Partially Observable SDE Models for Image Sequence Recognition Tasks

Paul Mineiro, Javier R. Movellan, Ruth J. Williams, 2000, NIPS.

Queueing up for enzymatic processing: correlated signaling through coupled degradation

Ruth J. Williams, L. Tsimring, J. Hasty, 2011, Molecular systems biology.

Asymptotic variance parameters for the boundary local times of reflected Brownian motion on a compact interval

R. J. Williams, Ruth J. Williams, 1992, Journal of Applied Probability.

On Brownian excursions in Lipschitz domains. I. Local path properties

Ruth J. Williams, K. Burdzy, 1986 .

Existence, Uniqueness, and Stability of Slowly Oscillating Periodic Solutions for Delay Differential Equations with Nonnegativity Constraints

David Lipshutz, Ruth J. Williams, Ruth J. Williams, 2015, SIAM J. Math. Anal..

Passage-time moments for continuous non-negative stochastic processes and applications

R. J. Williams, Ruth J. Williams, M. Menshikov, 1996, Advances in Applied Probability.

Reflected Brownian motion in a cone with radially homogeneous reflection field

Ruth J. Williams, Y. Kwon, 1991 .

The Fluid Limit of an Overloaded Processor Sharing Queue

Alexander L. Stolyar, Ruth J. Williams, Amber L. Puha, 2006, Math. Oper. Res..

Criticality and Adaptivity in Enzymatic Networks.

Paul J. Steiner, Ruth J. Williams, L. Tsimring, 2016, Biophysical journal.

Continuous time stochastic processes

Ruth J. Williams, Ruth J. Williams, 2006 .

Reflecting Brownian motions: Quasimartingales and strong Caccioppoli sets

Ruth J. Williams, Zhen-Qing Chen, P. Fitzsimmons, 1993 .