Ruth J. Williams | Academic Influence

Ruth J. Williams's AcademicInfluence.com Rankings

Ruth J. Williams

Mathematics

#1356

World Rank

#2255

Historical Rank

#563

USA Rank

Measure Theory

#2922

World Rank

#3470

Historical Rank

#844

USA Rank

mathematics Degrees

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Mathematics

Ruth J. Williams's Degrees

Bachelors Mathematics University of California, San Diego

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Why Is Ruth J. Williams Influential?

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According to Wikipedia, Ruth Jeannette Williams is an Australian-born American mathematician at the University of California, San Diego where she holds the Charles Lee Powell Chair as a Distinguished Professor of Mathematics. Her research concerns probability theory and stochastic processes.

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Ruth J. Williams's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Stabilization of stochastic nonlinear systems driven by noise of unknown covariance (1998) (794)
Brownian Models of Open Queueing Networks with Homogeneous Customer Populations (1987) (321)
Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998) (243)
Multidimensional Reflected Brownian Motions Having Exponential Stationary Distributions (1987) (217)
Brownian motion in a wedge with oblique reflection at the boundary (1985) (213)
Queueing up for enzymatic processing: correlated signaling through coupled degradation (2011) (183)
Lyapunov Functions for Semimartingale Reflecting Brownian Motions (1994) (174)
A boundary property of semimartingale reflecting Brownian motions (1988) (153)
Semimartingale reflecting Brownian motions in the orthant (1995) (130)
Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons (1996) (123)
An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998) (98)
Forecasting emergency department presentations. (2007) (95)
Reflected Brownian motion with skew symmetric data in a polyhedral domain (1987) (90)
Dynamic Scheduling of a Parallel Server System in Heavy Traffic with Complete Resource Pooling: Asymptotic Optimality of a Threshold Policy (2005) (88)
Some properties of a simple stochastic epidemic model of SIR type (2006) (85)
THE FLUID LIMIT OF A HEAVILY LOADED PROCESSOR SHARING QUEUE (2002) (82)
Brownian Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions (1992) (77)
Introduction to the mathematics of finance (2006) (66)
Translational cross talk in gene networks. (2013) (63)
Recurrence Classification and Invariant Measure for Reflected Brownian Motion in a Wedge (1985) (63)
Correlation resonance generated by coupled enzymatic processing. (2010) (57)
Reflected brownian motion in a wedge: Semimartingale property (1985) (55)
Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions (1986) (54)
Fluid limits for networks with bandwidth sharing and general document size distributions. (2009) (54)
Homotopy methods for counting reaction network equilibria. (2007) (46)
On the Quasireversibility of a Multiclass Brownian Service Station (1990) (41)
Two Workload Properties for Brownian Networks (2003) (35)
Symmetric reflected diffusions (1994) (34)
A multiclass closed queueing network with unconventional heavy traffic behavior (1996) (32)
A Monte Carlo EM Approach for Partially Observable Diffusion Processes: Theory and Applications to Neural Networks (2002) (32)
On Existence and Uniqueness of Stationary Distributions for Stochastic Delay Differential Equations with Positivity Constraints (2010) (31)
On reflecting brownian motion — a weak convergence approach (1990) (30)
Reflecting Brownian motions: Quasimartingales and strong Caccioppoli sets (1993) (29)
Reflected Brownian motion in a cone with radially homogeneous reflection field (1991) (28)
Fluid and Brownian approximations for an Internet congestion control model (2004) (27)
A constrained Langevin approximation for chemical reaction networks (2019) (27)
Diffusion approximation for an input-queued switch operating under a maximum weight matching policy (2012) (26)
Stochastic Processing Networks (2016) (26)
Fluid model for a data network with alpha-fair bandwidth sharing and general document size distributions : two examples of stability (2008) (25)
The Fluid Limit of an Overloaded Processor Sharing Queue (2006) (25)
Invariant states and rates of convergence for a critical fluid model of a processor sharing queue (2004) (24)
On dynamic scheduling of stochastic networks in heavy traffic and some new results for the workload process (2000) (24)
A Sobolev Inequality and Neumann Heat Kernel Estimate for Unbounded Domains (1994) (23)
Assessing the impact of streaming in a regional emergency department (2008) (23)
Factorized time-dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks (2011) (22)
On Constrained Langevin Equations and (Bio)Chemical Reaction Networks (2019) (17)
Local time and excursions of reflected Brownian motion in a wedge (1987) (15)
ON THE EXISTENCE AND APPLICATION OF CONTINUOUS TIME THRESHOLD AUTOREGRESSIONS OF ORDER TWO (1997) (15)
Diffusion approximation for a heavily loaded multi-user wireless communication system with cooperation (2009) (15)
Brownian models of open queueing networks (1987) (12)
On the Performance of a Two-User MIMO Downlink System in Heavy Traffic (2007) (11)
Existence, Uniqueness, and Stability of Slowly Oscillating Periodic Solutions for Delay Differential Equations with Nonnegativity Constraints (2015) (11)
On Brownian Excursions in Lipschitz Domains Part II. Local Asymptotic Distributions (1989) (11)
Brownian motion with polar drift (1985) (10)
Some Recent Developments for Queueing Networks (1998) (10)
Product form stationary distributions for diffusion approximations to a flow-level model operating under a proportional fair sharing policy (2007) (10)
HJB equations for certain singularly controlled diffusions (2007) (10)
Criticality and Adaptivity in Enzymatic Networks. (2016) (9)
Workload Interpretation for Brownian Models of Stochastic Processing Networks (2007) (9)
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 (2016) (8)
On Brownian Excursions in Lipschitz Domains. Part I. Local Path Properties (1986) (7)
Learning Path Distributions Using Nonequilibrium Diffusion Networks (1997) (7)
Partially Observable SDE Models for Image Sequence Recognition Tasks (2000) (6)
Correction to: A boundary property of semimartingale reflecting brownian motions (1989) (6)
Asymptotic Behavior of a Critical Fluid Model for a Processor Sharing Queue via Relative Entropy (2016) (5)
Seminar on Stochastic Processes, 1989 (1990) (5)
On Time-Reversal of Reflected Brownian Motions (1988) (5)
On Brownian excursions in Lipschitz domains. I. Local path properties (1986) (4)
Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy (2019) (3)
A Feynman-Kac gauge for solvability of the Schrödinger equation (1985) (3)
Reflected Brownian Motions (1983) (2)
Stability of a Subcritical Fluid Model for Fair Bandwidth Sharing with General File Size Distributions (2020) (2)
Transition operators of diffusions reduce zero-crossing (1998) (2)
Selected Works of Kai Lai Chung (2008) (2)
Asymptotic behavior of a critical fluid model for bandwidth sharing with general file size distributions (2022) (2)
Correlation resonance generated by coupled enzymatic processing : Supplementary information (2010) (1)
Generalized Ito Formula, Change of Time and Measure (2014) (1)
HAVING EXPONENTIAL STATIONARY DISTRIBUTIONS (2016) (1)
STOCHASTIC MODELS OF COMPLEX NETWORKS (2008) (1)
Author ' s personal copy Homotopy methods for counting reaction network equilibria (2008) (0)
Black-Scholes model (2006) (0)
Fire Severity Mapping (2009) (0)
Applications of the Ito Formula (1983) (0)
Continuous time stochastic processes (2006) (0)
Stopped Feynman-Kac functionals and the Schrödinger equation by Ruth Williams (2008) (0)
Finite market model (2006) (0)
A Fluid Model of a Traffic Network with Information Feedback and Onramp Controls (2021) (0)
The Ito Formula (1983) (0)
Limits and control of stochastic reaction networks (2021) (0)
Quadratic Variation Process (1983) (0)
Some positive eigenfunctions for elliptic operators with oblique derivative boundary conditions and consequences for the stationary densities of reflected Brownian motions (1986) (0)
Financial markets and derivatives (2006) (0)
Local Time and Tanaka’s Formula (1983) (0)
Multi-dimensional Black-Scholes model (2006) (0)
Discrete time stochastic processes (2006) (0)
Brownian motion and stochastic integration (2006) (0)

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