Edward C. Waymire | Academic Influence

Edward C. Waymire's AcademicInfluence.com Rankings

Edward C. Waymire

Mathematics

#5487

World Rank

#7714

Historical Rank

#1797

USA Rank

Probability Theory

#112

World Rank

#138

Historical Rank

#19

USA Rank

Measure Theory

#2552

World Rank

#3060

Historical Rank

#726

USA Rank

mathematics Degrees

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Mathematics

Edward C. Waymire's Degrees

PhD Mathematics University of Washington
Masters Mathematics University of Washington
Bachelors Mathematics University of Washington

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Why Is Edward C. Waymire Influential?

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According to Wikipedia, Edward C. Waymire is an American mathematician, and professor of mathematics at Oregon State University. He was the chief editor of the Annals of Applied Probability between 2006 and 2008. From 2011 to 2013, he was president of the Bernoulli Society for Mathematical Statistics and Probability. He is the recipient of the 2014 Carver Medal from the Institute of Mathematical Statistics.

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Edward C. Waymire'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

Multiscaling properties of spatial rain-fall and river flow distributions (1990) (491)
A statistical analysis of mesoscale rainfall as a random cascade (1993) (488)
A representation of an instantaneous unit hydrograph from geomorphology (1980) (481)
Stochastic processes with applications (1990) (342)
A Spectral Theory of Rainfall Intensity at the Meso‐β Scale (1984) (268)
The mathematical structure of rainfall representations: 1. A review of the stochastic rainfall models (1981) (242)
Scale considerations in the modeling of temporal rainfall (1984) (222)
The Hurst effect under trends (1983) (215)
Multifractal Dimensions and Scaling Exponents for Strongly Bounded Random Cascades (1992) (178)
On the formulation of an analytical approach to hydrologic response and similarity at the basin scale (1983) (154)
A basic course in probability theory (2007) (127)
The mathematical structure of rainfall representations: 3. Some applications of the point process theory to rainfall processes (1981) (107)
Statistical estimation for multiplicative cascades (2000) (106)
A geomorphologic synthesis of nonlinearity in surface runoff (1981) (101)
Scale Dependence and Scale Invariance in Hydrology: Spatial Variability and Scale Invariance in Hydrologic Regionalization (1998) (100)
The mathematical structure of rainfall representations: 2. A review of the theory of point processes (1981) (97)
Corrections for "Occupation and local times for skew Brownian motion with applications to dispersion across an interface" (2010) (93)
A stochastic kinematic study of subsynoptic space‐time rainfall (1979) (90)
Statistical self-similarity in river networks parameterized by elevation (1989) (89)
On Scales, Gravity and Network Structure in Basin Runoff (1986) (86)
Probability and partial differential equations in modern applied mathematics (2005) (73)
On Taylor's Hypothesis and Dissipation in Rainfall (1987) (66)
A CASCADE DECOMPOSITION THEORY WITH APPLICATIONS TO MARKOV AND EXCHANGEABLE CASCADES (1996) (64)
A self-similar invariance of critical binary Galton-Watson trees (2000) (61)
Scaling Limits and Self‐Similarity in Precipitation Fields (1985) (51)
Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations (2003) (49)
Scaling Limits for Associated Random Measures (1985) (43)
A Generalized Taylor-Aris Formula and Skew Diffusion (2005) (42)
Solute transport across an interface: A Fickian theory for skewness in breakthrough curves (2010) (35)
A note on the theoretical foundations of particle tracking methods in heterogeneous porous media (2008) (34)
On weighted heights of random trees (1991) (33)
Probability & incompressible Navier-Stokes equations: An overview of some recent developments (2005) (30)
A general decomposition theory for random cascades (1994) (30)
Advection–Dispersion Across Interfaces (2013) (25)
ON LOGNORMALITY AND SCALING IN SPATIAL RAINFALL AVERAGES (1991) (24)
A Large Deviation Rate and Central Limit Theorem for Horton Ratios (1991) (20)
SOME MATHEMATICAL ASPECTS OF RAINFALL, LANDFORMS, AND FLOODS (1998) (18)
The Central Limit Problem for Infinitely Divisible Random Measures (1986) (18)
An Approach to the Existence of Unique Invariant Probabilities for Markov Processes ∗ (1999) (17)
Tree-dependent extreme values: the exponential case (1990) (14)
On the main channel length‐magnitude formula for random networks: A solution to Moon's conjecture (1989) (13)
A rate of convergence for the LANSα regularization of Navier–Stokes equations☆ (2008) (12)
Certain positive-definite kernels (1989) (11)
Independent random cascades on Galton-Watson trees (2000) (11)
Scaling limits for point random fields (1984) (11)
An Euler-Maruyama method for diffusion equations with discontinuous coefficients and a family of interface conditions (2020) (10)
Effects of rising energy prices on urban space (1980) (10)
Tree polymers in the infinite volume limit at critical strong disorder (2010) (9)
A note on the distribution of integrals of geometric Brownian motion (2001) (9)
Zero-Range Interaction at Bose-Einstein Speeds Under a Positive Recurrent Single Particle Law (1980) (8)
Iterated random maps and some classes of Markov processes (2001) (8)
Some width function asymptotics for weighted trees (1997) (8)
On Itô's complex measure condition (2003) (8)
Symmetry breaking and uniqueness for the incompressible Navier-Stokes equations. (2015) (8)
Two highly singular intermittent structures: Rain and turbulence (2006) (7)
On a symmetry of turbulence (1992) (7)
Stochastic explosion and non-uniqueness for α-Riccati equation (2019) (7)
T-Martingales, Size Biasing, and Tree Polymer Cascades (2010) (7)
Arbitrage-free valuation of a federal timber lease (1999) (7)
Critical thresholds for eventual extinction in randomly disturbed population growth models (2018) (7)
Stochastic Methods In Hydrology (1998) (6)
An analysis of the Pólya point process (1983) (6)
Semi-Markov Cascade Representations of Local Solutions to 3-D Incompressible Navier-Stokes (2005) (6)
ON NETWORK STRUCTURE FUNCTION COMPUTATIONS (1993) (6)
A Sufficient Condition for Association of a Renewal Process (1986) (6)
ON ESTIMATION THEORY FOR MULTIPLICATIVE CASCADES (2016) (5)
A Delayed Yule Process (2016) (5)
Infinitely divisible Gibbs States (1984) (5)
Numerical Methods for Linear Diffusion Equations in the Presence of an Interface (2013) (4)
Complex Burgers Equation: A Probabilistic Perspective (2019) (4)
On Normalized Multiplicative Cascades under Strong Disorder (2015) (4)
Majorizing Kernels & Stochastic Cascades With Applications To Incompressible (2002) (4)
Skew Disperson and Continuity of Local Time (2014) (3)
Contingent claims on assets with conversion costs (2003) (3)
Weak Convergence of Probability Measures on Metric Spaces (2016) (3)
Continuity of Local Time: An Applied Perspective (2015) (3)
Spatial statistics of random networks and a problem in river basin hydrology (1991) (3)
1. Random Walk and Brownian Motion (2009) (2)
Random Walk, Brownian Motion, and Martingales (2021) (2)
Infinite divisibility of a bethe lattice ising model (1987) (2)
Kolmogorov’s Extension Theorem and Brownian Motion (2016) (2)
On The Drift Paradox in a Regime-Switching Model (2013) (2)
Independence, Conditional Expectation (2016) (2)
Interfacial Phenomena and Natural Local Time (2012) (2)
First Passage Times and Breakthrough Curves Associated with In- terfacial Phenomena (2011) (2)
First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena (2011) (1)
CONTRIBUTIONS TO THE THEORY OF INTERACTING PARTICLE SYSTEMS (1976) (1)
Classical Central Limit Theorems (2016) (1)
First Passage Time Distributions for Brownian Motion with Drift and a Local Limit Theorem (2021) (1)
Halley: A Name that Lives on in Mortality (1988) (1)
Bienaymé–Galton–Watson Simple Branching Process and Extinction (2021) (1)
Doubly Stochastic Yule Cascades (Part I): The explosion problem in the time-reversible case (2021) (1)
Infinitely Divisible Distributions; Gibbs States and Correlations (1986) (1)
3. Birth—Death Markov Chains (2009) (0)
Title : A Moment Rate Characterization for Stochastic Integrals (2010) (0)
Reviews (2003) (0)
Fourier Series, Fourier Transform, and Characteristic Functions (2016) (0)
A conversation with Mu-Fa Chen (2017) (0)
Branching Network Theory and Application in Geosciences (Invited) (2009) (0)
Multidimensional Random Walk (2021) (0)
The Kolmogorov–Chentsov Theorem and Sample Path Regularity (2021) (0)
A Survey of Cascades with Applications from Geosciences (1997) (0)
The Functional Central Limit Theorem (FCLT) (2021) (0)
5. Brownian Motion and Diffusions (2009) (0)
4. Continuous-Parameter Markov Chains (2009) (0)
Martingales and Stopping Times (2016) (0)
A Branching Random Walk on the Positive Half-Line Associated with Incompressible Navier-Stokes Equation and Euler ’ s DiLogarithmic Function (2013) (0)
Growth of Supercritical Bienaymé–Galton–Watson Simple Branching Processes (2021) (0)
Special Topic: A Comprehensive Renewal Theory for General Random Walks (2021) (0)
Classical Zero–One Laws, Laws of Large Numbers and Large Deviations (2016) (0)
Coupling Methods for Markov Chains and the Renewal Theorem for Lattice Distributions (2021) (0)
Fundamental Studies on Hydrology, Hydraulics and Geometry of River Networks (1992) (0)
Random Series of Independent Summands (2016) (0)
Book Reviews (2017) (0)
Advection-Dispersion in Fluid Media and Selected Works of Rabi Bhattacharya (2016) (0)
Stationary Processes and Discrete Parameter Markov Processes (2022) (0)
Special Topic: Bienaymé–Galton–Watson Simple Branching Process and Excursions (2021) (0)
Random Maps, Distribution, and Mathematical Expectation (2016) (0)
Large scale effects of localized physical heterogeneity on environmental processes (Invited) (2010) (0)
ArcSine Law Asymptotics (2021) (0)
Advection-Dispersion Across (2013) (0)
Martingales: Definitions and Examples (2021) (0)
Random Walk, Brownian Motion, and the Strong Markov Property (2021) (0)
The Why of Waiting: How mathematical Best-Choice Models demonstrate optimality of a Refractory Period in Habitat Selection (2010) (0)
2. Discrete-Parameter Markov Chains (2009) (0)
Errata to Stochastic explosion and non-uniqueness for $\alpha$-Riccati equation (2023) (0)
Random Dynamical Systems and Selected Works of Rabi Bhattacharya (2016) (0)
Interfacial Effects In Fragmented Domains: An Example from Breakthrough Curves (2010) (0)
A Probabilistic Look at Mixing and Cooling Processes (1982) (0)
STATISTICAL ESTIMATION FOR MULTIPLICATIVE CASCADES 1 (2001) (0)
Multiscaling and random cascades (1996) (0)
Some Elements of the Theory of Markov Processes and Their Convergence to Equilibrium (2016) (0)
When fourth moments are enough (2017) (0)
A Historical Note on Brownian Motion (2016) (0)
AN ABSTRACT OF THE THESIS OF Noppadon Wichitsongkram for the degree of Doctor of Philosophy in Mathematics presented on March 13, 2013. Title: Representations of Fractional Brownian Motion Abstract approved: (2013) (0)
Fundamental Studies on Basin Scale Hydrology (1988) (0)
Letters to the Editor (2023) (0)
Strong Markov Property, Skorokhod Embedding, and Donsker’s Invariance Principle (2016) (0)
Special Topic: The Geometric Random Walk and the Binomial Tree Model of Mathematical Finance (2021) (0)
0. A Probability and Measure Theory Overview (2009) (0)
Stochastic Calculus for Point Processes and a Martingale Characterization of the Poisson Process (2021) (0)
Symmetry Breaking for the Incompressible Navier-Stokes Equations (2015) (0)
6. Dynamic Programming and Stochastic Optimization (2009) (0)
Galton-Watson trees (2000) (0)
The purpose of the Institute is to foster the development and dissemination of the theory and applications of statistics and probability. (2016) (0)
Special Topic: Fractional Brownian Motion and/or Trends: The Hurst Effect (2021) (0)
What Is a Stochastic Process? (2021) (0)
Critical thresholds for eventual extinction in randomly disturbed population growth models (2018) (0)
The Simple Random Walk I: Associated Boundary Value Distributions, Transience, and Recurrence (2021) (0)
The Brownian Bridge (2021) (0)
Special Topic: Optimal Stopping Rules (2021) (0)
Special Topic: Branching Random Walk, Polymers, and Multiplicative Cascades (2021) (0)
The Reuter-Ledermann representation for birth and death processes (1976) (0)
About the cover: Ars Conjectandi and Jacques Bernoulli (2013) (0)
Skew Disperson and Continuity of Local Time (2014) (0)
Brownian Motion: The LIL and Some Fine-Scale Properties (2016) (0)
The Simple Random Walk II: First Passage Times (2021) (0)
7. An Introduction to Stochastic Differential Equations (2009) (0)
Markov processes for Advection-Diffusion Transport in Non-Smooth Media: Skew Brownian Motion and the Generalized Taylor-Aris Formula. (2007) (0)
Special Topic: Ruin Problems in Insurance (2021) (0)
Brownian Motion on the Half-Line: Absorption and Reflection (2021) (0)
Continuous Parameter Martingales (2021) (0)
Rabi N. Bhattacharya (2016) (0)
Optional Stopping of (Sub)Martingales (2021) (0)
Special Topic: Incompressible Navier–Stokes Equations and the Le Jan–Sznitman Cascade (2021) (0)
The Poisson Process, Compound Poisson Process, and Poisson Random Field (2021) (0)
The Upcrossings Inequality and (Sub)Martingale Convergence (2021) (0)

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