Charles E. M. Pearce | Academic Influence

Charles E. M. Pearce's AcademicInfluence.com Rankings

Charles E. M. Pearce

Mathematics

#2154

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#3370

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Measure Theory

#2869

World Rank

#3410

Historical Rank

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Mathematics

Why Is Charles E. M. Pearce Influential?

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According to Wikipedia, Charles Edward Miller Pearce was a New Zealand/Australian mathematician. At the time of his death on 8 June 2012 he was the Elder Professor of Mathematics at the University of Adelaide. Early life Pearce was born in Wellington. His early schooling was in Wellington and he was dux of Hutt Valley High School in 1957. He earned his Bachelor of Science and in 1962 he earned a Masters of Science with first class honours in Mathematics, all from Victoria University of Wellington. The bachelor's degree was from the University of New Zealand, as the constituent colleges of UNZ, of which Victoria University College was one of four, had proliferated into four autonomous Universities by the time Pearce completed his master's degree.

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Charles E. M. Pearce's Published Works

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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

Selected Topics on Hermite-Hadamard Inequalities and Applications (2003) (793)
Inequalities for differentiable mappings with application to special means and quadrature formulæ (2000) (248)
Stochastic Resonance: From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization (2008) (236)
P-functions, Quasi-convex Functions, and Hadamard-type Inequalities (1999) (100)
Hadamard's Inequality forr-Convex Functions (1997) (92)
A Generalized Trapezoid Inequality for Functions of Bounded Variation (2000) (80)
Optimal information transmission in nonlinear arrays through suprathreshold stochastic resonance (2006) (74)
Closed queueing networks with batch services (1990) (74)
Generalizations of some inequalities of Ostrowski-Grüss Type (2000) (67)
Stolarsky Means and Hadamard's Inequality☆ (1998) (67)
An analysis of noise enhanced information transmission in an array of comparators (2002) (66)
An Optimal Linear Active Suspension with Finite Road Preview (1980) (66)
AnM/M/1 retrial queue with control policy and general retrial times (1993) (58)
A characterization of suprathreshold stochastic resonance in an array of comparators by correlation coefficient (2002) (56)
Quasi-convex functions and Hadamard's inequality (1998) (52)
An Inequality for Convex Functions (1994) (51)
Some New Bounds for Singular Values and Eigenvalues of Matrix Products (2000) (47)
An Efficient Algorithm for the (1999) (41)
The quasi-stationary behavior of quasi-birth-and-death processes (1997) (40)
Extended continued fractions, recurrence relations and two-dimensional Markov processes (1989) (38)
A general comparison theorem for backward stochastic differential equations (2010) (38)
On Jensen's inequality for a class of functions of Godunova and Levin (1996) (34)
Performance Index for a Preview Active Suspension Applied to a Quarter-Car Model (2001) (34)
The exact solution of the general stochastic rumour (2000) (33)
Locating Concentric Ring Roads in a City (1974) (33)
An Optimal Suspension for an Automobile on a Random Road (1979) (32)
Invariant measures for quasi-birth-and-death processes (1998) (30)
A probabilistic approach to quantum Bayesian games of incomplete information (2012) (29)
The multivariate Faà di Bruno formula and multivariate Taylor expansions with explicit integral remainder term (2007) (29)
Quantization in the presence of large amplitude threshold noise (2005) (28)
Rumours with general initial conditions (2004) (25)
Riesz Products and Normal Numbers (1985) (22)
PHYSICALLY REALISABLE FEEDBACK CONTROLS FOR A FULLY ACTIVE PREVIEW SUSPENSION APPLIED TO A HALF-CAR MODEL (1998) (21)
Direct Computation of the Performance Index for an Optimally Controlled Active Suspension with Preview Applied to a Half-Car Model (2001) (21)
Information entropy and parrondo’s discrete-time ratchet (2000) (21)
Binary versus real coding for genetic algorithms: A false dichotomy? (2010) (21)
On Jensen''s and related inequalities for isotonic sublinear functionals (2001) (20)
Shannon’s and Related Inequalities in Information Theory (2000) (20)
IMPROVEMENTS OF SOME BOUNDS ON ENTROPY MEASURES IN INFORMATION THEORY (1998) (20)
Rumours, epidemics, and processes of mass action: synthesis and analysis (2003) (20)
Riesz products, Hausdorff dimension and normal numbers (1987) (19)
A second look at a queueing system with moving average input process (1965) (19)
An inequality, with applications to Cantor measures and normal numbers (1988) (19)
Entropy, Markov information sources and Parrondo games (2000) (19)
A quasi-trapezoid inequality for double integrals (2003) (18)
Approximations for Csiszar f-divergence via midpoint inequalities (2001) (17)
Stochastic resonance and data processing inequality (2003) (17)
The logarithmic mean is a mean (1997) (17)
An algorithmic approach to the Markov chain with transition probability matrix of upper block-Hessenberg form (1998) (16)
Inversion of analytically perturbed linear operators that are singular at the origin (2009) (15)
Csiszár f-divergence, Ostrowski’s inequality and mutual information (2001) (14)
Oceanic Migration: Paths, Sequence, Timing and Range of Prehistoric Migration in the Pacific and Indian Oceans (2011) (14)
ORIENTED SITE PERCOLATION , PHASE TRANSITIONS AND PROBABILITY BOUNDS (2005) (13)
On Parrondo’s paradoxical games (2000) (13)
Stochastic Resonance: Index (2008) (12)
The modelling and numerical simulation of causal non-linear systems (2001) (12)
RMS Values for Force, Stroke and Deflection in a Quarter-car Model Active Suspension with Preview (2003) (12)
Analog-to-digital conversion using suprathreshold stochastic resonance (2005) (12)
Point singularities and suprathreshold stochastic resonance in optimal coding (2004) (12)
An Integral Inequality for Convex Functions, with Application to Teletraffic Congestion Problems (1995) (11)
A continuous analogue and an extension of Radó's formulæ (1996) (11)
Multivariate Hardy-type inequalities (2000) (11)
On the existence of a quasistationary measure for a Markov chain (2001) (11)
Jensen's inequality for distributions possessing higher moments, with application to sharp bounds for Laplace-Stieltjes transforms (1998) (11)
On the solution of a class of algebraic matrix Riccati equation (1986) (11)
Refinements of some bounds in information theory (2001) (11)
State-Space Visualization and Fractal Properties of Parrondo’s Games (2002) (11)
Connecting internally balanced quasi-reversible Markov processes (1992) (10)
A philosophy for the modelling of realistic nonlinear systems (2003) (10)
Stochastic Resonance: List of figures (2008) (10)
Finding keywords amongst noise: automatic text classification without parsing (2007) (10)
The MX/G/1 queue with queue length dependent service times (2001) (10)
HADAMARD AND DRAGOMIR-AGARWAL INEQUALITIES, HIGHER-ORDER CONVEXITY AND THE EULER FORMULA (2001) (10)
The fundamental equations for inversion of operator pencils on Banach space (2014) (10)
On an inverse to the Hölder inequality (1997) (9)
On normal numbers (1982) (9)
On Nonlinear Operator Approximation with Preassigned Accuracy (2003) (9)
On an Inequality for the Entropy of a Probability Distribution (1999) (9)
Martingale Methods for Analysing Single-Server Queues (2002) (9)
A decomposition theorem for numbers in which the summands have prescribed normality properties (1986) (9)
A general formulation for mean-value analysis in product-form batch-movement queueing networks (1994) (9)
Impulsive control of rumours with two broadcasts (2005) (9)
On the problem of re-attempted calls in teletraffic (1987) (9)
Jensen's inequality for quasiconvex functions (2012) (8)
Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series (2011) (8)
Putting the art before the force (2010) (8)
On weighted generalized logarithmic means (1998) (8)
Method of Best Successive Approximations for Nonlinear Operators (2003) (8)
On some inequalities of Brenner and Alzer for concave functions (1996) (8)
Independent non-identical five-parameter gamma-Weibull variates and their sums (2004) (8)
A Variational Approach to the Analysis of Dissipative Electromechanical Systems (2014) (8)
Laurent series for inversion of linearly perturbed bounded linear operators on Banach space (2010) (7)
Multiple Choice Problems Related to the Duration of the Secretary Problem (1998) (7)
Neural mechanisms for analog-to-digital conversion (2004) (7)
Two-point formulae of Euler type (2002) (7)
Class—Inclusion Properties for Convex Functions (2000) (7)
The superposition of independent discrete Markovian packet streams (1991) (7)
On an optimal control policy for stormwater management in two connected dams (2007) (7)
Quasiconvexity, Fractional Programming and Extremal Traffic Congestion (2004) (7)
A Queueing system with general moving average input and negative exponential service time (1966) (7)
Mean-value analysis for a class of Petri nets and batch-movement queueing networks with product-form equilibrium distributions (1995) (7)
On Anastassiou's Generalizations of the Ostrowski Inequality and Related Results (2000) (7)
INTERPOLATIONS OF JENSEN'S INEQUALITY (2003) (6)
FUNCTIONAL STOLARSKY MEANS (1999) (6)
Poisson manifolds in generalised Hamiltonian biomechanics (2001) (6)
A simple battle model with explanatory power. (2010) (6)
An efficient algorithm for the discrete-time algebraic Riccati equation (1999) (6)
On the matrix-sign-function method for solving algebraic Riccati equations (1997) (6)
Topological duality in humanoid robot dynamics (2001) (6)
Optimization : structure and applications (2009) (6)
Perturbing Singular Systems and the Correlating of Uncorrelated Random Sequences (2007) (6)
On an extension of Hölder's inequality (1995) (6)
A correspondence between product-form batch-movement queueing networks and single-movement networks (1997) (6)
Some refinements of Shannon's inequalities (2002) (6)
New Inequalities for Logarithmic Map and Their Application for Entropy and Mutual Information (1999) (5)
Time Dependence in Commuter Traffic Models (1975) (5)
EXTENDED CONTINUED FRACTIONS (1989) (5)
An Integral Analogue of the Ostrowski Inequality (1998) (5)
Queues with moving average service times (1967) (5)
The generalised Hadamard inequality, g-convexity and functional Stolarsky means (2003) (5)
New Approximations for f-Divergence via Trapezoid and Midpoint Inequalities (2002) (5)
Some Inequalities Relating to Upper and Lower Bounds for the Riemann-Stieltjes Integral (2009) (5)
Cauchy-schwarz functionals (2000) (5)
A remark on the Lo-Keng Hua inequality (1994) (5)
A generalization of Pólya's inequality to Stolarsky and Gini means (1998) (5)
An optimal linear filter for random signals with realisations in a separable Hilbert space (2003) (4)
The duration problem with multiple exchanges (2008) (4)
Refinements of Jensen's inequality (2000) (4)
A Kirillov theory for divisible nilpotent groups (1995) (4)
Analysis of a Practical Control Policy for Water Storage in Two Connected Dams (2005) (4)
A probabilistic model for the behaviour of traffic at a roundabout (1987) (4)
A comparison of two approaches to second-order subdifferentiability concepts with application to optimality conditions (2005) (4)
A Consilience of Evidence (2010) (4)
Optimal multilinear estimation of a random vector under constraints of causality and limited memory (2007) (4)
Best causal mathematical models for a nonlinear system (2005) (4)
The Context of Oral Traditions: The Oral Transmission of History and Maui the Navigator’s Visit to New Zealand (2010) (3)
On an inequality relating to sum sets (1995) (3)
A Ring Isomorphism and corresponding Pseudoinverses (2008) (3)
Quasilinearity & Hadamard's inequality (2002) (3)
An Imbedded Chain Approach to a Queue with Moving Average Input (1967) (3)
A queueing system with non-recurrent input and batch servicing (1965) (3)
On two lemmas of Brown and Shepp having application to sum sets and fractals, II (1994) (3)
A mean-value analysis of slotted-ring network models (1996) (3)
Queuing Systems with Transport Service Processes (1967) (3)
Means, g–Convex Dominated Functions & Hadamard–Type Inequalities (2001) (3)
On some discrete Weyl-type inequalities of Pachpatte (2002) (3)
On the square-root method for continuous-time algebraic Riccati equations (1999) (3)
Memory, market stability and the nonlinear cobweb theorem (2004) (3)
Abel-type inequalities, complex numbers and Gauss-Pólya type integral inequalities (1998) (3)
Optimal Mathematical Models for Nonlinear Dynamical Systems (2003) (3)
On the ratio of logarithmic means (1995) (3)
Holomorphic solutions about an irregular singular point of an ordinary linear differential equation (1985) (3)
On a convexity problem arising in queueing theory and electromagnetism (2002) (2)
On a many server queue with non-recurrent input and negative exponential servers (1968) (2)
Optimal quantization for energy-efficient information transfer in a population of neuron-like devices (2004) (2)
Neural information transfer in a noisy environment (2001) (2)
On an interval-partitioning scheme (1999) (2)
Nonlinear-cobweb dynamics in the approach to equilibrium (2004) (2)
Dispersed combat as mass action with finite search (2016) (2)
ON SOME BASIC PROPERTIES OF THE INHOMOGENEOUS QUASI-BIRTH-AND-DEATH PROCESS (1997) (2)
CONNECTING INTERNALLY BALANCED QUASI (1992) (2)
Symmetric square roots of the infinite identity matrix (1976) (2)
A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian (2012) (2)
A Second Look at a Problem of Queueing in Lanes (1984) (2)
Impulsive Control of a Sequence of Rumour Processes (2005) (2)
On two lemmas of Brown and Shepp having application to sum sets and fractals (1994) (2)
Optimal Recursive Estimation of Raw Data (2005) (2)
Geometric Means, Index Mappings and Entropy (2002) (2)
On some mappings associated with geometric and arithmetic means (1997) (2)
FURTHER IMPROVEMENTS OF SOME BOUNDS ON ENTROPY MEASURES IN INFORMATION THEORY (1999) (2)
The Genetic Context (2010) (1)
Mean-value of product-form stochastic petri net models of slotted-ring systems (1993) (1)
Optimal successive estimation of observed data (2001) (1)
On a refinement of the Chebyshev and Popoviciu inequalities (1996) (1)
The approximation of Csizar f-divergence for absolutely continuous mappings (2001) (1)
Stochastic processes and combinatoric identities (1983) (1)
Oriented Bond Percolation and Phase Transitions: an Analytic Approach (2007) (1)
Hadamard’s Inequality for Convex Dominated Functions and Applications (2002) (1)
The Context of Field Archaeology: The Maori Pa (2010) (1)
Some further bounds for differential entropy measures (1999) (1)
THE QUASISTATIONARY BEHAVIOUR OFQUASI-BIRTH-AND-DEATH PROCESSESN (1997) (1)
Measures of algebraic sums of sets (1999) (1)
A Reversed Meir's Inequality and Some Related Results (1997) (1)
Interpolating maps, the modulus map and Hadamardard’s inequality (2009) (1)
On some switching inequalities of Brenner and Alzer (2003) (1)
A probabilistic approach to quantum Bayesian games of incomplete information (2014) (1)
A generalization of Rapp's formula (1982) (1)
T -numbers form an M 0 set (1992) (1)
A generalized Hamiltonian model for the dynamics of human motion (2004) (1)
The effect of World War I and the 1918 influenza pandemic on cohort life expectancy of South Australian males born in 1881–1900 (2004) (1)
A New Look at Urban Water Storage in a Series of Connected Dams (2014) (1)
Analysis of a Multiserver Multiqueue System And Application to HF Network (1999) (1)
Data processing inequality and stochastic resonance (2003) (1)
On an Extremal Problem Arising in Queueing Theory and Telecommunications (2001) (1)
Forward delay times in multi-phase discrete-time renewal processes (1997) (1)
Optimal quantization and suprathreshold stochastic resonance (2005) (1)
How to use noise to reduce complexity in quantization (2005) (1)
Maximizing information transfer through nonlinear noisy devices (2002) (1)
Stochastic Resonance: Suprathreshold stochastic resonance: encoding (2008) (1)
A variational approach to the analysis of non-conservative mechatronic systems (2012) (1)
Stochastic Resonance: Stochastic resonance: its definition, history, and debates (2008) (1)
Mean-value analysis for examining call admission control thresholds in multi-service networks (1994) (1)
Discrepancy results for normal numbers (1987) (1)
On two lemmas of Brown and Shepp having application to sum sets and fractals, III (2000) (1)
Some New Inequalities for the Logarithmic Map, with Applications to Entropy and Mutual Information (2001) (1)
Transoceanic Trade and Migration (1) (2010) (0)
Stochastic Resonance: Preface (2008) (0)
A central limit theorem for a class of Markovian packet streams under heavy traffic conditions (1995) (0)
New perspectives on optimal transforms of random vectors (2009) (0)
Correlation of Significant Voyaging Activity with Rare Extreme Climate Events (2010) (0)
Transoceanic Trade and Migration (2) (2010) (0)
The Oceanographic Context (2010) (0)
Thermodynamics, Mnemonic Matrices and Generalized Inverses (2007) (0)
Transoceanic Trading in Two Oceans (2010) (0)
The cobweb model and a modified genetic algorithm (2000) (0)
Mean-Value Analysis of Product-Form Stochastic Petri Net Models of Slotted-Ring Systems (1993) (0)
NEW ZEALAND PALÆODEMOGRAPHY: PITFALLS & POSSIBILITIES (2010) (0)
THE AMR ACCURACY PROBLEM (1962) (0)
Preface to this Special Issue (2002) (0)
A parallel RLC circuit, with source. (2014) (0)
Stochastic Resonance: The future of stochastic resonance and suprathreshold stochastic resonance (2008) (0)
Dating the First Migration to New Zealand (2010) (0)
An inequality for probability density functions arising from a distinguishability problem (1998) (0)
A pedigree analysis including persons with several degrees of separation and qualitative data (2011) (0)
SUFFICIENT CONDITIONS FOR CONVEXITY IN A CLASS OF FUNCTIONS ARISING IN TELECOMMUNICATIONS (2005) (0)
Information Estimation from Partially Missed Data (2007) (0)
Optimal estimation of a random signal from partially missed data (2006) (0)
Method of Hybrid Approximations for Modelling of Multidimensional Nonlinear Systems (2003) (0)
Diversity sensitivity and multimodal Bayesian statistical analysis by relative entropy (2005) (0)
Gaussian basis functions for solving differential equations (2010) (0)
Stochastic Resonance: Stochastic resonance in the auditory system (2008) (0)
On some inequalities for the entropy and mutual information of random vectors (2002) (0)
Studying the History of Spice Island Migration Through Cultural Diffusion (2010) (0)
Inequalities of Gauß-Minkowski type (1997) (0)
Stochastic Resonance: References (2008) (0)
Pólya-Type Inequalities (2019) (0)
85.16 More on the relative position of means I* (2001) (0)
The Context of Global Climate Change: Climate-Driven Demography (2010) (0)
Bordered symmetric square roots of the identity matrix (1976) (0)
Bounds on Entropy Measures for Mixed Populations (1999) (0)
Stochastic Resonance: Optimal stochastic quantization (2008) (0)
Stochastic Resonance: Introduction and motivation (2008) (0)
ON SOME SPECTRAL RESULTS RELATING TO THE RELATIVE VALUES OF MEANS (2003) (0)
Stochastic Resonance: Large N suprathreshold stochastic resonance (2008) (0)
Interpolations of Jensen's Integral Inequality (2001) (0)
In Memoriam: Hilary Booth (2005) (0)
The Horticultural Context (2010) (0)
Guide expansions for the recursive parametric solution of polynomial dynamical systems (2006) (0)
A Weighted Interpolation for Jensen’s Integral Inequality and Some Converse Results (2001) (0)
Exploration Strategies, Settlement Sequence and the Evolution of Canoe Design (2010) (0)
Interpolations to Jensen's inequality, with applications to refinements of the triangle inequality for normed linear spaces (1995) (0)
Travel intensity in a city with a barrier (1981) (0)
Interpolating maps, the modulus and Hadamard's inequality (2009) (0)
A causal optimal filter of the second degree (2002) (0)
A causal optimal filter of the second order (2002) (0)
MEMORY, MARKET STABILITY AND THE NONLINEAR (2004) (0)
THE DECOUPLING AND SOLUTION OF LOGISTIC AND CLASSICAL TWO-SPECIES LOTKA-VOLTERRA DYNAMICS WITH VARIABLE PRODUCTION RATES (2008) (0)
INSENSITIVITY IN DISCRETE-TIME GENERALIZEDSEMI-MARKOV PROCESSES ALLOWING MULTIPLE EVENTSAND PROBABILISTIC SERVICE SCHEDULING (2007) (0)
The convergence of genetic learning algorithms, with particular reference to recent cobweb models (2000) (0)
Some unified results on logarithmic means (1996) (0)
Cauchy-Schwartz Functionals (2000) (0)
A causal optimal non-linear filter (2002) (0)
Dating the First Settlement of New Zealand: A Power Law Analysis (2010) (0)
Gauss-Pólya Type Results and the Hölder Inequality (2000) (0)
Transoceanic Voyaging in the Pacific (2010) (0)
On the Extended Reversed Meir Inequality (2001) (0)
Some inequalities related to Holders inequality (1995) (0)
The Mythological Context: Tree Worship and the Evolution of Creation Myths (2010) (0)
A queueing system with moving average input process and batch arrivals (1965) (0)
Challenging a Late First Settlement Date for New Zealand (2010) (0)
Geometric Means, Index Mappings and Supermultiplicativity (2002) (0)
A General Comparison Theorem for Backward (2009) (0)
Moving average processes in queueing theory (1965) (0)
WHAT CAN THE BLACK ROBIN TELL US ABOUT POPULATION BOTTLENECKS (2012) (0)
Stochastic Resonance: SSR, neural coding, and performance tradeoffs (2008) (0)
Preface to this Volume (2000) (0)
A Stochastic Analysis of a Tandem Delay System (1982) (0)
ON SOME SWITCHING INEQUALITIES OF BRENNER AND (0)
Some applications of harmonic analysis to number theory (1985) (0)
Stochastic Resonance: Suprathreshold stochastic resonance: large N encoding (2008) (0)
New Zealand Palaeodemography: Archaeologically Based Demographic Evidence (2010) (0)

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What Are Charles E. M. Pearce's Academic Contributions?

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Charles E. M. Pearce has made the following academic contributions:

Stochastic Resonance

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