John Casti | Academic Influence

John Casti's AcademicInfluence.com Rankings

John Casti

Mathematics

#5434

World Rank

#7648

Historical Rank

#1786

USA Rank

Measure Theory

#753

World Rank

#1011

Historical Rank

#299

USA Rank

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Mathematics

Why Is John Casti Influential?

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According to Wikipedia, John L. Casti is an author, complexity scientist, systems theorist, mathematician and entrepreneur. As an author Over the course of his extensive career, Casti has dedicated himself to writing across a variety of fields. Casti has written more than 120 scientific articles, seven technical monographs and textbooks on mathematical modeling. He was also the former editor of the journals Applied Mathematics & Computation and Complexity.

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John Casti'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

DIFFERENTIAL QUADRATURE: A TECHNIQUE FOR THE RAPID SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (1972) (1313)
DIFFERENTIAL QUADRATURE AND LONG-TERM INTEGRATION (1971) (1177)
Introduction to the theory and application of differential equations with deviating arguments (1973) (780)
Complexification: Explaining a Paradoxical World Through the Science of Surprise (1994) (533)
Would-Be Worlds: How Simulation Is Changing the Frontiers of Science (1996) (438)
Unconventional Models of Computation (2002) (206)
PARADIGMS LOST (1989) (181)
Nonlinear System Theory (2012) (164)
Would-Be Worlds (1996) (151)
The qualitative theory of optimal processes (1976) (149)
Connectivity, Complexity, and Catastrophe in Large-Scale Systems (1980) (126)
Vector-valued optimization problems in control theory (1979) (115)
Chaos data analyzer (1996) (104)
Searching for Certainty: What Scientists Can Know about the Future (1992) (101)
On System Complexity: Identification, Measurement, and Management (1986) (101)
Imbedding methods in applied mathematics (1973) (91)
Beyond Belief: Randomness, Prediction and Explanation in Science (1990) (89)
Alternate Realities: Mathematical Models of Nature and Man (1989) (88)
Real brains: artificial minds (1987) (86)
Complexity, Language, and Life: Mathematical Approaches (1986) (83)
Paradigms Lost: Images of Man in the Mirror of Science (1991) (78)
Boundaries And Barriers: On The Limits To Scientific Knowledge (1996) (71)
A new initial-value method for on-line filtering and estimation (Corresp.) (1972) (66)
Recent Developments and Future Perspectives in Nonlinear System Theory (1982) (63)
Dynamical Systems and Their Applications : Linear Theory (1977) (61)
Searching for Certainty (1990) (54)
Introduction to the Mathematical Theory of Control Processes, Volume I: Linear Equations and Quadratic Criteria, Volume II: Nonlinear Processes (1978) (46)
Dynamic programming and parallel computers (1973) (45)
Economic Evolution and Structural Adjustment (1987) (44)
Principles of Dynamic Programming, Part II: Advanced Theory and Applications. (1983) (44)
Seeing the light at El Farol: A look at the most important problem in complex systems theory (1995) (36)
On the general inverse problem of optimal control theory (1980) (34)
The Theory of Networks (1995) (33)
Paradigms lost : tackling the unanswered mysteries of modern science (1989) (32)
Polyhedral Dynamics and the Geometry of Systems (1977) (31)
The theory of metabolism-repair systems (1988) (31)
Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematics (2000) (28)
The cognitive revolution (1993) (27)
REFLECTION AND TRANSMISSION FUNCTIONS FOR FINITE ISOTROPICALLY SCATTERING ATMOSPHERES WITH SPECULAR REFLECTORS (1969) (27)
Five golden rules: great theories of 20th-century mathematics and why they matter (1996) (26)
The linear-Quadratic Control Problem: Some Recent Results and Outstanding Problems (1980) (26)
Catastrophes, control and the inevitability of spruce budworm outbreaks (1982) (25)
Can you trust it?: on the reliability of computer simulation and the validity of models (1997) (25)
The simply complex: Biologizing control Theory: How to make a control system come alive , The big problems of control theory (2002) (25)
Cooperation and conflict in general evolutionary processes (1995) (24)
Seizing the X-events. The sixth K-wave and the shocks that may upend it (2015) (24)
Dynamic Programming and Partial Differential Equations (2012) (24)
Mood Matters: From Rising Skirt Lengths to the Collapse of World Powers (2010) (23)
Some New Analytic and Computational Results for Operator Riccati Equations (1975) (23)
At the limit (1998) (22)
Optimal linear filtering theory and radiative transfer: Comparisons and interconnections (1972) (22)
Computing the uncomputable (1997) (21)
Networks in Action: Communication, Economics and Human Knowledge (1995) (20)
The borderline (1997) (20)
Art and Complexity (2003) (20)
Newton, Aristotle, and the Modeling of Living Systems (1989) (20)
Topological Methods for Social and Behavioral Systems (1982) (20)
Newton to Aristotle: Toward a Theory of Models for Living Systems (1989) (20)
CONFRONTING SCIENCE'S LOGICAL LIMITS (1996) (20)
Principles of Dynamic Programming: Advanced Theory and Applications (1982) (19)
Modeling phytoplankton dynamics using catastrophe theory (1979) (19)
Lighter than air (1996) (18)
Ars Electronica: Facing the Future: A Survey of Two Decades (1999) (18)
Advanced theory and applications (1982) (17)
Gödel: A Life of Logic (2000) (17)
Networks in Action (2012) (17)
Artistic forms and complexity. (2011) (16)
Catastrophe Theory and Urban Processes (1975) (16)
The great Ashby (1996) (15)
Metaphors for Manufacturing: What Could it be Like to be a Manufacturing System? (1986) (14)
LINEAR METABOLISM-REPAIR SYSTEMS (1988) (14)
"Biologizing" control theory: How to make a control system come alive (2002) (13)
A Proposal for the Calculation of Characteristic Functions for Certain Differential and Integral Operators via Initial-Value Procedures. (1973) (13)
Proof of the basic invariant imbedding method for Fredholm integral equations with displacement kernels. part II (1970) (13)
Bell curves and monkey languages: When do empirical relations become a law of nature? (1995) (13)
Relaxation oscillations and other non-michaelian behavior in a slow-fast phytoplankton growth model (1984) (13)
Numerical experiments in linear control theory using generalized X - Y equations (1976) (12)
Formally speaking (2001) (12)
Systemism, system theory and social system modeling (1981) (11)
Lake ecosystems: A polyhedral dynamics representation (1979) (11)
Would-be worlds : the science and surprise of artificial worlds (1999) (10)
Five Golden Rules (1995) (10)
BizSim: the world of business—in a box (2000) (10)
Manufacturing as a system-determined science (1987) (10)
Newton to Aristotle (1989) (10)
Source functions for an isotropically scattering atmosphere bounded by a specular reflector (1970) (10)
(M, R) systems as a framework for modelling structural change in a global industry (1989) (10)
Would-be business worlds (2000) (9)
The Cambridge Quintet: A Work of Scientific Speculation (1998) (9)
The invariant imbedding numerical method for Fredholm integral equations with displacement kernels (1969) (9)
The computer as a laboratory (1999) (9)
Invariant imbedding and a class of variational problems (1969) (9)
Market values (1993) (8)
Agglomerative tendencies in the distribution of populations. (1986) (8)
Would-be worlds: Toward a theory of complex systems (1997) (8)
Reductive megalomania (1995) (8)
X and Y Functions for Planetary Atmospheres with Lambert Law Reflecting Surfaces (1975) (7)
On Limits (2001) (7)
Canonical models and the law of requisite variety (1985) (7)
Complexity and simplicity, in the eye of the beholder (1995) (7)
A concrete example (2006) (7)
SIMPLE MODELS, CATASTROPHES AND CYCLES (1984) (7)
A rapprochement of the theories of radiative transfer and linear stochastic estimation (1975) (7)
Reduction of dimensionality for systems of linear two-point boundary value problems with constant coefficients (1974) (7)
I know what you'll do next summer (2002) (7)
A new equation for the linear regulator problem (1975) (7)
The One True Platonic Heaven: A Scientific Fiction on the Limits of Knowledge (2003) (6)
Invariant Imbedding and the Solution of Fredholm Integral Equations with Displacement Kernels (1975) (6)
Can you trust it? (1997) (6)
Bifurcations, catastrophes, and optimal control (1980) (6)
Emergent novelty and the modeling of spatial processes (1983) (6)
From Social Mood to Collective Events: Measuring the Path by Sociometers (2021) (6)
Minimal control fields (1973) (6)
Complexity as a sensemaking framework (2005) (6)
Risk, natural disasters, and complex system theory (2001) (6)
The Cambridge Quintet (1998) (6)
Exact Solution of a Family of Matrix Integral Equations for Multiply Scattered Partially Polarized Radiation. II (1970) (6)
Economic Dynamics, Evolution and Structural Adjustment (1987) (5)
Connectivity, complexity and resilience in complex ecosystems (1977) (5)
The waves of life: The Elliott wave principle and the patterns of everyday events (2002) (5)
Science is a computer program (2002) (5)
TRULY, MADLY, RANDOMLY (1997) (5)
External radiation fields for isotropically scattering finite atmospheres bounded by a Lambert law reflector (1970) (5)
Case study: Seven Shocks and Finland (2013) (5)
Basic analytic and computational methods (1978) (5)
Simple and Complex Models in Science (1994) (5)
A CAUCHY SYSTEM FOR A CLASS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS (1973) (5)
Forest monitoring and harvesting policies (1983) (5)
Complexity and aesthetics (1998) (4)
Computing: Parallel thinking (1998) (4)
EQUIVALENCE RELATIONSHIPS BETWEEN DIFFUSE RADIATION FIELDS FOR FINITE SLABS BOUNDED BY A PERFECT SPECULAR REFLECTOR AND A PERFECT ABSORBER (1973) (4)
Large-scale dynamic systems: stability and structure : D.D. Siljak 416 pages, diagrams, 6 x 9 in., Elsevier/North-Holland, New York, 1978. Price, $25.00. (1979) (4)
The jumble cruncher (2004) (4)
Reality Rules I. The Fundamentals; II The Frontier. (1994) (4)
Is the universe random (2011) (4)
The great Ashby: Complexity, variety, and information (1996) (4)
System Similarities and Natural Laws (1984) (3)
Some questions of reachability in natural-resource management (1984) (3)
Investment against Disaster in Large Organizations (1975) (3)
Polyhedral Dynamics - II: Geometrical Structure as a Basis for Decision Making in Complex Systems (1975) (3)
Paradigms Regained: A Further Exploration of the Mysteries of Modern Science (2000) (3)
Losing games for your winning play (2001) (3)
Introduction to unconventional models of computation (1998) (3)
Mathematical System Theory and System Modeling (1980) (3)
The One True Platonic Haven (2003) (3)
Polyhedral dynamics and the controllability of dynamical systems (1979) (3)
Notice of retraction and apology (2004) (2)
A Note on the General Inverse Problem of Optimal Control Theory (1974) (2)
Money is funny, or why finance is too complex for physics (2002) (2)
On the theory of models and the modelling of natural phenomena. (1984) (2)
Initial value methods in detection and communication theory (1973) (2)
Invariant Theory, the Riccati Group, and Linear Control Problems (1976) (2)
New equations for the time-dependent regulator problem (1975) (2)
Interval length imbedding for nonlinear two-point boundary-value problems (1974) (2)
Necessary and Sufficient Conditions in the Minimal Control Field Problem for Linear Systems (1976) (2)
Minimal control fields and pole-shifting by linear feedback (1976) (2)
How history happens, or why the conventional wisdom is always wrong (2003) (2)
System similarities and the existence of natural laws (1987) (2)
The Bellman Continuum (2001) (2)
Design and Management of Regional Systems by Fuzzy Ratings and Polyhedral Dynamics (MCQA) (1984) (2)
Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels (1971) (2)
Optimal Linear Filtering and Neutron Transport: Isomorphic Theories? (1975) (2)
Reduction of the Operator Riccati Equation (1974) (2)
Algorithms for Stochastic Inflow Nonlinear Objective Water Reservoir Control Problem (1974) (2)
Fractalmania: how Jackson Pollock and the Bakuba discovered complexity (2004) (2)
Invariant imbedding and the solution of Fredholm integral equations with displacement Kernels— comparative numerical experiments (1975) (2)
7 Shocks and Finland (2012) (2)
A Cauchy Method for an Integral Equation of Linearized Couette Flow. (1974) (2)
How normal is normal (2009) (2)
Mathematical mountaintops : the five most famous broblems of all time (2001) (2)
In retrospect chosen by John L. Casti (1997) (2)
The art of language (1999) (2)
A GAME OF THREE ROBOTS (1997) (2)
The melting-pot that is ALife (2001) (2)
ILLUSION OR REALITY? THE MATHEMATICS OF ATTAINABLE GOALS AND IRREDUCIBLE UNCERTAINTIES (1979) (1)
On the Dominance of Parameters in Structural Models of Ill-Defined Systems (2001) (1)
A reduced dimensionality method for the steady-state Kalman filter (1976) (1)
System theory and some of its applications in ecology, water resources and energy (1977) (1)
Confronting Science ’ s Logical Limits The mathematical models now used in many scientific fields may be fundamentally unable to answer certain questions about the real world . Yet there may be ways around these problems (1998) (1)
Dynamic Programming with Parallel Computers for Use in Air Force Applications. (1971) (1)
“Byteing” back (1998) (1)
An era of uncertainty: How to anticipate endogenous risks and threats? (2010) (1)
Catastrophe Theory and the Problem of Stellar Collapse (1974) (1)
X and y operators for general linear transport processes. (1975) (1)
Information versus matter (1997) (1)
Comment on Northern lake modeling: A literature review by Patricia M. Fox, Jacqueline D. La Perrie (1981) (1)
Economic Evolution and Structural Adjustment: Proceedings, Berkeley, California, USA, 1985 (1987) (1)
Cauchy systems for fredholm integral equations with parameter imbedding (2000) (1)
BizSim (1999) (1)
Fractalmania (2004) (1)
If d'Arcy had only had a computer: How computers have changed the face of science (1995) (1)
EASY DOES IT (1998) (1)
Note from the Editor (2007) (1)
DIFFERENTIAL QUADRATURE AND LONG-TERM INTEGRATION. Technical Report No. 70-9. (1970) (1)
Exit Homo sapiens, stage left (1999) (1)
Introduction to the special issue on artificial brain, brain computing, and brainware (2000) (1)
Optimal Flood Levee Designs by Dynamic Programming (1977) (1)
Polyhedral Dynamics: I. The relevance of Algebraic Topology to Human Affairs (1975) (1)
Turning the key to an adolescent talent (2000) (1)
Proof of the basic invariant imbedding method for fredholm integral equations with displacement kernels. Part I (1970) (1)
Generalized X-Y Functions, the Linear Matrix Inequality, and Triangular Factorization for Linear Control Problems (1976) (1)
A New Representation for Volterra Factors and the Fredholm Resolvent (1975) (1)
Singularity theory for nonlinear optimization problems (1987) (1)
Chaos, Gödel, and Truth (2018) (1)
TAKE THE PLUNGE (1996) (0)
Review of "Dynamic Programming and Partial Differential Equations" by E. Angel and R. Bellman (1973) (0)
For and against (2012) (0)
Robosoc (1998) (0)
Preface (2003) (0)
A demon of efficiency: Simply Complex -- The second law: In physics and in finance (2004) (0)
Estimating the Parameters of an Inhomogeneous Medium by Probing with Rays. (1969) (0)
Comptes rendus J. Brams Steven Game Theory and the Humanities Cambridge, MA: MIT Press, 2011, 319 pages, ISBN 976-0-262-01522-6 (2012) (0)
Professor Sueo Ueno - personal reminiscences (2000) (0)
L-SYSTEM IN CELLULAR AUTOMATADESIGN OF ARTIFICIAL NEURAL DECISION SYSTEMS (1995) (0)
SCIENCE VS . PSEUDOSCIENCE : WHERE IS THE DIFFERENCE ? (0)
Author’s comment (1988) (0)
As old as the stones (1999) (0)
Proceedings of the Conference on Numerical Ordinary Differential Equations, USA, 1989 (1989) (0)
On non-Turing models of computation (1997) (0)
Putting Some Life into The System (1991) (0)
Preface to the Revised Edition (1977) (0)
How close can you get? (2003) (0)
Robots: Cultural Roots and Impacts (2007) (0)
At the third stroke, the time will be 2300 (1999) (0)
Why Great Powers Come and Go (2010) (0)
Rooting out randomness (2001) (0)
Recommended for Further Reading (2017) (0)
Touring artificial minds (2004) (0)
From Artificial Life and Complexity Research to Bio and Nano Art (2009) (0)
The UnConventional Wisdom (2010) (0)
The World, The Mind and Mathematics (1997) (0)
On the algebraic classification of Fredholm integral operators (1978) (0)
An initial value method for a class of distributed control processes (1971) (0)
On the minimal information necessary to stabilize a linear system (1976) (0)
When normal isn't so normal anymore: Why life-changing technologies appear far more often than we think (2010) (0)
The World Automative Industry in Transition: A Framework for Projection into the 21st Century (1983) (0)
A demon of efficiency (2004) (0)
The inside story on systems, minds, and mechanisms (2000) (0)
Simple models, catastorophes and cycles (1985) (0)
Trends, Shocks and Rebirth (2013) (0)
A Review of: “MATHEMATICAL STRUCTURE IN HUMAN AFFAIRS”, by R. H. Atkin,Crane-Russak Publishers Co., New York, 1974, 212 pp.; and COMBZNATIONAL CONNECTIVITIES IN SOCIAL SYSTEMS, by R. H. Atkin, Birkhauser Verlag, Basel, 1977,241 pp. (1977) (0)
Synthetic thought (2004) (0)
The world of testable truths (2001) (0)
Creation in silicon (1997) (0)
"Byteing" back (1998) (0)
Some Recent Developments in the Theory and Computation of Linear Control Problems (1975) (0)
Why Hits Happen (2010) (0)
A NEW PREDICTOR-CORRECTOR METHOD FOR QUASILINEAR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONS, (1968) (0)
Emerging paradigms in applied mathematical modelling—an introduction (1988) (0)
Guest editors' introduction (2000) (0)
Gregory Chaitin: Mathematician, Philosopher, and Friend (2007) (0)
Emergent Phenomena and Computer Worlds (1996) (0)
Economic evolution and structural adjustment : proceedings of invited sessions on economic evolution and structural change held at the 5th International Conference on Mathematical Modelling at the University of California, Berkeley, California, USA, July 29-31, 1985 (1987) (0)
Resiliency, Stability and the Domain of Attraction (1974) (0)
Applications of Algebra and Geometry in Applied Systems Theory (1978) (0)
A Revised Phytoplankton Growth Equation for Water Quality Modelling in Lakes and Ponds (1982) (0)
Special issue on mathematical biology: Introduction (1989) (0)
Steven J. Brams, Game Theory and the Humanities (2012) (0)
Risk, simulation, and the insurance industry (1999) (0)
Why social mood moves the world (2010) (0)
Why is anything ever simple? (1994) (0)
Getting It Together (2010) (0)
The shape of things to come (1993) (0)
A new conservation law for linear filtering processes (1978) (0)
Variable Structure Systems with Application to Economics and Biology - Mohler, R.R., and A. Ruberti . (1976) (0)
The engine of history (2011) (0)
Pattern recognition workbench, version 2.30 (1997) (0)
Silicon, molecules, or photons (1998) (0)
Some Geometric Aspects of Conflict Resolution (1983) (0)
X-Events as Determinants of the Sixth Kondratieff Wave (2013) (0)
The Cambridge Quintet reviewed by Charles Brickdale (2016) (0)
Foreword: Bob Kalaba: teacher, colleague, and friend (1991) (0)
Connectivity and Stability in Ecological and Energy Systems (1975) (0)
Selected papers of the sixth workshop on Dynamics and control (1995) (0)
Xevents in human society (2010) (0)
A Network Flow Dynamic Programming Algorithm for Complex Water Reservoir Problems (1974) (0)
A Family of Fredholm Integral Equations (1972) (0)
Why “Stuff” Happens (2010) (0)
Whither the weather? (2000) (0)
Computer Codes and Optimal Control Theory (1978) (0)
And now for the bad news [engineering future] (2009) (0)
Review of: “APPLIED GENERAL SYSTEMS RESEARCH”: Recent Developments and Trends, edited by George J. Klir, Plenum Press, New York, 1978, 1020 pp. (1978) (0)
Why wars, Economic Cycles, and Political Crises Happen (2010) (0)

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