Warwick Tucker | Academic Influence

Warwick Tucker's AcademicInfluence.com Rankings

Warwick Tucker

Mathematics

#917

World Rank

#1611

Historical Rank

Measure Theory

#4129

World Rank

#4861

Historical Rank

mathematics Degrees

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Mathematics

Warwick Tucker's Degrees

PhD Mathematics University of Melbourne
Bachelors Mathematics University of Melbourne

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Why Is Warwick Tucker Influential?

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According to Wikipedia, Warwick Tucker is an Australian mathematician at Monash University who works on dynamical systems, chaos theory and computational mathematics. He is a recipient of the 2002 R. E. Moore Prize, and the 2004 EMS Prize.

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Warwick Tucker'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 Papers

The Lorenz attractor exists (1999) (593)
A Rigorous ODE Solver and Smale’s 14th Problem (2002) (496)
Validated Numerics: A Short Introduction to Rigorous Computations (2011) (181)
S-system parameter estimation for noisy metabolic profiles using newton-flow analysis. (2007) (57)
Computing accurate Poincaré maps (2002) (56)
Estimating parameters for generalized mass action models using constraint propagation. (2007) (55)
CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications (2016) (42)
Non-uniformly expanding dynamics in maps with singularities and criticalities (1999) (37)
Rigorous parameter reconstruction for differential equations with noisy data (2008) (37)
Enclosing all zeros of an analytic function - A rigorous approach (2009) (36)
Parameter Reconstruction for Biochemical Networks Using Interval Analysis (2006) (29)
A Note on the Convergence of Parametrised Non-Resonant Invariant Manifolds (2008) (27)
A database of rigorous and high-precision periodic orbits of the Lorenz model (2015) (25)
A rigorous lower bound for the stability regions of the quadratic map (2009) (24)
Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals (2013) (23)
Numerical Study of Coexisting attractors for the HéNon Map (2013) (18)
Is the Hénon attractor chaotic? (2015) (15)
Rigorous study of short periodic orbits for the Lorenz system (2008) (14)
Mapped Regular Pavings (2012) (13)
An Improved Lower Bound on the Number of Limit Cycles Bifurcating from a Hamiltonian Planar Vector Field of Degree 7 (2010) (11)
On a computer-aided approach to the computation of Abelian integrals (2008) (11)
Searching for Sinks for the Hénon Map using a Multipleprecision GPU Arithmetic Library (2014) (10)
Robust normal forms for saddles of analytic vector fields (2004) (10)
Automated computation of robust normal forms of planar analytic vector fields (2008) (9)
Validated Study of the Existence of Short Cycles for Chaotic Systems Using Symbolic Dynamics and Interval Tools (2011) (8)
Validated Numerics for Pedestrians (2005) (8)
Short periodic orbits for the Lorenz system (2008) (7)
An Improved Lower Bound on the Number of Limit Cycles Bifurcating from a quintic Hamiltonian Planar Vector Field under quintic Perturbation (2010) (6)
Combination of exhaustive search and continuation method for the study of sinks in the Hénon map (2013) (6)
A computer-assisted proof of the existence of solutions to a boundary value problem with an integral boundary condition (2011) (6)
On the structure of existence regions for sinks of the Hénon map. (2014) (6)
Searching for sinks of Henon map using a multiple-precision GPU arithmetic library (2013) (6)
Reconstructing Metabolic Networks Using Interval Analysis (2005) (6)
Interval analysis techniques for boundary value problems of elasticity in two dimensions (2007) (4)
Fixed points of a destabilized Kuramoto-Sivashinsky equation (2015) (4)
A rigorous study of possible configurations of limit cycles bifurcating from a hyper-elliptic Hamiltonian of degree five (2009) (4)
The Lorenz Attractor Exists – An Auto-Validated Proof (2002) (4)
Rigorous integration of smooth vector fields around spiral saddles with an application to the cubic Chua's attractor (2019) (4)
A computer-assisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity (2012) (4)
On a Fast and Accurate Method to Enclose All Zeros of an Analytic Function on a Triangulated Domain (2009) (4)
Scientific Computing, Computer Arithmetic, and Validated Numerics: 16th International Symposium, SCAN 2014, Würzburg, Germany, September 21–26, 2014. Revised Selected Papers (2016) (3)
A Mechatronically Measurable Double Pendulum for Machine Interval Experiments (2010) (3)
Rigorous parameter estimation for noisy mixed-effects models (2010) (2)
Symbolic dynamics based method for rigorous study of the existence of short cycles for chaotic systems (2009) (2)
Computer assisted proofs in dynamical systems (2022) (2)
Invertibility Properties of Singular Integral Operators Associated with the Lamé and Stokes Systems on Infinite Sectors in Two Dimensions (2017) (1)
Computational algorithms for ordinary differential equations (2000) (1)
Fundamentals of Chaos (2009) (1)
A New Lower Bound on the Hilbert Number for Quartic Systems (2019) (1)
The Number of Relative Equilibria in the PCR4BP (2022) (1)
Optimal Design in Population Kinetic Experiments by Set-Valued Methods (2011) (1)
Some counterexamples for the spectral-radius conjecture (2003) (1)
On the Existence of the Double Scroll Attractor for the Chua's Circuit with a Smooth Nonlinearity (2018) (0)
Rigorous models for the Lorenz equations (1996) (0)
Parametrisation of local invariant manifolds (2008) (0)
Eﬀicient and Validated Numerical Evaluation of Abelian Integrals (2022) (0)
Is the H enon attractor chaotic ? (2015) (0)
The Songling system has exactly four limit cycles (2022) (0)
Validated numerics and Hilbert's 16th problem (2011) (0)
Finding all solutions of stationary Kuramoto-Sivashinsky equations. (2017) (0)
A systematic approach to find periodic sinks of the Henon map close to the classical case (2014) (0)
Computer-Aided Proofs via Interval Analysis (2015) (0)
Reviews (2003) (0)
Lower bounds on the Hausdorff dimension of some Julia sets (2022) (0)
B.R.A.I.N. 2001 - Improvements and Innovation (2001) (0)
A computer-assisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity (2011) (0)
There and back again: Split and prune to tighten (2013) (0)
Invertibility Properties of Singular Integral Operators Associated with the Lamé and Stokes Systems on Infinite Sectors in Two Dimensions (2017) (0)
Fixed points of arbitrarily deep 1-dimensional neural networks (2023) (0)
Revised Selected Papers of the 16th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics - Volume 9553 (2014) (0)

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