Luigi Chierchia

Q: What Schools Are Affiliated With Luigi Chierchia

Luigi Chierchia is affiliated with the following schools: Consorzio ICoN, Roma Tre University, New York University

Luigi Chierchia's AcademicInfluence.com Rankings

Luigi Chierchia

Mathematics

#5169

World Rank

#7295

Historical Rank

Measure Theory

#4033

World Rank

#4755

Historical Rank

mathematics Degrees

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Mathematics

Luigi Chierchia's Degrees

PhD Mathematics Consorzio ICoN

Why Is Luigi Chierchia Influential?

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According to Wikipedia, Luigi Chierchia is an Italian mathematician, specializing in nonlinear differential equations, mathematical physics, and dynamical systems . Chierchia studied physics and mathematics at the Sapienza University of Rome with Laurea degree in 1981 with supervisor Giovanni Gallavotti. After a year of military service, Chierchia studied mathematics at the Courant Institute of New York University and received his PhD there in 1985. His doctoral dissertation Quasi-Periodic Schrödinger Operators in One Dimension, Absolutely Continuous Spectra, Bloch Waves and integrable Hamiltonian Systems was supervised by Henry P. McKean. As a postdoc, Chierchia studied at the University of Arizona, ETH Zurich and the École Polytechnique in Paris. Since 2002 he has been Professor of Mathematical Analysis at Roma Tre University.

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Luigi Chierchia'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

Drift and diffusion in phase space (1994) (210)
KAM Tori for 1D Nonlinear Wave Equations¶with Periodic Boundary Conditions (1999) (195)
KAM stability and celestial mechanics (2007) (104)
The planetary N-body problem: symplectic foliation, reductions and invariant tori (2011) (95)
Construction of analytic KAM surfaces and effective stability bounds (1988) (88)
Smooth prime integrals for quasi-integrable Hamiltonian systems (1982) (83)
On the Stability of Realistic Three-Body Problems (1997) (72)
A direct proof of a theorem by Kolmogorov in hamiltonian systems (1994) (71)
Quasi-Periodic Attractors in Celestial Mechanics (2009) (70)
On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom (2002) (58)
A Constructive Theory of Lagrangian Tori and Computer-assisted Applications (1995) (56)
Upper bounds on arnold diffusion times via Mather theory (2001) (53)
On the complex analytic structure of the golden invariant curve for the standard map (1990) (47)
Elliptic Two-Dimensional Invariant Tori for the Planetary Three-Body Problem (2003) (47)
Measures of basins of attraction in spin-orbit dynamics (2008) (42)
Rigorous estimates for a computer‐assisted KAM theory (1987) (39)
Natural boundaries for area-preserving twist maps (1992) (39)
PROPERLY-DEGENERATE KAM THEORY (FOLLOWING V. I. ARNOLD) (2010) (38)
N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem (2006) (36)
Moser's theorem for lower dimensional tori (2004) (34)
Planetary Birkhoff normal forms (2012) (34)
KAM tori for N-body problems: a brief history (2006) (32)
KAM Stability for a three-body problem of the Solar system (2005) (31)
The Steep Nekhoroshev’s Theorem (2014) (27)
Deprit’s reduction of the nodes revisited (2011) (25)
Compensations in small divisor problems (1996) (23)
Hamiltonian Stability of Spin–Orbit Resonances in Celestial Mechanics (2000) (21)
On the measure of Lagrangian invariant tori in nearly--integrable mechanical systems (draft) (2015) (19)
Second Order Hamiltonian Equations on T∞ and Almost-Periodic Solutions (1995) (19)
Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems (2008) (17)
Analytic Lagrangian tori for the planetary many-body problem (2009) (17)
Construction of stable periodic orbits for the Spin-Orbit problem of Celestial Mechanics (1998) (17)
A note on the construction of Hamiltonian trajectories along heteroclinic chains (2000) (16)
Absolutely continuous spectra of quasiperiodic Schrödinger operators (1987) (15)
Metric stability of the planetary N-body problem (2014) (12)
A Computer-Assisted Approach to Small-Divisors Problems Arising in Hamiltonian Mechanics (1991) (12)
The steep Nekhoroshev’s Theorem and optimal stability exponents (an announcement) (2014) (11)
KAM stability estimates in Celestial Mechanics (1998) (11)
Asymptotic expansions of quasiperiodic solutions (1989) (11)
Stability of Nearly Integrable, Degenerate Hamiltonian Systems with Two Degrees of Freedom (2006) (10)
Maximal Almost-Periodic Solutions for Lagrangian Equations on Infinite Dimensional Tori (1994) (10)
Erratum to: Drift and diffusion in phase space (1998) (10)
Explicit estimates on the measure of primary KAM tori (2016) (10)
On the weak limit of rapidly oscillating waves (1987) (9)
Quasi-periodic Schrödinger operators in one dimension, Absolutely continuous spectra, Bloch waves and integrable Hamiltonian systems (1986) (9)
The Steep Nekhoroshev’s Theorem (2016) (8)
KAM theory and Celestial Mechanics (2006) (8)
Invariant curves for area-preserving twist maps far from integrable (1991) (8)
The Spin–Orbit Resonances of the Solar System: A Mathematical Treatment Matching Physical Data (2013) (8)
A direct method for constructing solutions of the Hamilton-Jacobi equation (1990) (8)
Low-order resonances in weakly dissipative spin-orbit models (2009) (7)
A note on quasi-periodic solutions of some elliptic systems (1996) (7)
KAM Theory for secondary tori (2017) (7)
Periodic solutions of the planetary N-body problem (2014) (7)
On the topology of nearly-integrable Hamiltonians at simple resonances (2019) (6)
Corrigendum to: Elliptic Two-Dimensional Invariant Tori for the Planetary Three-Body Problem (2006) (6)
On rigorous stability results for low-dimensional KAM surfaces (1988) (6)
Planetary Birkho normal forms (2011) (6)
EXPONENTIAL STABILITY FOR THE RESONANT D'ALEMBERT MODEL OF CELESTIAL MECHANICS (2005) (6)
Asymptotic expansions of quasi-periodicmotions (1989) (5)
Effective Hamiltonian for the D’Alembert Planetary Model near a Spin/Orbit Resonance (2002) (4)
On steepness of 3-jet non-degenerate functions (2019) (4)
Upper Bounds on Arnold Di usion Timevia Mather Theory (2001) (4)
Kolmogorov-Arnold-Moser (KAM) Theory for Finite and Infinite Dimensional Systems (2018) (3)
Nekhoroshev stability for the D'Alembert problem of Celestial Mechanics (2002) (3)
V. I. Arnold’s “Pointwise” KAM Theorem (2019) (3)
Regulation of bioenergetics in O ,-limited isolated rat hearts (2002) (3)
Effective Hamiltonian for the D'Alembert Planetary Model Near a Spin/Orbit Resonance (2002) (3)
On the Stability Problem for Nearly-Integrable Hamiltonian Systems (1994) (3)
Role Mining Techniques To Improve RBAC Administration (2011) (3)
Natural Boundaries for Area-preserving Twist Maps Natural Boundaries for Area-preserving Twist Maps (1991) (2)
Biochemical consequences of electrical pacing in ischemic-reperfused isolated rat hearts (1999) (2)
Quasi-periodic attractors and spin/orbit resonances (2007) (2)
N-dimensional invariant tori for the planar (N + 1)-body problem (2004) (2)
On the Convergence of Formal Series Containing Small Divisors (1999) (2)
THE PLANETARY N–BODY PROBLEM (2017) (2)
On the measure of KAM tori in two degrees of freedom (2019) (2)
Exponential estimates on the one-dimensional Schroedinger equation with bounded analytic potential (1989) (1)
Birth and Death of Invariant Tori for Hamiltonian Systems (1991) (1)
V. I. Arnold’s “Global” KAM Theorem and Geometric Measure Estimates (2020) (1)
Action-angle Variables for Generic 1D Mechanical Systems. (2020) (1)
Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems (2008) (1)
KAM Theory for finite and infinite dimensional systems (2018) (1)
ARNOLD INSTABILITY FOR NEARLY{INTEGRABLE ANALYTIC HAMILTONIAN SYSTEMS (2007) (1)
Arnold Instability for nearly--integrable Hamiltonian systems (1995) (1)
On a result by J. N. Mather concerning invariant sets for area-preserving twist maps (1991) (1)
Meeting Jürgen Moser (2009) (0)
Quasi-periodic motions in generic nearly-integrable mechanical systems (2022) (0)
The Spin–Orbit Resonances of the Solar System: A Mathematical Treatment Matching Physical Data (2014) (0)
Compensations in small divisor problemsL (1994) (0)
Explicit estimates on the measure of primary KAM tori (2017) (0)
On steepness of 3-jet non-degenerate functions (2019) (0)
ON THEWEAK LIMIT OF RAPIDLY OSCILLATINGWAVES (1987) (0)
A Report on Some New KAM Estimates (1987) (0)
Capture in spin–orbit resonances and weakly dissipative attractors (2007) (0)
An effective theory of KAM surfaces (1989) (0)
Birth of resonances in the spin-orbit problem of Celestial Mechanics (1999) (0)
New Perspectives on the N -body Problem (2013) (0)
V. I. Arnold’s “Global” KAM Theorem and Geometric Measure Estimates (2021) (0)
A new approach to the planetary N-Body Problem (2012) (0)

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What Schools Are Affiliated With Luigi Chierchia?

Luigi Chierchia is affiliated with the following schools:

Luigi Chierchia's Academic­Influence.com Rankings