Jacob Palis | Academic Influence

Jacob Palis's AcademicInfluence.com Rankings

Jacob Palis

Mathematics

#558

World Rank

#1067

Historical Rank

Measure Theory

#2745

World Rank

#3278

Historical Rank

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Mathematics

Jacob Palis's Degrees

PhD Mathematics Université Paris Cité
Masters Mathematics University of São Paulo
Bachelors Mathematics University of São Paulo

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Why Is Jacob Palis Influential?

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According to Wikipedia, Jacob Palis Jr. is a Brazilian mathematician and professor. Palis' research interests are mainly dynamical systems and differential equations. Some themes are global stability and hyperbolicity, bifurcations, attractors and chaotic systems.

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Jacob Palis'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

Geometric theory of dynamical systems (1982) (1057)
Geometric theory of dynamical systems : an introduction (1984) (682)
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations : fractal dimensions and infinitely many attractors (1993) (680)
On Morse-Smale dynamical systems (1969) (359)
Bifurcations and stability of families of diffeomorphisms (1983) (315)
A Global View of Dynamics and a Conjecture on the Denseness of Finitude of Attractors (2000) (203)
Neighborhoods of hyperbolic sets (1970) (168)
High dimension diffeomorphisms displaying infinitely many periodic attractors (1994) (156)
HYPERBOLICITY AND THE CREATION OF HOMOCLINIC ORBITS (1987) (121)
A global perspective for non-conservative dynamics (2005) (96)
The topology of holomorphic flows with singularity (1978) (79)
Fifty problems in dynamical systems (1975) (78)
Centralizers of Anosov diffeomorphisms on tori (1989) (74)
Bifurcations of Morse–Smale Dynamical Systems (1973) (73)
Topological equivalence of normally hyperbolic dynamical systems (1977) (71)
Vector fields generate few diffeomorphisms (1974) (69)
On the continuity of Hausdorff dimension and limit capacity for horseshoes (1988) (68)
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms (1985) (62)
Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension (1994) (61)
Rigidity of centralizers of diffeomorphisms (1989) (60)
Hyperbolic Nonwandering Sets on Two-Dimensional Manifolds (1973) (59)
Open questions leading to a global perspective in dynamics (2008) (59)
On the C1 Ω-stability conjecture (1987) (52)
On the local structure of hyperbolic points in Banach spaces (1967) (49)
Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles (2006) (45)
Symmetry and Entropy: Mathematical Metaphors in the Work of Levi-Strauss [and Comments and Reply] (1990) (41)
Nitrogen removal in a low-loaded single tank sequencing batch reactor (1985) (40)
Stability of parametrized families of gradient vector fields (1983) (37)
Genericity theorems in topological dynamics (1975) (30)
STABLE ARCS OF DIFFEOMORPHISMS (1976) (21)
Moduli of stability for diffeomorphisms (1980) (19)
Families of vector fields with finite modulus of stability (1981) (17)
On the arithmetic sum of regular Cantor sets (1997) (17)
A differentiable invariant of topological conjugacies and moduli of stability (2019) (14)
Geometry and Dynamics (2005) (14)
Rigidity of the centralizers of diffeomorphisms and structural stability of suspended foliations (1978) (12)
Homoclinic tangencies and fractal invariants in arbitrary dimension (2001) (12)
Differentiable conjugacies of Morse-Smale diffeomorphisms (1990) (11)
Characterising diffeomorphisms with modulus of stability one (1981) (10)
Bifurcations and global stability of families of gradients (1989) (10)
Hamiltonian - Like Phenomena in Saddle - Node Bifurcations of Invariant Curves for Plane Diffeomorphisms (1985) (10)
Chaotic and complex systems (2002) (9)
Implicit formalism for affine-like maps and parabolic composition (2001) (9)
Dynamical Systems Valparaiso 1986 (1988) (7)
On Morse-Smale diffeomorphisms (1968) (7)
Cycles and bifurcation theory (2019) (6)
On the Finiteness of Attractors for One-Dimensional Maps with Discontinuities (2013) (6)
Nondifferentiability of invariant foliations (1975) (6)
On the finiteness of attractors for piecewise $C^{2}$ maps of the interval (2015) (5)
Arcs of Dynamical Systems: Bifurcations and Stability (1975) (5)
On the Contribution of Smale to Dynamical Systems (1993) (3)
A note on the inclination Lemma (λ-Lemma) and Feigenbaum's rate of approach (1983) (3)
A global perspective for non-conservative dynamics Une perspective globale pour la dynamique non-conservativ (2005) (2)
A View on Chaotic Dynamical Systems (2006) (2)
Non-uniformly hyperbolic horseshoes in the standard family (2017) (2)
The Dynamics of a Diffeomorphism and the Rigidity of its Centralizer (1985) (2)
On the Statistical Attractors and Attracting Cantor Sets for Piecewise Smooth Maps (2019) (2)
Genericity and Stability of Morse-Smale Vector Fields (1982) (1)
The Kupka-Smale Theorem (1982) (1)
An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes (2017) (1)
Some developments on stability and bifurcations of dynamical systems (1977) (1)
Geometric dynamics : proceedings of the international symposium, held at the Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brasil, July-August 1981 (1983) (1)
Geometry and Topology (1977) (0)
Welington de Melo and Jacob Palis: Their First Meeting, Some of Their Work on Structural Stability and a Lifetime of Friendship (2019) (0)
Homoclinic Bifurcations : our collaboration with (2018) (0)
Corrigendum: Open questions leading to a global perspective in dynamics (2008 Nonlinearity 21 T37–43) (2015) (0)
II Southern-Summer School on Mathematical Biology (2013) (0)
On Floris Takens and our joint mathematical work (2011) (0)
Homoclinic Bifurcations: our collaboration with Jean-Christophe Yoccoz (2017) (0)
STABLE SETS OF CERTAIN NON-UNIFORMLY HYPERBOLIC HORSESHOES HAVE THE EXPECTED DIMENSION (2017) (0)
Dynamical systems, Valparaiso 1986 : proceedings of a symposium held in Valparaiso, Chile, Nov. 24-29, 1986 (1988) (0)
Fulfilling the promise (2015) (0)
EXECUTIVE SUMMARY AMAZÔNIA LEGAL : PROPOSALS FOR SUSTAINABLE AGRICULTURE (2017) (0)
Geometry and topology : proceedings of the school held at the Instituto de Matemática Pura e Aplicada CNPq, Rio de Janeiro, July 1976 (1977) (0)
Publishing: Ranking Brazilian research output (2013) (0)
New Developments in Dynamics: Hyperbolicity and Chaotic Dynamics (lecture) (1992) (0)
Topological invariants as numbers of translation (1985) (0)
MacConkey-II lactose agar for screening recombinant plasmids. (1993) (0)
First Words (2008) (0)

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