# Jacob Palis

#9,826

Most Influential Person Now

Brazilian mathematician

## Jacob Palis's AcademicInfluence.com Rankings

Jacob Palismathematics Degrees

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?

(Suggest an Edit or Addition)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.

## Jacob Palis's Published Works

### 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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## What Schools Are Affiliated With Jacob Palis?

Jacob Palis is affiliated with the following schools: