Renzo L. Ricca

Q: What Schools Are Affiliated With Renzo L. Ricca

Renzo L. Ricca is affiliated with the following schools: University of Milan, University College London, University of Pavia, University of Milano-Bicocca, University of Bologna, University of Cambridge

Renzo L. Ricca's AcademicInfluence.com Rankings

Renzo L. Ricca

Mathematics

#4100

World Rank

#5896

Historical Rank

Differential Geometry

#92

World Rank

#109

Historical Rank

Geometry

#165

World Rank

#238

Historical Rank

Group Theory

#307

World Rank

#358

Historical Rank

mathematics Degrees

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Mathematics

Renzo L. Ricca's Degrees

PhD Mathematics University of Milan
Bachelors Mathematics University of Milan

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Why Is Renzo L. Ricca Influential?

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According to Wikipedia, Renzo Luigi Ricca is an Italian-born applied mathematician , professor of mathematical physics at the University of Milano-Bicocca. His principal research interests are in classical field theory, dynamical systems and structural complexity. He is known for his contributions to the field of geometric and topological fluid dynamics and, in particular, for his work on geometric and topological aspects of kinetic and magnetic helicity, and physical knot theory in general.

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Renzo L. Ricca'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

Helicity and the Călugăreanu invariant (1992) (372)
Rediscovery of Da Rios equations (1991) (132)
An introduction to the geometry and topology of fluid flows (2001) (110)
The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics (1996) (104)
The effect of torsion on the motion of a helical vortex filament (1994) (102)
GAUSS' LINKING NUMBER REVISITED (2011) (101)
Topological Ideas and Fluid Mechanics (1996) (82)
Evolution of vortex knots (1999) (74)
Physical interpretation of certain invariants for vortex filament motion under LIA (1992) (67)
How tangled is a tangle (2001) (60)
Conservation of writhe helicity under anti-parallel reconnection (2014) (57)
The Helicity of a Knotted Vortex Filament (1992) (54)
Inflexional disequilibrium of magnetic flux-tubes (2005) (50)
Soap-film Möbius strip changes topology with a twist singularity (2010) (42)
Velocity, energy, and helicity of vortex knots and unknots. (2010) (40)
Torus knots and polynomial invariants for a class of soliton equations. (1993) (39)
EVOLUTION AND INFLEXIONAL INSTABILITY OF TWISTED MAGNETIC FLUX TUBES (1997) (30)
The energy spectrum of a twisted flexible string under elastic relaxation (1995) (28)
The Jones polynomial for fluid knots from helicity (2012) (27)
Applications of knot theory in fluid mechanics (1998) (27)
Topology bounds energy of knots and links (2008) (25)
Helicity conservation under quantum reconnection of vortex rings. (2015) (23)
Knots cascade detected by a monotonically decreasing sequence of values (2016) (22)
Writhing and coiling of closed filaments (2006) (21)
Relaxation of twist helicity in the cascade process of linked quantum vortices. (2017) (20)
On the derivation of the HOMFLYPT polynomial invariant for fluid knots (2015) (19)
Lectures on Topological Fluid Mechanics (2009) (19)
Geometric and topological aspects of vortex filament dynamics under LIA (1995) (14)
Intrinsic equations for the kinematics of a classical vortex string in higher dimensions. (1991) (13)
Multiple folding and packing in DNA modeling (2008) (13)
Structural Complexity and Dynamical Systems (2009) (13)
On torus knots and unknots (2016) (12)
Interpretation of Invariants of the Betchov-Da Rios Equations and of the Euler Equations (1991) (12)
Quantized Vortex Knots (1998) (11)
Twist effects in quantum vortices and phase defects (2018) (11)
New developments in topological fluid mechanics (2009) (11)
On the groundstate energy of tight knots (2009) (10)
New energy and helicity bounds for knotted and braided magnetic fields (2013) (10)
Kinetic energy of vortex knots and unknots (2009) (9)
Induction effects of torus knots and unknots (2017) (9)
Momenta of a vortex tangle by structural complexity analysis (2008) (8)
New developments in topological fluid mechanics: from Kelvin's vortex knots to magnetic knots (1998) (8)
Energy and helicity of magnetic torus knots and braids (2018) (7)
Influence of winding number on vortex knots dynamics (2019) (7)
Vortex Knots Dynamics in Euler Fluids (2013) (7)
Erratum: "Torus knots and polynomial invariants for a class of soliton equations" [Chaos 3, 83 (1993)]. (1995) (7)
Tropicity and complexity measures for vortex tangles (2001) (7)
The Jones polynomial as a new invariant of topological fluid dynamics (2014) (6)
Tackling Fluid Structures Complexity by the Jones Polynomial (2013) (6)
Hydrodynamics of a quantum vortex in the presence of twist (2020) (5)
Impulse of vortex knots from diagram projections (2013) (5)
Structural Complexity of Vortex Flows by Diagram Analysis and Knot Polynomials (2014) (5)
Detecting structural complexity: from visiometrics to genomics and brain research (2009) (5)
Towards a complexity measure theory for vortex tangles (2000) (4)
Minimal unlinking pathways as geodesics in knot polynomial space (2020) (4)
Topological Fluid Dynamics : Theory and Applications Impulse of vortex knots from diagram projections (2013) (4)
On the groundstate energy spectrum of magnetic knots and links (2014) (4)
Zero helicity of Seifert framed defects (2021) (3)
Groundstate energy spectra of knots and links: magnetic versus bending energy (2017) (3)
On Simple Energy - Complexity Relations for Filament Tangles and Networks (2011) (3)
HOMFLYPT polynomial is the best quantifier for topological cascades of vortex knots (2018) (3)
Defect production by pure phase twist injection as Aharonov-Bohm effect. (2019) (3)
Geometric and Topological Aspects of Vortex Motion (2001) (2)
Momentum of vortex tangles by weighted area information. (2019) (2)
Creation of quantum knots and links driven by minimal surfaces (2022) (2)
Tackling Fluid Tangles Complexity by Knot Polynomials (2012) (1)
A new stretch‐twist‐fold model for fast dynamo (2007) (1)
Cascade process of linked quantum vortex loops (2016) (1)
Writhe and twist helicity contributions to an isolated magnetic flux tube and hammock configuration. (1994) (1)
Complexity measures of tangled vortex filaments (2002) (1)
Derivation and interpretation of the Gauss linking number (2011) (1)
Knots and braids on the Sun (2000) (1)
Hydrodynamic derivation of the Gross–Pitaevskii equation in general Riemannian metric (2021) (1)
Energy, helicity and crossing number relations for complex flows (2002) (1)
Hydrodynamics of a quantum vortex in the presence of twist – CORRIGENDUM (2022) (1)
Energy-Complexity Relations by Structural Complexity Methods (2011) (0)
Instability of a quantum vortex by twist perturbation (2022) (0)
Minimal unlinking pathways as geodesics in knot polynomial space (2020) (0)
Lectures on Topological Fluid Mechanics: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001 (2009) (0)
Twist and fold modelling of supercoiled filaments (2006) (0)
Minimum energy configurations of a twisted flexible string under elastic relaxation (1996) (0)
Vortex knot cascade in polynomial skein relations (2016) (0)
DNA supercoiling modeling of nucleosome and viral spooling (2007) (0)
Preliminary results on the evolution of knotted vortex structures (1997) (0)
いま流行の,トポロジ-と流体力学 (1997) (0)
Cascade of vortex knots detected by HOMFLYPT polynomial (2016) (0)
The hydrogen abstraction from a diamond(Ill) surface in a uniform electric field (0)
Temperature and impurity dependence of the electrical resistivity in dilute gallium-based alloys. II. a-axis crystals. (1978) (0)
Strong fundamentals, capital markets make for healthy transactions climate (2013) (0)
Discovery and structure-activity relationships of imidazole-containing tetrahydrobenzodiazepine inhibitors of farnesyltransferase (1999) (0)
One hundred base pairs of 5' flanki late gene are sufficient to temporal (homologous in vivo recombination/promoter translocation/gene reg (2016) (0)
anti-parallel reconnection (2014) (0)
Search for the Decay tau to seven pion (pizero) (2005) (0)

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What Schools Are Affiliated With Renzo L. Ricca?

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Renzo L. Ricca's Academic­Influence.com Rankings

Renzo L. Ricca's Degrees

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Why Is Renzo L. Ricca Influential?

Renzo L. Ricca's Published Works

Published Works

Other Resources About Renzo L. Ricca

What Schools Are Affiliated With Renzo L. Ricca?

Renzo L. Ricca's AcademicInfluence.com Rankings