Giovanni Forni

Q: What Schools Are Affiliated With Giovanni Forni

Giovanni Forni is affiliated with the following schools: University of Maryland, College Park, Scuola Normale Superiore di Pisa, Consorzio ICoN, Princeton University, University of Chicago, Johns Hopkins University, University of Bologna

Giovanni Forni 's AcademicInfluence.com Rankings

Giovanni Forni

Mathematics

#4666

World Rank

#6607

Historical Rank

Measure Theory

#4593

World Rank

#5375

Historical Rank

mathematics Degrees

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Mathematics

Giovanni Forni 's Degrees

PhD Mathematics Scuola Normale Superiore di Pisa

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Giovanni Forni '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

Deviation of ergodic averages for area-preserving flows on surfaces of higher genus (2004) (268)
Weak mixing for interval exchange transformations and translation flows (2004) (183)
Invariant distributions and time averages for horocycle flows (2003) (180)
SOLUTIONS OF THE COHOMOLOGICAL EQUATION FOR AREA-PRESERVING FLOWS ON COMPACT SURFACES OF HIGHER GENUS (1997) (136)
Action minimizing orbits in hamiltomian systems (1994) (98)
Introduction to Teichm\"uller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards (2013) (87)
Chapter 8 - On the Lyapunov Exponents of the Kontsevich–Zorich Cocycle (2006) (67)
SQUARE-TILED CYCLIC COVERS (2010) (52)
A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle (2010) (48)
Equidistribution of nilflows and applications to theta sums (2006) (48)
Lyapunov spectrum of invariant subbundles of the Hodge bundle (2011) (40)
Time-changes of horocycle flows (2012) (40)
Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow (2007) (37)
AN EXAMPLE OF A TEICHMÜLLER DISK IN GENUS 4 WITH DEGENERATE KONTSEVICH-ZORICH SPECTRUM (2008) (33)
Limit Theorems for Horocycle Flows (2011) (31)
On the cohomological equation for nilflows (2005) (31)
Deviation of ergodic averages for rational polygonal billiards (2007) (30)
Analytic destruction of invariant circles (1994) (28)
Zero Lyapunov exponents of the Hodge bundle (2012) (27)
Mixing for the time-changes of Heisenberg nilflows (2010) (26)
Effective equidistribution of twisted horocycle flows and horocycle maps (2015) (24)
On the Greenfield-Wallach and Katok conjectures (2007) (19)
On effective equidistribution for higher step nilflows (2014) (19)
Transport Properties of Kicked and Quasiperiodic Hamiltonians (1997) (18)
Transition to chaos in classical and quantum mechanics (1994) (15)
Lebesgue spectrum of countable multiplicity for conservative flows on the torus (2019) (13)
Mixing for smooth time-changes of general nilflows (2019) (13)
Lebesgue spectrum for area preserving flows on the two torus (2016) (13)
Sobolev regularity of solutions of the cohomological equation (2007) (12)
Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows (2018) (11)
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces (2020) (11)
Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows (2018) (11)
Time-Changes of Heisenberg nilflows (2017) (11)
Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups (2015) (10)
Limits of geodesic push-forwards of horocycle invariant measures (2019) (9)
Construction of invariant measures supported within the gaps of Aubry–Mather sets (1996) (9)
Invariant distributions for homogeneous flows and affine transformations (2016) (9)
Twisted translation flows and effective weak mixing (2019) (9)
Effective Equidistribution of Nilflows and Bounds onWeyl Sums (2016) (7)
The cohomological equation for area-preserving flows on compact surfaces (1995) (7)
Asymptotic Behaviour of Ergodic Integrals of 'Renormalizab le' Parabolic Flows (2003) (6)
On the growth of averaged Weyl sums for rigid rotations (1998) (5)
Mixing Flows on Moduli Spaces of Flat Bundles over Surfaces (2017) (4)
Cohomological equation and local conjugacy class of Diophantine interval exchange maps (2017) (4)
Homology and cohomology with compact supports forq-convex spaces (1991) (4)
ON THE BRIN PRIZE WORK OF ARTUR AVILA IN TEICHMÜLLER DYNAMICS AND INTERVAL-EXCHANGE TRANSFORMATIONS (2012) (4)
Quantitative weak mixing for interval exchange transformations (2021) (3)
Twisted cohomological equations for translation flows (2020) (2)
Ruelle resonances from cohomological equations (2020) (2)
Invariant Distributions for homogeneous flows (2013) (2)
Construction of invariant measures and destruction of invariant curves for twist maps of the annulus (1993) (2)
Bill Veech's contributions to dynamical systems (2019) (1)
Counterexamples to a rigidity conjecture (2021) (1)
Differentiable Dynamics and Smooth Ergodic Theory Systèmes dynamiques différentiables et théorie érgodique lisse (Org: (2006) (0)
Weakly Mixing Polygonal Billiards (2020) (0)
A Central Limit Theorem for the Kontsevich-Zorich Cocycle (2022) (0)
11 J an 2 00 8 DEVIATION OF ERGODIC AVERAGES FOR RATIONAL POLYGONAL (2008) (0)
SOCIÉTÉ MATHÉMATIQUE DE FRANCE (2020) (0)
THE DEGREE OF BOWEN FACTORS AND INJECTIVE CODINGS OF DIFFEOMORPHISMS (2019) (0)
Equidistribution of nilflows and bounds on Weyl sums (2023) (0)
N ov 2 00 7 DEVIATION OF ERGODIC AVERAGES FOR RATIONAL POLYGONAL (2007) (0)
Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus (2022) (0)
Effective equidistribution of twisted horocycle flows and horocycle maps (2016) (0)
Title of dissertation: BEYOND ORIENTABILITY AND COMPACTNESS: NEW RESULTS ON THE DYNAMICS OF FLAT SURFACES (2012) (0)

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What Schools Are Affiliated With Giovanni Forni ?

Giovanni Forni is affiliated with the following schools:

Giovanni Forni 's Academic­Influence.com Rankings