S. G. Dani | Academic Influence

S. G. Dani's AcademicInfluence.com Rankings

S. G. Dani

Mathematics

#1668

World Rank

#2684

Historical Rank

Measure Theory

#2811

World Rank

#3349

Historical Rank

mathematics Degrees

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Mathematics

S. G. Dani's Degrees

PhD Mathematics University of Mumbai

Why Is S. G. Dani Influential?

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According to Wikipedia, Shrikrishna Gopalrao Dani is a professor of mathematics at the Centre for Excellence in Basic Sciences, Mumbai who works in the broad area of ergodic theory. Education He did a master's degree from the University of Mumbai in 1969. He then joined the Tata Institute of Fundamental Research , Mumbai for a PhD which he was awarded in 1975. After that, he joined TIFR as a faculty member. After TIFR, he was the Chair Professor at the Indian Institute of Technology, Bombay. He was a visiting scholar at the Institute for Advanced Study during 1976–77 and 1983–84.

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S. G. Dani'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

Divergent trajectories of flows on homogeneous spaces and Diophantine approximation. (1985) (233)
Limit distributions of orbits of unipotent flows and values of quadratic forms (1993) (216)
On orbits of unipotent flows on homogeneous spaces (1984) (118)
Invariant measures and minimal sets of horospherical flows (1981) (113)
Uniform distribution of horocycle orbits for Fuchsian groups (1984) (109)
Bounded orbits of flows on homogeneous spaces (1986) (91)
Values of quadratic forms at primitive integral points (1989) (88)
Orbit closures of generic unipotent flows on homogeneous spaces ofSL(3, ℝ) (1990) (85)
Invariant measures of horospherical flows on noncompact homogeneous spaces (1978) (83)
Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces (1991) (73)
On invariant measures, minimal sets and a lemma of margulis (1979) (64)
Anosov automorphisms on compact nilmanifolds associated with graphs (2004) (62)
Dynamical systems on homogeneous spaces (1976) (56)
On orbits of endomorphisms of tori and the Schmidt game (1988) (48)
Orbits of horospherical flows (1986) (47)
On ergodic quasi-invariant measures of group automorphism (1982) (46)
Number Theory and Dynamical Systems: On badly approximable numbers, Schmidt games and bounded orbits of flows (1989) (45)
Orbits of euclidean frames under discrete linear groups (1980) (40)
Eisenstein series on three-dimensional hyperbolic space and imaginary quadratic number fields. (1985) (39)
On orbits of unipotent flows on homogeneous spaces, II (1986) (37)
A simple proof of Borel's density theorem (1980) (35)
Nilmanifolds with Anosov Automorphism (1978) (34)
On uniformly distributed orbits of certain horocycle flows (1982) (34)
Embeddability of infinitely divisible distributions on linear Lie groups (1992) (34)
Continued fractions for complex numbers and values of binary quadratic forms (2011) (32)
Kolmogorov automorphisms on homogeneous spaces (1976) (30)
Spectrum of an affine transformation (1977) (29)
Factors, roots and embeddability of measures on lie groups (1988) (28)
Contraction subgroups and semistable measures on p-adic Lie groups (1991) (25)
On automorphism groups of connected Lie groups (1992) (18)
Proceedings of the CIMPA-TIFR School on probability measures on groups : recent directions and trends (2006) (17)
On the factor sets of measures and local tightness of convolution semigroups over Lie groups (1988) (17)
Ergodic Theory: with a view towards Number Theory . By Manfred Einsiedler Thomas Ward . Springer Verlag, London, 2011 (2012) (16)
On conjugacy classes of closed subgroups and stabilizers of Borel actions of Lie groups (2002) (14)
Bernoulli an Translations and Minimal Horospheres on Homogeneous Spaces (1976) (14)
Continuous equivariant images of lattice-actions on boundaries (1984) (13)
Convolution roots and embeddings of probability measures on Lie groups (2007) (13)
Badly approximable numbers and vectors in Cantor-like sets (2012) (13)
Flows on Homogeneous Spaces and Diophantine Approximation (1995) (13)
Invariance groups and convergence of types of measures on Lie groups (1992) (13)
Continued fraction expansions for complex numbers - a general approach (2015) (11)
Corrections to the paper ‘On orbits of unipotent flows on homogeneous spaces’ (1986) (11)
Dense Orbits of Affine Automorphisms and Compactness of Groups (1982) (11)
On Values of Linear and Quadratic Forms at Integral Points (2000) (10)
Collapsible probability measures and concentration functions on Lie groups (1997) (10)
Ergodic invariant measures for actions of SL(2, Z) (1979) (10)
Simultaneous diophantine approximation with quadratic and linear forms (2007) (9)
Locally compact groups with dense orbits under $\bm{\mathbb{Z}}^{\bm{d}}$-actions by automorphisms (2006) (9)
Multi-dimensional metric approximation by primitive points (2013) (9)
Ancient Indian mathematics — A conspectus (2012) (9)
On sl(n, z)+-orbits on r n and positive integral solutions of linear inequalities (2009) (8)
On the surjectivity of the power maps of a class of solvable groups (2016) (8)
Affinely infinitely divisible distributions and the embedding problem (2002) (7)
On the limit distributions of orbits of unipotent flows and integral solutions of quadratic inequalities (1992) (7)
On invariant measures of the Euclidean algorithm (2007) (6)
Convolution roots and embeddings of probability measures on locally compact groups (2010) (6)
A Note on Tortrat Groups (1998) (6)
Some two-step and three-step nilpotent Lie groups with small automorphism groups (2002) (6)
Dense orbits of horospherical flows (1989) (6)
A criterion for exponentiality in certain lie groups (2001) (6)
Geometry in the Śulvasūtras (2010) (5)
Geometry in History (2019) (5)
On values of binary quadratic forms at integer points (2014) (5)
On the embedding problem for infinitely divisible distributions on certain Lie groups with toral center (2003) (5)
On Orbits of SL(2,Z)+ and Values of Binary Quadratic Forms on Positive Integral Pairs☆ (2002) (5)
Asymptotic behaviour of measures under automorphisms (2002) (5)
Dynamical properties of linear and projective transformations and their applications (2005) (5)
Infinitely divisible probabilities on discrete linear groups (1996) (4)
Myths and reality : On 'Vedic mathematics' (1993) (4)
Strictly non-ergodic actions on homogeneous spaces (1980) (4)
Parabolic subgroups and factor compactness of measures on semisimple lie groups (1986) (4)
Dynamics of horospherical flows (1980) (4)
Actions on spaces of measures on Lie groups and convergence of types (1997) (4)
On infinitely divisible measures on certain finitely generated groups (1993) (3)
Topological equivalence and rigidity of flows on certain solvmanifolds (1999) (3)
Kosambi, the mathematician (2011) (3)
Scattering of products of random matrices (1996) (3)
Convergents as approximants in continued fraction expansions of complex numbers with Eisenstein integers (2017) (3)
Actions of automorphism groups of Lie groups (2017) (3)
On affine automorphisms with a hyperbolic fixed point (1980) (3)
On ergodic ℤd-actions on Lie groups by automorphisms (2001) (3)
On the Pythagorean triples in the Sulvasūtras (2003) (3)
On the embeddability of certain infinitely divisible probability measures on Lie groups (2011) (3)
Divergent trajectories of flows on homogeneous spaces and Diophantine approximations. (1985) (3)
A note on invariant finitely additive measures (1985) (3)
On automorphism groups acting ergodically on connected locally compact groups (2000) (2)
On invariant finitely additive measures for automorphism groups acting on tori (1985) (2)
Embedding infinitely divisible probablities on the affine group (1989) (2)
Factors, roots and embeddings of measures on Lie groups (2008) (2)
Diophantine Approximation and Dynamics of Unipotent Flows on Homogeneous Spaces (2008) (1)
'Vedic Mathematics': Myth and Reality (2016) (1)
Approaching new points by application of linear transformations (1987) (1)
A characterization of the Cauchy-type distributions on boundaries of semisimple groups (1991) (1)
On the radicals of exponential Lie groups (2016) (1)
Harmonious orbits of linear transformations (1996) (1)
Generalized continued fraction expansions of complex numbers, and applications to quadratic and badly approximable numbers (2021) (1)
Marina Ratner (1938–2017) (2019) (0)
Diophantine approximation with nonsingular integral transformations (2019) (0)
Ergodic Theory of ℤ d Actions: Flows on homogeneous spaces (1996) (0)
Affine almost automorphic actions on compact nilmanifolds (2012) (0)
Roots of elements in Lie groups and the exponential maps (2019) (0)
Under the new norms , a candidate is eligible for getting admission in B . E . and B . Tech (2021) (0)
In Memory of Marina Ratner 1938–2017 (2019) (0)
Number theory and discrete geometry : proceedings of the international conference on number theory and discrete geometry, Panjab University, Chandigarh, December 2005 (2010) (0)
Proceedings of the International Conference on Algebraic Groups and Arithmetic Mumbai 2001 (2004) (0)
Contributions in Algebra and Algebraic Geometry (2019) (0)
Some constructions in the M\=anava \'Sulvas\=utra (2019) (0)
Primes in arithmetic progression (2004) (0)
Cognition of the circle in ancient India (2017) (0)
On ergodic averages for affine lattice actions on tori (1983) (0)
Harmonic ergodicity of actions of certain discrete linear groups (1984) (0)
ASYMPTOTIC BEHAVIOUR UNDER ITERATED RANDOM LINEAR TRANSFORMATIONS (2004) (0)
D ec 2 01 2 Affine Almost Automorphic Actions on Compact Nilmanifolds (2021) (0)
Mensuration of quadrilaterals in the Līlāvatī (2019) (0)
Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai 1996 (1998) (0)
Myths and reality : On ‘Vedic mathematics’ S.G.Dani (0)
Mathematics in Ancient Jaina Literature (2022) (0)
A weak embedding property of probability measures on Lie groups (2007) (0)
KÀtyÀyana OEulvasÂtra : Some Observations (2020) (0)
Flows with periodic factors on homogeneous spaces (1987) (0)
On the embedding problem for infinitely divisible distributions on certain Lie groups with toral center (2006) (0)
India’s arrival on the modern mathematical scene (2012) (0)
Number theory & discrete geometry : proceedings of the International Conference on Number Theory & Discrete Geometry held in honour of professor R.P. Bambah, November 30-December 3, 2005 (2008) (0)
K\=aty\=ayana \'Sulvasutra : Some Observations (2020) (0)
On rationally embeddable measures on Lie groups (2010) (0)
On the embeddability of certain infinitely divisible probability measures on Lie groups (2011) (0)
AÆnely In nitely Divisible Distributionsand the Embedding ProblemS (2009) (0)
Mensuration of quadrilaterals in the L\={\i}l\=avat\={\i} (2017) (0)
Fine structure of the number line (2007) (0)
Addendum to the paper Affinely infinitely divisible distributions and the embedding problem (2005) (0)
Multi-dimensional metric approximation by primitive points (2014) (0)

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