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Pengyu Yang
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All published works
Action
Title
Year
Authors
+
An upper bound of the Hausdorff dimension of singular vectors on affine subspaces
2024
Nimish A. Shah
Pengyu Yang
+
Equidistribution of non-uniformly stretching translates of shrinking smooth curves and weighted Dirichlet approximation
2024
Nimish A. Shah
Pengyu Yang
+
Equidistribution of expanding degenerate manifolds in the space of lattices
2024
Nimish A. Shah
Pengyu Yang
+
PDF
Chat
Rational points on certain homogeneous varieties
2023
Pengyu Yang
+
An upper bound of the Hausdorff dimension of singular vectors on affine subspaces
2023
Nimish A. Shah
Pengyu Yang
+
PDF
Chat
Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem
2023
Nimish A. Shah
Pengyu Yang
+
PDF
Chat
Equidistribution in the space of 3-lattices and Dirichlet-improvable vectors on planar lines
2022
Dmitry Kleinbock
Nicolas de Saxcé
Nimish A. Shah
Pengyu Yang
+
Equidistribution of expanding degenerate manifolds in the space of lattices
2021
Nimish A. Shah
Pengyu Yang
+
PDF
Chat
Equidistribution of expanding translates of curves and Diophantine approximation on matrices
2020
Pengyu Yang
+
Expanding translates of shrinking submanifolds in homogeneous spaces and Diophantine approximation
2018
Nimish A. Shah
Pengyu Yang
+
Fundamental Limits of Coded Linear Transform
2018
Sinong Wang
Jiashang Liu
Ness B. Shroff
Pengyu Yang
+
Equidistribution of expanding translates of curves and Diophantine approximation on matrices
2018
Pengyu Yang
+
Rational points on certain homogeneous varieties
2018
Pengyu Yang
+
Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem
2018
Nimish A. Shah
Pengyu Yang
Common Coauthors
Coauthor
Papers Together
Nimish A. Shah
9
Ness B. Shroff
1
Nicolas de Saxcé
1
Jiashang Liu
1
Sinong Wang
1
Dmitry Kleinbock
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Equidistribution of expanding translates of curves and Dirichlet’s theorem on diophantine approximation
2009
Nimish A. Shah
8
+
Dirichlet's theorem on diophantine approximation and homogeneous flows
2008
Dmitry Kleinbock
Barak Weiss
8
+
PDF
Chat
Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds
1998
Dmitry Kleinbock
G. A. Margulis
8
+
On Raghunathan's Measure Conjecture
1991
Marina Ratner
8
+
PDF
Chat
Equidistribution of curves in homogeneous spaces and Dirichlet's approximation theorem for matrices
2020
Nimish A. Shah
Lei Yang
8
+
PDF
Chat
Uniformly distributed orbits of certain flows on homogeneous spaces
1991
Nimish A. Shah
7
+
Limit distributions of orbits of unipotent flows and values of quadratic forms
1993
S. G. Dani
G. A. Margulis
7
+
PDF
Chat
Dirichlet's theorem on diophantine approximation. II
1970
H. Davenport
Wolfgang M. Schmidt
7
+
Dirichlet's theorem on diophantine approximation
1978
Roger C. Baker
6
+
Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
1985
S. G. Dani
6
+
PDF
Chat
Asymptotic evolution of smooth curves under geodesic flow on hyperbolic manifolds
2009
Nimish A. Shah
5
+
PDF
Chat
Invariant measures for solvable groups and Diophantine approximation
2017
Ronggang Shi
Barak Weiss
5
+
Limit distributions of polynomial trajectories on homogeneous spaces
1994
Nimish A. Shah
5
+
PDF
Chat
Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms
2009
Nimish A. Shah
5
+
PDF
Chat
Equidistribution of expanding translates of curves and Diophantine approximation on matrices
2020
Pengyu Yang
4
+
PDF
Chat
Instability in Invariant Theory
1978
George R. Kempf
4
+
PDF
Chat
Rational Points on Homogeneous Varieties and Equidistribution of Adelic Periods
2011
Alex Gorodnik
Hee Oh
Mikhail Borovoi
4
+
PDF
Chat
Limiting distributions of curves under geodesic flow on hyperbolic manifolds
2009
Nimish A. Shah
4
+
Raghunathan’s topological conjecture and distributions of unipotent flows
1991
Marina Ratner
3
+
PDF
Chat
Density of integer points on affine homogeneous varieties
1993
William Duke
Zeév Rudnick
Peter Sarnak
3
+
PDF
Chat
Diophantine approximation on matrices and Lie groups
2018
Menny Aka
Emmanuel Breuillard
Lior Rosenzweig
Nicolas de Saxcé
3
+
PDF
Chat
Uniform distribution of orbits of lattices on spaces of frames
2004
Alexander Gorodnik
3
+
PDF
Chat
Equidistribution of expanding curves in homogeneous spaces and Diophantine approximation on square matrices
2016
Lei Yang
3
+
Unipotent Flows and Counting Lattice Points on Homogeneous Varieties
1996
Alex Eskin
Shahar Mozes
Nimish A. Shah
3
+
Dirichlet's theorem and diophantine approximation on manifolds
1990
M. M. Dodson
Bryan P. Rynne
James Vickers
3
+
PDF
Chat
Bounded orbits of nonquasiunipotent flows on homogeneous spaces
1995
Dmitry Kleinbock
Gregori Aleksandrovitch Margulis
3
+
Diophantine Approximation, Lattices and Flows on Homogeneous Spaces
2002
G. A. Margulis
3
+
On the space of ergodic invariant measures of unipotent flows
1995
Shahar Mozes
Nimish A. Shah
3
+
PDF
Chat
Mixing, counting, and equidistribution in Lie groups
1993
Alex Eskin
Curt McMullen
3
+
On inverses of Vandermonde and confluent Vandermonde matrices
1962
Walter Gautschi
2
+
Diophantine approximations on submanifolds of Euclidean space
1970
A. S. Pyartli
2
+
PDF
Chat
Manin’s and Peyre’s conjectures on rational points and adelic mixing
2008
Alex Gorodnik
François Maucourant
Hee Oh
2
+
PDF
Chat
Non-planarity and metric Diophantine approximation for systems of linear forms
2015
Victor Beresnevich
Dmitry Kleinbock
G. A. Margulis
2
+
Equidistribution of Translates of Curves on Homogeneous Spaces and Dirichlet's Approximation
2011
Nimish A. Shah
2
+
On the uniform equidistribution of long closed horocycles
2004
Andreas Strömbergsson
2
+
PDF
Chat
IGUSA INTEGRALS AND VOLUME ASYMPTOTICS IN ANALYTIC AND ADELIC GEOMETRY
2010
Antoine Chambert-Loir
Yuri Tschinkel
2
+
PDF
Chat
Geometric results on linear actions of reductive Lie groups for applications to homogeneous dynamics
2017
Rodolphe Richard
Nimish A. Shah
2
+
On effective equidistribution of expanding translates of certain orbits in the space of lattices
2011
Dmitry Kleinbock
G. A. Margulis
2
+
PDF
Chat
Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces
2014
Brendan Hassett
Sho Tanimoto
Yuri Tschinkel
2
+
Conjugacy Classes in Lie Algebras and Algebraic Groups
1967
R. W. Richardson
2
+
Zur metrischen Theorie der diophantischen Approximationen
1926
A. Khintchine
2
+
Rational points of bounded height on Fano varieties
1989
Jens Frankē
Yuri I. Manin
Yuri Tschinkel
2
+
Lattice action on the boundary of SL $(n,\mathbb{R})}$
2003
Alexander Gorodnik
2
+
PDF
Chat
Arithmetic of double torus quotients and the distribution of periodic torus orbits
2019
Ilya Khayutin
2
+
PDF
Chat
Dynamics on flag manifolds: domains of proper discontinuity and cocompactness
2017
Michael Kapovich
Bernhard Leeb
Joan Porti
2
+
Expanding cone and applications to homogeneous dynamics
2015
Ronggang Shi
2
+
Hausdorff dimension of singular vectors
2016
Yitwah Cheung
Nicolas Chevallier
2
+
PDF
Chat
On orbits of unipotent flows on homogeneous spaces
1984
S. G. Dani
2
+
PDF
Chat
Multiple mixing for adele groups and rational points
2015
Alexander Gorodnik
Ramin Takloo-Bighash
Yuri Tschinkel
2
+
Expanding curves in T1(H n ) under geodesic flow and equidistribution in homogeneous spaces
2016
Lei Yang
2